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QveST [7]
4 years ago
14

What is the cosine ratio for angle F?

Mathematics
2 answers:
Elan Coil [88]4 years ago
8 0

ANSWER

\cos( \angle \: F)  =  \frac{5}{13}

EXPLANATION

The side length adjacent to <F is 5 units.

The length of the hypotenuse is 13 units.

The cosine ratio is

\cos( \angle \: F)  =  \frac{adjacent}{hypotenuse}

This implies that:

\cos( \angle \: F)  =  \frac{5}{13}

The fourth choice is correct.

AnnZ [28]4 years ago
5 0

hope this answer your question :)

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what is (5.91 x 10^-3) - (8.7 x 10^10) written in a scientific notation? Please answer asap thank you :))
nata0808 [166]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

\left(5.91\times \:10^{-3}\right)-\left(8.7\times \:10^{10}\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

=5.91\times \:10^{-3}-8.7\times \:10^{10}

as

5.91\times \:10^{-3}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

=5.91\times \frac{1}{10^3}

=\frac{5.91}{1000}

=0.00591

similarly

8.7\times \:10^{10}

Convert element to a decimal form

10^{10}=10000000000

so

=10000000000\times \:8.7

\mathrm{Multiply\:the\:numbers:}\:8.7\times \:10000000000=87000000000

=87000000000

Thus, the expression becomes

\left(5.91\times \:\:10^{-3}\right)-\left(8.7\times \:\:10^{10}\right)=5.91\times \:\:10^{-3}-8.7\times \:\:10^{10}

                                                =0.00591-87000000000

                                                =-86999999999.9941

Hence,

<em>converting -86999999999.9941 in a scientific notation</em>

In order to make our job easier we will remove the sign "-" from number -86999999999.9941 (we will write "-" at the final solution). So after this step we have:

<em>−86999999999.9941  ⟶  86999999999.9941</em>

<em></em>

In order to write number 86999999999.9941 in scientific notation, we need to move the decimal point from its current location (black dot) to the new position such as:

<em>8.6999999999.9941</em>

<em />

So, we need to move the decimal point 10 places to the right.

This means that the power of 10 will be positive 10.

Now we have that the

Number part = 8.69999999999941 and

Exponent part = 10

Thus, we conclude that:

−86999999999.9941 = − 8.69999999999941 × 10¹⁰

8 0
4 years ago
The sale tax in a certain state is 5 1/2%. What would be the tax on an item that costs $535.00
nexus9112 [7]

Answer:

$29.43

Step-by-step explanation:

5 1/2 % or 5.5% is 0.055 as a decimal.  Multiply 535 by 0.055 to find what 5.5% of 535 is...

0.055(535) = 29.425

Since we're working with dollars, round to the nearest hundredth, which is

$29.43

7 0
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Zielflug [23.3K]
H-5 = -30
Add 5 to both sides to get variable h by itself
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Which expression is not equivalent to 3 times a times r
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The last one

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The last one is dividing.

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