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3 years ago

15

A 15-foot ladder must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 20-foot ladder

make with the ground to reach the same window?
a. 22 degrees
b. 38 degrees
c. 42 degrees
d. 48 degrees

1 answer:

Tju [1.3M]3 years ago

3 0

The answer is A) 22. Not 48.

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FIND THE VOLUME STEP BY STEP

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Answer:

396 $ft^{3}$

Step-by-step explanation:

Okay, so first we will find the triangle area.

9 * 8 = 72/2 = 36.

Now multiply this by 11 (the width of the prism)

36 * 11 = 396 $ft^{3}$

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3 years ago

Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0

Debora [2.8K]

So, the definite integral $\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74$

Given that

$\int\limits^1_0 {x^{2} } \, dx = 13$

We find

$\int\limits^1_0 {(4 - 6x^{2} )} \, dx$

<h3>Definite integrals </h3>

Definite integrals are integral values that are obtained by integrating a function between two values.

So, $Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx$

So, $\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx$

Since

$\int\limits^1_0 {x^{2} } \, dx = 13$ ,

Substituting this into the equation the equation, we have

$\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74$

So, $\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74$

Learn more about definite integrals here:

brainly.com/question/17074932

4 0

2 years ago

Ok so I’m the answer but how do I get to that answer can someone please help me I am desperate

Svet_ta [14]

X + (x + 10) = 154
2 x + 10 = 154
2 x = 154-10 = 144
x = 72 (ans)
Not sure if it’s right

7 0

3 years ago

What properties does a square have in common with a quadrilateral?

Mashcka [7]

Hey there

<span>Quadrilateral "four sided shape"</span>
A Quadrilateral has four-sides and<span> it is </span>2-dimensional shape
Squares and quadrilaterals have
4 sides
4 vertices

Hope this helps

6 0

3 years ago

Read 2 more answers