Find the volume of each composite figure to the nearest whole number.

Answers

Answer 1

The volume of the composite figure in this problem is given as follows:

76 ft³.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

2 ft, 6 ft and 3 ft.2 ft, 4 ft and 8 - 3 = 5 ft.

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

A similar problem about the volume of rectangular prisms is presented at brainly.com/question/22070273

#SPJ1

Related Questions

What is the total weight of the bags that weighed /8 pound each?

Answers

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

How to obtain the total weight?

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

What is the total weight of the bags that weighed /8 pound each?

Simplify sq rt of -144

Answers

Answer:

12i

Step-by-step explanation:

sqrt(-1) = i, sqrt(144) = 12

Help help math math help

Answers

the answer to your problem is 16/15

The answer that fits the box: 1 1/15

What is the area of the square that measures 3.1 m on each side

Answers

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

Can you explain to me how did we get the answer

Answers

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

${}$ y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

${}$ y → -∞ as x → ∞

What is the end behavior of a a polynomial?

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

Learn more on the end behavior of polynomials here: https://brainly.com/question/8245713

#SPJ1

The high temperatures for several days are shown in the table. Which answer describes the average rate of change from day 3 to day 5?

Responses

The high temperature changed by an average of −6 degrees per day from day 3 to day 5.
The high temperature changed by an average of −2 degrees per day from day 3 to day 5.
The high temperature changed by an average of −4 degrees per day from day 3 to day 5.
The high temperature changed by an average of −3 degrees per day from day 3 to day 5.

Answers

"From days 3 to 5, the high temperature changed by an average of almost 4 degrees per day," is the appropriate answer.

How to determine the average rate of change?

We can determine the average rate of change from day 3 to day 5 by splitting the difference in high temperature between those two days by the distance between them (which is 2), or 2.

The highest temps on Day 3 was 85°F.

The highest temperature on Day 5 was 77°F.

Extreme temperature variation: 77°F to 85°F equals -8°F

Between day three and day five, there are two days.

(Change in maximum temperature) / (number of days) yields an average rate of change of -8°F / 2°F per day.

This leads to the conclusion that the right response is "The high temperature changed by an average of 4 degrees per day from day 3 to day 5".

To know more about average rate visit:

brainly.com/question/23715190

#SPJ9

Helpshshdhdgdghseyeydgd

Answers

Answer:

To round 17.126 to the nearest tenth consider the hundredths’ value of 17.126, which is 2 and less than 5. Therefore, the tenths value of 17.126 remains 1.

17.126 rounded to the nearest tenth = 17.1

The following table contains starting numbers close to 17.126 rounded to the nearest 10th.

Which graph represents the function f(x) = |x + 31?
O
5-
3
2-
vou
4-
-6-5-4-3-2-1₁.
-2-
-3+
-4-
கள்
-61
CÒ
2 3 4 5
+
X
x

Which graph represents the function f(x) = |x + 31?O5-32-vou4--6-5-4-3-2-1.-2--3+-4--61C2 3 4 5+Xx

Answers

The solution is, the equation of the line is y = 2x/3 + 2, that is, The correct option is A.

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept(This is the point where the line cut across the y axis.

The first step is to find the slope. The formula is

Slope, m = (y2 - y1)/(x2 - x1)

From the given points on the graph,

when x1 = 0, y1 = 2

when x2 = 3, y2 = 4

m = (4 - 2)/(3 - 0)

m = 2/3

Looking at the graph, at the point where the line cuts the y axis, y = 2. Thus, c = 2

We would substitute m = 2/3 and c = 2 into the slope intercept equation. Thus, the equation of the line is

y = 2x/3 + 2

The correct option is A.

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ1

-6. Given: 9w2 – 8w +6w4 – 5a) Write the polynomial in descending order.b) What is the degree of the polynomial?c) What is the leading coefficient?d) What is the coefficient of w?e) Evaluate the expression if w=2.

Answers

Given:

$9w^2-8w+6w^4-5$

We need to write the polynomial in descending order.

Recall that descending order is basically when the power of a term decreases for each succeeding term.

The power of w decreasing from 4 to 0 is the descending order

Answer:

$6w^4+9w^2-8w-5$

We need to find the degree of the polynomial.

Recall that the degree of the polynomial is the greatest power of the variable.

The variable of the given polynomial is w.

The greatest power of the variable w in the given polynomial is 4.

Answer:

The degree of the polynomial is 4.

We need to find the leading coefficient.

Recall that the leading coefficient is the coefficient of the term of the highest degree in a given polynomial.

The highest degree in a given polynomial is 4.

$\text{ The term of the highest degree in a given polynomial }6w^4.$

The coefficient of the term of the highest degree in a given polynomial is 6.

Answer:

The leading coefficient is 6.

We need to find the coefficient of w.

Recall that the coefficient of w is the number multiplied by the variable.

In the given polynomial w is multiplied by -8.

Answer:

The coefficient of w is -8.

We need to evaluate the expression if w=2.

Substitute w=2 in the given polynomial.

$9(2)^2-8(2)+6(2)^4-5$

$=9(4)-8(2)+6(16)-5$

$=36-16+96-5$

$=111$

Answer:

The given expression is 111 if w =2.

Assuming that $y\neq 1/2,$ simplify the expression$$\dfrac{12y^3-6y^2}{2y-1}.$$
Please help this is due soon

Answers

Given:

The expression is

$\dfrac{12y^3-6y^2}{2y-1}$, where $y\neq \dfrac{1}{2}$.

To find:

The simplified form of the given expression.

Solution:

We have,

$\dfrac{12y^3-6y^2}{2y-1}$

Taking out the common factors from the numerator, we get

$\dfrac{12y^3-6y^2}{2y-1}=\dfrac{6y^2(2y-1)}{2y-1}$

Cancel out the common factors from numerator and denominator.

$\dfrac{12y^3-6y^2}{2y-1}=6y^2$

Therefore, the simplified form of the given expression is $6y^2$.

A deli sandwich shop is offering either a ham or turkey sandwich, either tomato or vegetable soup, and either coffee or milk for their lunch special. What is the probability that a customer will choose vegetable soup as part of the chosen combination?

Answers

Answer:

Ok, the first step is to count all the possible selections that we have and the number of options in each selection:

1) Sandwich: 2 options, ham or turkey.

2) Soup, 2 options, tomato or vegetable.

3) Drink, 2 options, coffee or milk.

(i assume that the sandwich and the soup are separated selections)

Now, if the customer chooses at random, the probability that in one given selection he selects a given outcome is equal to the number of options that match the outcome divided by the total number of options for that selection.

Then in the soup selection we have: options that match the outcome (one, is the vegetable soup). Total number of options = 2.

Then the probability is:

P = 1/2 = 0.5

or 0.5*100% = 50% in percentage form.

Answer:

1/2

Step-by-step explanation:

What is the distance between point C and point D?

Question 5 options:

A)

17 units

B)

13 units

C)

12 units

D)

√85 units

Answers

Answer:

B. 13 units

Step-by-step explanation:

let

(x1 , y1) = (-4 , -6)

(x2 , y2) = (1 , 6)

distance between CD = root (x2 - x1)^3 + (y2 - y1)

= root {1 - ( -4)}^2 + {6 - ( -6)}^2

= root {1 +4}^2 + {6+6}^2

= root 5^2 + 12^2

= root 25 + 144

= root 169

= 13 units ans

12 units is the answer for ur question

Pls I need answer in questions

Answers

Answer:

Top Right: 26

Bottom Right: 16

Top Left: 36

Bottom Left: 20

Center: 26

Step-by-step explanation:

TR: 5 + 3 + 12 + 6 = 26

BR: 2 + 2 + 4 + 5 + 3 = 16

TL: 14 + 10 + 8 + 3 + 1 = 36

BL: 6 + 6 + 2 + 2 + 2 + 2 = 20

Center: 2 + 2 + 8 + 8 + 6 = 26

You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4

You might need: CalculatorZA=Round your answer to the nearest hundredth.MY?ProPro6TeaB4

Answers

∠A = 41.81°

Explanation:

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

$A=sin^{-1}(0.6667)$

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

Julie deposits $3,300 into an account that earns 3¾% interest compounded monthly. How much interest will she earn in 1 month? What will her new balance be?

Answers

At compound interest, the amount in the account will be:

$Amount\: at\: Compound\: Interest=P(1+\frac{r}{n})^{nt}$

Principal, P=$3,300

Interest rate = 3¾% =0.0375

Time = 1 month

Therefore, the amount in her account after a month will be:

$\begin{gathered} =3300(1+\frac{0.0375}{12})^1 \\ =3300(1+0.003125)^1 \\ =3300(1.003125)^1 \\ =\$3310.31 \end{gathered}$

• Her new balance =$3310.31

The amount of interest earned in 1 month = $3310.31 -3300 =$10.31

a group fitness classifies it's fitness class attendees by class type and member status the marketing team has gathered data from a random month In which there were 2065 class attendees (see uploaded picture)

Answers

Given the data of the table, we must find the probability that a class attendee:

• A = is a non-member of the gym and is attending a barre class,

• or B = is a member of the gym and is attending a yoga class.

The total probability is the sum of the probabilities of each event:

$P=P(A)+P(B)\text{.}$

The probability of event A is given by:

$P(A)=\frac{\#\text{non}-\text{members that goes to barre class}}{\#\text{total attendes }}=\frac{282}{2065}\cong0.1366.$

The probability of event B is given by:

$P(A)=\frac{\#\text{members that goes to yoga class}}{\#\text{total attendes }}=\frac{209}{2065}\cong0.1012.$

So the total probability is:

$P\cong0.1366+0.1012=0.2378.$

Answer

The probability is 0.2378.

The shape below is drawn on a square grid.
Which special names can be applied to this shape?
Choose all that apply.
A. Equilateral triangle
soscelesngle
Scalene thgle.
D. Right-angled triangle.
Please answer this urgent

Answers

the answer is A... hope i helped

Answer:

The answer is b

Step-by-step explanation:

Determine the solution to the system of equations
x - 6y + 4z = -12
x + y = 0
2x + 2y = 0

Answers

Answer:

x = 0 , y = 0 , z = -3

Step-by-step explanation:

Solve the following system:

{x - 6 y + 4 z = -12 | (equation 1)

x + y - 4 z = 12 | (equation 2)

2 x + 2 y + 5 z = -15 | (equation 3)

Swap equation 1 with equation 3: