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2 years ago

Si el examen tenia 44 puntos y saque 40 ¿Que nota tengo?

Mathematics

1 answer:

Masteriza [31]2 years ago

7 0

Answer:

90%

Step-by-step explanation:

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

2 years ago

Find the measure of b.

Alika [10]

Answer:

b = 55°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended by the same arc, then

a = 0.5 × 110° = 55°

Angles on the circumference subtended by the same arc are congruent, so

b = a = 55°

5 0

2 years ago

MIKE NEEDS AT LEAST $100 TO BUY A NEW SUIT FOR THE DANCE.

Tanya [424]

Answer:

3x+10 = 100

100 - 10 = 3x

6 0

2 years ago

Greg rented a truck for one day there was a base fee of $16.99 and there was additional charge of $.89 for each mile driven Greg

julia-pushkina [17]

Let m represent the number of mile Greg drove. His rental charge was
207.45 = 16.99 + 0.89m
Subtract 16.99 and divide by 0.89
190.46 = 0.89 m
214 = m

Greg drove the truck 214 miles.

7 0

2 years ago

Write the slope-intercept form of 3x-2y=-16

Arada [10]

First bring 3x to the other side, which will give you -2y= -16-3y. Then divide everything by -2, which will give you y=8+3/2x

8 0

3 years ago

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