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3 years ago

Simplify. Best Answer gets Branliest!

Mathematics

1 answer:

qwelly [4]3 years ago

5 0

First multiply 5 and 2 together

5 x 2 = 10

The numerator is 3^10

Now look at the denominator. It is 3^-2. In the even of seeing a negative number inside the exponent, flip the number from denominator to numerator, or vice versa.

1/3^-2 = 3^2

Add:

3^10 + 3^2 = 3^12

3^12, or D is your answer

hope this helps

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In ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. Find the measure of ∠J to the nearest degree.

nydimaria [60]

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.

First of all, we will draw a triangle as shown in the attachment.

We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(\angle J)=\frac{22}{54}$

Using inverse sine or arcsin, we will get:

$\angle J=\text{sin}^{-1}(\frac{22}{54})$

$\angle J=24.042075905756^{\circ}$

Upon rounding to nearest degree, we will get:

$\angle J\approx 24^{\circ}$

Therefore, the measure of angle J is approximately 24 degrees.

8 0

3 years ago

the length of a rectangle is 2 inches less than twice its width. If the perimeter of the rectangle is 74 inches, what is the are

schepotkina [342]

If the width is w and the length is l, then 2w-2=l and 2w+2l=72 (using the perimeter equation). Plugging 2w-2 in for l, we get 2w+(2w-2)*2=72 and 6w-4=72. Adding 4 to both sides, we get 6w=76. After that, we divide both sides by 6 to get 74/6=w. Since l=2w-2=136/6, we get (136/6)(74/6)=656.75=area

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3 years ago

What will it cost to carpet a rectangular floor measuring 12 feet by 15 feet if the carpet costs $ 31.65 per square yard?

kaheart [24]

Answer:

$633

Step-by-step explanation:

You multiply the 12x15 feet by 31.65

8 0

3 years ago

1 1/4 as a whole number

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3 years ago

In the diagram below, AD || EH, m/ABF

Oksanka [162]

Answer:

Step-by-step explanation:for the triangle GIF, angle g = 80

angle f = 42 since angle FBA = 138

so angle i = 180 - 42 - 80

= 58

4 0

1 year ago