All categories

3 years ago

Find the length of the radius of the circle.

Mathematics

2 answers:

Kruka [31]3 years ago

7 0

Answer:

By Pythagoras theorem, we get

${x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}$

<h2>C) <u>6 inches</u> is the right answer.</h2>

bearhunter [10]3 years ago

3 0

Answer:

C) 6 inches

Step-by-step explanation:

(√72)² = x² + x²

72 = 2x²

72/2 = x²

36 = x²

√36 = √x²

6 = x

x = 6 inches

You might be interested in

To rent an instrument from the school it costs a $50 insurance fee and then $350 per day of use. If Sally rents her instrument f

Ne4ueva [31]

Answer:

$2,500

Step-by-step explanation:

$350 per day for 25 days

350*25=2450

Add the 50 for insurance and that makes it 2500

If its wrong im sorry

5 0

3 years ago

Read 2 more answers

0.285714285 nearest thousandth

Agata [3.3K]

Answer:

0.286

Hope that helps!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The equation x^2+y^2-4x+2y=b describes a circle. Determine the y-coordinate of the center of the circle.

irga5000 [103]

X² + y² - 4 x + 2 y = b
x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1
( x - 2 )² + ( y + 1 )² = b + 5
y - coordinate of the center of the circle is: y = - 1
b + 5 = r
b + 5 = 7
b = 7 - 5
b = 2

3 0

3 years ago

Read 2 more answers

How do I solve a given right triangle to find Cos, Sin, and Tan. How do I solve for a missing adjacent side? (For Example: Imagi

Sphinxa [80]

The steps to find cos, sin, and tan and missing adjacent side of a given right angle triangle is explained.

<u>Solution:</u>

Given, a right triangle with A, B, and C.

Opposite side = 70 inches

Hypotenuse = 12 feet = 12 $\times$ 12 inches = 144 inches

Adjacent side = "x" inches.

We are not given angle, so we have to use the hypotenuse theorem

Hypotenuse theorem means square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

$\text { hypotenuse }^{2}=(\text { opposite side })^{2}+(\text { adjacent side })^{2}$

Substituting the values we get,

$\begin{array}{l}{\rightarrow 144^{2}=70^{2}+x^{2}} \\\\ {\rightarrow x^{2}=20736-4900} \\\\ {\rightarrow x^{2}=15836} \\\\ {\rightarrow x=\sqrt{15836}} \\\\ {\rightarrow x=125.841}\end{array}$

So, the adjacent side value is 125.8 inches approximately.

Hence the steps to find adjacent side is shown above

Now let us find cos, sin and tan

$\begin{aligned} \sin \theta &=\frac{\text {opposite side}}{\text {hypotenuse}} \\\\ \cos \theta &=\frac{\text {adjacent side}}{\text {hypotenuse}} \\\\ \tan \theta &=\frac{\text {opposite side}}{\text {adjacent side}} \end{aligned}$

By substituting the required values, we can find cos, sin and tan

$\begin{array}{l}{\sin \theta=\frac{70}{144}=\frac{35}{122}} \\\\ {\cos \theta=\frac{125.8}{144}=\frac{62.9}{122}} \\\\ {\tan \theta=\frac{70}{125.8}=\frac{35}{62.9}}\end{array}$

5 0

3 years ago

Consider an experiment to determine the effect of a single factor that can be set to a levels. At each factor setting n measurem

Stella [2.4K]

Answer:

(n-1)a

Step-by-step explanation:

In this question we have a single factor with number of levels equal to a.

Then the Number of observations that are within each factor setting is equal to n.

So the total number of observations = na.

We have the degrees of freedom for SS(Error) = n - k,

Now, n is the total number of observations,

While,

k is the number of levels of the single factor.

Therefore the degrees of freedom is = na - a

= (n - 1)a.

5 0

3 years ago