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3 years ago

The base of a rectangular solid is 4ft. long and 3ft. wide. What is the volume of the solid if its diagonal is sqrt of 41 ft.?

1 answer:

8 0

The diagonal of the figure forms a right angle triangle with the diagonal of the base and the height of the figure.
Diagonal of base = √(3² + 4²)
= 5ft
Diagonal of solid² = Diagonal of base² + height²
height = √((√41)² + 5²)
height = 8.12 feet
Volume = width x length x height
Volume = 3 x 4 x 8.12
= 97.44 cubic feet

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Please Help Thank You So Much This is inequalities Knowing that 6 < x < 7 and 10 < y < 12, find all possible values

Trava [24]

Answer:

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Step-by-step explanation:

1) Solving by the Addition/Elimination Method. Firstly, let's reduce one variable by making some algebraic adjustments and then adding it up:

2) Solving by Substitution Method. Where y=x+2 is plugged in the 2nd equation.

3) Solving it, again, by the Substitution Method due to the I equation form:

4) By the Addition Method

5) To use the graph method to solve the system of Linear equations is possible by graphing each equation on the Cartesian Plane.

Check the graph below, this system has only one solution.

c)S={(0,3)}

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A) A) (0, 2)

7) Solving by Substitution Method:

8) Missing graph

Check the graph below its answer

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3 0

3 years ago

Read 2 more answers

5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in

astraxan [27]

Answer:

y = 72x

324miles

Step-by-step explanation:

Given parameters:

Speed of the car = 72miles/hr

distance = y

time = xhrs

Unknown:

Write a direct variation equation for the distance= ?

Distance covered in 4.5hrs =?

Solution:

A. Write a direct variation equation for the distance;

A direct variation is a linear equation.

It often takes the form y = kx

For this problem;

Distance = speed x time

input the parameters;

y = 72x

The direct variation equation is y = 72x

B. Distance traveled in 4.5hrs

y = 72x

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y = 72 x 4.5 = 324miles

3 0

3 years ago

F(x)=99, what is x?

Lady bird [3.3K]

The answer is x = 10, and it could alternatively be x = -10 depending on what topic this is and if negatives apply.

x^2 - 1 = 99
Add 1 to both sides.
x^2 = 100
Square root both sides
x = 10

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3 0

3 years ago

he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu

Papessa [141]

Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

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= $P(Z > - 1.13)$ Using $(Z = \frac{X - \nu }{\sigma })$

= 1 - $P(Z$

= 1 - .1292

= .8708

= 87.08%

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4 years ago

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Marta_Voda [28]

Answer and explanation:

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