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3 years ago

I need help with 4 5 6 and 7

Mathematics

1 answer:

Lady_Fox [76]3 years ago

4 0

Answer:

it is not clear plz take a clear image

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Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest te

denis-greek [22]

Answer:

b ≈ 7.8

Step-by-step explanation:

using the law of sines

∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then

$\frac{b}{sin40}$ = $\frac{7}{sin35}$ ( cross- multiply )

b × sin35° = 7 × sin40° ( divide both sides by sin35° )

b = $\frac{7sin40}{sin35}$ ≈ 7.8 ( to the nearest tenth )

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2 years ago

6\8-4\8 simplify if possible

BaLLatris [955]

1/4 Hope this helps!!!

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3 years ago

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if you divide Me by 7 you have a remainder of 3 I'm greater than 3 times 3 times 3 times 3 and less than 570 divided by 6 I am a

mariarad [96]

87. Because 3*3*3*3 is 81 and 570/6 is 95 and 87/7 is 12 R 3

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3 years ago

In your own words, explain what a rational expression is and give and example of one.

patriot [66]

Answer:

A rational expression is when the numerator and the denominator are polynomials. An example is 5/x − 2

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3 years ago

If m∠a=47°, what is m∠b, m∠c, and m∠d? Explain how you know the measures are correct.

avanturin [10]

m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.

<h3>Further explanation</h3>

Follow the attached picture. I sincerely hope that's precisely a correct illustration.

We will use a graph of two intersecting straight lines.

Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see $\boxed{ \ m \ \angle{c} = m \ \angle{a} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{c} = 47^0 \ }}$

We continue to determine m ∠b and m ∠d.

Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.

Let us see the following steps.

$\boxed{ \ m \ \angle{a} + m \ \angle{b} = 180^0. \ }$

$\boxed{ \ m \ 47^0 + m \ \angle{b} = 180^0. \ }$

Both sides subtracted by 47°.

$\boxed{ \ m \ \angle{b} = 180^0 - 47^0. \ }$

Thus $\boxed{\boxed{ \ m \ \angle{b} = 133^0. \ }}$

Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, $\boxed{ \ m \ \angle{d} = m \ \angle{b} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{d} = 133^0 \ }}$

<u>Conclusion:</u>

m ∠a = 47°
m ∠b = 133°
m ∠c = 47°
m ∠d = 133°

<u>Notes:</u>

Supplementary angles are two angles when they add up to 180°. $\boxed{ \ example: \angle{a} + \angle{b} = 180^0 \ }$
Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure. $\boxed{ \ example: \angle{a} = \angle{c} \ }$

<h3>Learn more</h3>

About the measure of the central angle brainly.com/question/2115496
Undefined terms needed to define angles brainly.com/question/3717797
Find out the measures of the two angles in a right triangle brainly.com/question/4302397

Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent

7 0

3 years ago

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