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3 years ago

10

Leo wants to paint a mural that covers a wall with an area of 400 square feet. They height of the wall is 1/4 of its length. Wha

t is the length and the height of the wall?
So, the dimensions (length by height) of the wall are ___ feet by ___ feet.

1 answer:

Leya [2.2K]3 years ago

3 0

The height of the wall is 100 feet

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What is the hight of a cone with a radius of 4 inches and of volume of 8 cubic inches? Round your Answer to the tenths place.

Scorpion4ik [409]

Answer:

0.48

Step-by-step explanation:

You use the formula V=πr2 h/3

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2 years ago

HARD BUT LOTS OF POINTS PLS HELP FIRST GET BRAINLIEST.<br><br> Find the area of the figure below.

viva [34]

Answer:

132

Step-by-step explanation:

the top rectangle is 28

the middle rectangle is 56

each of the triangles are 24

48+28+56

7 0

2 years ago

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Use the Laplace transform to solve differential equation

Inessa [10]

Using Laplace transform we have:L(x')+7L(x) = 5L(cos(2t))sL(x)-x(0) + 7L(x) = 5s/(s^2+4)(s+7)L(x)- 4 = 5s/(s^2+4)(s+7)L(x) = (5s - 4s^2 -16)/(s^2+4)
=> L(x) = -(4s^2 - 5s +16)/(s^2+4)(s+7)
now the boring part, using partial fractions we separate 1/(s^2+4)(s+7) that is:(7-s)/[53(s^2+4)] + 1/53(s+7). So:
L(x)= (1/53)[(-28s^2+4s^3-4s^2+35s-5s^2+5s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]L(x)= (1/53)[(4s^3 -37s^2 +40s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]
denoting T:= L^(-1)and x= (4/53) T(s^3/(s^2+4)) - (37/53)T(s^2/(s^2+4)) +(40/53) T(s^2+4)-(4/53) T(s^2/s+7) +(5/53)T(s/s+7) - (16/53) T(1/s+7)

4 0

3 years ago

An angle whose measure is _____ is rotated more than halfway around a circle

zaharov [31]

The correct answer is 60⁰.

Step-by-step explanation:

An angle whose measure is 60⁰ is rotated more than halfway around a circle.
Since, we have to find the measure of angle.
As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.

Considering that an angle is rotated more than halfway around a circle be $\frac{1}{6}$

Multiplying $\frac{1}{6}$ with 360⁰
Therefore, it can show as $\frac{1}{6}$ ×360⁰
Which gives the result to be 60⁰
Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
A single rotation around a circle is equal to 360 degrees.
The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.

4 0

3 years ago

Read 2 more answers

What three consecutive integers equal -87?

olchik [2.2K]

Answer:

What three consecutive integers have a sum of 87? Which means that the first number is 28, the second number is 28 + 1 and the third number is 28 + 2. Therefore, three consecutive integers that add up to 87 are 28, 29, and 30. We know our answer is correct because 28 + 29 + 30 equals 87 as displayed above.

Step-by-step explanation:

Consecutive integers are as simple as 1, 2, 3!

Integers are consecutive if one follows another. How do we "jump" from one integer to the next? We add 1, right? 7, 8 and 9 are three consecutive integers. Add one to 7 to get 8 and add one more to get 9.

Now lets think about this in algebraic terms. Lets name these consecutive integers , x, y and z.

The problem tells us that their sum is -87. (Recall, "sum" is just a fancy word for the answer when we add.)

x+y+z = -87

Here is the trick! We need to rewrite this equation so that we have only one variable. Easy!

y is one more that x, so y= x+1

And z is one more than y, so z= y+1. But y is also equal to (x+1)! So z=y+1=(x+1)+1=x+2

Now we have a problem that we can solve! x+(x+1)+(x+2)=-87.

Combining term.: 3x+3=-87

Subtract 3 from both sides of the equation: 3x=84

Divide each side of the equation by 3: x=28

We have solved for x, but we are not done! We need to find y and z. I know you can do this. Remember y is one more than x and z is one more than y.

Check your work! Make sure these three consecutive numbers do in fact add up to -87.

4 0

3 years ago