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3 years ago

8

Please help! Find the length of the triangle.

2 answers:

Mariana [72]3 years ago

7 0

The answer is 12 :) the above person is right

ella [17]3 years ago

6 0

Answer: 12.

Step-by-step explanation: Use Pythagorean Theorem. We that a = 9, b = ?, and c = 15. Plugging that in gives us 9^2 + b^2 + 15^2. Solving for b gets us b^2 = 144. Taking the square root of both sides gets us b = 12.

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Solve each calculation. Be sure to report your answer with the correct number of significant figures.

Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg × 1.1010 dg

12.0 m ÷ 3.1415 m

Answer:

1. $5.61000dg * 1.1010dg$ = $6.177 dg^2$

2. $\frac{12}{3.1415} = 3.8198$

Step-by-step explanation:

1. 5.61000 dg × 1.1010 dg

We start by representing each digit using scientific notation

$5.61000 = 561000 * 10^{-5}$

$1.1010 = 11010 * 10^{-4}$

Then, Multiply both numbers

$561000 * 10^{-5} * 11010 * 10^{-4}$

First, rearrange

$561000 * 11010 * 10^{-5} * 10^{-4}$

$6176610000 * 10^{-5} * 10^{-4}$

From law of indices, $10^{-5} * 10^{-4} = 10^{-9}$ ;

So, we have

$6176610000 * 10^{-9}$

$6.176610000$

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives $6.177$

Hence, $5.61000dg * 1.1010dg$ = $6.177 dg^2$

2.

12.0 m ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = $\frac{12}{3.1415}$

We start by representing 3.1415 using scientific notation

$3.1415 = 31415 * 10^{-4}$

By substitution;

$\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}$

Take $10^{-4}$ to the numerator

$\frac{12}{3.1415} = \frac{12 * 10^4}{31415}$

From law of indices, $10^{4}$ = 10000

$\frac{12}{3.1415} = \frac{12 * 10000}{31415}$

Multiply

$\frac{12}{3.1415} = \frac{120000}{31415}$

Divide

$\frac{12}{3.1415} = 3.81983129078$

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

$\frac{12}{3.1415} = 3.8198$

5 0

4 years ago

Read 2 more answers

Tammy completed the following steps to simplify the expression

Brrunno [24]

Answer:

the third term wasn't distributed properly the -2 has to multiply by +2 = -4

Step-by-step explanation:

-5x^2y - 3xy^2 - 2(4y+2) - 2.5x^2y

-5x^2y - 3xy^2 - 8y - 4 - 2.5x^2y

-7.5x^2y - 3xy^2 - 8y - 4

3 0

4 years ago

If x is an even integer greater than 3, then, in terms of

prisoha [69]

Answer:

x^2

Step-by-step explanation:

Any even number raised to two is even.

Eg: 4^2 = 16

12^2 = 144

Etc...

And

Any odd number raised to two is odd.

Eg: 5^2 = 25

13^2 = 169

Etc...

And also x^2 is greater than 2x & x+3 & x+2

6 0

2 years ago

Round 2.3 to 1 significant number

arlik [135]

2.3 rounds to 2

because if the decimal is 5 or above you round up, if its less than 5 it stays the same. for example 2.6 round to 3 but 2.4 becomes 2

8 0

3 years ago

Solve: (x + 5)^2 + 15 = 64

ch4aika [34]

(x+5)^2 = 49;
Then x + 5 = 7 or x + 5 = -7 ;
Finally, x = 2 or x = -12.

5 0

4 years ago