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coldgirl [10]
3 years ago
9

A hockey team is revealing their championship banner outside their stadium. The banner is in the shape of a triangle with a heig

ht that is 4 times as tall as the base length of the banner. If the total area of the banner is 18 square meters (18m2), what is the length of the base of the banner in meters?
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Answer: the length of the base of the banner is 3 meters.

Step-by-step explanation:

Assuming the banner is in the shape of a right angle triangle, we would apply the formula for determining the area of a triangle which is expressed as

Area = 1/2 × base × height

Let b represent the base

The banner is in the shape of a triangle with a height that is 4 times as tall as the base length of the banner. It means that the height of the banner is 4b

If the total area of the banner is 18 square meters, it means that

18 = 1/2 × b × 4b

18 = 2b²

b² = 18/2 = 9

b = √9 = 3 meters

You might be interested in
A circle had a circumference of 28.26 units what is the diameter of the circle
kolezko [41]

Answer:

9

Step-by-step explanation:

3.14 divided by 28.26 = 9

8 0
4 years ago
Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.
Brrunno [24]

Answer:

The value of the x is 1/9.  

Step-by-step explanation:

Data provided in the question is:

3^2/x=81

To find out:-        

the value of x.

Solution for the equation:-    

3^2/x = 81\\9/x=81\\9/81=x\\1/9=x\\

On solving the given question or equation by using  mathematics of algebra we find out the value of x to be 1/9.

7 0
3 years ago
Shureka Washburn has scores of 67​, 68​, 76​, and 63 on her algebra tests. a. Use an inequality to find the scores she must make
mash [69]
Average=(total number)/(number of items)
given that the final exam counts as two test, let the final exam be x. The weight of the final exams on the average is 2, thus the final exam can be written as 2x because any score Shureka gets will be doubled before the averaging.
Hence our inequality will be as follows:
(67+68+76+63+2x)/6≥71
(274+2x)/6≥71
solving the above we get:
274+2x≥71×6
274+2x≥426
2x≥426-274
2x≥152
x≥76

b] The above answer is x≥76, the mean of this is that if Shureka is aiming at getting an average of 71 or above, then she should be able to get a minimum score of 76 or above. Anything less than 76 will drop her average lower than 71.


8 0
3 years ago
If T: (x, y) → (x - 3, y + 2), then T -1: (x,y) → _____.
tatyana61 [14]

Answer:

(x + 3, y - 2)

Step-by-step explanation:

we know that

The rule of the transformation T is equal to

T: pre-image → image

T: (x, y) → (x',y')

T: (x, y) → (x - 3, y + 2)

so

x'=x-3 ----> x=x'+3

y'=y+2 ----> y=y'-2

The rule of the inverse of transformation T -1 is equal to

T-1: image → pre-image

T-1: (x', y') → (x,y)

T-1: (x', y') → (x'+3, y'-2)

6 0
3 years ago
a carpenter lays 1,300 wood shingles the first day, 1,400 the second, and 1,500 the third. How many shingles are used in three d
vlabodo [156]

With this question, you are just going to add up the three numbers

1,300 + 1,400 + 1,500

This equals 2,200

Hope I helped!

8 0
3 years ago
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