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borishaifa [10]
3 years ago
14

How much would it have rained each month if the total amount rain (11 inches) was redistributed equally among the 12 moths of th

e year?
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0

Answer:

Total rainfall in one month 0.9167 inches

Step-by-step explanation:

The total rainfall around an year is equal to  11 inches

There are 12 months in an year.

Total rainfall in one month is equal to total rainfall in an year divided by number of months

Total rainfall in one month

\frac{11}{12} = 0.9167 inches

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option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar
motikmotik

Answer:

The equation is given below as

\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x

Step 1:

We will work on the left-hand side, we will have

\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}

By substituting the identity above, we will have

\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\  \end{gathered}

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}

Here, we will use the definition of subtraction

\cos x-\frac{\sin^2x}{\cos x}

Step 3:

We will apply the double number identity given below

\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}

By applying this, we will have

\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}

Here, we will use the double number identity

\frac{\cos^2x-\sin^2x}{\cos x}

5 0
1 year ago
Find the volume of the triangular prism
gulaghasi [49]

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

3 0
3 years ago
Shop sells bagles for 5 per dozen how much bagles can you buy for 50
spayn [35]
120 Bagels
Explanation:
if you get 12 bagels for 5 dollars, and your wondering how many you’d get for 50 dollars, 5 times 10 is 50 and 10 times 12 is 120. That doesn’t make the most sense but yes
3 0
3 years ago
What is the square root of 4
Nina [5.8K]

Answer:

The square root of 4 is 2 because 2 times itself produces 4

2 * 2 = 4

Step-by-step explanation:

8 0
3 years ago
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A car travels 45 miles and uses 3 gallons of gas. what is the unit rate for miles per gallon. HELP
mylen [45]

Answer:

15 miles per gallon

Step-by-step explanation:

If a car travels 45 miles and uses 3 gallons of gas than to find how many miles can be traveled using 1 gallon, you do 45/3, miles/gallons to get 15 miles/1 gallon.

Hope this helps,

-Shaylee

8 0
3 years ago
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