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Verdich [7]
3 years ago
14

A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The

diagonals of each rhombus measure 6 and 8 units.What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Mathematics
2 answers:
umka21 [38]3 years ago
5 0
384 cubic units is the answer.
IRISSAK [1]3 years ago
5 0

Answer:

The answer is 384 cubic units

Step-by-step explanation:

The volume can be calculated multiplying the area of the rhombus by the height of the prism:

V = Ar*H*p

Then the area of the rhombus can be obtained as:

Ar = D*d/2

Here D and d are the rhombus's diagonal. Replacing the values for the diagonals:

Ar = 8*6/2 = 24

Where the area is expressed in square units. Evaluating the area and the height in volume's formula:

V = 24 * 16 = 384  

The volume calculated in cubic units

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Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How
jekas [21]

Answer: £14378

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = £11000

n = 1 because it was compounded once in a year.

For the first 3 years,

r = 3.9% = 3.9/100 = 0.039

Therefore,

A = 11000(1+0.039/1)^1 × 3

A = 11000(1.039)^3

A = $12338

The new principal is 12338

For the next 4 years,

A = 12338(1.039)^4

A = 14378

4 0
3 years ago
Which expression is equivalent to 7h^2-252k^2?
gulaghasi [49]

Answer:

c

Step-by-step explanation:

252 = 7 *36

36 = 6 *6 = 6²

a² -b²  = (a + b)(a - b)

7h² - 252k² =  7(h² - 36k²)

                   = 7(h² - [6k]² )

                  = 7(h  +6k)(h - 6k)

6 0
3 years ago
Read 2 more answers
Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the pro
enyata [817]

Answer: 1/15

Step-by-step explanation:

The number of striped socks is 2 while the number of total socks are 6. If he chooses a striped socks at first, that will be 2/6.

If he chooses it the second time, the probability will be 1/5 since there'll be 5 socks left and 1 striped.

The probability that Derek selected a striped sock both times will be:

= 2/6 × 1/5.

= 2/30

= 1/15

3 0
3 years ago
Plz help and explain how I would write this when I answer it online!!!
Vikki [24]

14/17= .82 (82%)

31/39= .79 (79%)

so its the math test

8 0
3 years ago
What is the are of the polygon?<br> А<br> D<br> 9 cm<br> E<br> 9 cm<br> 5 cm<br> C<br> 12 cm<br> B
Svetradugi [14.3K]
I think the answer is a e
5 0
3 years ago
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