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MatroZZZ [7]
3 years ago
13

Find the area of a trapezoid with sides of 8cm 14cm 8cm 21cm and a height of 7cm​

Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

The answer to the question is 122.5

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Choose the benchmark that 3-7/12<br> closest to<br> 3-1/2<br> 2.<br> 3
luda_lava [24]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
Solve the following equation by completing the square. 3x^2-3x-5=13
mr Goodwill [35]

we'll start off by grouping some

\bf 3x^2-3x-5=13\implies (3x^2-3x)-5=13\implies 3(x^2-x)-5=13 \\\\\\ 3(x^2-x)=18\implies (x^2-x)=\cfrac{18}{3}\implies (x^2-x)=6\implies (x^2-x+~?^2)=6

so we have a missing guy at the end in order to get the a perfect square trinomial from that group, hmmm, what is it anyway?

well, let's recall that a perfect square trinomial is

\bf \qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2

so we know that the middle term in the trinomial, is really 2 times the other two without the exponent, well, in our case, the middle term is just "x", well is really -x, but we'll add the minus later, we only use the positive coefficient and variable, so we'll use "x" to find the last term.

\bf \stackrel{\textit{middle term}}{2(x)(?)}=\stackrel{\textit{middle term}}{x}\implies ?=\cfrac{x}{2x}\implies ?=\cfrac{1}{2}

so, there's our fellow, however, let's recall that all we're doing is borrowing from our very good friend Mr Zero, 0, so if we add (1/2)², we also have to subtract (1/2)²

\bf \left( x^2 -x +\left[ \cfrac{1}{2} \right]^2-\left[ \cfrac{1}{2} \right]^2 \right)=6\implies \left( x^2 -x +\left[ \cfrac{1}{2} \right]^2 \right)-\left[ \cfrac{1}{2} \right]^2=6 \\\\\\ \left(x-\cfrac{1}{2} \right)^2=6+\cfrac{1}{4}\implies \left(x-\cfrac{1}{2} \right)^2=\cfrac{25}{4}\implies x-\cfrac{1}{2}=\sqrt{\cfrac{25}{4}} \\\\\\ x-\cfrac{1}{2}=\cfrac{\sqrt{25}}{\sqrt{4}}\implies x-\cfrac{1}{2}=\cfrac{5}{2}\implies x=\cfrac{5}{2}+\cfrac{1}{2}\implies x=\cfrac{6}{2}\implies \boxed{x=3}

6 0
3 years ago
Jose earned 15 points in a video game. He lost 40 points, earned 87 points, then lost 30 more points. Write and evaluate an expr
KIM [24]

(15-40)+(87-30)

-25+57

32 total points

7 0
3 years ago
Need help ASAP Thankyou
sineoko [7]

Answer:

Volume of the tank = 636 ft³

Step-by-step explanation:

Formula for the volume of a cylinder is,

V = πr²h

Where r = radius of the cylinder

h = height of the cylinder

By substituting the values of radius and height of the water tank given in the question,

V = \pi (4.5)^{2}(10)

   = 202.5π

   = 202.5 × (3.14)

   = 635.85 ft³

   ≈ 636 ft³

Therefore, volume of the cylindrical water tank is 636 ft³.

4 0
3 years ago
Mikel walks down 5 flights of stairs . each flight has 8 steps. which describes mikel's descent
Ludmilka [50]

Answer:

40 steps downwards

Step-by-step explanation:

4 0
2 years ago
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