33) Find the volume of the triangular pyramid to the nearest whole number.
A) 72 units3
B) 96 units3
C) 144 units3
D) 288 units3

Answer:

960 in^3

Step-by-step explanation:

Multiply the base by the height

Base: (12*8)/2=48

Height: 20

The volume of a triangular prism is the area of the base multiplied by the height.

Let's first identify our values:

20 in = height of prism

12 in = base of triangle

8 in = height of triangle

First, we need to calculate the area of the triangle. To calculate the area of the triangle, we multiply the base of the triangle by the height of the triangle. In this case, the base is 12 and the height is 8 so 12 × 8 = 96 and then we divide 96 by 2 and we will get a quotient of 48.

Finally, we will multiply the area of the triangle which is 48 by 20.

48 × 20 = 960[tex]in^{2}[/tex].

Answer: 1/8, 20%, 1/4, .31, 32%.  

Answer:

[tex]\large\boxed{The\ slope\ m=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\text{The slope}\ m=\dfrac{rise}{run}\\\\\text{We have}\ riese=8\ \text{and}\ run=12.\ \text{Substitute:}\\\\m=\dfrac{8}{12}=\dfrac{8:4}{12:4}=\dfrac{2}{3}[/tex]

Answer:

The Slope is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Slope is calculated by the formula [tex]m=\frac{rise}{run} \\[/tex]

Here the rise = 8 ad the run = 12. So the slope can be calculated as

[tex]m = \frac{rise}{run} = \frac{8}{12} = \frac{2}{3}\\[/tex]

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Answer:

Step-by-step explanation: Before we start, we want to find out the volume of a cone. Since we know it's [tex]v = \pi r^2\frac{h}{3}[/tex]

Plugging in the numbers and solving, we get: [tex]v = 404.48[/tex]

Answer: [tex] (8)^2\pi\ feet^2[/tex]

or

[tex]64\pi \ feet ^2[/tex]

Step-by-step explanation:

We are given that the diameter of a circle = 16 feet

Then the radius of the circle = [tex]r=\dfrac{d}{2}=\dfrac{16}{2}=\ 8 feet[/tex]

Also, the area of a circle is given by :_

[tex]A=\pi r^2[/tex] , where r is radius of the circle .

For r = 8 feet

The area of the circle = [tex]\pi (8)^2=\pi (64)=64\pi \ feet ^2[/tex]

Hence, the expression that gives its area in square feet =

[tex] (8)^2\pi \ feet^2[/tex]

or

[tex]64\pi \ feet ^2[/tex]

Answer:

Option A. [tex]390\ m[/tex]

Step-by-step explanation:

we know that

To find how far Stephen walk, calculate the perimeter of the block

Remember that

The perimeter of rectangle (block) is equal to

[tex]P=2(L+W)[/tex]

we have

[tex]L=80\ m[/tex]

[tex]W=115\ m[/tex]

substitute the values

[tex]P=2(80+115)=390\ m[/tex]

Answer:

i think it is adventure

Step-by-step explanation:

your welcome

X = 21.3333333333..... Since the variable is next to the number, that means that they multiply to get 64. So to find x you need to divide 64 by 3.

3225.36

Step-by-step explanation:

Answer:

9x+9

Step-by-step explanation

Combine like terms (6x and 3x, 2 and 7)

There are an infinite number of expressions that are equivalent to it.  A few of them are:

--  3(2x + x + 3)

--  (9x + 9)

--  3(3x + 3)

--  9(x + 1)

--  (18x + 18) / 2

--  3√(x² + 6x + 9)

Without seeing the list of choices that you neglected to post along with the rest of the question, it's not possible for us to guide you to the correct choice.

Answer:

[tex]\large\boxed{(-5x^2-3x-7)+(-2x^3+6x^2-8)=-2x^3+x^2-3x-15}[/tex]

Step-by-step explanation:

[tex](-5x^2-3x-7)+(-2x^3+6x^2-8)\\\\=-5x^2-3x-7-2x^3+6x^2-8\qquad\text{combine like terms}\\\\=-2x^3+(-5x^2+6x^2)-3x+(-7-8)\\\\=-2x^3+x^2-3x-15[/tex]

Answer: 6.3

Step-by-step explanation

I did this today and it's easy but you have to show a lot of work well I did but you don't have to you can just circle it in

The formula for percent error is (M-A)/A X 100

M= the amount of the sample measured

A= the exact amount of the sample

so, 2.75-2.699=0.51/cm3

051/2.699=.01889

.01889 x 100=1.9% :)))

Answer:

The answer is 6.6

Step-by-step explanation:

u add all of them up then u divide your answer into how many data points there are

Answer:

7, and 7√2

Step-by-step explanation:

The angle ratios are 1.5 : 1.5 : 3, so there are

1.5 + 1.5 + 3 = 6 total parts.  There are 180° in a triangle, so we have

6x = 180

  x = 30

Each part is 30°,

1.5 becomes 45°  (30 plus half of 30)

3 becomes 90°

There are 2 angles with a ratio of 1.5, so we have a 45° - 45° - 90° triangle.  

The side opposite the smallest angle is 7, there are angels with the least measure, so there are 2 sides that are 7.  

The hypotenuse of a 45° - 45° - 90° triangle is larger than the legs by a factor of √2, so the hypotenuse is 7√2

Answer:

96 ft²

Step-by-step explanation:

in a cube all sides are congruent so you take one measurement and multiply it by the number of sides, so you do 16 × 6 equals 96.

Answer:

Step-by-step explanation: other people said...

96ft but the real answer is...

1536 like is this helped

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf (\stackrel{x}{4},\stackrel{y}{20})\qquad \textit{we know that } \begin{cases} x=4\\ y=20 \end{cases}\implies 20=k4\implies \cfrac{20}{4}=k \\\\\\ 5=k~\hspace{10em} therefore\qquad \boxed{y=5x} \\\\\\ (\stackrel{x}{1},\stackrel{y}{n})~~\textit{when x = 1, what is \underline{y}?}\qquad y=5(1)\implies \stackrel{n}{y}=5[/tex]

Answer:

The speed of the current 1 km/hr

Step-by-step explanation:

It is given that,

A canoe can go 24 KM downstream in three hours. The return trip takes four hours.

Points to remember

Let speed of canoe in still water = x km/hr

Speed of stream or current = y km/hr

Downstream speed with stream speed = x + y

Upstream speed against stream speed = x - y

To find the speed of current

From the given information we can write,

Downstream speed = x + y = 24/3 = 8 km/hr

upstream  speed =x - y = 24/4 = 6 km/hr

y = [(x + y) - (x -y)]/2 = (8 - 6)/2 = 1

Therefore the speed of the current = 1 km/hr

Answer:

"The standard deviation is 2"

Step-by-step explanation:

To get Standard Deviation (SD), we follow the steps shown below:

The mean is summing up all the numbers and dividing by the number of numbers. Hence, mean is  [tex]\frac{7+9+10+11+13}{5}=10[/tex]

Now,  [tex](7-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2  +(13-10)^2\\=9+1+0+1+9\\=20[/tex]

Then,  [tex]\frac{20}{5}=4[/tex]

Next,  [tex]\sqrt{4} \\=2[/tex]

So, the standard deviation is 2

Answer:

The standard deviation is 2.

Step-by-step explanation:

The standard deviation of 7, 9, 10, 11, 13

We first calculate the mean

Mean = (7+9+10+11+13)/5

         = 10

Then we find the deviation of the values from the mean,

= (7-10), (9-10), (10-10), (11-10), (13-10)

= -3, -1, 0, 1, 3

The we get the square of deviations;

=  (-3)², (-1)², 0², 1², 3²

= 9, 1, 0, 1, 9

We then get the sum of the square of deviations

=  9 + 1 + 0 + 1 + 9

= 20

Standard deviation = √(sum of the square of deviations/(x-1))

                                = √(20/(5-1)

                                = √5

                                = 2.2

Therefore; The standard deviation is 2

Answer:

do the work

Step-by-step explanation:

convert the 2 fractions

then multiply vetically

Answer:

18 1/3

Step-by-step explanation:

Multiply the two fractions together

The sum of the angle of the triangle is 180 degrees. Then the measure of angle ∠D is 75.5°.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given

In triangle DEF, the measure of angle ∠F is 12.4° and the measure of angle ∠E is 92.1°.

Then the measure of angle ∠D will be.

We know that the sum of the angle of the triangle is 180 degrees. Then

     ∠D + ∠E + ∠F = 180°

∠D + 92.1° + 12.4° = 180°

On simplifying, we have

∠D = 180 - 92.1 - 12.4

∠D = 75.5°

Thus, the measure of angle ∠D is 75.5°.

More about the triangle link is given below.

https://brainly.com/question/25813512

Final answer:

The measure of angle EDF in triangle DEF, given the measures of angles DFE and DEF, is 75.5 degrees, found by subtracting the sum of the known angles from 180 degrees.

Explanation:

To find the measure of angle EDF in triangle DEF where the measure of angle DFE is 12.4 degrees and the measure of angle DEF is 92.1 degrees, we can use the fact that the sum of the internal angles in any triangle is always 180 degrees. By subtracting the measures of angles DFE and DEF from 180 degrees, we can find the remaining angle's measure.

Angle EDF = 180 degrees - (Angle DFE + Angle DEF) = 180 - (12.4 + 92.1) degrees = 180 - 104.5 degrees = 75.5 degrees.

Answer:

2 7/12

Step-by-step explanation:

−512−−93=?

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

−512+93=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-5/12, 9/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−5/12×1/1)+(9/3×4/4)=?

Complete the multiplication and the equation becomes

−5/12+36/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−5+36/12=31/12

This fraction cannot be reduced.

The fraction

31/12

is the same as

31÷12

Convert to a mixed number using

long division for 31 ÷ 12 = 2R7, so

31/12=2 7/12

Therefore:

−5/12−−9/3=2 7/12

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is point X.

Explanation: If you can see the graph, You can see that there are two points that are on the left, which is negative for the first number. Then, the second number, the Y position, which is 2, goes up, not down. So the right one is point X.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

The point X has the given coordinates (-3 1/2, 2).

A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.

If the point is left to the y-axis, we take the distance negative.

If the point is below the x-axis, we take the distance negative.

We are asked which point in the graph represents the point (- 3 1/2, 2).

To answer the question, we will analyze all the points to determine their coordinates.

Point W:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 3 1/2 units.

∴ The point W is (2, 3 1/2).

Point X:

The perpendicular distance from the y-axis (x) = 3 1/2 units.

The perpendicular distance from the x-axis (y) = 2 units.

∵ The perpendicular distance from the y-axis (x) is on the left side of the y-axis, we take x = 3 1/2 as negative, that is, x = -3 1/2.

∴ The point X is (-3 1/2, 2).

Point Y:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 3 units.

∵ The perpendicular distance from the y-axis (x) is on the left side of the y-axis, we take x = 2 as negative, that is, x = -2.

∵ The perpendicular distance from the x-axis (y) is below the x-axis, we take y = 3 as negative, that is, y = -3.

∴ The point Y is (-2, -3).

Point Z:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 3 units.

∵ The perpendicular distance from the x-axis (y) is below the x-axis, we take y = 3 as negative, that is, y = -3.

∴ The point Z is (2, -3).

∴ We can say that point X has the given coordinates (-3 1/2, 2).

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ANSWER

The correct answer is

21.5 square centimeters

EXPLANATION

The shaded area is the area of the square minus the area of the Circle.

Area of shaded region

[tex] = {l}^{2} - \pi \: {r}^{2} [/tex]

From the diagram,

[tex]l = 10cm[/tex]

and

[tex]r = \frac{l}{2} = \frac{10}{2} = 5cm[/tex]

This implies that,

Area of shaded region

[tex] = {10}^{2} - \pi \times {5}^{2} [/tex]

[tex] = 100 -25 \pi [/tex]

[tex] \approx21.5 {cm}^{2} [/tex]

The answer would be 21.5 square centimeters. Hope this helps!

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the point (6, 2) and the slope m = -1/2. Substitute:

[tex]y-2=-\dfrac{1}{2}(x-6)[/tex]

Convert to the standard form:

[tex]y-2=-\dfrac{1}{2}(x-6)[/tex]            multiply both sides by 2

[tex]2y-4=-(x-6)[/tex]

[tex]2y-4=-x+6[/tex]           add 4 to both sides

[tex]2y=-x+10[/tex]       add x to both sides

[tex]x+2y=10[/tex]

Answer:

8

Step-by-step explanation:

Pythagoras theorem states a²+b²=c²

In this example c² is given to us (10) and a² is given to us (6)

To work out x we have to √10²-6² which is 8

509 people.

[tex]700 \div 11 = 63.6363[/tex]

[tex]8 \times 63.6363 = 509.094[/tex]

you can't have 0.094 of someone so we round the answer off the 509.

Answer:

d. May

Step-by-step explanation:

To find when Kesia records got to break even, we first need to find how much they made total per month.

Now we need to first find how much they made on January.

The production cost of January will be:

Production cost = 5486 x 1.13

Production cost = $6199.18

Now that we know the production cost, we need to solve first for the total revenue.

Total Sales Revenue = 5486 x 9.75

Total Sales Revenue = $53488.50

Now that we have both the revenue and the production cost, we need can find how much profit by:

Profit = Total Sales Revenue - Production cost - Overhead

Profit = 53488.50 - 6199.18 - 27714

Profit = $19575.32

So they made a profit of $19575.32 by the end of January.

Now we move on to the other months.

Production cost = 8191 x 1.13

Production cost = $9255.83

Total Sales Revenue = 8191 x 9.75

Total Sales Revenue = $79862.25

Profit = 79862.25 - 9255.83 - 21689

Profit = $48917.42

Now that we have the profit for 2 months, we simply add them together.

Current Value = 19575.32 + 48917.42

Current Value = 68492.74

By doing the same process with the rest of the months, we get:

Refer to Image.

We can see in the image that by May they reach a total profit of $149897.77.

Since Kesia records paid $148950, the company got to break even at the month of May.

Answer:

d

Step-by-step explanation: