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2 years ago

What expression represents the volume of the prism, in

Mathematics

1 answer:

valkas [14]2 years ago

6 0

Step-by-step explanation:

<u>Volume of a triangular prism = 1/2 × lbh</u>

<u>Volume of a triangular prism = 1/2 × lbhSo, from given options, we can select 39 x 2 = 13 × 3 × 2 as the expression that represents the volume of the prism, with 13 as the height or length of the prism.</u>

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Can someone please help

Gre4nikov [31]

Answer:

$162.07$

Step-by-step explanation:

An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:

$(angle\ of\ depression) + (angle\ of \ sight)=90$

Substitute,

$(angle\ of\ depression) + (angle\ of \ sight)=90$

$(m$

$42+(m$

Inverse operations,

$42+(m$

$m$

Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.

In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).

$tan(\theta)=\frac{opposite}{adjacnet}$

Substitute,

$tan(48)=\frac{180}{adjacent}$

Inverse operations,

$tan(48)=\frac{180}{adjacent}$

$adjacent=\frac{180}{tan(48)}$

$adjacent=162.07$

8 0

2 years ago

Find the sixth term of the following geometric sequence.

erastovalidia [21]

The answer to this would be 3 1/2 but the simplified fraction is 3.5

8 0

3 years ago

Please help me with this question. Will give you brainliest.

jok3333 [9.3K]

The answer is D, she moved down 7 blocks and across 6 and 7 + 6 = 13...

7 0

3 years ago

5. If rectangle ABCD is similar to rectangle MNOP, which of the following must be true? Explain how you know.

Sergio [31]

Answer:

Option C

Step-by-step explanation:

If rectangle ABCD is similar to rectangle MNOP,

Their corresponding sides will be proportional.

$\frac{AB}{MN}=\frac{BC}{NO}=\frac{CD}{OP}= \frac{AD}{MP}$

And the corresponding angles will be equal.

∠A ≅ ∠M

∠B ≅ ∠N

∠C ≅ ∠O

∠D ≅ ∠P

Therefore, Option C will be the correct option.

8 0

2 years ago

James flips a fair numbered cube with faces numbered 1-6 and flips a quarter what is the probability that in one turn James coul

Whitepunk [10]

Answer:

Therefore the probability that in one turn James could roll an odd number and fip a heads on the quarter is = $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$ .

Step-by-step explanation:

i) There are three odd numbered faces on the cube, that is the faces having 1, 3, and 5.

Therefore the probability of rolling an odd numbered face is = $\frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{1}{2}$ since the probability of rolling 1 = probability of rolling 3 = probability of rolling 5 = $\frac{1}{6}$

ii) The probability of flipping a head on the quarter = probability of flipping a tail on the quarter = $\frac{1}{2}$

iii) Therefore the probability that in one turn James could roll an odd number and fip a heads on the quarter is = $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$

3 0

3 years ago