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natulia [17]
3 years ago
13

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

Mathematics
2 answers:
Archy [21]3 years ago
7 0

Answer:

B. 14.8 units3

Step-by-step explanation:

You need to use the following formula:

Where "B" is the area of its base and "h" is the height.

According to the data given in the exercise, you know that:

Therefore, knowing this values, you can substitute them into the formula shown before and then evaluate, in order to calculate the volume of thi right pyramid whose base is a regular hexagon.

Lelechka [254]3 years ago
6 0

Answer: Second option.

Step-by-step explanation:

You need to use the following formula:

V=\frac{1}{3}Bh

Where "B" is the area of its base and "h" is the height.

According to the data given in the exercise, you know that:

B=7.4 units^2\\\\h=6\ units

Therefore, knowing this values, you can substitute them into the formula shown before and then evaluate, in order to calculate the volume of thi right pyramid whose base is a regular hexagon.

Then, you get:

V=\frac{1}{3}(7.4 units^2)(6\ units)\\\\V=14.8\ units^3

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Find the area of ABC with the side lengths a=8 and b= 12, and the included angle C =84 degrees. Round your answer to the nearest
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Answer:

47.7 square units

Step-by-step explanation:

The area of triangle ABC with two given sides and an inclusive angle =

1/2absinC

Where : a = 8, b = 12, C = 84

Area of Triangle ABC = 1/2 × 8 × 12 × sin 84

Area of Triangle ABC = 47.737050978 square units

Approximately to the nearest tenth = 47.7 square units.

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3 years ago
Which ordered pair is a solution of the equation?<br> Y-4=7(x-6)
deff fn [24]

Answer:

(6,4)

Step-by-step explanation:

The equation is in 'point-slope' form.

y-y_1=m(x-x_1)\\\rule{150}{0.5}\\(x_1,y_1) \rightarrow \text{a point that's given}\\\\m \rightarrow \text{slope}

This means we can identify the point that was used in the equation.

y-\boxed{y_1} =m(x-\boxed{x_1}) | y-\boxed{4}=7(x-\boxed{6})\\\rule{210}{0.5}\\y_1 = 4\\\\x_1 =6\\\rule{210}{0.5}\\(x_1,y_1) \rightarrow \boxed{(6,4)}

(6,4) would be a solution to the equation given.

Hope this helps.

4 0
2 years ago
A gardener made a scale drawing of a lawn with a scale factor of 1:10. The
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Answer:

The length is 35 inches and the width is 15 inches.

Step-by-step explanation:

First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.

Now, we have to divide this in the ratio 1:2, which gives

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Hope this helps

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Answer:

-200 isn't higher than 450 but 450 is:

450 is 250 higher than -200

Step-by-step explanation:

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(-1,-2) and (3,3) will be the coordinates to your problem.

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