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lina2011 [118]
3 years ago
5

How do you do this question?

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

9.37

Step-by-step explanation:

T₄ means the area of the region using 4 trapezoids.

Dividing the interval into 4 equal widths, the width of each trapezoid is (4−0)/4 = 1.

The area of each trapezoid is:

T₁ = ½ (1.00 + 1.41) (1) = 1.205

T₂ =  ½ (1.41 + 2.24) (1) = 1.825

T₃ =  ½ (2.24 + 3.16) (1) = 2.700

T₄ =  ½ (3.16 + 4.12) (1) = 3.640

Therefore, the total area is:

T = 1.205 + 1.825 + 2.700 + 3.640

T = 9.37

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Max, a carpet installer, needs to calculate the amount of carpet needed to cover a floor that’s 3 1⁄2 yards wide and 4 3⁄4 yards
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Step-by-step explanation:

Just multiply 3.5 and 4.75

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3 1/2 and 4 3/4

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3 0
3 years ago
Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second
vovikov84 [41]

Answer:

The value of second quantity is 27

Step-by-step explanation:

Inverse variation can be represented by the equation xy=k or y = \frac{k}{x} i.e,

y varies inversely as x , if there is some nonzero constant k such that, xy =k or y = \frac{k}{x} where  x≠0 and y≠0.

Given: Two quantities vary inversely.

Let x be the first quantity and y be the second quantity if they  vary inversely.

then, by definition of inverse variation;

y = \frac{k}{x}            .....[1]

Substitute the value of x=15 and y=18 to solve for k;

18= \frac{k}{15}

Multiply both sides by 15 we have;

15\times 18=15 \times \frac{k}{15}

Simplify:

k=270

now, find  the second quantity y using same method when x=10.

then;

after substituting the value of x=10 and k=270 in [1] ;

y = \frac{270}{10}

Simplify:

y= 27

Therefore, the second quantity value i.e,y = 27



7 0
3 years ago
Read 2 more answers
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