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3 years ago

Sophia scored 92% in a math test. If the test had 50 questions, how many did she get right? *

Mathematics

1 answer:

zloy xaker [14]3 years ago

6 0

Answer:

46 questions correct

Step-by-step explanation:

100% = 50 questions
2% = 1 question
92% = 46 questions

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The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in fourth quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

$\theta_1$ is in 4th quadrant so $sin\theta_1$ is negative.

So, value of $sin\theta_1 = - \frac{2\sqrt{70}}{19}$

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3 years ago

The truck is going to be packed with washing machines. These measure 5 ft. by 5 ft. by 6 ft. How many washing machines can be pa

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Answer:

I will answer

Step-by-step explanation:

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SIZIF [17.4K]

Answer:

I believe its 20% or 20/100 or 1/5

Step-by-step explanation:

i mean, 20% is 20/100 or 1/5. the number already a fraction. the denominator is out of 100.

20% = 20/100

then you change it to simpliest form.

20 / 20 = 1

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3 years ago

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Step-by-step explanation:

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