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3 years ago

What is the area of the triangle shown? A) 5 B) 6 C) 12 D) 30

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

4 0

The answer would be B. Area=base multiplied by the height. Turn the triangle into the square. Then you simply count the number of squares of the height to get 4. Then, count the number of squares of the base to get 3. 4 times 3 to get 12. NOW, there's one more step. Because the formula of the area of a triangle is base times height divided by 2, and since 12 is the area of the imaginary square, we have to turn it back into a triangle by dividing 12 by 2. This leads to a result of 6.

Soloha48 [4]3 years ago

3 0

The answer is 12. hope that helped

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if sarah is 24 years younger than her mother and if the sum of their ages is 68, how old is sarah what would x represent and x-2

timama [110]

2x-24 = 68 2x = 92 so x = 46. Sarah is 22 and her mum is 46.

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4 years ago

A 20-ft by the 40-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway i

Jlenok [28]

<h3>Answer: 2 feet</h3>

========================================================

Explanation:

x = width of the walkway in feet

This is some positive real number.

The dimension of 20 feet bumps up to 20+2x when adding on x from both directions. Similarly, the 40 ft dimension becomes 40+2x

Refer to the diagram below.

The 20 ft by 40 ft pool is surrounded by a larger rectangle that is 20+2x ft by 40+2x ft

The pool itself is 20*40 = 800 sq ft. Add on the walkway area to get 800+256 = 1056 sq ft.

-----------

Area = length*width

1056 = (20+2x)*(40+2x)

1056 = 20*40 + 20*2x + 2x*40 + 2x*2x ... FOIL rule

1056 = 800 + 40x + 80x + 4x^2

0 = 4x^2 + 40x + 80x + 800 - 1056

0 = 4x^2 + 120x - 256

4x^2 + 120x - 256 = 0

4(x^2 + 30x - 64) = 0

x^2 + 30x - 64 = 0

Let's use the quadratic formula to finish solving for x.

Plug in a = 1, b = 30, c = -64

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-30\pm\sqrt{(30)^2-4(1)(-64)}}{2(1)}\\\\x = \frac{-30\pm\sqrt{1156}}{2}\\\\x = \frac{-30\pm34}{2}\\\\x = \frac{-30+34}{2} \ \text{ or } \ x = \frac{-30-34}{2}\\\\x = \frac{4}{2} \ \text{ or } \ x = \frac{-64}{2}\\\\x = 2 \ \text{ or } \ x = -32\\\\$

Recall we made x be positive. This is because a negative walkway width does not make sense. This means we'll ignore x = -32.

The only practical solution is x = 2

Therefore, the walkway is <u>2 feet wide</u>

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2 years ago

I just want to check my answer, what is the slope of (-19, -6), (15,16)?

galina1969 [7]

$slope=\frac{y_2-y_1}{x_2-x_1}\\\\ 
(x_1,y_1)=(-19,-6)\\ 
(x_2,y_2)=(15,16)\\\\
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Slope\ is\ equal\ to\ \frac{11}{17}.
$

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4 years ago

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posledela

Answer:

a. 0.4 and 0.5

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Step-by-step explanation:

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3 years ago

Solve the equation <br>x-13+4x=22<br>a: 1.8<br>b: 5<br>c: 7<br>d: 11.7

Hunter-Best [27]

Answer: x=7

first, collect like terms:
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next move the constant to the right-hand side and change its sign:
5x=22+13

then add:
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lastly divide both sides of the equation by 5:
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hope this helps!! :))

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3 years ago