A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.

What is the volume of the prism?


45 m³

54 m³

69 m³

108 m³

Answer:

A = 41

B = 31

Step-by-step explanation:

angles in a triangle add up to 180 degrees

the three angles in this triangle: 108, x+5, x-5

added up, we get

108 + (x+5) + (x - 5) = 180

= 108 + 2x + 5 - 5

= 108 + 2x

subtract 108 from both sides to isolate the variable and its coefficient

72 = 2x

divide both sides by 2 to solve for x

x = 36

A = x + 5 = 36 + 5 = 41

B = x - 5 = 36 - 5 = 31

Answer:

8

Step-by-step explanation:

first multiple 12 by 12 then divide by 18 then you'll get 2 times 4 and that's how you get 8.

The number of cubes that will fit into the shoebox is 40 cubes

Volume is the measure of a substance an object contains

Volume of the box = length * width * height

Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit

Determine the volume of the box

Volume of the box = l³

Volume of the box = (1/4)³ = 1/64 cubic units

Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes

Hence the number of cubes that will fit into the shoebox is 40 cubes

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Volume of right prism is 1800 in³, So option 'B' is the correct answer to the following question.

What information do we have?

Height of the prism is labeled = 15 in.

Base of the prism is a triangle with the base = 30 in

Height labeled = 8 in

Volume of right prism = Area of base triangle × Height

Volume of right prism = (1/2)(b)(h) × Height

Volume of right prism = (1/2)(30)(8) × 15

Volume of right prism = (30)(4) × 15

Volume of right prism = 120 × 15

Volume of right prism = 1800 in³

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Answer:

The answer is B. 1800 [tex]in^{3}[/tex]

Step-by-step explanation:

I took the test

Answer:

i don't really know but I love pizza

The line plot is used to show the lengths of the scrap woods using check marks above the line

From the question, we have the following frequency table

Lengths      Frequency

[tex]4\frac 18[/tex]                       2

[tex]4\frac 14[/tex]                       3

[tex]4\frac 38[/tex]                       1  

[tex]4\frac 12[/tex]                       6

[tex]4\frac 58\\[/tex]                       1

[tex]4\frac 34[/tex]                      2

[tex]4\frac 78[/tex]                      2

[tex]5[/tex]                         1

Next, we plot the number line.

Such that the lengths of the scrap woods are on the x-axis while their frequencies are on the y-axis

See attachment for the line plot

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Answer:

Step-by-step explanation:

Answer:

A.  168 units³

Step-by-step explanation:

volume = area of bas × height

volume = (6)(7)/2 × 8

volume = 168 units³

Answer:

79 (first blank)

131 (second blank)

157 (last blank)

Step-by-step explanation:

92-13 to get the first blank, and you get 79.

118+13 to get the second blank, and you get 131.

144+13 to get the last blank and you get 157.

----------------------------------------------------------------------------------------------------------

Check your work:

79+13=92

92+13=105

105+13=118

118+13=131

131+13=144

144+13=157

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I hope this helps!

-No one

Step-by-step explanation:

89 131 157 this is the answer

Answer:

B) 240

Step-by-step explanation:

If you want an explanation, just ask.

Hope this helps! Pls give brainliest!

Answer:

9.6

Step-by-step explanation:

6.4/x = sin42

x = 6.4/sin42

x = 9.56

Answer: 9 meters

Step-by-step explanation:

Let's list what we know

The garden is in the shape of a triangle

The perimeter of the garden is 27 meters

Each side is the same length

The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides

Since all the sides are the same length we can divide 27 by 3 to find the length of each side

27/3=9

The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches.

To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.

Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.

Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.

To compute for the z-score,

we have z-score = (x – μ) / (σ / √n)

where x is the computed/measured value,

μ is the expected mean, σ is the standard deviation,

and n is the number of samples.

Using the information we have,

z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68

In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.

Hence The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

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Answer:

B. The z-statistic is 1.68, so the null hypothesis cannot be rejected.

Step-by-step explanation:

edg 22, got 100 on unit test

Answer:

12×3=36

Step-by-step explanation:

hope ththis helped :))

Answer:

Area=½b×h

Area =½×20×8=80m²

hope it helps!

Hunter can make a total of 40 cups before he runs out of budget.

We know his total budget was $50 but he already spent $20 on a pitcher and cups.

This means the total of money just for the lemonade is $30.

To find this number divide the budget for lemonade by the cost of a lemonade cup $0.75.

Based on this, the total of cups he can make is 40 cups.

Learn more about budget in: https://brainly.com/question/15712390

Answer:

[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]

[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]

Answer:

20/75 is lesser than 26

Step-by-step explanation:

Hope this helps U

Answer:

Less than

Step-by-step explanation:

Simply convert 20/75 and compare the two:

0.26 O .266666666666666666666666

0.26 < .2666666666666666666666666

Therefore, 0.26 is less than 20/75

So we see one large triangle, that can be split into two triangles split by the thin dotted line:

Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem

     [tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]

Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle

     [tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]

Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:

     -->  34.77 + 11 = 45.77

The height as found in the first initial step is 23.56 thus the area is

   Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]

Hope that helps!

Answer:

6.002722642yd

Step-by-step explanation:

Area to Radius:

Area of a circle = (pi)r(squared)

28.3= pi x r2

28.3/pi = r2

9.0081...=r2

square root of 9.0081...= radius

radius= 3.001361321yd*

Radius to Diameter:

diameter = radius x 2

d = 3.001361321* x 2

d = 6.002722642yd*

*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!

Hope this helped :)

Answer:

1 and 3

Step-by-step explanation:

Answer:

The heights of the buffaloes’ players vary more than do the warriors’ heights.

The heights of the buffaloes’ players and those of the panthers vary about the same.

Step-by-step explanation:
credit to km1329 in a comment

Answer:

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

well

it's because in function one element of first is only associated with one element of second set

but in relation one element of first set may be associated with many elements of set second

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

The scale factor is 2.

Step-by-step explanation:

From the coordiante plane, we can see that:

Point H(4) has been expanded to 4 {4 · 2 = 8}

Point G(1) has been expanded to 2 {1 · 2 = 2}

Point I(-2) has been expanded to -4 {-2 · 2 = -4}

hope this helps!

Answer:

300

Step-by-step explanation:

volume of rectangle formula:

HEIGHT*WIDTH*LENGHT*

12*10(1/2)*20(1/4= 300

Answer:

2551.5in³

Step-by-step explanation:

this is easy if you know the formula.

volume = l*w*h

= 20.25*10.5*12= 2551.5in³

The random sample of the students is an illustration of sampling

The chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

The dataset is given as:

Monday        34

Tuesday       29

Wednesday   32

Thursday        28

Friday             19

The variable of the above dataset is a not a categorical dataset.

One of the conditions of the chi-square test for goodness of fit test is that the variable under study must be categorical.

Hence, the chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

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Answer:

The first choice is the answer.

Step-by-step explanation:

Answer:

$3.40

Step-by-step explanation:

Look at image above...