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3 years ago

14

Triangle ABC is equilateral. What is the measure of angle B?

1 answer:

Sonbull [250]3 years ago

5 0

Answer:

60

Step-by-step explanation:

Equilateral triangles- all 3 angles are 60

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Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C

Lesechka [4]

Answer:

Solution : $-\frac{3}{4}-\frac{3}{4}i$

Step-by-step explanation:

$-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]$

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

$\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}$

= $-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)$ ÷ $2\sqrt{2}\left(0-1\right)i$

= $3\left(-\frac{\sqrt{2}i}{2}+\frac{\sqrt{2}}{2}\right)$ ÷ $-2\sqrt{2}i$

= $\frac{3\left(1-i\right)}{\sqrt{2}}$ ÷ $2\sqrt{2}i$ = $-3-3i$ ÷ $4$ = $-\frac{3}{4}-\frac{3}{4}i$

As you can see your solution is the last option.

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3 years ago

A park mr.Denyssenkos house has a joggings trail that is 2640 meters long what is the length in centimeters if the jogging trail

Mumz [18]

Your answer is 246000 cm.

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3 years ago

Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. The manufacturer o

tangare [24]

Answer is 80.4 ounces :)!!!!

6 0

3 years ago

Read 2 more answers

Please help u guys!!!!

damaskus [11]

-1.....if the number on the left is smaller than the number on the right change the the number on the right to equal the same on the left then however many numbers down you went make that a negative and that’s your answer

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3 years ago

A lunch bill is $12 before tax. If the tax on the bill is 7.5% what is the total cost of the lunch including tax?

nikitadnepr [17]

Answer:

$\boxed{ \bold{ \huge{\boxed{ \sf{ \: 12.9 \: \: dollars}}}}}$

Step-by-step explanation:

Given,

Cost without tax = $ 12

Tax percent = 7.5 %

Cost including tax = ?

<u>First</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>tax</u><u> </u><u>amount</u><u> </u><u>:</u>

$\sf{tax \: amount \: = \: 7.5 \: \% \: of \: 12}$

⇒ $\sf{tax \: amount = \frac{7.5}{100} \times 12}$

⇒ $\sf{tax \: amount = 0.9}$ dollars

<u>Finding </u><u>the</u><u> </u><u>total</u><u> </u><u>cost</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>lunch</u><u> </u><u>including </u><u>tax</u><u> </u><u>:</u>

⇒ $\sf{total \: cost \: = \: 12 + 0.9}$

⇒ $\sf{total \: cost \: = \: 12.9}$ dollars

Hope I helped!

Best regards ! :D

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3 years ago

Read 2 more answers