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Anna71 [15]
2 years ago
12

Please help me!! Thanks guys!! (-2) the power of -4

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0
Answer: 1/16

Explanation: turn the Negative 2 into a positive because a (-) base raised to an even power equals (+) to get 2^-4. Afterwards use the formula a^-n=1/a^n to get a^-n= 1/2^4 and 2 to the power of 4 is 16 because 4 times itself is 16 with that it gives you the answer of 1/16. I know this is a bit confusing lol but I hope that helps! Have a good day :))
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The length of a rectangle is five times it’s width if the area of the rectangle is 320m^2 find its perimeter
BlackZzzverrR [31]

Answer:

Perimeter of the rectangle = 96 meters.

Step-by-step explanation:

Let the width of the rectangle = K

So, the length of the rectangle = 5K

Area  = 320 sq meters

Now, Area of a Rectangle  = Length x Width

⇒  320  = K x  5K

or,5K^{2} = 320\\or, K^{2}  = \frac{320}{5}   = 64

So, the vlue of K = 8 or, K = -8

But as K represents a length hence, K ≠ -8

So, the <u>width of the rectangle = 8 meters</u>

and the<u> length  of the rectangle = 8 x 5 = 40 meters</u>

Now, Perimeter = 2(length + width)

                            = 2(8 + 40) = 96 meters.

So, the perimeter of the rectangle = 96 meters.

6 0
3 years ago
Three cartons of juice cost $4.77 .Find the cost of 8 cartons.
elena-s [515]
You just need to do cross multiplication.
If 3 cartoons cost 4.77 then 8 cost...
8×4.77÷3=$12.72 done!
4 0
3 years ago
Read 2 more answers
One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhomb
vfiekz [6]

Answer:

8 inches

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

A rhombus has 4 equal sides and the diagonal bisect at right angles

Adjacent sides = 9/2 = 4.5

we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54

Cos 54 = adjacent / hypotenuse

0.58778 = 4.5 / hypotenuse

hypotenuse = 4.5 / 0.58778

=7.6559

= 8 inches

3 0
2 years ago
Find the area of the figure.
Eva8 [605]

Answer:

Step-by-step explanation:

Base of the triangle= 37•5m

Height of the triangle= 6•4m

Area of the triangle= 1/2 × base × height

= 1/2 × 37•5 × 6•4

= 120 m^2

Please mark it as brainliest:)

6 0
3 years ago
Please may someone help! <br><br> Will mark branliest!
Burka [1]

Answer:

x=2.5,y=8.75

Step-by-step explanation:

∵△ABC~△ADE

∴\frac{AC}{AE} =\frac{AB}{AD} \\\frac{8}{10} =\frac{10}{10+x} \\10+x=12.5\\x=2.5\\\\\frac{AC}{AE} =\frac{BC}{DE} \\\frac{8}{10} =\frac{7}{y} \\8y=70\\y=8,75

3 0
3 years ago
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