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3 years ago

Help please!!! I don’t understand this question

Mathematics

1 answer:

Elenna [48]3 years ago

8 0

Answer:

Step-by-step explanation:

Let us first write an equation. Using the SOHCAHTOA rule, we should know that the tangent of an angle equals it's $\frac{opposite}{adjacent}$ . The opposite of our given 20° angle is 9, and the adjacent side is x.

$tan(20$ ° $)=\frac{9}{x}$

$0.364=\frac{9}{x} \\x=\frac{9}{0.364}\\x=24.7$

C

I hope this helps! Let me know if you have any questions :)

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2 years ago

Parallelogram RSTU is rotated 180° clockwise

julia-pushkina [17]

Answer:

Two pairs of parallel sides

Step-by-step explanation:

The given transformation performed on parallelogram RSTU = 180° clockwise rotation

Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the the shape and size of the image R'S'T'U'

Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.

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3 years ago

A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i

lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.

Now, if we measure the shadow of the flagpole and the shadow of the person, at the same moment, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where $H$ is the height of the flagpole, $h=6 ft$ is the height of the person, $A=5 ft$ is the length of the shadow of the flagpole and $a=1\frac{1}{2}=1.5 ft$ is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

$\frac{H}{h}=\frac{A}{a}$ (1)

We know all these lengths except $H$ , which is the value we want to to find.

So, in order to approach this problem we have to find $H$ from equation (1):

$H=\frac{A}{a}h$

$H=\frac{5 ft}{1.5 ft}(6 ft)$

Then:

$H=20 ft$ >>>>>This is the height of the flagpole

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3 years ago

Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t

harina [27]

Answer:

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