All categories

3 years ago

Find the measure of each side indicated. Round to the nearest tenth.

Mathematics

2 answers:

Svet_ta [14]3 years ago

5 0

Answer:

$\huge\boxed{x = 25.3}$

Step-by-step explanation:

Tan θ = opposite / adjacent

Where θ = 66.5 , opposite = x and adjacent = 11

Tan 66.5 = x / 11

2.3 * 11 = x

25.3 = x

x = 25.3

mihalych1998 [28]3 years ago

4 0

Answer:

D. 25.3

Step-by-step explanation:

tan∅ = opposite over adjacent

Step 1: Write equation

tan66.5° = x/11

Step 2: Multiply both sides by 11

11tan66.5° = x

Step 3: Evaluate

x = 25.2983

x ≈ 25.3

You might be interested in

What is 5.48 million in scientific notation?

Amanda [17]

5,480,000 = 5.48 x 10^6

8 0

3 years ago

Read 2 more answers

Which expression shows a decimal equivalent to the fraction 13/32? Show work A. 0.41 B. 0.406 C. 0.40625 D. 0.4625

lina2011 [118]

Answer:

[C] 0.40625

Explanation:

To turn a fraction into a decimal, divide the numerator by the denominator.

13 ÷ 32 = 0.40625

Your answer is [C] 0.40625

3 0

3 years ago

When plotted on a grid, the paths between four neighborhood houses form the shape of a kite as shown.

KatRina [158]

Answer:

The area of the figure is 1,000 square feet

Step-by-step explanation:

we know that

The area of the kite ABCD

is equal to

$A=\frac{1}{2}[AC*BD]$

where

AC and BD are the diagonals of the kite

we have

$BD=50\ ft\\AC=40\ ft$

substitute

$A=\frac{1}{2}[40*50]=1,000\ ft^2$

3 0

3 years ago

Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago

Plz help

yKpoI14uk [10]

Answer:

1. A point you can't move at all, a line you can only move back and forth in the same direction. Yes it is accurate for its characteristics because points and lines have no set definition for them

2. When you are on a point you can not travel at all in any direction while staying on that point. That means you have zero options to travel in. That is why it is said you have zero dimensions.

3. Normal space refers 3 dimensional space that extends beyond the three dimensions of length, width, and height.

4. If you can move backward, forwards, up and down in two different directions it is considered two dimensional. The two dimensional figure is considered a plane. For example, if you took a piece of paper that extended forever in every direction, that in a geometric a sense, is a plane. The piece of paper itself is itself, finite, and you could call the piece of paper a plane segment because it is a segment of an entire plane.

8 0

3 years ago