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3 years ago

8

the two guy wires supporting a tower form an isosceles triangle with the ground. each of the base angles of the triangle is 4 ti

mes the third angle. find the measure of the vertex angle

1 answer:

user100 [1]3 years ago

3 0

Internal measure of a triangle is 180 degrees
base angles of an isosceles triangle are =
therefore each base angle is 4x
4x+4x+x=180
9x= 180
x=20
vertex angle= 20

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3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

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

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0

2 years ago

I tried this few times in yeah so i could not find it.

Step2247 [10]

Answer:

5 is the answer

Step-by-step explanation:

$\dfrac{ \left( 44+ { 9 }^{ 2 } \right) }{ { 5 }^{ 2 } }$

Calculate 9 to the power of 2 and get 81

$\dfrac{ 44+81 }{ { 5 }^{ 2 } }$

Add 44 and 81 to get 125

$\dfrac{ 125 }{ { 5 }^{ 2 } }$

Calculate 5 to the power of 2 and get 25

$\frac{125}{25}$

Divide 125 by 25 to get 5

$5$

7 0

3 years ago

Mrs. Eaton's dass is participating in the "Box Teps for Education campaign. On the first day, her

Katyanochek1 [597]

The number of tops on the 6th day based on the exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent $\rm y = a^x$

where a is a constant and a>1

First day class collected = 2 tops

Third day class collected = 8 tops

The exponential function can be modelled:

$\rm D(N) = 2^N$

D(1) = 2 (first day)

D(3) = 8 (third day)

D(6) = 64 (sixth day)

The linear function can be modeled:

D(N) = 3N -1

D(1) = 2 (first day)

D(3) = 8 (third day)

D(6) = 17 (sixth day)

Thus, the number of tops on 6th day based on exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

Learn more about the exponential function here:

brainly.com/question/11487261

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2 years ago

What number has a prime factorization of 2x 5^2

andrew11 [14]

Use math-way it will give u all the answers u need

8 0

3 years ago

Read 2 more answers

Name the place value to which each number was rounded 0.982to 0.98

Kryger [21]

The Hundredths place because 2 is in the thousandths place. 5 or more change the score, 4 or less let it rest. 8 remained the same because 2 is less than 4.

8 0

3 years ago