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1 year ago

I needs help please, a step by step answer

Mathematics

2 answers:

trapecia [35]1 year ago

6 0

Answer:

Step-by-step explanation:

Pythagorean theorem: a²+b²=c² a²=32² b²=60² c²=hypotenuse²

32²+60²=c²

1024+3600= c²

4624=c²

Now, take the square root of both sides of the equation to find c

$\sqrt{4624}$ =c

68=c

Paladinen [302]1 year ago

6 0

The answer to this question is 68.

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Mark is six years older than his brother Sam. The sum of their ages is 30. Let 'a' be Sam's age.

svlad2 [7]

Answer:

a = 12 years

Step-by-step explanation:

Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

Mathematically this means a + a + 6 = 30

2a + 6 = 30

This is the equation needed to get a. To get a , we proceed to solve the equation to completion.

2a = 30 - 6

2a = 24

a = 24/2

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2 years ago

What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft.

sveticcg [70]

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

$Area=length\times width$

$Area=78\times 36$

$Area=2808\text{ ft}^2$

The area of drawing is

$Area=15.6\times 7.2$

$Area=112.32\text{ in.}^2$

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

$\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1$

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

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3 years ago

Use distributive property to create an equivalent expression to 7x+56

Alexeev081 [22]

The answer should be 7(x+8)

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3 years ago

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Aleks04 [339]

Answer: 45

Step-by-step explanation:

Complemntary angles result in a sum of 90. So, H=45 means

45+J=90

90-45= 45

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