All categories

3 years ago

3^2 multiplied 3^-5 in fraction form

Mathematics

1 answer:

andrey2020 [161]3 years ago

4 0

3^2=9
3^-5=1/243
9 x 1/243=1/27
your answer is 1/27
hope it helps!

You might be interested in

Martin is dilating a blue triangle to create a yellow triangle. If he used a scale factor of

kipiarov [429]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details, as the scale factor is not given. However, I will give a general explanation on how to calculate the area and perimeter of a dilated shape (triangle).

The following assumptions, apply:

(1) Scale factor of 1/2 from the blue to the yellow triangle.

(2) The dimension of the blue triangle are:

$Base = x$

$Sides= y\ and\ z$

$Height= h$

First, calculate the dimensions of the yellow triangle.

The dimension will be the product of the scale factor and the dimensions of the blue triangle.

So, we have:

$Base = \frac{1}{2} * x = \frac{1}{2}x$

$Sides = \frac{1}{2}y\ and\ \frac{1}{2}z$

$Height = \frac{1}{2}h$

The perimeter of the blue triangle is:

$P_1 =Base + Sides$

$P_1 = x + y + z$

The perimeter of the yellow triangle is:

$P_2 =Base + Sides$

$P_2 = \frac{1}{2}x + \frac{1}{2}y + \frac{1}{2}z$

Factorize

$P_2 = \frac{1}{2}[x + y + z]$

Recall that: $P_1 = x + y + z$

So:

$P_2 = \frac{1}{2}*P_1$

This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.

The area of the blue triangle is:

$A_1 = \frac{1}{2}* Base * Height$

$A_1 = \frac{1}{2} * x* h$

$A_1 = \frac{1}{2} xh$

The area of the yellow triangle is:

$A_2 = \frac{1}{2} * Base * Height$

$A_2 = \frac{1}{2}* (\frac{1}{2}x) * (\frac{1}{2}h)$

Rewrite as:

$A_2 = \frac{1}{2}* \frac{1}{2} [\frac{1}{2}x h]$

$A_2 = (\frac{1}{2})^2 *[\frac{1}{2}x h]$

Recall that: $A_1 = \frac{1}{2} xh$

So:

$A_2 = (\frac{1}{2})^2 *A_1$

This implies that the area of the yellow triangle is a product of the square of the scale factor and the area of the blue triangle.

4 0

3 years ago

Express the complex number 3(cos270° + i sin270°) in standard a + bi form.

Y_Kistochka [10]

Answer is choice C
The expression given is equivalent to -3i

============================================

Explanation:

Using a calculator, a reference sheet, or the unit circle, you'll find that:
cos(270) = 0
sin(270) = -1

So this means
z = 3(cos(270)+i*sin(270))
z = 3(0+i*(-1))
z = 3*0+3*i*(-1)
z = 0-3i
z = -3i
which is in a+bi form where a = 0 and b = -3

4 0

3 years ago

Find the next two terms of the sequence. 10, 4, -2, -8,...

Masja [62]

The answer to the first one is D. The numbers are being decreased by 6. The answer to the second one is A. The numbers are being multiplied by 10.

8 0

4 years ago

Read 2 more answers

If Courtney walks 3 miles in 80 minutes, then Courtney will walk how far

ozzi

Divide 80/3 which equals 26.6. So it take Courtney 26.6 minutes to walk 1 mile. Then divide 110/26.6 which equals 4.1.

Courtney walls 4.1 miles in 110 minutes.

6 0

4 years ago

Each paper clip is 3/4 of an inch long and cost 0.02. Exactly enough paper clips I laid into him to have a total length of 36 in

Artist 52 [7]

Answer:

0.96

Step-by-step explanation:

price of 0.75 inch paper clip = 0.02$

To get price of 36 inches

0.75 --------0.02

36. --------. X

X = (36*0.02)/0.75 = 0.96$

6 0

3 years ago