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3 years ago

7

A circle with radius r is inscribed inside a square with a side length s. Use 3.14 for TT. Round answers to the nearest hundredt

h if necessary.
Write an expression for the area of the shaded region.

A=

1 answer:

Kamila [148]3 years ago

8 0

Answer:

Step-by-step explanation:

Area of circle =πr² and r = s/2

Area of the shaded region = area of square - area of the circle

A = s² + πr²

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How many solutions does the system of equations have 3x=-12+15 and x + 4y =5

Sphinxa [80]

Answer:

infinitely many solutions

Step-by-step explanation:

I assume that you meant

3x = -12y + 15 and x + 4y =5 (you accidentally omitted the 'y')

Multiplying the second equation by 3 yields

3x + 12y = 15

... which is identical to the first equation. Thus, the two lines coincide, and we conclude that there are infinitely many solutions.

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3 years ago

If fan is fully open, what is the approximate area of the fan? Answer choices are attached.

scoundrel [369]

Answer:

Option B. $78.8\ in^2$

Step-by-step explanation:

step 1

Find the area of a circle with radius 8.5 inches

The area of a circle is equal to

$A=\pi r^{2}$

substitute

$A=\pi (8.5)^{2}$

$A=72.25\pi\ in^2$

step 2

Find put the approximate area of the fan

we know that

The area of complete circle subtends a central angle of 360 degrees

so

using proportion

Find the area that correspond a central angle of 125 degrees

$\frac{72.25\pi}{360^o}=\frac{x}{125^o}\\\\x=72.25\pi(125^o)/360^o\\\\x=25.09\pi\ in^2$

assume

$\pi =3.14$

$25.09(3.14)=78.8\ in^2$

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3 years ago

A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.

Aleonysh [2.5K]

Answer: 720.3

Step-by-step explanation:

First you divide 6.4 by 9.8 then you divide by 470.40 to get 720.3

Hope this helps

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3 years ago

The probability distribution of a random variable X is given. x 1 2 3 4 P(X = x) 0.4 0.1 0.3 0.2 Compute the mean, variance, and

Readme [11.4K]

Mean:

$E(X) = \displaystyle \sum_{x\in\{1,2,3,4\}}x\,P(X=x) = 1\times0.4 + 2\times0.1 + 3\times0.3 + 4\times0.2 = \boxed{2.3}$

Variance:

$\displaystyle V(X) = E\left((X-E(X))^2\right) = E(X^2) - E(X)^2 \\\\ E(X^2) = \sum_{x\in\{1,2,3,4\}}x^2\,P(X=x) = 1^2\times0.4 + 2^2\times0.1 + 3^2\times0.3 + 4^2\times0.2 = 6.7 \\\\ \implies V(X) = 6.7 - 2.3^2 = \boxed{1.41}$

Standard deviation:

$\sigma_X = \sqrt{V(X)} = \sqrt{1.41} \approx \boxed{1.19}$

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3 years ago

Help my sister plsssssss :)

spayn [35]

Answer:

5 11/45

Step-by-step explanation:

1st, write them as improper fractions (so it is easier)

(121/9)-(41/5)

Next, make the fractions have the same denominator b finding their LCD

121/9-->605/45

41/5-->369/45

now subtract

605/45-369/45=236/45 or 5 11/45

Hope this helps ur sis

4 0

3 years ago

Read 2 more answers