You have the correct steps and final answer. The area of the room is 196 square feet, so each side is sqrt(196) = 14. The perimeter is 14*4 = 56 feet. You'll need 6 boards (each 10 ft long) to get 60 ft total. You'll have 60-56 = 4 ft of board left over. This is assuming that there isn't any other type of waste or mistakes made in cutting.

Nice work on getting the correct steps and final answer.

8 0

2 years ago

(gh)^0 I'm very confused can you show me how to solve this

lana [24]

The expression is:

$(9d^{10})^{-2}$

Simplify the expression:

1. Multiply the exponent outside the parenthesis with every exponent inside the parenthesis,

$\begin{gathered} (9d^{10})^{-2}=9^2d^{(-10)\times2} \\ (9d^{10})^{-2}=9^{-2}d^{-20} \end{gathered}$

Since, exponents in negative form are express as fraction with 1 as numerator.

$\begin{gathered} \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=9^{-2}d^{\mleft\{-20\mright\}} \\ \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=\frac{1}{9^2}\times d^{\mleft\{-20\mright\}} \\ \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=\frac{1}{81}^{}d^{\mleft\{-20\mright\}} \end{gathered}$

Answer: 1/81d^(-20)

3 0

11 months ago

If line segment AB is a diameter and is at right angles to line segment CD, what is the ratio of CD to DE?

DedPeter [7]

The answer to this is 2.

There are a number of proofs to this. Here, we use Euclidean geometry with trigonometry. If we let the center of the circle to be O.
Then, we have the following equations for the angles
CEO = OED = 90

Since, CO = OD because they're radii of the circle, then
ΔCOD is an isosceles triangle and
OCE = ODE

CE + DE = CD
dividing the whole equation by DE
CE/DE + 1 = CD/DE

Using trigonometric functions:
CE = OC cos OCE and
DE = OD cos ODE

Substituting.
OC cos OCE / OD cos ODE + 1 = CD/DE

Since, OCE = ODE,
cos OCE = cos ODE

The equation would be reduced to:
1 + 1 = CD/DE
CD/DE =2

4 0

3 years ago