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3 years ago

Help with my math please worth 20 points

Mathematics

1 answer:

azamat3 years ago

8 0

Answer:

134.3 units²

Step-by-step explanation:

<u>Given figure consists of:</u>

1. Parallelogram with base of 14 and height of 6
2. Two semicircles with diameter of 8

A = 14*6 + π*(8/2)² = 84 + 16π = 134.3 units² (rounded)

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A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the

denis-greek [22]

From your information
Let shorter base = h +3 and longer base = h + 7 where h is the height.
Formula for area of a trapezoid is $A = \frac{1}{2} (b_1 +b_2)h
$
Substituting into the formula we get the following equation.
$150= \frac{1}{2}(h+3+h+7)h$
$150 = \frac{1}{2} (2h+10)h$
$150=h^2+5h$
This is a quadratic equation which I will solve by factoring.
$h^2+5h-150 =0$
$(h-10)(h+15)=0$
$h-10= 0 ..... h=10$ this is a useable answer (it's positive and length must be nonnegative)
$h+15=0 .... h=-15$ can't use this answer
so shorter base = 10 + 3 = 13 yards and longer base = 10 + 7 = 17 yards

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The answer is B 21.53

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The rectangle below has an area of x^2-4x-12x 2 −4x−12x, squared, minus, 4, x, minus, 12 square meters and a length of x+2x+2x,

solniwko [45]

Answer:

Width = x-6 metres

Step-by-step explanation:

The formula for the area of a rectangle is represented by Length (l) × Width (w).

If the area is x^2-4x -12, which is an algebraic expression, The best way to find its length and breadth which would be a product of themselves is by FACTORIZATION.

To factorize x^2-4x -12, we say:

×^2 = a, -4x = b, -12 = c

Product: a×c; -12 × x^2= -12x^2

Sum: b; -4x derived by saying (-6x+2x)

Note that the expression of the sum (-6x+2x) must be able to be multiplied to give product (-12x^2).

Hence, we rewrite our algebraic expression using the sum expression.

x2 - 6x + 2x - 12

We then factorize by using a common factor (x and 2)

x( x - 6) + 2 (x - 6)

(x+2) (x-6)

Thus, the factors are x+2 and x-6

This means that (x+2) and (x-6) will be multiplied to give x^2-4x-12. Therefore, if x+2 metres is the Length, x-6 metres is the width.

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