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3 years ago

Find the volume of the prism.

Mathematics

2 answers:

umka21 [38]3 years ago

3 0

Answer:

C = 210cm^3

Step-by-step explanation:

We can get an estamate when we use the equation L x H x W = x/2

This shows 8 x 8 x 7, then divide by 2 = 224cm^3

The reason it is slightly less could be the facts the teachers want you to remember this one.

For right side prism the equation is (1/2)b x h x H

which means;

The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the right) times the height,h.

We use the side and base that surrounds the right side as (1/2)base and as side to find area then use the H as the height being the 7.

Jobisdone [24]3 years ago

3 0

Answer:

D. 168 units^3

Step-by-step explanation:

volume of prism = (area of base) * (height of prism)

The height of the prism is the distance between the triangular bases, and is 7 units.

The base of the prism is a triangle with base 6 units and height 8 units.

area of triangle = base * height / 2 = 6 * 8/2 = 24 square units

volume of prism = (area of base) * (height of prism)

volume of prism = (24 square units) * (7 units)

volume of prism = 168 cubic units

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What is the probability of p(2 of spades)

serious [3.7K]

Answer:

<h2><u><em>**Please rate brainliest and vote 5 and give thanks**</em></u></h2>

Step-by-step explanation:

● A standard deck of cards has:

● 52 Cards in 13 values and 4 suits

● Suits are Spades, Clubs, Diamonds

and Hearts

● Each suit has 13 card values:

2-10, 3 “face cards” Jack, Queen, King (J, Q, K)

and and Ace (A)

Basic Card Probabilities

● If you draw a card at random, what is the

probability you get:

● A Spade? P(Spade)=13/52

● A Face card? P(Face Card)=12/52 (or simply 3/13)

● A Red Ace? P(Red Ace) = 2/52

6 0

3 years ago

Dual-energy X-ray absorptiometry (DXA) is a technique for measuring bone health. One of the most common measures is total body b

kramer

Answer:

(a)

$\bar x = 0.0075$

$s = 0.0049$

(b)

B. The sample is too small to make judgments about skewness or symmetry.

Step-by-step explanation:

Given:

$n = 8$

$\begin{array}{ccccccccc}{} & {S} & {u} & {b} &{j} & {e} & {c} & {t} & {s} &{Operator} & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {1} & 1.326 & 1.337 & 1.079 & 1.229 & 0.936 & 1.009 & 1.179 & 1.289 & 2 & 1.323 & 1.322 & 1.073 & 1.233 & 0.934 & 1.019 & 1.184 & 1.304 \ \end{array}$

Solving (a):

First, calculate the difference between the recorded TBBMC for both operators:

The last row which represents the difference between 1 and 2 is calculated using absolute values. So, no negative entry is recorded.

The mean is then calculated as:

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{0.003 + 0.015 + 0.006 + 0.004 + 0.002 + 0.010 + 0.005 + 0.015}{8}$

$\bar x = \frac{0.06}{8}$

$\bar x = 0.0075$

Next, calculate the standard deviation (s).

This is calculated using:

$s = \sqrt{\frac{\sum (x - \bar x)^2}{n}}$

So, we have

$s = \sqrt\frac{(0.003 - 0.0075)^2 + (0.015 - 0.0075)^2+ (0.006- 0.0075)^2+ ....... + (0.005- 0.0075)^2+ (0.015- 0.0075)^2 }{8}$ $s = \sqrt\frac{0.00019}{8}$

$s = \sqrt{0.00002375$

$s = 0.0049$

Solving (b):

Of the given options (A - E), option B is correct because the sample is actually too small

6 0

3 years ago

Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply.

Ilia_Sergeevich [38]

Answer: ALL OF THE ABOVE

Step-by-step explanation:

a translation doesn't change any of the above, they all remain the same. it's a trick question :P

8 0

3 years ago

Suppose 72 gallons of water came out of a pipe in 8 minutes.

Masteriza [31]

Answer:

9 gallons of water per minute

Step-by-step explanation:

First identify what you know:

1) The pipe was flowing water for eight minutes.

2) In that eight minutes, 72 gallons of water came out.

So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!

72/8 = 9

The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!

Hope this helps! :)

4 0

3 years ago

“ write all your answers with a positive exponent so your answer will be in the form of x^# or 1/(x^#)

gayaneshka [121]

Answer:

Step-by-step explanation:

5). $\frac{1}{x^{-9}}$ = $\frac{1}{\frac{1}{x^9} }$