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3 years ago

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Mathematics

1 answer:

natima [27]3 years ago

6 0

a) What is the ratio girls to boys in the class?

Answer: 2 : 1

b) What is the ratio boys to girls in the class?

Answer: 1 : 2

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What’s the answer for this problem ?

Natali5045456 [20]

Answer:

theta = 0.245 radian or 14 degrees

Step-by-step explanation:

Note that the tangent of the angle theta is opp/adj = 12/48 = 1/4.

Using the inverse tangent function on a calculator, evaluate the above:

tan theta = 1/4 = 0.25. Then theta = 0.245 radian or 14 degrees, approximately

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3 years ago

Which of the following equations represents a parabola that opens up and has a vertex at (-4 5)

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A: y = 3(x + 4)^2 + 5

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Is 15.5 a rational number

Katyanochek1 [597]

Answer:

yes!

Step-by-step explanation:

a rational number is a number that you can get by a fraction, like in this case 31/2

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Evaluate the expression 64.3-3x2^3\2=

andrew11 [14]

The answer is 64.3-6^2x

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A rugby player passes the ball 7.75 m across the field, where it is caught at the same height as it left his hand. At what angle

prisoha [69]

Answer-

At 15.91° the ball was thrown.

Solution-

In the question it is given that the ball was released and caught from the same height.

We know that,

$R=\frac{u^{2}\sin 2\Theta}{g}$

Where,

R = Range of the projectile = 7.75 m,

u = Initial speed = 12 m/s

θ = Angle at which it was released

g = Acceleration due to gravity = 9.8 m/s²

Putting all the values,

$\Rightarrow 7.75 = \frac{12^{2}\sin 2\Theta}{9.8}$

$\Rightarrow \sin 2\Theta=\frac{7.75 \times 9.8}{144} =0.5274$

$\Rightarrow 2\theta=\sin^{-1} 0.5274=31.83 \ or \ 148.17$

$\Rightarrow \theta=\frac{31.83}{2} \ or \ \frac{148.17}{2} =15.91 \ or \ 74.08$

$\Rightarrow \theta=15.91^{\circ} \ (smaller \ angle)$

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