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3 years ago

The area of the top face of a cube is 49cm^3. What is the volume of th cube?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

3 0

Answer:

$V=2401cm^{3}$

Step-by-step explanation:

The fact that the figure is a cube means all sides, faces, and corners are equal.

$V=BHW$

$V=49cm^{2}(W)$

$V=49cm^{2}(49cm)\\ V=2401cm^{3}$

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A large box of jelly beans weighs 96.58 lb the jelly beans are evenly divided into 22 bags what is the weight in pounds of the j

Vadim26 [7]

Answer:

The weight in each bag is 4.39lb.

Step-by-step explanation:

To solve this, you simply need to divide 96.58 by 22. The reason you do this is so that way you can divide all of the weight into 22 bags.

96.58 ÷ 22 = 4.39

This means that the weight in each bag is 4.39lb.

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2 years ago

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

$y= -x^2 + 2x + 3$

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, $x=-\dfrac{b}{2a}$

$x=-\dfrac{2}{2*-1}\\x=1$

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

$y(1)= -1^2 + 2(1) + 3=-1+2+3=4m$

The maximum height of the diver is therefore 4 meters.

8 0

3 years ago

Metal A has a density of 12.7 g/cm3.

stira [4]

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

Learn more on Calculating density here: brainly.com/question/13986137

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1 year ago

The number of girls (G) taking French at Mesa High School is 3 more than twice the number of boys (B). A total of 141 students a

Leya [2.2K]

Answer: B - G-2B=3 B+G=141

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2 years ago

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Solve. −3 2/3x=−2 1/5 What is the solution to the equation? Enter your answer as a simplified fraction in the box. x =

Artyom0805 [142]

Answer:

i think it is: x=3/5

Step-by-step explanation:

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2 years ago

The area of the top face of a cube is 49cm^3. What is the volume of th cube?​

The area of the top face of a cube is 49cm^3. What is the volume of th cube?