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3 years ago

Find the least positive angle measurement that is coterminal with -230°.

1 answer:

7 0

The answer is Letter C - 130°

Coterminal Angles are angles that share a common terminal or end position. In finding the coterminal angle, you can add or deduct 360°. In this case, you are asked to get its positive coterminal angle. You will simply add 360° to -230°.

Solution: 360° + -230° = 130°

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a triangular prism is 20 yards long and has a triangular face with a base of 24 yards and a height of 16 yards . the other two s

lisov135 [29]

The surface area of the triangular prism is 1664 square yards.

Explanation:

Given that a triangular prism is 20 yards long and has a triangular face with a base of 24 yards and a height of 16 yards . the other two sides of the triangle are each 20 yards.

Surface area of the triangular prism:

The formula to determine the surface area of the triangular prism is

$SA=bh+Pl$

where base $b=24$ ,

height $h=16$ ,

length $l=20$ and

Perimeter $P=20+20+24=64$

Substituting these values in the above formula, we get,

$SA=(24\times 16)+(64\times 20)$

$=384+1280$

$SA=1664$

Thus, the surface area of the triangular prism is 1664 square yards.

3 0

3 years ago

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S ) Counselors : Students is 4 : 57

( T: C ) Teachers : Counselors is 3 : 5

To determine the ratio of - Students : Counselors : Teachers

Here given - C : S = 4 : 57

Multiplying both sides by 5, we get

C: S = 4 x 5 : 57 x 5 = 20 : 285

So, for every 20 counselors, there are 285 students ...... (1)

Similarly, given Teachers : Counselors is 3 : 5

Multiplying both sides by 4, we get

T : C = 3 x 4 : 5 x 4 = 12 : 20

So, for every 12 teachers, there are 20 Counselors ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S = 20 : 285 and T : C = 12: 20

Inverting the values

⇒ S : C = 285 : 20 and C : T = 20 : 12

or, S : C : T = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

4 0

3 years ago

Geometry- I need an answer for x and y.

elixir [45]

Answer:

x = 13sqrt(3) ft = 22.5 ft

y = 13 ft

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

From the ratio above we see that the hypotenuse is twice the short leg.

The long leg is sqrt(3) times the short leg.

y = short leg

x = long leg

26 ft = hypotenuse

y = 26 ft/2 = 13 ft

x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft

6 0

3 years ago

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What is the range of ƒ(x) = c?

nikdorinn [45]

All real numbers because it’s a function that has no limit

3 0

3 years ago

In blueprints an architects firm drew everything 1/24 of the actual size the windows will actually measure 4feet by 6 feet and t

stich3 [128]

To apply a scale to a measure, you have to follow this rule:

Real measure x Scale = Scaled measure

So the drawings will have:

4 x 1/24 = 0'167 feet
6 x 1/24 = 0'25 feet
Windows: 0'167 by 0'25 feet

12 x 1/24 = 0'50 feet
8 x 1/24 = 0'33 feet
Doors: 0'33 by 0'50 feet

8 0

4 years ago

Read 2 more answers