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3 years ago

7

A _____________________________ has a constant change in the x values and a constant ratio in the y values.

1 answer:

Charra [1.4K]3 years ago

3 0

Hamburgerrrrrrrrrrrrrrrrrr

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A 24-foot ladder leans against a building. The foot

romanna [79]

Answer:

73°

Step-by-step explanation:

Here we use trigonometry to find the angle. The building and the ground form a perpendicular angle, with the ladder acting as the hypotenuse, we get a right angle. We know the length of adjacent leg from the angle, and the length of the hypotenuse. In this case, we use cosine since cos = adjacent length/hypotenuse length. So cos x= 7/24. To isolate x, we use the inverse function of cos, cos^-1. Then x= cos^-1 (7/24) or 73°.

5 0

3 years ago

∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure

exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

so

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

so

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

3 years ago

Josh has a job to tile a room 16 ft x 18 ft with 1 ft. square tiles. How many tiles does he need?

Lena [83]

Answer:

288 tiles

Step-by-step explanation:

16×18= 288 so he needs 288 square tiles

7 0

2 years ago

Draw and classify the polygon with the given vertices. Find the perimeter and the area of the polygon. M(-2,5), N(3,-2), P(-2,-2

Nadusha1986 [10]

Answer:

<em>Perimeter = 20.6cm to 1dp = 20.60cm to 2dp</em>

<em>Area = Base = 8.6/2 = 4.3 x 4.069 = 17.5cm^2</em>

<em>Height is found 4.07 cos( 54.47deg) 5/8.6 = 4.069cm</em>

Step-by-step explanation:

<em>Right angle side triangle, sides </em>

<em>= MN =8.6cm </em>

<em>= NP=5cm </em>

<em>= PM=7cm </em>

<em>= 25sq + 49sq = 74sq</em>

<em>MN^2 =√74 = 8.60232526704 = 8.6cm</em>

<em>P = 8.6 + 5 + 7 = 20.6cm </em>

5 0

3 years ago

Read 2 more answers

Pic is there answer 20 points

artcher [175]

Answer:

(x+8)^2=0

Step-by-step explanation:

x^2+16x+64=0

8x8=64

8+8=16

Therefore, 8 fits

(x+8)^2=0

If this helps please mark as brainliest

6 0

2 years ago

Read 2 more answers