In the figure above, sin 52=17/c. Based on the figure, which of the following equations is also true
A. Sin 38= c/17
B. Cos 38=17/c
C. Cos 52=17/c
D. Tan 52=c/17

Step-by-step explanation:

Step 1. subtract 2Y from both sides

4y+3-2y>+14-2y 2y+3>14

step 2. subtract 3 from both sides

2y+3-3>14-3 2y>11

step 3. divide both sides by 2

2÷2y>11÷2 y>11÷2

answer is: y>11/ 2

The given inequality (4y + 3 > 2y + 14) is reduced to y > 5.5 and this can be evaluated by using the arithmetic operations.

Given :

Inequality  --  4y + 3 > 2y + 14

The following steps can be used to evaluate the given inequality:

Step 1 - Write the given inequality.

4y + 3 > 2y + 14

Step 2 - Subtract 3 from both sides in the above inequality.

4y + 3 - 3 > 2y + 14 - 3

4y > 2y + 11

Step 3 - Subtract 2y from both sides in the above inequality.

4y - 2y > 2y + 11 - 2y

Step 4 - Simplify the above inequality.

2y > 11

Step 5 - Divide by 2 on both sides in the above inequality.

y > 5.5

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Answer:

400

Step-by-step explanation:

Movies, drinks and candies are independent events and you can choose one for each.

Movie: 10 options can be selected

drinks: 5

candy: 8

All types: 10 x 5 x 8 = 400

Answer:

1] Estimated cost for 1 semester=$22800

2] Total semester in 4 years=8

3] Estimated total cost for 4 years =$182400

Step-by-step explanation:

Given:-

Estimated cost per semester

Tuition fee(T) =$10000

Books(B) = $1200

Room and board(R)=$10030

Other expense(O)=$1570

Now,

1] To find the estimated cost to attend this college for 1 semester.

Answer:-

Estimated cost for 1 semester(E)= Tuition fee+Books+Room and Board+Other expense

[tex]E=T+B+R+O[/tex]

[tex]E=10000+1200+10030+1570[/tex]

[tex]Estimated\ cost\ for\ 1\ semester=22800[/tex]

Therefore estimated cost to attend this college for 1 semester = $22800

2]Each year has 2 semester. How many semester will Joe pay for if he attends for 4 years.

Answer:-

If 1 year has 2 semester, then

total semester in 4 years=[tex]2\times 4[/tex]

total semester in 4 years=8

Therefore Joe will pay for 8 semester if attends for 4 years.

3] What is the estimated total cost for Joe to attend this college for 4 years.

Estimated total cost for 4 years = Estimated total cost for 1 semester[tex]\times[/tex]8

Estimated total cost for 4 years=22800[tex]\times[/tex]8

Estimated total cost for 4 years =$182400

Answer:

onion : tomato : something = 1:3:8

onion required = 1/12 × 24 = 2 cup

Answer: 20

Step-by-step explanation: For every 6 adult camels there are 5 baby camels so if you add both together, you get 11 and if you multiply that times 4 you get 44. Now you multiply 4 times the 5 baby camels to go your answer, 20.

There are 20 baby camels at the zoo.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let x be the number of groups of adult and baby camels, each consisting of 6 adult camels and 5 baby camels. Then we know that:

The total number of adult camels is 6x.

The total number of baby camels is 5x.

The total number of adult and baby camels is 44.

Therefore, we can write the equation:

6x + 5x = 44

Simplifying, we get:

11x = 44

Dividing both sides by 11, we get:

x = 4

So there are 4 groups of adult and baby camels. To find the number of baby camels, we can multiply the number of groups by the number of baby camels in each group:

5x = 5(4) = 20

Therefore, there are 20 baby camels at the zoo.

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Answer: D.

Step-by-step explanation: Add all of the sides' lengths together. The rest of the wall beneath where "5 ft." is measures as 6 ft. Add that to the 5 ft of the rest of the wall and you'll have 11 for  the whole right wall. Add 11 to 8, 10 and 12, and you'll have 41 which is close to the last choice so you're safest bet is D.

The homeowner needs 48 feet of crown molding.

To determine how many feet of crown molding she needs, the homeowner needs to find the perimeter of the room. The room has four sides, each measuring 12 feet, so the perimeter is 4 * 12 = 48 feet. Therefore, the homeowner needs 48 feet of crown molding.

Answer:

42

Step-by-step explanation:

here,

if y=3 then

width is 3+4=7

We know,

Area = l*b

6*7=42 ans

Answer:

Step-by-step explanation:

[tex]\bold{METHOD\ 1:}[/tex]

[tex]\text{The formula of an area of a rectangle:}\\\\A=l\times w\\\\l-\text{length}\\w-\text{width}\\\\\text{We have:}\\\\l=6,\ w=y+4\\\\\text{Substitute:}\\\\A=6\times(y+4)\\\\\text{use the distributive property}:\ a(b+c)=ab+ac\\\\A=(6)(y)+(6)(4)\\\\A=6y+24[/tex]

[tex]\text{Put}\ y=3\ \text{to the expression}\\\\A=6(3)+24=18+24=42\ in^2[/tex]

[tex]\bold{METHOD\ 2:}[/tex]

[tex]\text{Put}\ y = 3\ \text{to}\ y+4:\ 3+4=7\\\\\text{Put the values of length and width to the formula of an area of a rectangle:}\\\\A=(6)(7)=42\ in^2[/tex]

Answer:

r = -2.

Step-by-step explanation:

-13r+ 20r = -14

7r = -14

r = -14/7

r = -2.

Answer:

-2

Step-by-step explanation:

-13r+20r=-14

7r=-14

r=-2

The right answer is Option C.

Step-by-step explanation:

Given inequality is

6(2x-1)  > 24

Solving the inequality

[tex]6*2x-1*6>24\\12x-6>24[/tex]

Adding 6 on both sides

[tex]12x-6+6>24+6\\12x>30[/tex]

Dividing both sides by 12

[tex]\frac{12x}{12}>\frac{30}{12}\\x>\frac{5}{2}[/tex]

Therefore,

[tex]x>\frac{5}{2}[/tex]

The right answer is Option C.

Keywords: inequality, division

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Answer:Where is the picture?

Step-by-step explanation:

Answer:

Antarctica's highest recorded temperature was 15 degrees.

Step-by-step explanation:

I am going to say that Antarctica highest recorded temperature is x.

I suppose there is a small typing mistake.

It is that the difference between Antarctica highest recorded temperature and this is 49.44.

So we have that x - (-34.44) = 49.44 instead of -34.44 - x = 49.44, which would lead to a highest temperature way lower than the one recorded in this winter.

Sooo

x - (-34.44) = 49.44

x + 34.44 = 49.44

x = 49.44 - 34.44

x = 15

Antarctica's highest recorded temperature was 15 degrees.

The scale factor is 1.5. The dilation rule is : (x,y)-------(.15x,1.5y)

Step-by-step explanation:

Dilation is a transformation that maps an object to an image of the same shape as the original object to form a different size image.When a larger image is produced it's called an enlargement where as when a small image is produced, it's called a reduction.

The rule of dilation, with center as the origin follows;

(x,y)------(sx,sy) where s is the scale factor. To find the scale factor, select one of the vertices of the object and of the image at divide the coordinate of image with that of object.

Taking O(2,16) and O'(3,24),  the scale factor will be;

s*2=3

2s=3

s=3/2 =1.5

or

s*16=24

16s=24

s=24/16=3/2=1.5

The scale factor is 1.5, hence the dilation rule is;

(x,y)-------(.15x,1.5y)

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Keywords: dilation, vertices, origin, scale factor, translation

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Answer:

(a) 24 cents.

(b) The slope is: [tex]24[/tex]

Step-by-step explanation:

(a) Notice that the x-axis is labeled as "Weight (ounces)" and the y-axis is labeled as "Cost (cents)".

You can identify that when:

[tex]x=1;y=24[/tex]

[tex]x=2;y=48[/tex]

[tex]x=3;y=72[/tex]

Then, you can determine that the cost of the cheese increases 24 cents for each ounce Dale buys.

(b) The slope can be found with the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

If you choose two points on the line, for example the points (0,0) and (2,48), and you substitute the corresponding coordinates into the formula, you get that the slope of the line is:

[tex]m=\frac{0-48}{0-2}\\\\m=24[/tex]

Building B offers more square feet per employee

Building B offers 2.2375 square feet more space for 1 employee than building A

Solution:

Building A has 7500 square feet of office space for 320 employee

Let us find the square feet needed for 1 employee

[tex]\text{ square feet needed for 1 employee } = \frac{7500 square feet}{320 employee}[/tex]

[tex]\text{ square feet needed for 1 employee } = \frac{7500}{320} = 23.4375[/tex]

Thus unit rate for building A is 23.4375 square feet per employee

Building B has 9500 square feet of office space for 370 employees

[tex]\text{ square feet needed for 1 employee } = \frac{9500}{370}\\\\\text{ square feet needed for 1 employee } = 25.675[/tex]

Thus unit rate for building B is 25.675 square feet per employee

On comparing the unit rate of both buildings, we can clearly see that Building B offers more square feet per employee

To find out how much more Building B offers more square feet per employee than building A, we can find difference between unit rates of both buildings

[tex]\rightarrow 25.675 - 23.4375 = 2.2375[/tex]

Thus Building B offers 2.2375 square feet more space for 1 employee than Building A

Final answer:

Building B offers 25.68 square feet per employee, which is 2.24 square feet more per employee than Building A, which offers 23.44 square feet per employee.

Explanation:

To determine which building offers more square feet per employee, we calculate the square footage per employee for each building:

Building A: «Building A has 7500 square feet of office space for 320 employees.

Building B: «Building B has 9500 square feet of office space for 370 employees.

Now we calculate the square footage per employee for both buildings:

For Building A: 7500 square feet / 320 employees = 23.44 square feet per employee.

For Building B: 9500 square feet / 370 employees = 25.68 square feet per employee.

Comparing the two, Building B offers more square footage per employee. To find out how much more:

25.68 - 23.44 = 2.24 square feet more per employee in Building B than Building A.

Answer:

Option 1) [tex]x=-2+i\sqrt{2}[/tex]

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2} +4x+6=0[/tex]  

so

[tex]a=1\\b=4\\c=6[/tex]                

substitute in the formula

[tex]x=\frac{-4\pm\sqrt{4^{2}-4(1)(6)}} {2(1)}[/tex]

[tex]x=\frac{-4\pm\sqrt{-8}} {2}[/tex]

Remember that

[tex]i=\sqrt{-1}[/tex]

so

[tex]x=\frac{-4\pm i\sqrt{8}} {2}[/tex]

[tex]x=\frac{-4\pm2i\sqrt{2}} {2}[/tex]

[tex]x=-2\pm i\sqrt{2}[/tex]

The solutions are

[tex]x=-2+i\sqrt{2}[/tex]

and

[tex]x=-2-i\sqrt{2}[/tex]

Answer:

217.6 mg of medicine

Step-by-step explanation:

13.6 kilograms in 30 pounds

13.6*16

(x,y)=(4,5)

c = 3x-y = 3(4) - 5 = 7

Answer: 7

Final answer:

The minimum value of the function c=3x-y at the vertex point (4,5) of the feasible region is 7.

Explanation:

The question provided by the student involves finding the minimum value of a function of two variables, given by c=3x-y, at a certain point in the feasible region. Since the minimum is achieved at the vertex point (4,5), we can directly substitute these values into the function to find the minimum value.

To calculate the minimum value of the function c=3x-y at the point (4,5), we substitute x=4 and y=5 into the equation:

c = 3×4 - 5

c = 12 - 5

c = 7

Therefore, the minimum value of the function is 7 at the vertex point (4,5).

Answer:

y=-2x-7

Step-by-step explanation:

y=-2x

y-y1=m(x-x1)

y-(-7)=-2(x-0)

y+7=-2(x)

y+7=-2x

y=-2x-7

Answer: [tex]f^{-1}[/tex] (x) = [tex]\frac{x+8}{9}[/tex]

Step-by-step explanation:

f(x) = 9x - 8 , to find the inverse of f(x) , replace f(x) with y , then the equation becomes

y = 9x - 8 , then make x , the subject of the formula ,

9x = y + 8

x = [tex]\frac{y+8}{9}[/tex]

Finally , replace x , with [tex]f^{-1}[/tex] (x) and y with x  , so we have

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+8}{9}[/tex]

Answer:

First answer at the top.

Step-by-step explanation:

Answer:

The Answer is in the picture above

plz Mark me brainliest answer

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Answer:

3/10 (see picture for work)

The area of a rectangle with side lengths of 6/8 meter and 4/10 meter is calculated by multiplying the lengths together after simplifying them to 3/4 and 2/5, respectively. The resulting area is 0.3 m².

To calculate the area of a rectangle, you multiply the length by the width. The question provides the side lengths as 6/8 meter and 4/10 meter. First, you may want to simplify these fractions to make multiplication easier. The fraction 6/8 simplifies to 3/4 after dividing both the numerator and the denominator by 2. The fraction 4/10 simplifies to 2/5 after dividing both the numerator and the denominator by 2.

Now, you multiply the simplified side lengths together to get the area:

Area = length × width
Area = (3/4) m × (2/5) m
Area = (3 × 2) / (4 × 5) [tex]m^2[/tex]
Area = 6 / 20 [tex]m^2[/tex]
Area = 3 / 10 [tex]m^2[/tex]
Area = 0.3 [tex]m^2[/tex]

The area of the rectangle is 0.3 [tex]m^2[/tex] (square meters).

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Answer:

-573q+74

Step-by-step explanation:

8(10-69q)+3(-7q-2)

80--552q-21q-6

80-573q-6

-573q+74

Answer:

the other guys i wrong completely the actual answer is −69q+74 i just did it and i am tring to help more people

Step-by-step explanation:

Answer:

We must pay back US$ 64,767.70 for the loan after 7 years.

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Loan amount = US$ 41,000

Duration of the loan = 7 years

Interest rate = 6.75% compounded annually

2. Let's find the future value of this loan after 7 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Loan = US$ 41,000

number of periods (n) = 7 (7 years compounded annually)

rate (r) = 6.75% = 0.0675

Replacing with the real values, we have:

FV = 41,000 * (1 + 0.0675) ⁷

FV = 41,000 * (1.0675) ⁷

FV = 41,000 * 1.5797

FV = US$ 64,767.70

We must pay back US$ 64,767.70 for the loan after 7 years.

Answer:

2x - 19

Step-by-step explanation:

"Twice a number x" means the (missing) number is called x. Write "2x" which means multiply "x" by 2.

"Minus 19" is -19.

Together, the expression is 2x - 19.

Answer:

y = 20

Step-by-step explanation:

Since AB and AC are congruent then the triangle is isosceles, thus

∠B = ∠C = 25°

To find ∠A subtract the sum of the 2 angles from 180°

∠A = 180° - (25 + 25)° = 180° - 50° = 130°, thus

3y + 70 = 130 ( subtract 70 from both sides )

3y = 60 ( divide both sides by 3 )

y = 20

Answer:

Option A. (-16,14)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

In this problem we have that

[tex]point\ Q(x1,y1)\\point\ A(x2,y2)[/tex]

[tex](-2,10)=(\frac{x1+12}{2},\frac{y1+6}{2})[/tex]

so

[tex]\frac{x1+12}{2}=-2[/tex] ---> [tex]x1=-4-12=-16[/tex]

[tex]\frac{y1+6}{2}=10[/tex] ---> [tex]y1=20-6=14[/tex]

therefore

The coordinates of point Q are (-16,14)

Answer:

65 and 66

Step-by-step explanation:

x + (x+1) = 131

2x + 1 = 131

2x = 131 - 1 = 130

x = 65

x + 1 = 66