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4 years ago

What is the radius of a sphere with a surface area of 100πcm2?

Mathematics

1 answer:

blondinia [14]4 years ago

8 0

Surface area of a sphere = 4πr^2
4πr^2=100π
Divide both sides by 4π
r^2=100
r=10
The radius is 10 cm.

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Each beehive on larsons honey farm usually produces 85 pounds if honey per year. About how many pounds of honey wil 10 to 3power

Dvinal [7]

1 beehive produces 85 lb/year

10³ beehives = 1,000 beehives produce 85x1,000 = 85,000 lb/year

5 0

3 years ago

Solve for x and y please!

galina1969 [7]

Answer:

$x = 8$

$y=2\sqrt{3}$

Step-by-step explanation:

The figure is composed of 3 Right triangles. To find the values of the variables x and y we use the Pythagorean theorem to propose one equation.

$x^2 =4^2 + (4\sqrt{3})^2$

Now we solve for x

$x=\sqrt{4^2 + (4\sqrt{3})^2}$

$x=\sqrt{16 +16*3}\\\\x=\sqrt{64}\\\\x=8$

Let's call z at the angle opposite to y

Then we have that:

$sin(z) =\frac{opposite}{hypotenuse}$

Where

$hypotenuse = 8$

$opposite=4$

$sin(z) =\frac{4}{8}$

$z=sin^{-1}(\frac{1}{2})$

$z=30$

Now we use this angle to find the length y

$sin(z) =\frac{opposite}{hypotenuse}$

Where in this case

$hypotenuse = 4\sqrt{3}$

$opposite=y$

$z=\°30$

$sin(30\°) =\frac{y}{4\sqrt{3}}$

$y=sin(30\°)*4\sqrt{3}$

$y=2\sqrt{3}$

6 0

3 years ago

Write the decimal as a fraction a mixed number in simplest form. <br> -1.46(6 repeating)

marishachu [46]

Answer:

-1 46/100 and -146/100 are your answers you cannot simplify past this point

Step-by-step explanation:

5 0

3 years ago

A rectangle has a height of x+ 9 and a width of x^2 + 2x

Neporo4naja [7]

Answer:

x³ + 11x² + 18x

Step-by-step explanation:

(x² + 2x)(x + 9)

<em>Step 1: Distribute x²+2x into x + 9.</em>

x³ + 2x² + 9x² + 18x

<em>Step 2: Combine like terms.</em>

x³ + 11x² + 18x

The area of this rectangle is x³ + 11x² + 18x.

8 0

3 years ago

Read 2 more answers

In the diagram below, the lines are parallel. m∠BCD = 52° and m∠EAB = 73°. What is the measure of ∠ABC?

nata0808 [166]

Answer:

Step-by-step explanation:

∠EAB = 73

∠BC<u>D = 52 </u>

125

∠ABC = 360 - 125

= 235°

7 0

3 years ago