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2 years ago

Use the unit circle to find tan 60°.

Mathematics

1 answer:

allsm [11]2 years ago

7 0

the answer is d ( square root 3 )

tan = oposite / adjacent

tan 60° = √3 / 1

= √3

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Can someone please help and please show work

pychu [463]

Answer:

Step-by-step explanation:

4 and a half

8 0

3 years ago

Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6

lesantik [10]

For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees

3 0

3 years ago

Mary bought these art supplies: 4 paint brushes @ $1.29 each, 6 dowel rods @ $1.49 each, a jar of paste @ $1.25, and 2 canvases

Sophie [7]

Answer:

Option (1) is correct

The amount she receives back from $40 is $12.65

Step-by-step explanation:

Given: Mary bought the art supplies.

4 paint brushes @ $1.29 each, 6 dowel rods @ $1.49 each, a jar of paste @ $1.25, and 2 canvases @ $6.00 each.

We have to find the change she get from $40.

We first find the total cost of the art supplies.

Since, she brought 4 paint brushes @ $1.29 each,

Thus, cost of 4 paint brush is 1.29 × 4 = $5.16

Also, 6 dowel rods @ $1.49 each,

Thus, cost of 6 dowel rods is 1.49 × 6 = $8.94

Thus, cost of 1 jar of paste is $1.25

and 2 canvases @ $6.00 each

Thus, cost of 2 canvases is $12.00

Thus, total cost of art supplies = 5.16 + 8.94 + 1.25 + 12 =$27.35

Thus, amount she receives back from $40 is $40 - $12.35 = $12.65

4 0

2 years ago

Read 2 more answers

Describe the difference between the calculation of population standard deviation and that of sample standard deviation.

taurus [48]

Answer:

View graph

Step-by-step explanation:

The population refers to the whole set under study, while the sample is a representative part of that population.

3 0

2 years ago

What are the solutions to x2 – 10x = 39?

oee [108]

Answer: x=−3 or x=13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

x2−10x−39=39−39

x2−10x−39=0

Step 2: Factor left side of equation.

(x+3)(x−13)=0

Step 3: Set factors equal to 0.

x+3=0 or x−13=0

x=−3 or x=13

7 0

2 years ago