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Lena [83]
3 years ago
6

the measure of angle is 7π/6. the measure of its reference angle is *blank* degrees, and sin is *blank*.

Mathematics
2 answers:
marin [14]3 years ago
7 0
The measure of angle θ = 7pi/6. To convert this to degrees, substitute pi with 180 degrees. Pi is always equal to 180 degrees.
θ becomes: 7 x 180/6
Therefore, θ = 210 degrees.
And, to solve for sin θ, you can directly input sin (210) in the calculator. 
Thus, sin θ = sin (210) = -0.5 or -1/2
Andrew [12]3 years ago
7 0
\dfrac{7\pi}{6}\times\dfrac{180\°}{\pi}=210\°

\sin\left(\dfrac{7\pi}{6}\right)=\sin\left(210\°\right)=-\dfrac{1}{2}
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How is multiplying exponents (x² ⋅ x⁴) different from raising a power to a power ((x²)⁴)?
goblinko [34]

Answer:

When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:

2 + 4 = 6

x^{6} would be the answer.

On the other hand, raising a power to a power, is actually multiplying them. So it would just be:

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x^{8} would be the answer.

8 0
3 years ago
Landon invested $110 in an account paying an interest rate of 4.1% compounded
krok68 [10]

Answer:

the amount after 5 years using compound continuously is $135.03

Step-by-step explanation:

The computation of the amount after 5 years using compound continuously is as follows

= Principal × e^(rate × time period)

= $110 × e^(4.2% × 5)

= $110 × 1.227525065

= $135.03

Hence, the amount after 5 years using compound continuously is $135.03

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

7 0
2 years ago
A circle's radius is 14 centimeters.
spayn [35]

Answer:

Circumference of circle = 87.92 centimeter

Step-by-step explanation:

In the given question;

Radius of circle = 14 centimeters

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Computation:

⇒ Circumference of circle = 2πr

where r = Radius of circle

⇒ Circumference of circle = 2(3.14)(14)

⇒ Circumference of circle = (6.28)(14)

Circumference of circle = 87.92 centimeter

4 0
3 years ago
Logan bought 15 balloons four-fifths all of the balloons are purple. How many of the balloons are purple? Draw a model to show h
8090 [49]
Separating the balloons into five equal groups 

<span>⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ </span>

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5 0
3 years ago
Please solve if you know no trolls please im desparate
IgorC [24]
The question isn’t equal to 90° it’s equal to 180° because the line is straight it’s not a right angle. so when u equal the whole equation to 180°, you get x=18.75. then plug in the number to find the degree of each.
so angle of department would be 139.25° and angle of gas station would be 40.75°
3 0
3 years ago
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