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aleksley [76]
3 years ago
14

Find the volume of a sphere with a radius of 5 inches round to the nearest hundredth

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0
I got 523.6in^3 hope this helps

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A right triangle has side lengths of 0.6 meter and 0.8 meter. What is the length of the hypotenuse? Round to the nearest tenth.
Sonja [21]

Use the Pythagorean theorem since you are working with a right triangle:

a^2+b^2=c^2a2+b2=c2

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

0.8^2+0.6^2=c^20.82+0.62=c2

Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):

0.64+0.36=c^20.64+0.36=c2

Add:

1=c^21=c2

Isolate c. Find the square root of both sides:

\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

c=1,-1c=1,−1

4 0
2 years ago
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve. mc017-1.jpg and x = 1 mc017-2.jpg and x = –1 mc
Wittaler [7]

We are given equation :x^6+6x^3+5=0

Use\:the\:rational\:root\:theorem

\mathrm{Therefore,\:we\:need\:to\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:5}{1}

-\frac{1}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+1

\mathrm{Compute\:}\frac{x^6+6x^3+5}{x+1}\mathrm{\:to\:get\:the\:rest\:of\:the\:eqution:\quad }x^5-x^4+x^3+5x^2-5x+5

Therefore, final factored form it

x^6\:+\:6x^3\:+\:5=\left(x+1\right)\left(x^5-x^4+x^3+5x^2-5x+5\right)

We can't factor it more.

Therefore,

x+1=0.

x=-1.

Therefore, the real solution of the equation would be -1.


5 0
3 years ago
Read 2 more answers
What is the square root of 647
mars1129 [50]

Answer:

Step-by-step explanation:

Air pressure is measured in pascals. For a professional American football game, the ball should be inflated to about 90,000 pascals. Scientists studied the effects of air temperature on the pressure inside American footballs by taking these steps:

1. Prepare 100 footballs.

2. Measure each football's air pressure.

3. Divide footballs into 10 groups.

4. Place the groups in different lockers cooled to different air temperatures.

5. After 12 hours, remove the footballs from lockers.

6. Measure each football’s pressure again.

7. Compare the new pressures to the starting pressures.

What two terms best describe the variable "air pressure inside the football" in this experiment?

independent, qualitative

independent, quantitative

dependent, qualitative

dependent, quantitative

5 0
3 years ago
Read 2 more answers
Use the following table to find the Rate of Change.
ELEN [110]

Answer:

x=1 and y= 6

Step-by-step explanation:

and for y its a positive cause their both negitives

3 0
3 years ago
Make up a word problem for y = 50+4x
antiseptic1488 [7]
Bill has 50 pennies in his drawer he finds 4 more pennies on the floor and his brother gives him x times the amount of pennies he has.
5 0
3 years ago
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