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erma4kov [3.2K]
4 years ago
9

the ratio of the length and the width of a rectangle is 2:5. If the rectangle has a perimeter of 98 inches, what is the area of

the rectangle?
Mathematics
1 answer:
elixir [45]4 years ago
8 0
The sum of length and width is (98 in)/2 = 49 in.
The length is 2/(2+5) times the sum of length and width, so is 2/7*49 in = 14 in.
The width is 5/7*49 in = 35 in.

The area of the rectangle is (14 in)*(35 in) = 490 in².
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Test scores in a Test were normally distributed with a mean of 75 and a standard deviation of 10. Carl scored 90 in the Test . W
mylen [45]

Answer:

Z-score = 1.5

Step-by-step explanation:

Z-score = (x-mean)/standard deviation

= (90-75)/10

= 1.5

6 0
3 years ago
A cone has a slant length of 10 and a diameter of 8. Height is unknown.
patriot [66]

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 =r

r = 4  

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84= h²  

√84 =h

9.16= h

Back on the volume formula:

V= 1/3 π r² h

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6 0
3 years ago
Which represents the solution set of 5(x+5) <85?
oksano4ka [1.4K]

Answer:

X<12 first choice.

Step-by-step explanation:

5(x+5) <85

5x +25 < 85

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X<12

Hope this helps..

8 0
3 years ago
I don't how how to do this someone please help!​
Nutka1998 [239]

Answer:

Answer to question 8 is : Area =1017.88 and Circumference =113.1

Answer to question 9 is: Area =490.87 and Circumference =78.54

Step-by-step explanation:

8. i just did  πr2for area and for circumference i did 2πr which is just the equation to find each

9.i found that half of the diameter is 12.5 so i did πr2 to find the Area i filled in the radius and pai and 2πr for circumference filled in the pai and radius

oh also round it if u want

plz give me brainliest and rate it that u and goodluck

3 0
3 years ago
-4 -11 = ?
kodGreya [7K]

Answer:

A) -15, 5, 2

Step-by-step explanation:

8 0
3 years ago
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