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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

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The price of the bicycle that Rocco wants to buy is $282. How much will Rocco pay for the bicycle if the state tax rate is 4%?
olasank [31]

Answer:

Rocco payes $292.28

Step-by-step explanation:

Because it is an increase so you put 104% over 100% in fraction form and then  you put 282 at the bottom of another part of a fraction then you do 100 divided by 282 and you get 2.82 so then you take that 2.82 and you multiply it by 104% and you get 292.28 you can use a calculator to check but i know i did it correctly


5 0
3 years ago
What is the name of the following<br> polynomial expression<br><br><br>4x²+x-3​
nadya68 [22]

Answer:

It has 3 terms so it is a trinomial.

I think

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence.
aliya0001 [1]

Answer:

Answer b)

Step-by-step explanation:

In the sequence 0, 5, 10, 15,...

5 is added to each term in order to get the next one. Therefore the next three terms would be; 20, 25, 30.

This agrees with answer b) in the list of possible answers.

3 0
3 years ago
Rule add 15, subtract 10 first term4
mr Goodwill [35]
I think that would be 9 I am not sure.

8 0
3 years ago
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Let ∠X and ∠Y be complementary. If sin(X) =
Lena [83]
<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.

_____

You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.

... Sin = Opposite/Hypotenuse

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3 years ago
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