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Alekssandra [29.7K]
3 years ago
10

Name another way to prove a quadrilateral is a rectangle.

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0
Actually there's too many ways but this was the simplest ways

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Using right triangle below find the sine of angle B
Reil [10]

Answer:

1/2

Step-by-step explanation:

sin = opposite/hypotenuse, so

sin(B) = \frac{\sqrt{7} }{2\sqrt{7} } = 1/2

7 0
4 years ago
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Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and fou
saw5 [17]

Answer:

height = 14.5 ft

width = length = 3.2 ft

Step-by-step explanation:

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

h = \frac{144-5a^{2}}{2a}     .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = \frac{144-5\times 3.2\times 3.2}{2\times 3.2}

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

6 0
3 years ago
Write and solve an equation to answer the question.
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.85x=10.2
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3 years ago
Kelly ran 2 miles and burned 240 calories. The next day she ran 3 miles and burned360 calories. Th3 nest day 4 miles and 480 mil
mario62 [17]

Answer:

1080 calories

Step-by-step explanation:

all you do is add 120 everytime she goes on run

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3 years ago
Calculate 36%of $4500
Aleksandr [31]

Answer:

1620

Step-by-step explanation:

0.36*4500=1620

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3 years ago
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