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3 years ago

A triangular flag has an area of 493 square meters and a height of 17 meters. What is the length of the base

Mathematics

2 answers:

ahrayia [7]3 years ago

7 0

Answer:

$\frac{984}{17}$ or around 57.88

Step-by-step explanation:

We can find the base length by using the formula for the area of a triangle.

$A=\frac{bh}{2}$

Plug in the values that we know, the area and the height, and solve for $b$ .

$493=\frac{17b}{2}$

$984=17b$

$b=\frac{984}{17}So the base is [tex]\frac{984}{17}$ or about 57.88 if you round to the nearest hundredth.

tatiyna3 years ago

6 0

Answer:

58 meters

Step-by-step explanation:

We are looking for the length of the base of a triangle, given the height and area. The formula for the area of a triangle

A=1/2 bh

relates A= the area, b= length of the base, and h= the height of a triangle, so this is the formula we should use.

We are given that the area of the triangle is A=493 and the height h=17. Substitute this information into the formula and solve for b to find

A=493

493=1/2⋅b⋅17

493=17/2b

58=b

The length of the base is 58 meters.

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3 years ago

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

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Insert the known values:

$324=(4w)*w$

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$324=4w*w\\324=4w^2$

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The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

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Now find the perimeter:

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Brian bought a new air conditioning unit on his credit card. The unit had a base price of $435. Brian made no other purchases on

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Answer:

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Step-by-step explanation:

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So, the total amount paid by Brian should be higher than the actual price since he used his credit card. Use the formula from economics:

F = P (1+i)^n

F = $507.96

Therefore, the total amount paid by Brian is $507.96.

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Answer:

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