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3 years ago

My bed is 3 inches by 2and 2/3 inches by 1/3 inch. What is the volume of my bed?

Mathematics

2 answers:

ki77a [65]3 years ago

7 0

Step-by-step explanation:

$volume \: of \: bed \\ \\ = 3 \times 2 \frac{2}{3} \times \frac{1}{3} \\ \\ = 3 \times \frac{8}{3} \times \frac{1}{3} \\ \\ = \frac{8}{3} \\ \\ = 2 \frac{2}{3} \: {inch}^{3}$

CaHeK987 [17]3 years ago

6 0

2 2/3 is the volume of your bed
I believe this is the answer

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9, 21, 7, 11, 13, 21, 5, 14, whats the range?

maria [59]

16 would be the range. The lowest value is 5, and the highest value is 21. You just subtract those two which gives you 16! (:

4 0

2 years ago

Read 2 more answers

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0

3 years ago

Find −5 2/3 − 1/6 Write your answer as a mixed number in simplest form.

Ksju [112]

Answer:

-5 $\frac{5}{6}$

Step-by-step explanation:

3 0

3 years ago

Pls answer asap!!ty!!<br> Please label the missing angles below.

marusya05 [52]

Answer:

Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.

Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.

Work for Triangle C: Same as B.

Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.

Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.

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3 years ago

Two vertical buildings 57 meters apart are 158 meters and 237 meters high. Find the angle of elevation from the top of the short

miskamm [114]

Given :

Two vertical buildings 57 meters apart are 158 meters and 237 meters high.

To Find :

The angle of elevation from the top of the shorter building to the top of the taller building.

Solution :

Distance between height of building, h = 237 - 158 = 79 m.

Distance between these building , d = 57 m.

Now,

$tan\ \theta = \dfrac{h}{d}\\\\tan\ \theta = \dfrac{79}{57}\\\\tan\ \theta = 1.386\\\\\theta = tan ^{-1} 1.386\\\\\theta = 54.19^{\circ}$

Therefore, the angle of elevation from the top of the shorter building to the top of the taller building is 54.19°.

Hence, this is the required solution.

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2 years ago