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3 years ago

Genuinely confused, how would you solve this? (will mark for brainliest!!)

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

Answer:

Length of the bold sector: 40.3ft

Area of the bold sector: 282.08

Step-by-step explanation:

Finding the sector length: Assuming that pi=3.14, the diameter is 87.92 ft. The ratio of the bold section to the whole circumference is 165 to 360. So you need to multiply the circumference by the ratio. (87.92 x 165)/360=40.3

Finding the sector area: Assuming that pi=3.14, the area of the circle is 615.44 sq. ft. The ratio of the sector area to the area of the whole circle is 165:360. (615.44 x 165)/360=282.08, rounded to the nearest 100th.

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What is x2/3•x2/15 show your work

AveGali [126]

Answer:

$\large\boxed{x^\frac{4}{5}}$

Step-by-step explanation:

$x^\frac{2}{3}\cdot x^\frac{2}{15}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{\frac{2}{3}+\frac{2}{15}}\qquad\text{LDC = 15}\\\\=x^{\frac{2\cdot5}{3\cdot5}+\frac{2}{15}}=x^{\frac{10}{15}+\frac{2}{15}}=x^{\frac{12}{15}}=x^{\frac{12:3}{15:3}}=x^\frac{4}{5}$

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3 years ago

Desert Shores, California is located at an elevation that is below sea level. What is a possible elevation of Desert Shores, Cal

Burka [1]

Answer:

C) -- 200 ft.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can anyone pls help me I’m confused god bless u

nika2105 [10]

Step-by-step explanation:

The slope of the prependicular line is the negative reciporal of the original line's slope.

For slope 2/5

Slope of prependicular line is -5/2

hope this helped you understand it.

6 0

2 years ago

Read 2 more answers

A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using substitution.

bixtya [17]

Answer:

option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Given : A math class is having a discussion on how to determine if the expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.

We have to choose the correct method from the given options that the class has suggested.

Since we have to show the given expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.

We will choose a single value of x and then evaluate both the given expression at that single value and if the output of both expression comes out to be same then the two expressions must be equivalent.

For example lets take x = 2,

Then expression 4x - x + 5 becomes 4(2) - 2 +5 = 8 - 2 + 5 = 6 + 5 = 11

also, expression 8 - 3x - 3 becomes 8 - 3(2) - 3 = 8- 6 - 3 = 8 - 9 = -1

thus, the value is not equal hence, the two expression are not equivalent.

Thus, option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

6 0

3 years ago

Read 2 more answers

Convert the polar equation r = 2 secØ to a Cartesian equation.y = 2x = 2x^2 = 2

ss7ja [257]

Polar and cartesian equation<h2>Initial explanation</h2>

Let's analyze the relation between r and x and y:

We have that between the indicated value of r (of the polar coordinates) and x and y (of the cartesian coordinates) there is a relation because they form a triangle. If r changes, then the value of x and y will change.

<h2>STEP 1: given equation</h2>

Using the given equation

r = 2 secØ

we have that

$\begin{gathered} r=2secØ \\ \downarrow \\ \frac{r}{2}=secØ \end{gathered}$ <h2>STEP 2: secØ equation</h2>

Observing the image of the initial explanation we have a right triangle, we know that the equation of

secØ for any right triangle is given by:

$\sec Ø=\frac{\text{hypotenuse}}{\text{adjacent side}}$

In this case,

hypotenuse = r

adjacent side = x

then,

$\begin{gathered} \sec Ø=\frac{\text{hypotenuse}}{\text{adjacent side}}=\frac{r}{x} \\ \sec Ø=\frac{r}{x} \end{gathered}$ <h2>STEP 3: comparison between given equation and secØ equation</h2>

Then, we have that:

$\begin{gathered} \sec Ø=\frac{r}{x} \\ \sec Ø=\frac{r}{2} \end{gathered}$

This means that:

$\begin{gathered} \frac{r}{x}=\sec Ø=\frac{r}{2} \\ \downarrow \\ \frac{r}{x}=\frac{r}{2} \end{gathered}$

Then,

x = 2

The equation in cartesian coordinates is x=2.

Answer: x=2

6 0

1 year ago