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ollegr [7]
3 years ago
6

What is the volume of the triangular prism shown below?

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

A

Step-by-step explanation:

The volume (V) of the triangular prism is calculate as

V = area of triangular face × depth

area of triangle = 0.5 × 9 × 4 = 0.5 × 36 = 18 units², thus

V = 18 × 15 = 270 units³ → A

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Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.
Over [174]

Answer:

y = 8(-\frac{1}{2})^x

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points (4, \frac{1}{2}) and (3, -1)

For the point (4, \frac{1}{2}),

\frac{1}{2}=a(b)^4 ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

\frac{\frac{1}{2}}{-1} = \frac{a(b)^4}{a(b)^3}

-\frac{1}{2}=b^{(4-3)}

-\frac{1}{2}=b

From equation (2)

-1 = a(-\frac{1}{2})^3

-1 = -\frac{1}{8}a

a = 8

Therefore, equation of the exponential function will be,

y = 8(-\frac{1}{2})^x

4 0
2 years ago
Pairs that satisfy function y=2x+1
evablogger [386]

Test a pair from each table by substituting their values into the given equation and solving.

A) y = 2x + 1 .......... 2 = 2(0) + 1 .......... 2 ≠ 1

B) y = 2x + 1 .......... 1 = 2(0) + 1 .......... 1 = 1

C) y = 2x + 1 .......... -1 = 2(0) + 1 .......... -1 ≠ 1

D) y = 2x + 1 .......... -2 = 2(0) + 1 .......... -2 ≠ 1


The only pair that satisfied the equation was from answer choice B. Therefore, B is the correct answer.

8 0
3 years ago
You are running a fuel economy study. One of the cars you find is blue. It can travel 43 1/2 miles on 1 1/4 gallons of gasoline
nignag [31]

Answer:

Blue

Step-by-step explanation:

Blue = 43.5/1.25

34.8 mpg

Red = 21 3/5 / 4/5 = 21.6/0.8

27 mpg

4 0
2 years ago
Which two numbers multiply to 78 and add up to 17
Anarel [89]
There are no numbers without decimals which multiply to 78 and add up to 17.
6 0
3 years ago
How do i do this I cant math​
mote1985 [20]

The correct answer is A

8 0
3 years ago
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