you are building a 3-foot tall chest. you want the volume to be 60 cubic feet. what should the area of the base be

Answers

Answer 1

Answer:

You want the area of the base to equal 20 ft^2

Step-by-step explanation:

Volume of a cube= (L)(w)(h)

Area of base = (L)(W)

60 cubic feet is the volume we are trying to acheive. Since the volume for a cube is (L)(w)(h), 3 needs to multiply by the area of the base to equal the volume. since 3 times 20 equals 60(You solve this by dividing 60 by 3) the base needs to equal 20ft^2.


Related Questions

Solve this problem
Step by step

Answers

Answer:

x = 11.2

Step-by-step explanation:

We know that the second triangle is just a smaller scale of the bigger triangle.

So, first, we take

28 divided by 25 = 1.12

Then we take

10 times 1.12 = 11.2

So, x = 11.2

look at picture please

Answers

The equivalent trigonometric identity to cot²θ + 1 is cot²θsec²θ

What are trigonometric identities?

Trigonometric identities are equations which contain the trigonometric ratios.

How to show the equivalent identity of cot²θ + 1?

Since we have the trigonometric identity cot²θ + 1,we need to find its equivalent expression.

So, we proceed as follows

Since cot²θ + 1 = 1/tan²θ + 1     (since cot²θ = 1/tan²θ)

Now taking the L.C.M, we have that

1/tan²θ + 1 = (1 + tan²θ)/tan²θ

We know that the trigonometric identity 1 + tan²θ = sec²θ

So, substituting this into the equation, we have that

(1 + tan²θ)/tan²θ =  sec²θ/tan²θ

Since cot²θ = 1/tan²θ, substituting the values of the variables into the equation, we have that

sec²θ/tan²θ = cot²θsec²θ

So, cot²θ + 1 = cot²θsec²θ

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Need some help with these trigonometry questions

Answers

Answer: 11, 23, 166

Step-by-step explanation:

Hiya! From the drawings, I'm assuming all of the triangles are right-angled triangles. If they aren't though, tell me and I'll tell you how to solve them.

Anyways, assuming they are right angled-triangles, you can use Pythagoras' Theorem (aka a² + b² = c²)

c is the hypotenuse or the side opposite the right angle.

a and b are just the other two sides (doesn't really matter which is which)

Question 7:

c² = a² + b²

12² = a² + 5²

144 = a² + 25

144 - 25 = a²

119 = a²

a = 10.908712114635714411502154487373

(To the nearest whole number: 11)

Question 8:

c² = a² + b²

24² = 7² + b²

576 = 49 + b²

576 - 49 = b²

527 = b²

b = 22.956480566497992703585747092065

(To the nearest whole number: 23)

Question 9:

c² = a² + b²

c² = 90² + 140²

c² = 8,100 + 19,600

c² = 27,700

c = 166.43316977093238068928214785346

(To the nearest whole number: 166)

Hoped this helped! Tell me if there's something you don't understand. :)

ACB=67 degrees find BCD

Answers

Answer:

23°

Step-by-step explanation:

Since ACB is a right angle, the two angles ACB and BCD add up to 90°

just subtract 67 from 90 and bam 23

If the following system has a solution, what is the
x − coordinate of the solution?
4x + 8y = 60
x + 8y = 30

a. 6
b. 10
c. 618
d. 730
e. the system has no solution

Answers

for this equation i got no solution so it’s e

Hi I really need help on this question please

Answers

Answer:

Step-by-step explanation:

The Terrific Tostada is a popular restaurant for churros and fried ice cream desserts. Last week, 1,125 diners ordered churros or fried ice cream. There were 4 times as many orders for churros as fried ice cream.
How many diners ordered churros last week?

Answers

Answer:

900

Step-by-step explanation:

4F + F =1125

5F = 1125

F=225

C=4F

C=4(225)=900

900 + 225=1125

ANSWER PLEASE ILL GIVE BRAINLEST

Answers

okay !! what’s the question ?

Answer:

what is your question? you have not attached anything.

Step-by-step explanation:

The area of a square garden is 900 square feet. What is the length of one side of the garden? A 450 ft C 225 ft B 300 ft D 30 ft​

Answers

Answer:

[tex]\boxed {\boxed {\sf D. \ 30 \ feet}}[/tex]

Step-by-step explanation:

The area of a square is found by multiplying the base and the height, but since all the sides are equal, it is equal to multiplying a side by another side.

[tex]a=s*s[/tex]

[tex]a=s^2[/tex]

We know the square garden has an area of 900 square feet. We can substitute this value in for a.

[tex]900 \ ft^2=s^2[/tex]

Since we are solving for the side, we have to isolate the variable s. It is being squared. The inverse of a square is the square root, so we take the square root of both sides.

[tex]\sqrt {900 \ ft^2}= \sqrt{s^2}[/tex]

[tex]\sqrt {900 \ ft^2}=s \\[/tex]

[tex]30 \ ft=s[/tex]

One side of the garden is equal to 30 feet and choice D is correct.

Step-by-step explanation:

Area of square garden=a^2

ATQ

a^2=900 sq.feet

➝a=√900

➝a=30feets

Correct option-D

At a banquet hall there are 25 tables that seat 4 people and 30 tables that seat 6 people. There are no other tables in the banquet hall. What is the ratio of the number of tables that seat 4 people to the total number of tables in the banquet hall?​

Answers

Answer:

1:11

Step-by-step explanation:

We know

There are 25 tables that seat 4 people

First, we find the total number of tables by taking

25 + 30 = 55 tables

Then we find the ratio of tables that seat 4 people to the total number of tables by

5 / 55 = 1/11 = 1:11

So, the ratio is 1:11

PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.

Answers

I don’t know fam sorry

Find the equation of the line that passes through (1,2) and is perpendicular to y=2x+3. Leave your answer in the form y=mx+c

Answers

Answer:

y = -1/2x + 5/2

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(1) + b

To find b, multiply the slope and the input of x (1)

2 = -1/2 + b

Now, add 1/2 to both sides to isolate b.

5/2 = b

Plug this into your standard equation.

y = -1/2x + 5/2

This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)

Hope this helps!

7th grade math for easy points

Answers

Answer:

8

Step-by-step explanation:

8*8*8 = 512

or

8³ = 512

or

just punch it in a calculator

What is the example of zero polynomial?

Answers

A polynomial in which the degrees of all the variables is 0 is called a zero degree polynomial .

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

For example- 6 x 0 , − 9 a 0.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division .

Degree of polynomial

The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial .

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Which graph represents-3x - 4y ≤ 2?

Answers

Answer:

B

Step-by-step explanation:

help me with this math problem​
no h and j

Answers

Answer:

f. 4h (greater than or equal to) 18

Step-by-step explanation:

hope this helps :)

ASAP help me out plz

Answers

Answer:

109.30

Step-by-step explanation:

The list below shows the shoe size for eight students in Mr.perdio’s class 13,12,9.5, 10.5,12,11,12,8

Answers

What’s the question?

Multiply -3x(4x - 5)

Answers

Hopes this helps if right please mark as brainlist:

Answer: -12x^2 + 15x

Answer:

-12x^2+15x

Step-by-step explanation:

-3x(4x-5)

Distributive property:

-3x*4x-(-3x)*5

-3*4x^2+3*5x

Simplify:

-12x^2+15x

PLS HELP PLS ILL MARK BRAINLIEST

Answers

Answer:

1

Step-by-step explanation:

how would you read absolute value -5

Answers

Answer:

-5 = |5|

Step-by-step explanation:

Absolute value is the number of distance from zero. Therefore, it doesn't matter if the number is positive or negative in absolute value it is always positive.

Every tread of a staircase is 8 in.​ deep, and every riser is 6 in. high. How would you find the angle the staircase makes with the​ floor? Explain.

Answers

Answer:

  36.9°

Step-by-step explanation:

You want to know the pitch angle of a staircase with a riser height of 6 inches and a tread depth of 8 inches.

Tangent

The tangent of an angle is the ratio of the side opposite to the side adjacent:

  Tan = Opposite/Adjacent

Application

The tangent of the staircase angle to the floor will be the ratio of the riser height to the tread depth:

  tan(α) = (6 in)/(8 in) = 3/4

The angle is found using the inverse tangent function.

  α = arctan(3/4) ≈ 36.9°

__

Additional comment

You need to be a little bit careful here. Different authors define "tread depth" differently. For the purpose of this question, it must be defined as the horizontal distance between corresponding points on adjacent treads, as shown in the attached illustration.

Some authors define tread depth as the distance from the nosing to the riser. If that definition is used, the "run" of the step will be the tread depth less the nosing depth. The pitch angle will be the arctangent of the ratio of riser height to "run".

The tread depth of 8 inches is a little too narrow to be in compliance with some building codes. A more usual minimum is about 10 inches with a riser height of 7 1/2 inches.

Answer:

0.75 tangent 0.75

Step-by-step explanation:

Which two lines have the same slope

Answers

Answer: B

Step-by-step explanation: These lines are parallel. If you count over then down from point to point, then the slope for both lines is negative since it is going down, the slop is -2/1

What is the midpoint of the x-intercepts?

Answers

The midpoint of the x-intercept is (0,0).

By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the occurs when the x value is 0. Y = B when x = 0, since mx y-intercept = 0 at this point.

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.

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a survey was given to people who own a certain type of car. what percent of the people surveyed were completed satisfaction with the car?

Answers

The percent of the people surveyed who were completed satisfaction with the car will be 48%.

How to calculate the percentage?

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100. The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %.

In this case, a survey was given to people who own a certain type of car. 24 out of 50 stated that they were satisfied with the car.

The percent of the people surveyed were completed satisfaction with the car will be:

= 24 / 50 × 100

= 48%

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Complete question

A survey was given to people who own a certain type of car. 24 out of 50 stated that they were satisfied with the car. what percent of the people surveyed were completed satisfaction with the car?

which number is the greatest
-5/3
-5/2
-7/3​

Answers

-5/3 is the greatest

Answer:

-5/3 would be the greatest.

because 5/3= -1.66666666667

A 20-gallon bathtub is to be filled with water that is exactly 100°F. The hot water supply is 175°F and the cold water supply is 20°F. When mixed, the temperature will be a weighted average based on the amount of each water source in the mix. How much of each should be used to fill the tub as specified?

Answers

320/31 gallons of hot water and 300/31 gallons of cold water are needed.

Here we are required to fill a 20-gallon bathtub and the water should be precisely 100° F.

It is given that hot water has a temperature of 175° F and cold water has a temperature of 20° F.

Let the amount of hot water used be x gallons.

Let the amount of cold water used be y gallons.

Since the bathtub has a capacity of 20 gallons,

x + y = 20                                                                                  [1]

or, y = 20 - x                                                                             [2]

The temperature after the water is mixed will be a weighted average of the temperature and amt of water used.

Hence we get,

(175x + 20y) / (x + y) = 100

from equation [1] we get

175x + 20y = 2000                                                                   [3]

from equations [2] and [3] we get

155x - 400 = 2000

or, x = 1600/155 = 320/31                                                        [4]

Similarly,

y = 20 - 320/31

= 300/31

Hence 320/31 gallons of hot water and 300/31 gallons of cold water are needed.

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What are the intercepts of y 2x + 6?​

Answers

Answer:

(-3,0) (0,6)

hope this helps

(-3,0 (0,6)
Is the answer

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
juice to orange juice in its simplest form.

Answers

Answer:

1 : 2 :3

Step-by-step explanation:

1/4 apple juice

2/5 orange juice

1/4 - 2/5

20 - 40 /20 = 20/20

                    = 1

answer = 1 :2 : 3

The height of an equilateral triangular based prism is 30 cm. If the area of one base of the prism is 16√3 cm², find the area of the rectangular surfaces of the prism.​

Answers

The area of one base of the triangular prism is given as 16√3 square cm, and since the base is equilateral, the sides of the triangle are of equal length.

The formula to calculate the area of an equilateral triangle is (sqrt(3)/4) * s^2 where s is the length of a side of the triangle.

So, plugging in the given area of base, 16√3, we can find the length of a side of the equilateral triangle, s.

16√3 = (sqrt(3)/4) * s^2

s = (4*16√3)/sqrt(3) = 16√3 cm

Now we can use the height of the prism, which is given as 30 cm, to find the area of the rectangular surface.

Area of the rectangular surface = 2 * base area * height = 2 * 16√3 * 30 cm²

This simplifies to:

960√3 cm²

So the total area of the rectangular surface of the prism is 960√3 square cm.

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