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Sonja [21]
1 year ago
7

A triangular banner for the basketball championship hangs in the gym. It has an area of 48 square feet. What is the length of th

e base and height (in ft), if the base is two-thirds of the height?
Mathematics
1 answer:
baherus [9]1 year ago
8 0

From the area of a triangle, the height of the triangle is 12ft

<h3>Area of Triangle</h3>

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, which is given by

A = 1/2 b * h

  • A = Area of triangle
  • b = base
  • h = height

In the given question, the base is two-thirds of the height.

b = 2/3h

Let's substitute the values into the formula

A = 1/2 * 2/3h * h

A = 2/6 * h²

A = 1/3h²

48 = 1/3h²

h² = 48 * 3

h = √144

h = 12ft

Learn more on area of a triangle here;

brainly.com/question/23945265

#SPJ1

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7 0
3 years ago
The price of an item has been reduced by 30%. The original price was $20. What is the price of the item now?
Ludmilka [50]

Answer:

$14

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7 0
3 years ago
Read 2 more answers
(PLEASE HELP) A contractor has 10 lots for sale to build on. 4 lots are greater than two acres. 6 lots are less than two acres.
charle [14.2K]
Probability that the first lot sold will be less than two acres = number of lots less than two acres / total number of lots = 6/10 = 3/5
 
Probability that the second lot sold will be less than two acres = remaining number of lots less than two acres / remaining total number of lots = 5/9

Required probability = 3/5 x 5/9 = 15/45 = 1/3
8 0
3 years ago
Which statements must be true?
Lorico [155]
Take a look at the picture and note that the same tick marks represent that they are congruent parts. 

A. UV is parallel to JL. Yes, this is correct. They are parallel because they don't intersect at any point.

B. UW = 12KL. This is incorrect. The truth is, UW = (1/2)(KL). If this is a typo error and there should've been a '/' in between 1 and 2, then this is acceptable.

C. UW = VW. As you can see, UKVW is a rectangle. They have two pairs of congruent sides. And UW≠VW, so this is incorrect.

D. UV = UK. The diagonal of a rectangle is never equal with one of its sides. So, this is incorrect.

E. JK = 2VW. Since VW=UK and we can see that twice the length of UK is equal to JK, then this is correct.
6 0
3 years ago
Goran rented a truck for one day. There was a base fee of $17.99 , and there was an additional charge of 75 cents for each mile
Vikki [24]
Cost of the total miles travelled
= $191.24 - $17.99
= $173.25

Miles travelled
= $173.25 ÷ 0.75
= 129.9375 miles
≈ 130 miles (3s.f)
8 0
3 years ago
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