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3 years ago

Find the volume of the triangular prism

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

V = 5280 in^3

Step-by-step explanation:

The volume is found by

V = Bh where B is the area of the base and h is the height

first we need to find the area of the base

The base is the triangle

We need to find the base dimension for the triangle

34^2 = 16^2 + b^2

34^2 -16^2 = b^2

900 = b^2

30 =b

B = 1/2 bh

= 1/2 (30) *16

B =240

V = Bh

V = 240 * 22

V = 5280 in^3

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Mario buys tickets for either 47 or 57 dollars. He purchases 14 tickets and spends 738 dollars. How many tickets did he purchase

Ivanshal [37]

Answer:

6 tickets were purchased at $47

8 tickets were purchased at $57

Step-by-step explanation:

Let the tickets purchased at $47 be x

Let the tickets purchased at $57 be y

We can form an equation from the question given which will be:

x + y = 14 ....... i

47x + 57y = 738 ........ ii

From equation i

x = 14 - y ........ iii

Substitute iii into ii

47x + 57y = 738

47(14-y) + 57y = 738

658 - 47y + 57y = 738

Collect like terms

-47y + 57y = 738 - 658

10y = 80

y = 80/10

y = 8

8 tickets were purchased at $57

Note that from i

x + y = 14

x + 8 = 14

x = 14 - 8

x = 6

6 tickets were purchased at $47

7 0

3 years ago

7z2 5z4 d3 d8<br> I don't know how you are supposed to do it?

Serga [27]

Answer:

$35 {z}^{6} {d}^{11}$

Step-by-step explanation:

Assuming you are supposed to simplify:

$7 {z}^{2} \times 5 {z}^{4} \times {d}^{3} \times {d}^{8}$

Then we need to apply the product rule of indices.

${a}^{m} \times {a}^{n} = {a}^{m + n}$

So we multiply to get:

$35 {z}^{2 + 4} \times {d}^{3 + 8}$

We now simplify the exponents to get:

$35 {z}^{6} \times {d}^{11}$

Therefore the required product is

$35 {z}^{6} {d}^{11}$

3 0

3 years ago

Someone help me please.

Aliun [14]

Answer:

t = 12h

Step-by-step explanation:

t = total

h = hours

5 0

3 years ago

Read 2 more answers

2a) Solve using substitution.

Tcecarenko [31]

First things first, write out your equation without the substitution.

2x+ 2y= 10

Now, put in the substitution.

2x+ 2• 2= 10

Combine like terms.

2x+ 4= 10

Now that your equation it simplified, you need to reverse the problem and put everything on the other side.

2x+ 4= 10
- 4 - 4
2x = 6

2x=6
— —
2 2

X= 3

So the final answer is x=3

8 0

3 years ago

The sum of 4 consecutive integers is 354.<br> What is the second number in this sequence?

Ulleksa [173]

354 / 4 = 88.5

so2 numbers below that and 2 numbers above that:

87 + 88 + 89 +90 =

2nd number is 88

8 0

3 years ago