An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square foot and a height of 1/3 foot. How much packing material is required to fill the box?a. 3/10 ft^3
b. 1/10 ft^3
c. 1/3 ft^3
d. 2/3 ft^3

Answers

Answer 1

Answer:

The total amount of packing material required to fill the box is 3/10 cubic feet and this can be determined by using the formula of the volume.

Given :

An empty box is shaped like a rectangular prism.
The box has a base area of 9/10 square feet and a height of 1/3 feet.

The following steps can be used in order to determine the total amount of packing material required to fill the box:

Step 1 - The formula of the volume can be used in order to determine the total amount of packing material required to fill the box.

Step 2 - The formula of the volume of the box is given below:

$V = A * H$

where A is the area of the box and H is the height of the box.

Step 3 - Now, substitute the values of A and H in the above expression.

$V = (9)/(10) * (1)/(3)$

$V = (3)/(10)\;{\rm ft^3}$

Therefore, the correct option is a).

For more information, refer to the link given below:

brainly.com/question/25834626

Answer 2

Answer: Since we already know the base area, we simply have to multiply it by the height to get the volume of the box (how much packing material it can contain)

9/10 x 1/3

9 x 1 = 3
10 3 10 (I cancelled the 9 and 3 and made them 3 and 1 respectively)
The answer is 3/10 ft³

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A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds:f(t) = −16t^2 + 48t + 100

The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.

Answers

$f(x)=-16t^(2) +48t+100$
Average rate of change from t = 3 to t = 5 = $(f(5)-f(3))/(5-3)= (( -16(5^(2))+48(5)+100)-(-16(3^(2))+48(3)+100))/(2)= ((-16(25)+240+100)-(-16(9)+144+100))/(2)=((-400+240+100)-(-144+144+100))/(2)= (-60-100)/(2)=$ $(-160)/(2)=-80$

Evaluate b^2 + 5a – 20

Answers

Answer: it cant even be factored

Step-by-step explanation:

1. Name two angles that are supplementary to ∠DOE.2. Name a pair of complementary angles.
3. Name two pairs of vertical angles.

Answers

Two angles, namely ∠AOE and ∠COD, are supplementary to angle ∠DOE.

A pair of complementary angles consists of angles ∠BOC and ∠COD.

Two pairs of vertical angles are ∠AOE and ∠COD.

What are supplementary angles

When two angles are supplementary, it means that the sum of their measures is 180 degrees.

In this case, the angles ∠AOE and ∠COD are stated to be supplementary to angle ∠DOE. This implies that if you were to add the measures of ∠AOE and ∠COD together, their sum would be 180 degrees, which is the definition of supplementary angles.

Complementary angles are angles whose measures add up to 90 degrees. In the statement, the angles ∠BOC and ∠COD are identified as forming a pair of complementary angles.

Vertical angles are a pair of non-adjacent angles formed by intersecting lines. In the statement, the pairs of vertical angles are given as ∠AOE and ∠COD.

Learn more about Complementary angles

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Answer:

explain please and thank you

Which value of K will make x^2-1/4x+k a perfect square trinomial?

Answers

For this case we have the following polynomial:
$x^2 - (1)/(4)x + k$
We suppose that we have a standard equation of the form:
$ax ^ 2 + bx + c$
To make a perfect square trinomial, we need to complete the square.
Therefore, the value of c is:
$c = ((b)/(2))^2$
Using this definition for this case, we have:
$k = (((-1)/(4))/(2))^2$
$k= ( (-1)/(8) )^2$
$k = (1)/(64)$
Therefore, the perfect square trinomial is:
$x^2 - (1)/(4)x + (1)/(64)$
Answer:
The value of k is:
$k = (1)/(64)$

1/64, because (-1/4)/2 is -1/8, and -1/8 ^2 is 1/64

What is the circumference of the following circle?
use 3.14 for pi for your answer
r=1

Answers

Answer: 6.28 units

Step-by-step explanation:

The circumference of a circle can be found with the formula C = 2πr where r is the radius. Here, we are given the radius and a different value for π (pi).

Given:

C = 2πr

Substitute given values:

C = 2(3.14)(1)

Multiply:

C = 6.28 units

The circumference of the given circle is 6.28 units.

Could someone help me understand how to solve questions like these? Thank you!

Answers

Answer:

$y=-(1)/(4)x+(5)/(4)$

Step-by-step explanation:

You solve a question like this by finding the slope and intercept of the desired line and putting those values into the answer form.

The relationship between slopes of perpendicular lines is that one is the negative reciprocal of the other.

The slope-intercept form of the equation for a line is ...

y = mx + b . . . . . . where m is the slope and b is the y-intercept

The given line is in "slope-intercept form," so you can identify the slope as 4 and the y-intercept as 6. (For this question, the y-intercept of the given line is irrelevant.)

Using the relationship between slopes of perpendicular lines, you now know the slope of the line you want is m = -1/(slope of given line) = -1/4. This is the coefficient of x in the slope-intercept form, so fills the blanks on the left.

To make the line go through the point (1, 1), you need to choose a y-intercept that makes (x, y) = (1, 1) a solution to the equation. For a y-intercept of "b", that means ...

y = -1/4x + b

1 = -1/4·1 + b . . . . . . . . fill in the values of x and y at the given point

1 + 1/4 = b = 5/4 . . . . . add 1/4 to both sides of the equation

Now you know the equation you want is ...

$y=-(1)/(4)x+(5)/(4)$

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