Answer:
16 1/8 is the missing side.
Answer:
6 1/8
Step-by-step explanation:
You add the sides to find perimeter
The equation of line 1 is 3x−2y=5, and the equation of line 2 is x+2y=7. What is the point of intersection of the two lines?
A. (3,2)
B. (2,3)
C. (5,5)
D. (5,1)
Answer:
(3, 2)
Step-by-step explanation:
This is a system of equations so I'll solve it using the 'Addition method'.
3x - 2y = 5 | x + 2y = 7
Add the two equations together to get:
4x = 12
x = 3
Then we solve for y using the 2nd expression because it's easier.
3 + 2y = 7
2y = 4
y = 2
The point of intersection of the two lines 3x-2y=5 and x+2y=7 is found to be (3,2) by solving the system of equations simultaneously, making option A the correct answer.
To find the point of intersection of the two lines represented by the equations 3x−2y=5, and x+2y=7, we need to solve these equations together. This involves finding a common solution for x and y that satisfies both equations simultaneously.
Steps to Find the Intersection
Rewrite each equation in standard form if necessary. The equations are already in standard form.Solve one of the equations for one of the variables. Let’s solve the second equation for x: x = 7 - 2y.Substitute the expression for x from step 2 into the first equation: 3(7 - 2y) - 2y = 5.Simplify and solve for y: 21 - 6y - 2y = 5, which simplifies to -8y = -16. Solving for y gives y = 2.Substitute the value of y back into one of the original equations to solve for x. Using the second equation: x + 2(2) = 7, simplifying gives x = 3.Therefore, the point of intersection of the two lines is (3,2), which corresponds to option A.
11) a - 15 >-40-6 + 3a)
Answer:
a < [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Given
a - 15 > - 40 - 6 + 3a ← simplify right side
a - 15 > - 46 + 3a ( subtract a from both sides )
- 15 > - 46 + 2a ( add 46 to both sides )
31 > 2a ( divide both sides by 2 )
[tex]\frac{31}{2}[/tex] > a ⇒ a < [tex]\frac{31}{2}[/tex]
Having a hard time with this one.
answer for this question is 1/16
Help! This one right here I didn’t learn please
For this case we have to define trigonometric properties of rectangular triangles that, the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. So:
[tex]Sin (53) = \frac {x} {10}[/tex]
We clear x:
[tex]x = 10 * without (53)\\x = 10 * 0.79863551\\x = 7,986,351[/tex]
Rounding:
[tex]x = 8[/tex]
ANswer:
8.0
Answer:
x could be the opposite or adjacent side ( sin or cos ) but it will still give you the same answer
Step-by-step explanation:
sin Ф = opp/hyp
sin 53 = x/10
10 sin 53 = x
x = 7.99
cos Ф = adj/hyp
cos 37 = x/10
10 cos 37 = x
x = 7.99
Please answer prob 24
A i think
its basically x>15
x is amount needed right
Answer: The correct answer would be D. , And A can not the answer because that answer choice represents the absolute value because of the 2 lines around 15 . Hope this clarifys everything.
Step-by-step explanation:
Because in the problem it says " more than 15 assignments" so we would put the more than or equal sign. So the more than or equal to 15 assignments. Therefor, D, represents the situations.
* Hopefully this helps:) Mark me the brainliest :)
∞ 234483279c20∞
Factor 6x^4 - 5x^2 + 12x^2 - 10 by grouping. What is the resulting expression?
Answer:
[tex](6x^2 -5) (x^2 +2 )[/tex]
Step-by-step-explanation:
We are given the following expression and we are to factorize it by grouping:
[tex]6x^4 - 5x^2 + 12x^2 - 10[/tex]
We will group the first two terms and the last two terms to get:
[tex](6x^4 - 5x^2) + (12x^2 - 10)[/tex]
For the first group we need to factor out x^2 and for the second group we will factor out 2.
[tex]x^2(6x^2 - 5) + 2(6x^2 - 5) [/tex]
[tex](6x^2 -5) (x^2 +2 )[/tex]
The manger of a large store notices that there are 72 customers waiting to be check out, spread across 9 different check-out lines. Select all of the scenarios that would be proportional to what the manger saw.
72 divided by 9 = 8
Hope I helped
Plz help me with this
Answer: [tex]\bold{B)\quad y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]
Step-by-step explanation:
A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.
[tex]y=4cos\bigg(\dfrac{3}{2}x + \dfrac{\pi}{6}\bigg)\qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{\pi}{6}+\dfrac{\pi}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{4\pi}{6}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]
Select the correct answer.
To prepare for a triathlon, Amanda starts from position A and rides her bike along a straight road for 12 miles to reach position B. At B, she turns left and rides along another straight road for 15 miles to reach position C. At C, she turns left again and rides 20 miles along a straight road to return to A. In , what are m∠A, m∠B, and m∠C, respectively?
A.
48.35°, 94.94°, 36.71°
B.
35.41°, 67.87°, 76.72°
C.
51.05°, 70.66°, 58.29°
D.
15.97°, 81.89°, 82.14°
Answer:
A. 48.35°, 94.94°, 36.71°
Step-by-step explanation:
Given,
ABC is a triangle,
In which AB = 12 miles, BC = 15 miles and AC = 20 miles,
By the cosine law,
[tex]BC^2 = AC^2 +AB^2 -2\times AC\times AB\times cos A[/tex]
[tex]2(AC)(AB)cos A=AC^2+AB^2-BC^2[/tex]
[tex]\implies cos A = \frac{AC^2+AB^2-BC^2}{2(AC)(AB)}----(1)[/tex]
Similarly,
[tex]cos B = \frac{BC^2+AB^2-AC^2}{2(BC)(AB)}----(2)[/tex]
[tex]cos C = \frac{BC^2+AC^2-AB^2}{2(AC)(BC)}----(3)[/tex]
By substituting the values in equation (1),
[tex]cos A=\frac{20^2+12^2-15^2}{2(20(12)}=0.66458[/tex]
[tex]\implies m\angle A\approx 48.35^{\circ}[/tex]
Similarly, from equation (2) and (3),
[tex]m\angle B\approx 94.94^{\circ}[/tex]
[tex]m\angle C\approx 36.71^{\circ}[/tex]
Hence, Option 'A' is correct.
(3x + 3)(x − 5)
I’m confused please help me!
3x^2 - 15x + 3x - 15
3x^2 - 12x -15
Answer: =3 x 2 − 12x −15
Step-by-step explanation:
=(3x + 3)(x+−5)
=(3x)(x) + (3x)(−5)+(3)(x)+(3)(−5)
=3x2 − 15x+ 3x − 15
Therefor, the answer is = 3x 2 − 12x − 15
* hopefully this helps:) Mark me the brainliest:)!!!
The answer to the first question.
Answer:?
Step-by-step explanation: what am I exactly reading it would better help if you typed it.
Answer:
see explanation
Step-by-step explanation:
Given
5x² - 4 - 8x
To find the zeros equate to zero and rearrange into standard form, that is
5x² - 8x - 4 = 0 ← in standard form
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 4 = - 20 and sum = - 8
The factors are - 10 and + 2
Use these factors to split the x- term
5x² - 10x + 2x - 4 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 2(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x + 2) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = - [tex]\frac{2}{5}[/tex]
-----------------------------------------------------------------------------
The sum of the zeros = - [tex]\frac{b}{a}[/tex]
The product of the zeros = [tex]\frac{c}{a}[/tex]
with a = 5, b = - 8 and c = - 4
The sum = 2 - [tex]\frac{2}{5}[/tex] = [tex]\frac{8}{5}[/tex]
and - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{5}[/tex] = [tex]\frac{8}{5}[/tex]
Thus verified
The product = 2 × - [tex]\frac{2}{5}[/tex] = - [tex]\frac{4}{5}[/tex]
and [tex]\frac{c}{a}[/tex] = [tex]\frac{-4}{5}[/tex] = - [tex]\frac{4}{5}[/tex]
Thus verified
The students at Strawberry Lakes High were complaining that the $0.99 bags of chips from the vending machine are mostly air. The bags are 6.0 inches, by 1.0 inch, by 4.5 inches Eric put a ruler inside the bag before eating any chips and measured that there were 2.7 inches of chips a.) What is the percent of air in the bag? What is the cost per ounce of chips? ( 1 oz. = 8.1 cm^3)
Answer:
3.3 inches of air in the bag.
I don't know how to get the second part. Hope this helps! :)
Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)
do you have a picture
What is the slope of the line described by the data in the table below?
A 2/5
B 2/3
C 5/4
D 5/2
Answer:
D
Step-by-step explanation:
General Equation: y = mx + b
You need two pieces of data to solve this.
When x = 1, y = 8
8 = 1x + b
When x = -1, y = 3
3 = - x + b
==================
8 = x + b
3 = -x + b If we add we get b so let's add.
11 =2b Divide by 2
11/2 = b
==================
y = mx + b
y = mx + 11/2 Now we can solve for m
3 = -m + 11/2 Subtract 11/2
3 - 11/2 = - m
- 2 1/2 = -m multiply by - 1
2 1/2 = m
m = 5/2
The answer is D
The answer to the problem is C
Which is the range of the function f(x) = 1/7 (9)x
It looks incomplete, but all linear functions are going to have *ALL REAL NUMBERS*.
Find equation of the line
Answer:
4, 1
Step-by-step explanation:
The equation of the given line in slope-intercept form, y = 4x + 1.
What is the Equation of a Line?If a line has a slope of m, and a y-intercept of b, the equation of the line in slope-intercept form is y = mx + b.
The slope of the line = rise/run = 8/2
Slope (m) = 4
The y-intercept (b) = 1
Substitute m = 4 and b = 1 into y = mx + b
y = 4x + 1
The equation is y = 4x + 1
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Which situation is represented by the inequality?
5.00 + 1.00r ≤ 16.00
A) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $1.00, and each ride costs an additional $5.00. What is r, the minimum number of rides he can go on?
B) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the minimum number of rides he can go on?
C) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $1.00, and each ride costs an additional $5.00. What is r, the maximum number of rides he can go on?
D) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?
Answer:
Option D. The maximum number of rides is 11
Step-by-step explanation:
Let
r -----> the number of rides
we have
[tex]5.00+1.00r \leq 16.00[/tex]
Solve for r
[tex]1.00r \leq 16.00-5.00[/tex]
[tex]1.00r \leq 11.00[/tex]
[tex]r \leq 11.00[/tex]
The maximum number of rides is 11
therefore
Tom can spend at most $16.00 at the carnival
The price of admission to the carnival is $5.00
Each ride costs an additional $1.00
The maximum number of rides is 11
Answer:
The answer is D
Step-by-step explanation:
Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?
A coffee shop has booths and counter seating. Each booth can
seat 4 people. Another 20 people can sit at the counter. Which
expression shows how many customers can be seated in the coffee
shop?
A) 200 – 4 B) 200 14 C) Ab-20 D) 4b + 20
Answer:
d
Step-by-step explanation:
4 times the number of booths and 20 people.
Please help me! 20 points!
A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.
What is the density of the block?
_______ kg/m³
Answer:
We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.
The density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.
What is the density of the block?
Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given the data in the question;
Mass of the cube wood block m = 18.954kgside length a = 0.3mDensity p = ?First, we calculate the volume of the cube wood block.
Volume of a cube v = a³
v = ( 0.3m )³
v = 0.027m³
Now, we determine the density.
p = m / v
p = 18.954kg / 0.027m³
p = 702kg/m³
Therefore, the density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.
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what is one half times negative 2
Answer:
the answer is -3 ihope your happy
Step-by-step explanation:
Answer:
the answer is -1
Step-by-step explanation:
o.5 x -2= -1
What is the angle measure of D?
52°
56°
74°
102°
Answer:
52°
Step-by-step explanation:
<D = 360 - (78+106 + 124)
<D = 360 - 308
<D = 52°
Answer:
52
Step-by-step explanation:
<106+ 78+ 124>= 308
360-308=52
HOPE THIS HELPS!!!
A manufacturer makes candles in the shape of right circular cylinders and right circular cones. Part A) One candle, in the shape of a cylinder, has a height of 7.5 inches and a diameter of 5 inches. What is the volume of the candle? round all answers to the nearest inch
Answer:
The volume of the candle is [tex]147\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder (candle) is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=5/2=2.5\ in[/tex] ----> the radius is half the diameter
[tex]h=7.5\ in[/tex]
substitute
[tex]V=\pi (2.5)^{2} (7.5)[/tex]
[tex]V=46.875\p\ in^{3}[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]V=46.875(3.14)=147\ in^{3}[/tex]
Find the surface area of the square pyramid. Round your answer to the nearest hundredth
Answer:
175.415
Step-by-step explanation:
surface area of square pyramid is given by:
Area= s^2 + 2(s)(l)
where s is the base and l is the slant height
in given problem, slant height l is not given, so by using Pythagoras theorem finding l:
c^2= a^2 + b^2
= 8^2 + 4^2
= 48.49
c = 6.96348
Now putting values of s=8 and l= 6.96 in first formula
Area= 8^2 + 2(8)(6.96)
= 64 + 111.41
= 175.415
!
The length of a rectangle is the width minus 5 units. The area of the rectangle is 36 units. What is the width, in units, of the rectangle
Answer:
The width of the rectangle is [tex]9\ units[/tex]
Step-by-step explanation:
Let
x----> the length of rectangle
y----> the width of rectangle
we know that
The area of rectangle is equal to
[tex]A=xy[/tex]
[tex]A=36\ units^{2}[/tex]
so
[tex]36=xy[/tex] ------> equation A
[tex]x=y-5[/tex] -----> equation B
substitute equation B in equation A and solve for y
[tex]36=(y-5)y[/tex]
[tex]y^{2}-5y-36=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]y=9\ units[/tex]
see the attached figure
therefore
The width of the rectangle is [tex]9\ units[/tex]
Answer: 9 units.
Step-by-step explanation:
Let x be the width of the rectangle .
Then, the length would be x-5.
Area of rectangle = Length x Breadth
[tex]=(x-5)x=x^2-5x[/tex]
Since , The area of the rectangle is 36 units.
[tex]\Rightarrow\ x^2-5x=36\\\\\Rightarrow\ x^2-5x-36=0\\\\\Rightarrow\ x^2-9x+4x-36=0\\\\\Rigtarrow\ x(x-9)+4(x-9)=0\\\\\Rightarrow\ (x-9)(x+4)=0\\\\\Rightarrow\ x=9 , -4[/tex]
But width cannot be negative , so width = x= 9 units
Hence, the width of the rectangle = 9 units.
A student has three puzzles each puzzle has 1250 pieces what is the total number of pieces in the puzzle’s
The total number of pieces in the puzzle’s is 3,750 pieces.
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.
we have,
3 puzzle having 1250 pieces in each.
So, the total number of pieces are
= 1250 x 3
= 3,750 pieces
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Billy will earn $8 per hour and work 12 hours per week how much will he earn in one week
Answer:
The answer is simple. If there is $8 an hour and works for 12 hours, just multiply 8 by 12, which is 96. He will earn $96 in a week
Step-by-step explanation:
He make $8 per hour.
He works a total of 12 hour in one week.
12 hours • $8 = $96
He makes $96 in one week.
use a percent proportion or equation to answer: 150% of what number is 24
Answer is 36
150 • 24= 3,600
3,600/100= 36
Can anyone help me please
Answer:
$35.64
Step-by-step explanation:
$5.78 + $19.87 + $24.99 = $50.64
$50.64 - $15 = $35.64
Answer:
35.64
Step-by-step explanation:
24.99 + 19.87 + 5.78 = 50.64
50.64 - 15= 35.64
Hannah measured the length, width, and height of her microwave in order to determine if it would fit in the space above her stove. Her measurements are shown below.
What is the volume of the microwave?
A. 1 9/16 cu ft.
B. 1 11/12 cu ft.
C. 1 3/4 cu ft.
D. 3 2/3 cu ft
Answer:
the answer is A. 1 9/16 cubic feet
Step-by-step explanation:
V = lwh
V = (5/3 ft) (5/4 ft) (3/4 ft)
V = 75/48 cu. ft.
V = 25/16 cu. ft.
V = 1 9/16 cu. ft
19)
Solve the quadratic equation x2 − 18x + 81 = 64 for x.
A)
x = 17 or x = 1
B)
x = 11 or x = −5
C)
x = 9 or x = −8
D)
x = 2 or x = 9
Answer:
{1, 17}
Step-by-step explanation:
x2 − 18x + 81 = 64 can be rewritten as x² - 18x + 81 = 64.
Next, x² - 18x + 81 can be rewritten as (x - 9)²
so that we now have:
(x - 9)² = 64.
Taking the sqrt of both sides, we get
x - 9 = ± 8
Then one root is x = 9 + 8 = 17, and the other is x = 9 - 8 = 1.
{1, 17} is the set of roots
Answer:
A.) x=17 or x=1
Step-by-step explanation: