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likoan [24]
3 years ago
12

a rain gutter is 24 feet long, 4 inches in height, 3 inches at base and 6 inches at top. how many gallons of water will it hold?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:1.8701

Step-by-step explanation:

Area (A) of trapezium as marked is =\frac{1}{2}\left ( sum\ of\ parallel\ sides\right )\times height

A=\frac{1}{2}\left ( 3+6\right )\times 4

A=18in^2

Now for Volume we have to multiply by length because area is same across the length.

volume(v)=A\times length

Volume(v)=18\times 24

Volume(v)=432 in^3

Volume(v)=1.8701 gallon

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Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how many dimes?
a_sh-v [17]
N₁*$0.10 + n₂*$0.25 = $2.25

n₁ + n₂ = 12

-----------

This means that:

n₁ = 12 - n₂

And:

(12 - n₂)*$0.10 + n₂*$0.25 = $2.25

12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25

$1.20 + n₂*$0.05*(5-2) = $2.25

$1.20 + n₂*$0.05*3 = $2.25

$1.20 + n₂*$0.15 = $2.25

n₂*$0.15 = $2.25 - $1.20

n₂*$0.15 = $1.05

n₂ = ($1.05)/($0.15)

n₂ = 7

If n₂ = 7:

n₁ + 7 = 12

Therefore, n₁ = 5.

---------

Answer:

5 dimes and 7 quarters.
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3 years ago
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Write the equation of the line in the slope intercept form if the line passes through (3,5) and (5,9) show all your work
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Answer:

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Step-by-step explanation:

or m= ((9-5)/ (5-3)

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2 years ago
A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m
Artyom0805 [142]

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

<h3>What is an exponential function?</h3>

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

p(m)=19.3(1089)^m

Most recently, the scientist counted 138 plants.

138=19.3(1089)^m\\(1089)^m=7.15

Taking log both sides of the equation,

\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

brainly.com/question/15602982

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