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2 years ago

Please help me with this soon much appreciated.

Mathematics

1 answer:

NeX [460]2 years ago

8 0

Answer:

1 : 2

Step-by-step explanation:

this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2

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SCC U of 1 pt 3 of 1 1.2.11 Assigned Media A rectangle has a width of 49 centimeters and a perimeter of 216 centimeters. V The l

Sergeu [11.5K]

Answer:

The length is of 59 cm.

Step-by-step explanation:

Perimeter of a rectangle:

The perimeter of a rectangle with width w and length l is given by:

$P = 2(w + l)$

Width of 49 centimeters and a perimeter of 216 centimeters:

This means that $w = 49, P = 216$

The length is cm.

We have to solve the equation for l. So

$P = 2(w + l)$

$216 = 2(49 + l)$

$216 = 98 + 2l$

$2l = 118$

$l = \frac{118}{2}$

$l = 59$

The length is of 59 cm.

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2 years ago

Find the value of Sin^-1(tan π/4).

zvonat [6]

Answer:

Step-by-step explanation:

1. Remind that

$\tan \left(\dfrac{\pi }{4}\right)=1.$

Here you can use trigonometric table to find the value of $\tan\left(\dfrac{\pi}{4}\right)$ , or you can remind that $\dfrac{\pi}{4}=45^{\circ}$ and $\tan45^{\circ}=1$ because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.

2. Now

$\sin^{-1}\left(\tan\left(\dfrac{\pi}{4}\right)\right)=\sin^{-1}1=\dfrac{\pi}{2},$

because

$\sin\dfrac{\pi}{2}=1.$

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3 years ago

Can anyone please help me with my math homework!!!

Lena [83]

Number 8 is 24 hope I help please give me brainiest<span />

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3 years ago

A wall with a height of 20 feet is braced with a support post that forms a 30 degree angle with the top of the wall. What is the

dexar [7]

The length of the support post is 40 ft.

<u>Solution:</u>

Given, the height of the wall is 20 ft; support post forms 30 degree

Refer the attached image

Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and $\angle A$ is 30 degree ( $\theta$ ) and AC is the length of the post.

To find: The length of the post (AC)

we know the formula, $sin\theta=\frac{opp}{hyp}$ (trigonometric formula)

On substituting the values we get,

$\Rightarrow sin(30^{\circ})=\frac{20}{AC}$

The value of sin 30 degree is 0.5

$\Rightarrow 0.5=\frac{20}{AC}\rightarrow AC=\frac{20}{0.5}\rightarrow AC=40 ft$

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3 years ago

Four friends are trying to decide what kind of cake to order for a party: cheesecake, chocolate, or yellow. Everyone was asked t

Zepler [3.9K]

Step-by-step explanation:

I think chocolate fairness criterion has been violated because under the unknown voting method the winner was chocolate but upon calling the store they ordered for yellow cake not chocolate

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2 years ago