Peter represents the living room and kitchen of his house using the scale model shown below. One inch in the scale model corresponds to a
length of 10 feet in the actual room.
3 in
Living Room
Narrow Section
Kitchen
15 in
-2 in
What are the dimensions of the actual kitchen?

Answer:

y = -4x + -3

Step-by-step explanation:

We know the slope-intercept form is y = mx + b, and m is the slope of the line, and b is the y-intercept. To find the slope, we need to divide the difference of the y coordinates by the difference of the x coordinates. We already have the slope listed there which is very helpful, so now all we need to do is find the y-intercept (where the line goes through the y axis). If we count the lines on the y axis starting from the origin and going downwards, we see that the line passes through at (0,-3), so the y-intercept is -3. Now we replace the variables with the correct numbers, and the answer would be y = -4x + -3. I hope this helped!! :]

Answer:

V = 7385.28

Step-by-step explanation:

Formula of the volume of a cylinder: V = pi*r^2*h

Since you are told to replace pi with 3.14, now plug in the numbers that you are given into the formula...

V = (3.14)(14)^2*(12)

= 7385.28

Notes: Remember you always have to divide your radius in half if it gives you a diameter, BUT since in this question it's given, you don't have to do any extra work :)

Answer:

646

Step-by-step explanation:

To solve this, you would need to know the volume of a sphere and volume of a cube.

Volume of a cube is L x W x H

8x8x8 which gives you 512

The volume of a sphere is [tex]\frac{4}{3} \pi (r)x^{3}[/tex]

(radius which is 8/2=4)  4/3 pi (4)^3=268.08

Because this is half a sphere, simply divide the volume by 2 and you should get 134.04.

512+134.04=646.04

=646 cm cubed

Step-by-step explanation:

[tex]y = \frac{1}{2} e^{x}[/tex]  equation is represented by the given graph.

"Graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

From the observation of the graph,

for x= 0

y- intercept = [tex]\frac{1}{2}[/tex]

a.  [tex]y = \frac{1}{8} e^{x}[/tex]

Substitute x = 0 in the equation we get,

[tex]y = \frac{1}{8} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{8}[/tex]

Therefore,

Option (a) is not the correct answer.

b. [tex]y = \frac{1}{2} e^{x}[/tex]

Substitute x = 0  in the equation we get,

[tex]y = \frac{1}{2} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{2}[/tex]

which is same as graph value.

Hence, Option (b) is  the correct answer.

Learn more about graph here

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Answer:

one equation is 37+109

Step-by-step explanation:

I hope this helps. I hope this is what you are looking for. I am sorry if it isn't.

Answer:

Cone Volume = (PI * radius^2 * height) / 3

Cone Volume = (PI * 2^2 * 9) / 3

Cone Volume = 113.0973355292 / 3

Cone Volume = 37.7 cubic inches

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

Answer:

1. Perpendicular

2. y=5x+7

Step-by-step explanation:

brainliest please?

Answer:

6y + 48

Step-by-step explanation:

Use distributive property 6 x y = 6y

(keep the plus sign btw)

6 x 8 = 48

then place it in order: 6y + 48 is your algebra expression

Answer:

6y + 48

Step-by-step explanation:

Distributive Property

6 * y = 6y + 8

Answer:

x = -2

Step-by-step explanation:

4(x+5)=12

Distribute.

4x+20=12

Subtract 20 from both sides.

4x+20-20=12-20

4x = -8

Divide both sides by 4.

4x/4 = -8/4

x = -2

Answer:

e,compound transformation

Step-by-step explanation:

Answer:

B is the correct answer!

Answer:

im thinking B

Step-by-step explanation:

Answer:

m = 3/4

Hope that helps!

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Answer: 84 degrees

Step-by-step explanation: I'm not quite sure how to explain this problem, sadly, but you basically add up the degrees together in the big triangle all together, and then figure out the rest.

Answer: - 2squart2/3

Step-by-step explanation:

x^ 2 + y ^ 2 = 1

x ^ 2 + (1/3) ^ 2 = 1 ^ 2

The value of x in simplest form is 2√2/3 units.

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

Given that, the point P= (x, 1/3) lies on the unit circle

x²+ y²= 1

x²+ (1/3)²= 1²

x²+1/9=1

x²=1-1/9

x=√8/9

x=2√2/3

Therefore, the value of x in simplest form is 2√2/3 units.

To learn more about an equation of a circle visit:

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Given:

The two points are C(3,-5) and D(7,9).

To find:

The midpoint M of the given points.

Solution:

We know that,

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of C(3,-5) and D(7,9) is

[tex]M=\left(\dfrac{3+7}{2},\dfrac{-5+9}{2}\right)[/tex]

[tex]M=\left(\dfrac{10}{2},\dfrac{4}{2}\right)[/tex]

[tex]M=\left(5,2\right)[/tex]

Therefore, the midpoint M of two points C(3,-5) and D(7,9) is (5,2).

Answer:36.48

Step-by-step explanation:

Answer:

72+35=107cm^2

Step-by-step explanation:

(8*9)+(5*7)=107

Answer:

107

Step-by-step explanation:

The answer would be 107

For the first figure the dimensions of the rectangle is 9 and 8

9x8=72

for the second figure the dimensions are 7 and 5

7x5=35

now we just add them together

35+72=107

therefore 107 is your answer

Answer:

let ratio be 5x,7x and 13x

we have

5x+7x+13x=180 sum of interior angle of the triangle is 180°

25x=180

x=180/25=36/5

Step-by-step explanation:

missing Angle are

5x=5×36/5=36°

7x=7×36/5=50.4°

13x=13×36/5=93.6°

Question:

What is the value of c in the equation below?

[tex]2^{-4}*2^2 = a^b = c[/tex]

A. -4     B. -2     C. 1/64     D. 1/4

Answer:

[tex]c = \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]2^{-4}*2^2 = a^b = c[/tex]

Required

Find c

The equation can be rewritten as:

[tex]c = 2^{-4}*2^2[/tex]

[tex]c = a^b[/tex]

Solving: [tex]c = 2^{-4}*2^2[/tex]

Apply law of indices

[tex]c = 2^{-4+2}[/tex]

[tex]c = 2^{-2}[/tex]

Apply law of indices

[tex]c = \frac{1}{2^2}[/tex]

[tex]c = \frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

1/4

Answer:

dates

Step-by-step explanation:

bestie it is dates i am sure of it.

Answer:

M + 11.7

Step-by-step explanation:

Answer:

m+11.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

h≈2.86

Answer:

Volume:75 Radius:5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

17x is a coefficient

y is a variale

12 is a constant

w is a variable

and 3x is a coefficient

Answer:

with what

Step-by-step explanation:

ahhhhhhh..... .,.......

Answer:

14.42inches

Step-by-step explanation:

Given the following

b = 5 in

c = 8in

we are to find the measure of the space diagonal line

Using the pythagoras theoreml

l^2 = b^2 + c^2

l^2 = 13^2 - 5^2

l^2 = 169 -25

l^2 = 144

l = 12in

To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;

s^2 = l^2 + c^2

s^2 = 144 + 8^2

s^2 = 144 + 64

s^2 = 208

s= 14.42inches

Hence the required length ix 14.42inches