Write an equation for line L in mpoint-slope form and slope-intercept form.
L is perpendicular to y = 5x.

Answer:

Percent of people satisfied with the​ car  = 70%

Step-by-step explanation:

Given:

Total number of people survey = 1,400

Number of people satisfied with the​ car = 980

Find:

Percent of people satisfied with the​ car

Computation:

Percent of people satisfied with the​ car  = [Number of people satisfied with the​ car / Total number of people survey]100

Percent of people satisfied with the​ car  = [980 / 1400]100

Percent of people satisfied with the​ car  = 70%

Answer:

800 Kwh

Step-by-step explanation:

To solve this problem, we need to find the difference in energy saved and then multiply by the cost of 1kWh of electricity

Let's first of all calculate the the difference in energy saved

Data;

[tex]1200 - 400 = 800kWh[/tex]

Maggie would've saved 800kWh in one year.

But since we were not given a standard cost of electricity, we would assume that 1kWh will cost $1.

So, to determine how much she must've saved, we simply multiply $1 by 800kWh

[tex]1 * 800 = $800[/tex]

Using our assumptions, she would've saved $800 in one year.

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Answer: 1/2

Step-by-step explanation:

f(Ф) = 2sin(Ф) - cos(2Ф)

f(pi/6) = 2sin(pi/6) - cos(pi/3)

Use the pi circle or a calculator

f(pi/6) = 2(1/2) - 1/2 = 1/2

Answer:

when it asks for an expression it means an equation

ex.) 2x+3 =5

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.

Material 2 (blue curve) shows the highest profit.

Material 3 (green curve) shows a profit over the widest range of prices.

Answer:B

Step-by-step explanation

The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data in the table is,

Altitude(x)       Boiling point (y)

0                      212.0

500                 211.1

The slope will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 211.1 - 212  ) / (500 - 0 )

Slope = -0.0018

The y-intercept will be calculated as,

y = mx + c

212 = 0 + c

c = 212

Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.

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Answer:

x = 34.85

Step-by-step explanation:

Apply trigonometric ratio formula to find x

Reference angle = x

Side opposite to x = 4

Hypotenuse = 7

Therefore,

Sin x = opp/hyp = 4/7

x = sin-¹(4/7)

x = 34.85° (nearest hundredth)

Answer:

True

Step-by-step explanation:

Answer:

528

Step-by-step explanation:

Surface area of bottom block + Surface area of top block - 2(Shared surface area)

Bottom block: 2(10*12) + 2(5*12) + 2(5*10) = 240 + 120 + 100 = 460 square inches

Top block: 2(2*2) + 4(2*8) = 8 + 64 = 72 square inches

Shared surface area = 2*2 = 4 square inches

Plugging into our formula:

460 + 72 - 4 = 528 square inches

Answer:

Step-by-step explanation:

only y=2x+4 has the same slope as y=2x-4

slope=2

Answer:

The virtical angle theorem is that virtical angles are congruent, or equal. A vertical angle is like the angles in an X.  The opposite angles are congruent, like in the picture, it is the unknown angle and the angle touching it.

Answer:

20 is the answer

Step-by-step explanation:

48-28=20

Answer:

1. 12r= 2

2. 60r - 4= 6

3. 3r power of 2= 1/12

Step-by-step explanation:

1. 12r = 12* 1/6= 12/6= 2

2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6

3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12

or

(3*1/6) power of 2= (1/2) power of 2= 1/4

Answer:

3+11a=80

Step-by-step explanation:

3+11a=80

11a=77

a=7

Answer:

It's 180-( 110+20)

=180-130

=50 degrees, hope it helps

Answer:

83% of 91 = 75.53

Answer:

1. x=2

2. x= 0.33

Step-by-step explanation:

1.So to start off you have a coefficient for 2 so you have to find what 2 to the power of 2 is =4 so then you have your new problem 4x+5=13 next you need to get 4x by itself so

-5 -5

then you have 4x=8. you divide by 4 on both sides

4. 4

so then you get x=2

2.So same here find what 3 to the power of 2 is =9

New equation 4x-1=9x+4x-4. Then combine like terms on the right you cant do it on the left because that is a separate part and those dont merge like terms so

9x+4x = 13x

new equation. 4x-1=13x-4

next subtract 4x on both sides

13x-4x=9x

new equation. -1=9x-4

next add 4 to both sides

-1+4= 3

new equation. 3=9x

so then divide 9 on both sides

3÷9= 0.33

x= 0.33

Hope this made sense and helps

Answer:

PR= 8

ST=5

Step-by-step explanation:

PQ and PR are congruent so

2x=8

x=4

2*4=8

PR=8

ST and TU are congruent so

5z=2z+3

3z=3

z=1

5*1=5

ST=5

Answer:

PR=8

ST=5

Step-by-step explanation:

PR

QS=SR (marked)

a²=b²+c² (TRIANGLE PQS)

PQ²=PS²+QS²

8²=PS²+SR² (PQ=8, QS=SR)

64=PS²+SR²

a²=b²+c² (TRIANGLE PRS)

PR²=PS²+SR²

(2x)²=64

2x=8

x=4

PR=2x=2(4)=8

ST

a²=b²+c² (TRIANGLE VUT)

VT²=TU²+UV²

VT²=(2z+3)²+UV²

VT²=4z²+12z+9+UV²

a²=b²+c² (TRIANGLE VST)

VT²=VS²+ST²

VT²=VS²+25z²

4z²+12z+9+UV²=VS²+25z²

21z²-12z-9=0

7z²-4-3=0

(7z+3)(z-1)=0

z=-3/7 or z=1

cant be neg, z=1

ST=5(1)=5

Answer:

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

copied from,

www.bbc.co.uk › guides › revision

Hope this helped

Hope this helpedALL THE BEST !!

Answer:

A

Step-by-step explanation:

Answer:

C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.

Step-by-step explanation:

On which triangle can the law of cosines be applied once to find an unknown angle measure?

The Law of cosines is given as:

a² = b² + c² - 2bccos(A)

From the options given above, the correct option is Option C

C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.

This is because:

Law of Cosines helps us to find an unknown side of a triangle when we are given 2 known sides and 1 angle.

In the above question, we are given angle 76 degree, and the length of two sides: The length of X Y is 5, the length of W Y is 10

The unknown side is the length of W X which is represented as y.

Hence, Option C is the correct option.

Answer:

D

Step-by-step explanation:

I got it right on my program.

Answer:

74  

Step-by-step explanation:

The measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

In the triangle FGH the measure of the line segment f is 60 centimeter, the measure of the line segment g is 10 cm and the measure of the line segment h is 62 centimeters.

The measure of the angle ∠F has to be find out. To find the value of angle F where side f is 60 cm. Thus, put the values of the all the sides in the above formula as,

[tex]60^2=10^2+62^2-2(10)(62)\cos (F)\\3600=100+3844-1240\cos (F)\\ F=\cos^{-1}(0.27742)\\F\cong74^o[/tex]

Hence, the measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.

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Answer:

[tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins

Step-by-step explanation:

The computation is shown below:

Nuts used [tex]= 5 \frac{1}{3} = \frac{16}{3}[/tex]

Raisins used [tex]= 2 \frac{3}{4} = \frac{11}{4}[/tex]

Now the difference between them is

[tex]= \frac{16}{3} - \frac{11}{4}\\\\= \frac{64 - 33}{12} \\\\= \frac{31}{12}[/tex]

Hence, [tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins

answer 143.00 Step-by-step explanation:

Answer:

I think that it is 8 inches

Step-by-step explanation:

I multiplied 10 times 12 because there is 12 inches in a foot. Then I divided 120 by 8.

I hope this is right

Answer:

(12)3=36

Step-by-step explanation:

i don't know.. I think this is what the question is trying to say XD

Answer:

(12)3=36

Step-by-step explanation:

Answer:

15.7

Step-by-step explanation:

use a calculator lol

62.8 divided by 4 would equal 15.7

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "62.8" was replaced by "(628/10)".

STEP

1

:

           314

Simplify   ———

            5

Equation at the end of step

1

:

 314

 ——— ÷ 4

  5

STEP

2

:

        314      

Divide  ———  by  4

         5      

Final result :

 157            

 ——— = 15.70000

 10