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2 years ago

Angles A and B are complementary. Explain how to find the measure ofAngle BifAngle A has a measure of 36°.

Mathematics

1 answer:

Jobisdone [24]2 years ago

3 0

Answer:

54 degrees

Step-by-step explanation:

Complementary angles total 90 degrees.

So, to find B, we subtract 36 from 90.

90-36= 54

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A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative

Gelneren [198K]

Answer:

Step-by-step explanation:

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2 years ago

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Given right triangle XYZ, what is the value of tan(60°)?

Svetlanka [38]

we know that

Step $1$

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

$XY^{2}=XZ^{2} +ZY^{2} \\ ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units$

$ZY=21\sqrt{3}\ units$

Step $2$

in the right triangle XYZ

Find tan $60$ °

we know that

$tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}$

in this problem

opposite side angle $60$ is ZY

adjacent side angle $60$ is XZ

$tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21} \\ \\ tan\ 60=\sqrt{3}$

therefore

the answer is

$\sqrt{3}$

3 0

2 years ago

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A group of neighborhood children have a lemonade stand. They spend $5 on supplies. The function graphed shows the earnings they

Elanso [62]

Hey!

Your answer would be:

x-intercept: The number of cups of lemonade that must be sold to break even.

y-intercept: Money spent before the sale of the first cup of lemonade.

Took the test <3

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2 years ago

Write standard form 5+0.5+0.03+0.006

zmey [24]

Answer:

5.5360

Step-by-step explanation:

I added

5+0.5= 5.5

5.5+0.03=5.53

5.53+0.006=

5.5360

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2 years ago

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Kelly hiked in the woods it took her 1/14 hour to walk 1/4 mile after she snacked she walked another 1/6 mile in 1/16 hour

mariarad [96]

General Idea:

The relationship between rate(R), distance(D) and time(T) given below:

$R= \frac{D}{T}$

Applying the concept:

We need to make use of the formula to find Kelly's walking rate before and after her snack

$Kelly \; Walking \; Rate \; before \; Snack:\\Distance \div Time = \frac{1}{4} \div \frac{1}{14} = \frac{1}{4} \times \frac{14}{1} = \frac{14}{4} = \frac{7}{2} = 3 \frac{1}{2} \; miles \; per \; hour\\\\Kelly \; Walking \; Rate \; after \; Snack:\\Distance \div Time = \frac{1}{6} \div \frac{1}{16} = \frac{1}{6} \times \frac{16}{1} = \frac{16}{6} = \frac{8}{3} = 2 \frac{2}{3} \; miles \; per \; hour\\\\$

Option A isn't correct because before snack Kelly walking rate is not 4/14 miles per hour.

Option B is Correct, Kelly walking rate after snack is 2 2/3 miles per hour.

Option C isn't correct because it doesn't took Kelly 2 hours longer to walk 1/6 mile than it did for her to walk 1/4 mile. It took 1/112 hour longer.

$\frac{1}{14} - \frac{1}{16} = \frac{1 \cdot 8}{14 \cdot 8} - \frac{1 \cdot 7}{16 \cdot 7} = \frac{8}{112} - \frac{7}{112} = \frac{1}{112}$

Option D isn't correct because 2 2/3 miles per hour is slower than 3 1/2 miles per hour.

Conclusion:

Option B is Correct, Kelly walking rate after snack is 2 2/3 miles per hour.

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2 years ago

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