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Ray Of Light [21]
3 years ago
5

Find sin 0, where is the angle shown. Give an exact value, not a decimal approximation.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

Answer:

sinθ = \frac{24}{25}

Step-by-step explanation:

By applying Pythagoras theorem in the given triangle,

Hypotenuse² = (Leg 1)² + (Leg 2)²

                      = (24)² + 7²

Hypotenuse = √625 = 25

By applying sine rule in the given triangle,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

Since, measure of opposite side = 24

Measure of hypotenuse = 25

Therefore, sinθ = \frac{24}{25} will be the answer.

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3 years ago
If a translation maps ∠D onto ∠B, which of the following statements is true? triangle CAB, point E is on segment AC between poin
mrs_skeptik [129]

Answer:

The correct option is;

ΔCED ~ ΔCAB

Step-by-step explanation:

Given that the translation maps angle ∠D to angle ∠B, we have;

Angle ∠D is congruent to ∠B (Given)

Segment ED is parallel to segment AB (lines having similar angles to a common transversal)

Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)

∠C is congruent to ∠C reflexive property

Therefore, we have;

∠C ≅ ∠C

∠E ≅ ∠A  

∠D ≅ ∠B

Which gives ΔCED is similar to ΔCAB (not ΔCBA)

4 0
3 years ago
At the beginning of its route, a garbage truck accelerates at 10ms2 as it is driven down the road. By the end of the route, the
Dmitry [639]

Answer:

2.5\ m/s^2

Step-by-step explanation:

Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.

Force(F)=Mass(m)\times Acceleration(a)

Initially:

Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m

At the end of the road:

Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma

Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2

8 0
2 years ago
A motorboat can go 16 miles downstream on a river in 20 minutes. It takes 30 minutes for this boat to go back upstream the same
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Answer:

A) d = 48t, d in miles, t in hours

B)d = 32t, d in miles, t in hours

C)y = 8 mph

Step-by-step explanation:

16 miles in 20 mins = 48 mph

16 miles in 30 mins = 32 mph

The boat speed is the average = (48 + 32)/2 = 40 mph

The current is the difference = 8 mph

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Which of the following will NOT improve your credit score?
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