What is the approximate value of x? Round to the nearest tenth.

A) 3.1 cm
B) 3.9 cm
C) 4.6 cm
D) 5.4 cm

What Is The Approximate Value Of X? Round To The Nearest Tenth.A) 3.1 CmB) 3.9 CmC) 4.6 CmD) 5.4 Cm

Answers

Answer 1

x = 6cm * sin(50) = 4.59

 rounded to 4.6

 Answer is C

Answer 2

Answer:

option C is correct    

The approximate value of x is, 4.6 cm(nearest to tenth)

Step-by-step explanation:

In the given figure; the triangle is right angle triangle:

Label the figure:

then, the triangle XYZ is right angle triangle.

Using trigonometric ratio:

The ratio of the opposite side of a right triangle to the hypotenuse is called  the sine. i.e,

[tex]Sine=\frac{opposite}{Hypotenuse}[/tex]

using sine ratio in triangle XYZ:

[tex]\sin 50^{\circ} = \frac{XY}{XZ}[/tex]

Substitute the value of XY = x cm and XZ = 6 cm in above ratio:

[tex]\sin 50^{\circ} = \frac{x}{6}[/tex] or

[tex]0.76604444247801 = \frac{x}{6}[/tex]

Simplify:

[tex]x= 4.59626665[/tex] cm

Therefore, the approximate value of x nearest to tenth is, 4.6 cm




What Is The Approximate Value Of X? Round To The Nearest Tenth.A) 3.1 CmB) 3.9 CmC) 4.6 CmD) 5.4 Cm

Related Questions

Item 15 A square wrestling mat has a perimeter of (12x−32)(12x−32) feet. Write an expression in simplest form that represents the side length (in feet) of the mat.

Answers

3x - 8  this is a simplified version but too late I think lol

Write what the expressions below best represent within the context of the word problem

How many quarts of water must be added to 4 quarts of an 80% mixture to obtain a 50% mixture?

x represents quarts of water to be added to the ____% mixture.
x + 4 represents the total quarts of the mixture at ____%.

Answers

first one is 80%

second one is 50%

1st. is 80%

2nd. is 50%

help please
Find the volume of a pyramid with a square base, where the perimeter of the base is 5.5 m and the height of the pyramid is 2.9 m. Round your answer to the nearest tenth of a cubic meter.

Answers

using V = ⅓[base area×height]
V= ⅓[ (5.5÷4)² × 2.6]
v= ⅓[ 4.92]
v = 1.6m³

The same amount of principal is invested in different accounts earning the same interest rate. Which of the following accounts would have the greatest accumulated value at the end of one year?
a.
An account earning no interest
b.
An account earning simple interest
c.
An account earning interest compounded annually
d.
An account earning interest compounded daily

Answers

The correct option is D.
There are two types of interest, simple interest and compound interest. The simple interest on a loan is usually paid over a certain period at a fixed percentage of the amount borrowed. Compound interest on the other hand can be describes as interest paid on interest. This is because, the calculation of compound interest involves adding the interest accrues on a loan to the principal and then calculating interest on the whole amount. The interest yielded is continuously added to the principal and new principal amount is generated every time the interest is added.
Obviously, it can be seen that calculating compound interest on a daily basis will yield the greatest amount of money compare to other options given.

Answer:

D

Step-by-step explanation:

Gary is looking over his receipts from his trip to Europe. When he was in Germany, he exchanged US dollars for euros at a rate of 1:0.7716, and when he was in Poland, he exchanged euros for Polish zloty at a rate of 1:4.0518. To four decimal places, what was the exchange rate of US dollars to Polish zloty?

Answers

The US to euros is 1: 0.7716, 
The euros to Polish is 1:4.0518

0.77      4.05         0.77     1          0.77
-----  /  --------- =   ------- x ----     = ------         
 1             1              1       4.05     4.05

 (so for every 0.77 dollars it is 4.05 zolty.)

hope this helps

sorry if it is confusing



For anyone who still needs it, the answer is 1:3.1264.

Identify the range of the function shown in the graph

Answers

Answer:


Step-by-step explanation: the answer is b for apex


Choose the biconditional that is equivalent to the definition, "A skyscraper is a very tall building."

Answers

Final answer:

A skyscraper is a very tall building. The biconditional equivalent to this definition is 'A building is a skyscraper if and only if it is very tall.'

Explanation:

The biconditional equivalent to the definition 'A skyscraper is a very tall building' is:

A building is a skyscraper if and only if it is very tall.

This biconditional statement means that for a building to be classified as a skyscraper, it must satisfy the condition of being very tall. Conversely, if a building is very tall, it can be classified as a skyscraper. This definition establishes a two-way relationship between being a skyscraper and being very tall.

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Which ordered pair is a solution to this equation?

2x+6y=10

A (12, 2)
B (4, 1)
C (3, 1)
D (2, 1)

Answers

The answer is D because if you plug in the ordered pair in their correct places the equation becomes 4+6=10.
The correct answer would be answer choice d (2,1)

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate. You want to glaze 5 bowls, and then use the rest for plates. How many plates can you glaze? How much glaze will be left over?

Answers

The answer is 2 plates and .50 glaze left over.

How did I get this?

First lets calculate how many bowls can we glaze. 
5 bowls * 7/8 of a pint = 4.375 pints
4.375 = how many glaze we will need to make 5 bowls.

6 pints - 4.375pints = 1.625 pints left over after we glaze the bowls. 

Now, we need to figure out how many plates we can make with 1.625 glaze.

P X 9/16 = 1.625
Multiply both sides by 16/9 to isolate the variable.
P = 1.625*16/9 
P = 2.88 plates

So, we can only glaze 2 plates. 

How many glaze is left over?
First, how many glaze did we have left over from the bowls? 1.625 glaze
Then, how many plates did we make? 2 at .5625 each = 1.125 glaze

1.625 - 1.125 = .50 glaze left over.

The answer is 2 plates and .50 glaze left over.

2 plates can be glazed and 0.50 glaze will be left over.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total bowls= 5

fraction of pint to glaze bowl= 7/8

So, pint to glaze 5 bowls

= 5 bowls x  7/8 of a pint

=  4.375 pints

and, left over after glazing the bowls.

= 6 pints - 4.375pints

= 1.625

Now, we know to glaze plate pint used= 9/16

So, number of plates will be  = 1.625 x 16/9

                                                 = 2.88 plates

Thus, we can only glaze 2 plates.

Also,  glaze left over

= 1.625 - 1.125

= 0.50 glaze left over.

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Need help quickly ???????!?

Answers

2x - 4y = 6 First leave X term by itself on 1 side so you add 4y on both sides

2x = 4y + 6. Then you divide everything by 2

x = 2y + 3.
Hello,

To start off, if they want us to solve for "x", let's start off by adding 4y to both sides. After you simplify it, the equation is: 2x = 4y+6.

To then get "x" by itself, simply divide "x" by two to both sides. After doing that, the equation simplified is: x = 2y + 3 which is letter D.

Hope this helps!

May

If a triangle is an isosceles triangle, then it has two sides of equal length. If a triangle has two sides of equal length, then it has two angles of equal measure

Conclusion:
If a triangle is an isosceles triangle, then it has two angles of equal measure.



The argument is not valid because the conclusion does not follow from the premises.

The argument is valid by the law of syllogism.

The argument is not valid because the premises are not true.

The argument is valid by the law of detachment.

Answers

it is valid through syllogism

we know that

The Law of Syllogism says that if the following two statements are true:

(1) If p -------> then q .

(2) If q-------> then r .

Then we can derive a third true statement:

(3) If p--------> then r .

In this problem

(1) If a triangle is an isosceles triangle, then it has two sides of equal length

(2) If a triangle has two sides of equal length, then it has two angles of equal measure

Let

p-------> the statement " an isosceles triangle"

q--------> the statement " has two sides of equal length"

r--------->  the statement "has two angles of equal measure"

Then (1) and (2) can be written

1) If p , then q .

2) If q , then r .

So, by the Law of Syllogism, we can deduce

3) If p , then r

or

If a triangle is an isosceles triangle, has two angles of equal measure

therefore

the answer is

The argument is valid by the law of syllogism.

Simplify 5 to the second power

Answers

5 to the second power is 5*5 which would be 25 so then youre left with 25+20, giving you 45 as your answer 

Triangle LMN is located at L(2,3), M(1,2), and N(4,4). The triangle is then transformed using the rule (x+5, y+2) to form the image L’M’N. What are the new coordinates of L’,M’, and N’?

Answers

using the rule (x+5, y+2) you would add 5 to the x value and 2 to the y value so the answer would be L' (7,5) M' (6,4) N' (9,6)

Given:- L (2, 3), M (1, 2), and N make up the triangle known as LMN (4, 4). The image L'M'N' is created by first transforming the triangle according to the rule

To Locate:

What are L's, M's, and N's new coordinates?

Solution:-

Rule for Points = (x + 2) on the x-axis.

Thus, the new x-points axis's are as follows:

L' = 2 + 5 = 7

M' = 1 + 5 = 6

N' = 4 + 5 = 9 .

and, Rule for y - axis Points = (y + 2) .

Therefore, New y - axis points of new ∆ are :-

L' = 3 + 2 = 5

M' = 2 + 2 = 4

N' = 4 + 2 = 6 .

Hence, New coordinates of L', M', and N' :-

L' = (7 , 5)

M' = (6, 4)

N' = (9, 6)

Find out more:

show that the point of trisection for the line connecting the points (-5,12) and (-1,12) is the midpoint of the line connecting the...

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Farmer jinzhou has 300 feet of fencing to enclose two identical rectangular pens that share a common fence. what are the dimensions of the pens that make their areas as large as possible? if x represents the length of the enclosure, what is the domain in the context of this situation?

Answers

Given that the two indentical rectangular pens share a common fencon, then the perimeter to be fenced are three sides (including the common fence) with the same length and two sides of the same length.

Let the length of one of the three sides of the same length be x, then the length of one of the two sides of the same length is [tex] \frac{1}{2} (300-3x) [/tex].

The entire stucture is a stack of two identical rectangles which is also rectangular in shape.

The area of a rectangle is given by length times width. i.e.

[tex]Area= \frac{1}{2} x(300-3x)=150x- \frac{3}{2} x^2[/tex]

For maximum area, the derivative of the area with respect to x equals zero.

[tex] \frac{d}{dx} (Area)=150-3x=0 \\ \\ \Rightarrow3x=150 \\ \\ \Rightarrow x= \frac{150}{3} =50[/tex]

The length of one of the two sides of equal length is [tex]\frac{1}{2} (300-3(50))=\frac{1}{2}(150)=75[/tex]

Therefore, the dimensions of each pen that will make their areas as large as possible is 50 ft by 37.5 ft

What is the value of n in the numerical sentence below?

√16 ÷ 4³ = 4ⁿ

n = ?

Answers

n= -2 because square root of 16 is 4 and 4 is raised to the power 1. The bases are the same so you subtract the exponents since it's division
n = -2
see attachment for calculation.

Sean used 3/4 cup of sugar to make a dozen brownies. How much sugar is in each brownie

Answers

divide 3/4 by 12
.75/12=.0625 which is equivalent to 3/48=1/16
Sean used 1/16 cups of sugar for each brownie
Final answer:

Sean used 3/4 cups of sugar to make 12 brownies. By dividing 3/4 by 12, we find that there is 1/16 cup of sugar in each brownie.

Explanation:

The subject of this problem is mathematics, specifically, it's about division in the context of fractions. In this scenario, Sean used 3/4 cups of sugar to make a dozen (12) brownies. To determine the amount of sugar in each brownie, we can divide the total amount of sugar by the total number of brownies.

So, 3/4 divided by 12 is 1/16. This means that there is 1/16 cup of sugar in each brownie.

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a line segment has endpoints (4,7) and (1,11).what is the length of the segment

Answers

1st use the distance formula 

x1 for 4,          y1 for 7,                 x2 for 1,               y2 for 11

2. put them together.  D= Square root (1-4)^2 + (11-7)^2
3.                                  D=  square root            (-3)^2 +(4)^2
4.                                  D=   Square root                  9+16
5.                                                             D= square root 25
6.                                  D= -5

Evaluate exactly the value of the integral from negative 1 to 0 of the product of the cube of the quantity 2 times x to the 4th power plus 8 times x and 4 times x to the 3rd power plus 4, dx. Your work must include the use of substitution and the antiderivative.

Answers

[tex]\bf \displaystyle \int_{-1}^{0}~(2x^4+8x)^3(4x^3+4)\cdot dx\\\\ -------------------------------\\\\ u=2x^4+8x\implies \cfrac{du}{dx}=8x^3+8\implies \cfrac{du}{2(4x^3+4)}=dx\\\\ -------------------------------\\\\ \displaystyle \int_{-1}^{0}~u^3\underline{(4x^3+4)}\cdot \cfrac{du}{2\underline{(4x^3+4)}}\implies \cfrac{1}{2}\int_{-1}^0~u^3\cdot du\\\\ -------------------------------\\\\ [/tex]

[tex]\bf \textit{now, let's change the bounds, using }u(x)\\\\ u(-1)=2(-1)^4+8(-1)\implies u(-1)=-6 \\\\\\ u(0)=2(0)^4+8(0)\implies u(0)=0\\\\ -------------------------------\\\\ \displaystyle \cfrac{1}{2}\int_{-6}^0~u^3\cdot du\implies \left.\cfrac{1}{2}\cdot \cfrac{u^4}{4} \right]_{-6}^0\implies \left. \cfrac{u^4}{8} \right]_{-6}^0 \\\\\\\ [0]~~-~~[162]\implies -162[/tex]

notice, by changing the bounds using u(x), we do not need to substitute back the "u".

Answer:

-162

Step-by-step explanation:

Integration by substitution is a technique in calculus where a change of variables is made to simplify the integral by expressing it in terms of a new variable, making the integration easier to manage.

To evaluate the following integral, use the method of substitution:

[tex]\displaystyle \int_{-1}^0 (2x^4 + 8x)^3 (4x^3 + 4) \;\text{d}x[/tex]

Let u = 2x⁴ + 8x.

Differentiate u with respect to x using the power rule for differentiation by multiplying each term by its exponent and then subtracting 1 from the exponent:

[tex]\dfrac{\text{d}u}{\text{d}x}=4 \cdot 2x^{4-1}+1\cdot 8 x^{1-1}[/tex]

[tex]\dfrac{\text{d}u}{\text{d}x}=8x^{3}+8[/tex]

Rewrite it so that dx is on its own:

[tex]\text{d}u=8x^{3}+8\;\text{d}x[/tex]

[tex]\text{d}x=\dfrac{1}{8x^{3}+8}\;\text{d}u[/tex]

Change the limits of integration from x to u:

[tex]\begin{aligned}x=-1 \implies u&=2(-1)^4 + 8(-1)\\&=2(1)-8\\&=2-8\\&=-6\end{aligned}[/tex]

[tex]\begin{aligned}x=0 \implies u&=2(0)^4 + 8(0)\\&=2(0)-0\\&=0-0\\&=0\end{aligned}[/tex]

Rewrite the integral in terms of u:

[tex]\begin{aligned}\displaystyle \int_{-1}^0 (2x^4 + 8x)^3 (4x^3 + 4) \;\text{d}x&=\int_{-6}^0 u^3 (4x^3 + 4) \cdot \dfrac{1}{8x^{3}+8}\;\text{d}u\\\\&=\int_{-6}^0 u^3 (4x^3 + 4) \cdot \dfrac{1}{2(4x^{3}+4)}\;\text{d}u\\\\&=\int_{-6}^0\dfrac{u^3}{2} \;\text{d}u\end{aligned}[/tex]

Integrate with respect to u using the power rule for integration by adding 1 to the exponent of each term and then dividing by the new exponent:

[tex]\begin{aligned}\displaystyle \int_{-6}^0\dfrac{u^3}{2} &=\left[\dfrac{u^{3+1}}{2 \cdot (3+1)}\right]^0_{-6}\\\\&=\left[\dfrac{u^{4}}{8}\right]^0_{-6}\\\\&=\dfrac{(0)^4}{8}-\dfrac{(-6)^4}{8}\\\\&=0-\dfrac{1296}{8}\\\\&=-162\end{aligned}[/tex]

Therefore, the value of the given integral is -162.

PLEASE HELP MATH!!!!!!

Answers

The slope of the line segmenThe slope of the line segment would be 1/4 because the graph is rising by 4 and running by 1, hence 1/4.
1. (1,4)(2,8)
     slope = (8 - 4) / (2 - 1) = 4 <==
=================
2. Brand A : 9 * 12 = 108
    Brand B : 9 * 15 = 135
   so Brand B costs (135 - 108) = 27 bucks more
=================
3. both calculated 2/9
=================
4. initial value is 5
    

Plz halp. I just need #20, and please write out the equation so I know how to do it for future problems, thanks!

Answers

The number you need is 16 all you have to do is work out the problem and try to understand it they are trying to confuse you don't need an equation.
Hope this help!
Have a Great day mate !!

What is the solution set to the equation (2x−4)(4x−5)=0

Answers

Answer:

[tex]\left \{ 2,\frac{5}{4} \right \}[/tex]

Step-by-step explanation:

We know that for equation of type [tex](x-a)(x-b)=0[/tex], solutions are [tex]x=a\,,\,x=b[/tex] as both points x = a and x = b satisfy the equation (x-a)(x-b)=0

Given : equation (2x−4)(4x−5)=0

To find  : Solution set of this equation .

Solution :

On dividing this equation by 2 and 4, we get

[tex]\left ( \frac{2x-4}{2} \right )\left ( \frac{4x-5}{4} \right )=0\\\left ( x-2 \right )\left ( x-\frac{5}{4} \right )=0[/tex]

On comparing equation [tex]\left ( x-2 \right )\left ( x-\frac{5}{4} \right )=0[/tex] with [tex]\left ( x-a \right )\left ( x-b \right )=0[/tex], we get [tex]a=2\,,\,b=\frac{5}{4}[/tex]

Therefore, solution set is [tex]\left \{ 2,\frac{5}{4} \right \}[/tex]

Final answer:

The solution set to the equation (2x−4)(4x−5) = 0 is {2, 5/4}.

Explanation:

The equation (2x−4)(4x−5) = 0 represents a quadratic equation. To solve this equation, we can set each factor equal to zero and solve for x. So we have:

2x - 4 = 0, which gives x = 2

4x - 5 = 0, which gives x = 5/4

Therefore, the solution set to the equation is {2, 5/4}.

Parker bought a student discount card for the movies. The card cost $7 and and allows him to buy movie tickets for $5.50. After one month, Parker has spent $89.50 total. How many tickets has he bought since getting the discount card?
A) 12 tickets
B) 14 tickets
C) 15 tickets
D) 16 tickets

Answers

C. is the answer for sure 


m ∠ A = 100 - x
m ∠ B = 80 + x
m ∠ C = 110 - 3x
m ∠ D = 75 + 2x
Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are equal. Prove that Quadrilateral ABCD is a parallelogram by finding the value of x.
A) x = 5
B) x = 7
C) x = 10
D) x = 15/2

Answers

<A must be congruent to <C

100 - x = 110 - 3x

100 + 2x = 110

2x = 10

x = 5

m<A = 100 - x = 100 - 5 = 95

m<C = 110 - 3x = 110 - 3 * 5 = 110 - 15 = 95

Opposite angles A and C are congruent.
Now we need to check opposite angles B and D.

m<B = 80 + x = 80 - 5 = 75

m<D = 75 + 2x = 75 + 2 * 5 = 75 + 10 = 85

Opposite angles B and D are also congruent.

Answer: x = 5

The equation c = 6.5h represents the cost, c, of renting a bicycle for h hours. The table below can be used to show the same information.

If Francesca rents a bicycle for 2 hours and Phil rents a bicycle for 6 hours, how much more does Phil pay?
$13
$26
$39
$52

Answers

c = 6.5h

for 2 hrs...so we sub in 2 for h...for francesca
c = 6.5(2)
c = 13 

for 6 hrs...so we sub in 6 for h...for phil
c = 6.5(6)
c = 39

so Phil pays (39 - 13) = 26 more <=


Answer:

26 (I got 100%)

Step-by-step explanation:

39 - 13

Phil payment - Francesca payment = 26

Assume that a randomly selected subject is given a bone density test. those test scores are normally distributed with a mean of 0 and a standard deviation of 1. find the probability that a given score is less than 1.66 and draw a sketch of the region.

Answers

Given:
μ = 0, the population mean
σ = 1, the population standard deviation

For the random variable x = 1.66, the z-score is
z = (1.66 - 0)/1 = 1.66
From standard tables,
P(x < 1.66) = 0.952

Answer:
0.952 or 952%
The area (probability) is shown in the figure.

Please Help!
Which is true about the domain and range of a function in the form f(x) = m, where m is a real number greater than 0?

The only value that must be in both the domain and range is 0.
The only values that must be in both the domain and range are 0 and 1.
There are no values that are in the domain and the range.
There is an infinite number of values that are in both the domain and range.

Answers

Answer:

infinite number of values in domain and range

Step-by-step explanation:

need points for finals

Final answer:

For a function of the form f(x) = m, the domain is all real numbers and the range is the single real number m. Thus, there are no values that are in both the domain and the range.

Explanation:

In a function of the form f(x) = m, where m is a real number greater than 0, the domain encompasses all real numbers since there are no restrictions on any values of x that would make the function undefined. Since the function gives the same result (m) regardless of what x is, f(x) remains constant. Thus, the range only contains one real number, which is m.

The correct option from the ones given, therefore, is: There are no values that are in the domain and the range. This is because the domain contains all real numbers, while the range contains only one number (m), and these sets do not overlap.

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Explain how to determine if these two are the same function expressed in different ways

Answers

Answer:

Sample Answer:

When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.

Step-by-step explanation:

Answer:

When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.

Step-by-step explanation:

Let x1, . . . , xn be independent exponential random variables having a common parameter λ. determine the distribution of min(x1, . . . , xn)

Answers

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

 

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

Final answer:

The distribution of min(x1, . . . , xn) for independent exponential random variables with common parameter λ is given by the exponential distribution with parameter λ*n.

Explanation:

The distribution of min(x1, . . . , xn) for independent exponential random variables with common parameter λ is given by the exponential distribution with parameter λ*n.

To determine this, we can use the fact that the minimum of a set of random variables is less than or equal to a given value if and only if each of the individual random variables is less than or equal to that value. So, we can find the cumulative distribution function (CDF) of the minimum by raising the CDF of each individual exponential random variable to the power of the number of variables in the minimum. The resulting distribution is an exponential distribution with parameter λ*n.

James is writing a coordinate proof involving a parallelogram. Knowing that the opposite sides of a parallelogram are congruent, James places his parallelogram on the coordinate plane such that one vertex is at the origin and one side lies along the x-axis. What coordinates should he assign to the fourth vertex of the parallelogram? (2a, a) (2a, a2) (a2, 0) (2a, 2a) 

Answers

(2a,a)
is ur answer
hope this helps

Answer:-(2a,a) coordinates he should assign to the fourth vertex of the parallelogram.


Explanation:-

Let ABCD be the vertices of the given parallelogram such that A=(0.,0) , B=(a,0) , C(x,y) and D=(a,a)

Construct the diagonals AC and BD of parallelogram ABCD .

We know that diagonals of a parallelogram bisect each other.

⇒ mid point of AC= mid point of BD...(1)

Mid point of BD[tex]=(\frac{a+a}{2},\frac{0+a}{2})=(\frac{2a}{2},\frac{a}{2})=(a,\frac{a}{2})[/tex]........(2)

Mid point of AC[tex]=(\frac{0+x}{2},\frac{0+y}{2})=(\frac{x}{2},\frac{y}{2})[/tex]......(3)

Substitute (2) and (3) in (1), we get

[tex](\frac{x}{2},\frac{y}{2})=(a,\frac{a}{2})\\\Rightarrow\frac{x}{2}=a;\frac{y}{2}=\frac{a}{2}[/tex]

 [tex]\Rightarrow\ x=2a\ and\ y=a[/tex]

⇒C=(2a,a)

⇒ (2a,a) coordinates he should assign to the fourth vertex of the parallelogram.



Danielle can spend up to $600 buying small and large jackets for her employees. Small jackets cost $20 each and large jackets cost $25 each. To get a special discount, she needs the number of large jackets to be no more than twice the number of small jackets. Also, she needs to order at least 6 small jackets and 10 large jackets. The graph shows the feasible region, where x represents the number of small jackets and y represents the number of large jackets. Which ordered pairs meet all the constraints and make sense in context of the situation? Select each correct answer. (13, 11) (15, 11) (8, 9) (7, 15) (10,13)

Answers

Answer:

10,13 13, 15,11

Step-by-step explanation:

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