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MakcuM [25]
4 years ago
7

The height of a triangle is 7 ft more than its base. if the area of the triangle is 30 ft^ what is the lentgh of the base

Mathematics
1 answer:
Dmitriy789 [7]4 years ago
6 0
Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus  x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
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28

Step-by-step explanation:

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3 0
3 years ago
Which sets of three numbers could represent the lengths of the sides of a right triangle?
Sonja [21]

Answer:

The Correct Answer Is B

Step-by-step explanation:

To answer this problem, we use the Pythagorean theorem which states that the square of the hypotenuse or the longest side is equal to the sum of the squares of the legs. Hence trying each option, we verify whether the dimensions are true to the right triangle theorem. In this case, the answer is B.

Hope This Answer Helps You

8 0
3 years ago
I WILL AWARD BRAINLIEST!! PLEASE HELP!!
IgorC [24]

Answer:

A(...; 7)

x =-1/5

B(8; ...)

y = 48

The slope is 5

Step-by-step explanation:

y−5x=8

A(...; 7)

We know that y=7, we need to find x

7 - 5x = 8

Subtract 7 from each side

7-7 -5x = 8-7

-5x =1

Divide by -5

-5x/-5 = 1/-5

x =-1/5

B(8; ...)

We know x = 8 we need to find y

y−5x=8

y - 5(8) = 8

y - 40 =8

Add 40 to each side

y-40+40 = 8+40

y = 48

Now we need to find the slope

y - 5x =8

Add 5x to each side

y -5x+5x = 5x+8

y = 5x+8

This is in the form y = mx+b  where m is the slope

The slope is 5

6 0
3 years ago
Maury completed a bicycle race 1.5 hours faster than Vince at an average speed of 16 miles per hour. Vince completed the same ra
MAXImum [283]
Let the time taken by Vince to complete the race was x hours. 
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.

Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour

Distance = Speed x Time.

For Maury:
Distance = 16(x - 1.5)

For Vince:
Distance = 12x

Since the distance covered by both was the same, we can equate the two equations as:

16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6 
This means Vince complete the race in 6 hours.

Distance = Speed x Time = 12 x 6 = 72 miles

Thus, the total distance of the race was 72 miles. 
3 0
3 years ago
Divide.
joja [24]
I know that the answer is 318
5 0
3 years ago
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