Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of prism B and C have equal volume. What is the volume of each prism?

Answers

Answer 1

Answer: Prisim A and B are 173 and Prisim C is 172 add those together and you get 518

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El Sr. Jorge Se Dedica A Reparar Y Construir Diferentes Estructuras Metálicas. Para Realizar Algunos Trabajos Envió A Su Ayudante Juan A Comprar Los Siguientes Materiales. 1. Barras De Solera De Las Siguientes Medidas: 1 1/8 in, 1 1/4 in Y 1/2 in. Al Llegar A La Ferretería, Le Muestran Un Manual Donde Aparecen Las Medidas Que Están Disponibles.

a) 0.933 in
b) 0.4375 in
c) 0.5 in
d) 1.375 in
e) 1.125 in
f) 1.933 in
g 1.250 in
h) 1.012

¿Cuáles Medidas Del Manual Debe Pedir Juan?

Answers

For the measurements in the manual that Juan should ask for at the hardware store: 1 1/8" screed bars: a) 24mm, 1 1/4 in. screed bars: d) 35 mm, and 1/2 in. screed bars: b) 0.4375 in.

What are the correct measurements?

The measurement 1 1/8 in is equivalent to 1.125 inches. Among the given options, the closest measurement is 0.933 in, which is the best choice.
The measurement 1 1/4 in is equivalent to 1.25 inches. Among the given options, 1.375 in is the closest measurement.
The measurement 1/2 in is equivalent to 0.5 inches. Among the given options, 0.4375 in is the closest measurement. This is because 1/2 in can also be represented as 8/16 in, and 0.4375 in is the equivalent in decimal form.

In each case, Juan should choose the measurement that is closest to the specified size in the manual to ensure he gets the appropriate materials for the job.

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Final answer:

Juan should request the measurements 0.5 in, 1.125 in, and 1.25 in from the manual.

Explanation:

To determine which measurements Juan should request, we need to compare the measurements he needs with the ones available in the manual. The measurements he needs are 1 1/8 in, 1 1/4 in, and 1/2 in. From the given options, the available measurements in the manual are 0.5 in, 1.125 in, and 1.25 in. Therefore, Juan should request the measurements 0.5 in, 1.125 in, and 1.25 in from the manual.

Learn more about Estructuras Metálicas here:

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In △ABC, m∠A=72°, c=61, and m∠B=16°. Find the perimeter of the triangle.

Answers

The perimeter of the triangle is about 136

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

There are several trigonometric identities that need to be recalled, i.e.

$cosec ~ A = (1)/(sin ~ A)$

$sec ~ A = (1)/(cos ~ A)$

$cot ~ A = (1)/(tan ~ A)$

$tan ~ A = (sin ~ A)/(cos ~ A)$

Let us now tackle the problem!

This problem is about Sine Rule.

First of all, we will calculate the ∠C :

∠A + ∠B + ∠C = 180°

72° + 16° + ∠C = 180°

∠C = 180° - 72° - 16°

∠C = 92°

Next, we will use the Sine Rule to find the length of the other side of the triangle.

$(c)/(\sin \angle C) = (b)/(\sin \angle B)$

$(61)/(\sin 92^o) = (b)/(\sin 16^o)$

$b \approx \boxed {16.82}$

$(c)/(\sin \angle C) = (a)/(\sin \angle A)$

$(61)/(\sin 92^o) = (a)/(\sin 72^o)$

$a \approx \boxed {58.05}$

Finally, we can find the perimeter of a triangle with the following formula

$\text{Perimeter of the triangle} = a + b + c$

$\text{Perimeter of the triangle} = 58.05 + 16.82 + 61$

$\text{Perimeter of the triangle} \approx \boxed {136}$

Learn more

Calculate Angle in Triangle : brainly.com/question/12438587
Periodic Functions and Trigonometry : brainly.com/question/9718382
Trigonometry Formula : brainly.com/question/12668178

Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse

Answer:

136

Step-by-step explanation:

The difference between a number divided by 3 and 4 is 20

Answers

Set the number to x.

$(x)/(3)-(x)/(4)=20$
$(4x)/(12)-(3x)/(12)=20$
$(x)/(12)=20$
$x=240$

Thus, the number is 240.

42 divided by 6 in repeated subtraction

Answers

42 - 6 = 36 - 136 - 6 = 30 - 230 - 6 = 24 - 324 - 6 = 18 - 418 - 6 = 12 - 512 - 6 = 6 - 66 - 6 = 0 - 742/6 = 7

42-6=36
36-6=30
30-6=24
24-6=18
18-6=12
12-6=6
6-6=0

To make purple paint, Mya mixed 2/5 cup of red paint with 5/8 cup of blue paint. She wants to make a larger batch of the purple paint. How much red paint is needed to mix one cup of blue paint?

Answers

Answer: so i need 10/15 cups of red paint

Step-by-step explanation: 2/5 x 8/5 = 16/25

2/5 -----> 1

10/25 -----> 8/5

1 ÷ 5/8 = 8/5

What is the fraction of 3\4 of 28

Answers

If you are trying to find 3/4 of 28, multiply 3/4 (or 0.75( by 28), which equals 21.

3/4 • 28 = 21

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