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kogti [31]
3 years ago
15

What are the three Pythagorean identities?

Mathematics
1 answer:
suter [353]3 years ago
4 0
Pythagorean \ Identity : \\\\1) \\\\sin^2\alpha  +cos^2\alpha =1\\\\2)\\\\tan^2\alpha +1=sec^2\alpha \\\\ 3)\\\\1+cot^2\alpha =csc^2\alpha
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What is the volume of the following rectangular prism?<br> 21/2 units <br> 8/3 units
xeze [42]

Answer:

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the area of end face and l is the length )

Here A = \frac{21}{2} and l = \frac{8}{3} , thus

V = \frac{21}{2} × \frac{8}{3} ( cancel 21 and 3 by 3 and 2 and 8 by 2 )

= \frac{7}{1} × \frac{4}{1} = 7 × 4 = 28 units³

5 0
4 years ago
Which of the following is not a possible value of x?<br><br> A. -0.2<br> B. 0<br> C. 1<br> D. 3
Vinvika [58]
-0.2 is not a possible value of x because lengths cannot be negative.
3 0
3 years ago
Read 2 more answers
A principal of $2600 is invested at 7% interest, compounded annually. How much will the investment be worth after 13 years?
AveGali [126]

Answer:

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 2600 at a rate of 7% per year  compounded 1 time per year  over 13 years is $ 6266.

Step-by-step explanation:

Given

Principle P =  $2600

Interest rate r = 7% = 0.07

Time period t = 13 years

Compounded annually means: n = 1

To determine

Accrued Amount = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

substituting P = 2600, r = 0.07, t = 13, n = 1

A\:=\:2600\left(1\:+\:\frac{0.07}{1}\right)^{1\left(13\right)}

A=2600\left(1+0.07\right)^{1\cdot \:13}

A = 6266 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 2600 at a rate of 7% per year  compounded 1 time per year  over 13 years is $ 6266.

4 0
3 years ago
Turn 92.004 mixed number reduced to the lowest term
sineoko [7]

we can turn any decimal number to a fraction by <u>using as many zeros at the bottom as there are decimals and losing the dot atop</u>, so let's see, we have 3 decimals in this case, so we'll use 3 zeros at the bottom.


\bf \underset{\textit{three decimals}}{92.\underline{004}}\implies \cfrac{92004}{\underset{\textit{three zeros}}{1\underline{000}}}\implies \stackrel{simplified}{\cfrac{25001}{250}}\implies 92\frac{1}{250}


recall that to turn an improper fraction to mixed, we divide numerator by denominator, and the quotient is the number alone and the numerator is the remainder of the division.

7 0
3 years ago
Simplify the expression; 5+x+3
vichka [17]

Answer:

8+x , x+8

Step-by-step explanation:

5+3 =8
x cannot be simplified since its value is unknown.
8+x or x+8

4 0
2 years ago
Read 2 more answers
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