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qaws [65]
3 years ago
7

How many boys are there in an introductory geology course if 360 students are enrolled and there are five boys to every seven gi

rls?
Mathematics
2 answers:
Verdich [7]3 years ago
6 0

Answer:

150

Step-by-step explanation:

360/(5+7)=30

30*5=150

Alenkasestr [34]3 years ago
5 0

Answer:150 branliest

Step-by-step explanation:

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JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n
Sladkaya [172]
3.122

The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse. 

Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK

This means MLJ = 31 degrees since they add up to 61 degrees. 

Now we need to find the length of LJ, which we can do using the Pythagorean Theorem. 

3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL = \sqrt{27}

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.

Tan(angle) = opp/adj
Tan(31) = MJ/\sqrt{27}
\sqrt{27}Tan(31) = MJ
3.122 = MJ
7 0
3 years ago
Read 2 more answers
What is the area of a circle that has a circumference of 314km
Cloud [144]

Answer:

r~ 49.97

Step-by-step explanation:

7 0
2 years ago
A map of your town has a scale of 1 inch to 0.25 mile. There are two roads that are 5 inches apart on the map. Use this informat
egoroff_w [7]

Answer: <u>The 2 roads are 1.25 miles apart.</u>

Step-by-step explanation:

If 1 inch equals .25 miles, then you need to multiply .25 by 5.

Use proportions. Make sure the miles are on the same "side" of the fraction. Side meaning the top or the bottom

\frac{1}{.25} =\frac{5}{x}

1 times X equals 1x

.25 times 5 equals 1.25

1.25 divided by 1 equals 1.25.

6 0
3 years ago
Read 2 more answers
A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.
zhuklara [117]

Answer:

The surface area of the figure is 96 + 64π ⇒ 1st answer

Step-by-step explanation:

* Lats revise how to find the surface area of the cylinder

- The surface area = lateral area + 2 × area of one base

- The lateral area = perimeter of the base × its height

* Lets solve the problem

- The figure is have cylinder

- Its diameter = 8 cm

∴ Its radius = 8 ÷ 2 = 4 cm

- Its height = 12 cm

∵ The perimeter of the semi-circle = πr

∴ The perimeter of the base = 4π cm

∵ The area of semi-circle = 1/2 πr²

∴ The area of the base = 1/2 × π × 4² = 8π cm²

* Now lets find the surface area of the half-cylinder

- SA = lateral area + 2 × area of one base + the rectangular face

∵ LA = perimeter of base × its height

∴ LA = 4π × 12 = 48π cm²

∵ The dimensions of the rectangular face are the diameter and the

   height of the cylinder

∴ The area of the rectangular face = 8 × 12 = 96 cm²

∵ The area of the two bases = 2 × 8π = 16π cm²

∴ SA = 48π + 16π + 96 = 64π + 96 cm²

* The surface area of the figure is 96 + 64π

5 0
3 years ago
Read 2 more answers
What is the measure of the base of a triangle with a height of 20 centimeters and an area of
kkurt [141]

Answer:

The base of triangle is 10 cm

7 0
3 years ago
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