Equivalent expression with only positive exponents. 10 3 × 10 -5 × 2 -8

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

9982 is the correct answer

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What is the value of x? 155 105 A. 55° B. 160° C. 50° O D. 20°

Hatshy [7]

If you are taking one away from the other the answer is 50 degrees so try that hope this helps
=C.

3 0

3 years ago

Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

r = d/2
r= 10 ft/2
r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

$v= \pi (5 \ ft)^2 * (8 \ ft)$

Solve the exponent.

5 ft * 5ft = 25 ft²

$v= \pi (25 \ ft^2)(8 \ft)$

Multiply the numbers in parentheses.

$v= \pi (200 \ ft^3)$

$v= 200 \pi \ ft^3$

The volume of the cylinder is 200π cubic feet and choice C is correct.

5 0

2 years ago

I NEED HELP PLEASE, THANKS! :)

Elena L [17]

Answer:

First option is the right choice.

Step-by-step explanation:

$\frac{1}{\cos \left(x\right)+1}+\frac{1}{\cos \left(x\right)-1}\\\\\frac{\cos \left(x\right)-1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}+\frac{\cos \left(x\right)+1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}\\\\=\frac{\cos \left(x\right)-1+\cos \left(x\right)+1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}\\\\=\frac{2cos\left(x\right)}{cos^2\left(x\right)-1}\\\\=\frac{2cos\left(x\right)}{sin^2\left(x\right)}$