A triangular prism is shown below.
5 cm
14 cm
3 cm
8 cm
A formula for the volume of a triangular prism is V= Bh. Which expression can be used to find V
the volume of the prism in cubic centimeters?

Answer:

KN ≈ 20.7 cm

Step-by-step explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

[tex]\sqrt{528}[/tex] = KM

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Using the sine ratio in right triangle KMN

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KN}{KM}[/tex] = [tex]\frac{KN}{\sqrt{528} }[/tex] ( multiply both sides by [tex]\sqrt{528}[/tex]

[tex]\sqrt{528}[/tex] × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )

Answer:

$308 is the correct answer. Please refer to the attachment. If not able to understand then please let me know, I will resend it wih proper explanation. Hope it helps you. Thanks.

Answer:

-5

Step-by-step explanation:

this is a y = mx + b equation. m is slope.

Answer:

-5

Step-by-step explanation:

When a linear function is in the form y=mx+b then m represents the slope of the line.

Answer:

x2, 6x, 4x2

Step-by-step explanation:

Answer: x2 , 6x , 4x , 24 .

Step-by-step explanation: i got it wrong but it did tell me the correct answer !

the answer is a did you multiply then divide

Answer:

480

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

below is 12+2 which is the same size as the top one

Answer:

2

Step-by-step explanation:

[tex]\begin{cases} -3x -3\:\: for\:\: x<-2\\\\6x -28\: \: for\:\: x\geq 5  \end{cases}[/tex]

f(5) will fall in the interval x≥5 and its corresponding function is:  

    f(x) = 6x - 28

∴ f(5)= 6*5 - 28 = 30 - 28 = 2

Answer:

yes!!

Step-by-step explanation:

Answer:

the mean is 3.95

median is 2.75

Step-by-step explanation:

I'd say that the mean is the better center, because you need to even it all out. you have one big number compared the rest.

The median is a better center for this data since since that number is the common size of acres not the highest or lowest acre per 1000 residents

Answer:

y = 1.5

Step-by-step explanation:

Given y is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of variation

To find k use the condition when x = 8, y = 2 , then

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of variation

When x = 15, then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = 1.5

Answer:

Step-by-step explanation:

Part A

Since, BDFHJ is a regular pentagon,

Measure of interior angles of this pentagon = [tex]\frac{(n-2)\times 180}{n}[/tex]

= [tex]\frac{(5-2)\times 180}{5}[/tex]

= 108°

Since, ∠ABC ≅ ∠JBD [Vertical angles]

Therefore, m∠ABC = m∠JBD = 108°

Part B

m∠JBD + mCBD = 180° [Linear pair of angles]

108° + m∠CBD = 180°

m∠CBD = 180 - 108

m∠CBD = 72°

Similarly, m∠BDF + m∠CDB = 180°

m∠CDB + 108° = 180°

m∠CDB = 180 - 108

             = 72°

In ΔCBD,

m∠BCD + m∠CDB + m∠DBC = 180°

m∠BCD + 72° + 72° = 180°

m∠BCD = 180° - 144°

              = 36°

Answer:

45 degrees

Step-by-step explanation:

Before we start, it is important to know that the sum of all angles of a triangle adds up to 180. Since one of the angle measure is already given to us, 90, we can subtract this from 180.

180-90=90

This tells us that the two remaining angles will add together to equal 90. In addition, it also tells us that the two remaining angles are equal. This means we can divide 90 by 2, and it leaves us that x= 45 degrees.

Answer:

$20

Step-by-step explanation:

3 pounds of beef is 6 dollars.

6 divided by 3 is 2. Therefore, each pound cost $2.

He wants to buy 10 pounds of beef.

9 pounds would be $18.

Add 1 pound, which is $2 and you will get $20.

Therefore, he would pay $20!~

Hope this helps!~~ <3

Answer:

∠ B ≈ 66.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then

∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )

Answer:

I think it would be C. 9/13.

Answer:

B

Step-by-step explanation:

11/26 x 7/26 = 77/676

Answer:

it already is in simplest form

Step-by-step explanation:

4/9 is the simplest form. There is no way to simplify it further.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

Answer: £2080.00 :)

hope it helps

Answer:

Hi how are you doing today Jasmine

Answer:

36cm^2

Step-by-step explanation:

12 x 4 = 48

9 * 4 =36

36/3 =12

48 - 12 = 36

Answer:

yes

Step-by-step explanation:

Answer:

84 inches squared

Step-by-step explanation:

perimeter = 6+7+5+10+15

= 43

Answer: the length of BE is 27

Answer:

y= -x+3

Step-by-step explanation:

The slope is -1

The y-intercept is 3 if you count up with rise over run

Put it all together and you get y= -x+3

Answer:

I think its 20 cm

Step-by-step explanation:

Answer:

a baby weight more because the baby will grow and will weight more then a puppy

Step-by-step explanation:

Answer:

A puppy that weights 8.5 kilograms weighs more.

Step-by-step explanation:

A puppy that weights 8.5 kilograms weighs more. Why? Well if you convert the 11 pounds from the baby to kilograms it would equal about 5 kilograms. The puppy's weight in kilograms is 8.5 and its weight in pounds is 18.7, while the baby's weight in kilograms is 5 and it's weight in pounds is 11.

Puppy's Weight Kilograms: 8.5

Puppy's Weight Pounds 18.7

Baby's Weight Kilograms: 5

Baby's Weight Pounds: 11

Weight in Kilograms: Puppy: 8.5 > Baby: 5

Weight in Pounds: Puppy: 18.7 > Baby: 11

Therefore, the puppy is heavier.

(If this answer was helpful please mark me brainliest)

Answer is 16 because 16/4 = 4 + -12 = -8

Answer:

m=16

Step-by-step explanation:

-8=m/4+(-12)

4=m/4

16=m

so first, you add 12 to the other side to cancel out the -12. 12-8=4. so now you have 4=m/4. to isolate the m, you have to multiply by 4 on both sides, which gives you 16=m or m=16.

i hope this helps :)

Answer:

i believe the answer is 25.

Step-by-step explanation:

this is because if a=how much money deposited after  t= depositing weekly and 16 is being multiplied by t. that leads me to believe she deposits $16 weekly. therefore, her original deposit was $25.

tell me if this is incorrect.

Answer:

25

Step-by-step explanation:

In this equation, the original deposit was 25 dollars. The equation shows how much total money was in the account every week. It is written in slope-intercept form, which is y=mx+b, where m is the slope (how much the account is increasing each week) and b is the y-intercept (what was in the account after 0 weeks). This means 25 dollars must be the initial deposit because it is the total before any new weekly deposits.

Answer:

The first one is TRUE.

You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2

Answer:

$68000

Step-by-step explanation:

Tax free earning = first 4000

Tax on remaining amount = 25%

Total earning in other to have $20000 net of tax earning :

Net of tax = tax free earning + (25% * remaining amount)

Let remaining amount = x

20000 = 4000 + (0.25 * x)

20000 = 4000 + 0.25x

20000 - 4000 = 0.25x

16000 = 0.25x

x = 16000 / 0.25

x = 64000

Hence,

Total earning should be :

Tax free earning + roaming amount

4000 + 64000

= $68000