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Mila [183]
4 years ago
9

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

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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:

<h2>235°</h2><h2 />

Step-by-step explanation:

∠EAB = 73

∠BC<u>D = 52    </u>

           125

∠ABC = 360 - 125

          = 235°

7 0
3 years ago
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