Which expression represents the volume, in cubic units, of the composite figure?

Answer: B

Total surface area = 320 m^2

Step-by-step explanation:

The figure is a combination of a cuboid and pyramid.

The Surface Area of a Pyramid When all side faces are the same:

[Base Area] + 1/2 × Perimeter × [Slant Length]

Let us use pythagorean theorem to calculate the slant length

Slant length = root(6^2 + 4^2)

Slant length = 7.2 m

Base area = 8 × 8 = 64 m^2

Perimeter = 8+8+8+8 = 32 m

Surface area of the pyramid will be

= 64 + ( 1/2 × 32 ) × 7.2

= 64 + 16 × 7.2

= 64 + 115.4

= 179.4 m^2

The surface area of the cuboid will be

LB + LH + BH = 8×8 + 8×5 + 8×5

= 64 + 40 + 40

= 144 m^2

Total surface area = 179.4 + 144

Total surface area = 323.4 m^2

= 320 m^2 to the nearest whole number.

Answer:

Step-by-step explanation:

You need to use the Tangent

tan = opposite / adjacent

Rearrange formula to solve for opposite.

opposite = tan(angle) x adjacent

Answer:

0.524

Step-by-step explanation:

To find the probability that a student participates in school sports given that the student is a male, we use conditional probability. The probability is approximately 0.624.

To find the probability that a student participates in school sports given that the student is a male, we need to use conditional probability. Conditional probability is calculated by dividing the probability of two events happening together by the probability of the given condition.

Let's denote the event of a student participating in school sports as A and the event of a student being a male as B.

The probability of a student participating in school sports and being a male is given as 0.409. The probability of a student being a male is given as 0.654. Therefore, the conditional probability of a student participating in school sports given that the student is a male can be calculated as:

P(A|B) = P(A and B) / P(B)

P(A|B) = 0.409 / 0.654 ≈ 0.624

So, the probability that a student participating in the survey participates in school sports, given that the student is a male, is approximately 0.624.

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Answer:

Step-by-step explanation:

1%

Answer:

1% I think. I used a calculator but sometime my calculator doesn’t work.

Answer:

Its f,e,c

Step-by-step explanation:

Its correct because when u solve one side is 8x and the other is 16y

Answer:

the cost of the small package

Step-by-step explanation:

I hope this is correct. I'm sorry if it's not...

Answer:

its B

Step-by-step explanation:

Answer:

slope = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (1, - 2)

m = [tex]\frac{-2-4}{1+1}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Answer

Slope = -3

Step-by-step explanation:

do you need an explanation

Answer:

The answer is C

Step-by-step explanation:

There are 32 oz in a quart, 8 oz in a cup, and therefore 4 cups

in a quart. 4 cups(quart) X 8 quarts (Punch bowl)= 32  cups

Answer:

IV

Step-by-step explanation:

Since the cost is the same for weights in one interval, it will form a step function

Answer:

Step-by-step explanation:

The equation y = -3x - 1 represents a straight line with a slope of -3 and y-intercept of -1. The graph will be a line falling to the right and crossing the y-axis at -1.

The question asks which graph represents the equation y = -3x - 1. This is a linear equation, where the coefficient of 'x', -3 here, gives us the slope of the line, and the constant, -1 here, gives us the y-intercept. A slope of -3 means for each step of 1 increase in x, the value of y decreases by 3. The y-intercept is the point where the line intersects with the y-axis, in this case at y = -1.

A graph representing this equation will be a straight line with a slope of -3 (indicating the line falls as we move along the positive x-axis) and will cut the y-axis at y = -1.

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The box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D(The bottom option on the right end).

When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right

Since we need to find the box plot that has a lower quartile of 24 and an upper quartile of 42, therefore, we need to find a box plot whose rectangle starts at 24 and ends at 42, from left to right.

Hence, the box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D(The bottom option on the right end).

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Answer:

(x+2)^2 = 4

Step-by-step explanation:

x² + 4x = 0​

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2+4x+4 = 0+4

(x+4/2)^2 = 4

(x+2)^2 = 4

Answer:

E

Step-by-step explanation:

Answer:

the answers would be 2 and 6

Step-by-step explanation:when plotting points on a graph to wright where the point is you would use (x,y) x being the horizontal line on the graph and y being the vertical. In this case point A is located at (0,-4) because it is ) on the x-axis and -4 on the y-axis. point B is located at (-8,-7) because it is -8 on the x-axis and -7 on the y-axis.

Answer:

The width is 4

Step-by-step explanation:

If the length is 6 feet, minus 2 will be 4. Six times 4 is 24, which is the area of the afghan rug. We are multiplying 6 and 4 because it is length times width in rectangle area.

Mrs. Henson's rectangular afghan width will be 4 feet

It is the product of its length and width

How to solve this problem?

Length of afghan is 2 feet more than its width

∴ l = x+2

Area of rectangular afghan = 24 square feet

Area of rectangular afghan = lw

[tex]24=x(x+2)\\24=x^{2} +2x\\x^{2} +2x-24=0\\x^{2} -4x+6x-24=0\\(x-4)(x+6)=0\\x=4 or -6[/tex]

[tex]x=4feet[/tex]

So the width of rectangular afghan will be 4 feet

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Answer:

[tex] \sin A = \frac{3}{5} [/tex]

Answer:

His work is correct, easiest question in the world!LOL

Step-by-step explanation:

1+1= 2

Answer:

A) .1

B) .5

C) .7

D) .7

E) 1.2

F) 1.9

G) 3.2

H) 3.6

I) 4.4

Step-by-step explanation:

There are 10 dashes between each number so when you reach a whole number and have to go beyond that point, just count the dashes which will give you your whole number, if you have one, and your decimal.

Answer:

If you are looking for the vertex then the answer is (-3, 5)

Step-by-step explanation:

Hope this works

Answer:

0.01 or 1%

Step-by-step explanation:

Find the original value of the stock by adding the amount lost to the end value.

$67.32 + $0.68 = $68.00

You would then divide the end value by the original value.

$67.32 / $68.00 = 0.99

To find what percentage the stock declined by, you would subtract.

1.00 - 0.99 = 0.01

To convert 0.01 to a percentage, you would multiply it · 100 to get 1%.

Answer:

I believe that there is  3087 multiples of 5

Step-by-step explanation:

Answer:

5400

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

i got it right

Answer: 4% (or 4.1% when rounded to the nearest tenth or 4.08 % when rounded to the nearest hundredth)

Step-by-step explanation:

First, you would need to put it into a fraction.

You have [tex]\frac{996}{24400}[/tex].

When you divided it, you would get:

0.04081....

Then you have to multiply times 100 to get it into percent form. This gives you:

4.081%

Then, round as you please!

This is your answer!

The equation in slope-intercept form is y = -3x/4 + 3.

The y-intercept is 3.

The slope is -3/4.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided about this line, a linear equation that models it is given by;

y = mx + b

3x + 4y = 12

By making y the subject of formula, we have the following:

4y = -3x + 12

4y/4 = -3x/4 + 12/4

y = -3x/4 + 3

Therefore, the y-intercept is 3 and the slope is -3/4.

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Answer:

The value of the other two numbers is 31.01

Step-by-step explanation:

Let the two numbers equal to each other be x

One of the numbers is 22.8

The sum of three numbers is -39.22.

So, x+x+22.8=-39.22

2x+22.8=-39.22

2x=-39.22-22.8

2x=-62.02

[tex]x=\frac{-62.02}{2}[/tex]

x=-31.01

Hence the value of the other two numbers is 31.01

Answer:

0.6

Step-by-step explanation: