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Ne4ueva [31]
3 years ago
14

What is the quadrant of terminal angle for sin330°?

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

First, we know that sin330 will be in the 4th quadrant, as it lies between 270 and 360 degrees

Step-by-step explanation:

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Bobby read a total of 20 books over 2 months. If Bobby has read 90 books so far, how many months has he been with his book club?
tatuchka [14]

Step 1

From the question;

\begin{gathered} Bobby\text{ reads 20 books in 2 months} \\  \end{gathered}

We are required to find how many months it will take him to read 90 books

Step 2

We will use the ratio below to solve the problem.

\begin{gathered} \frac{20\text{ books}}{90\text{ books}}=\frac{2months}{x} \\ x=months\text{ to read 90books} \\ x=\frac{90\times2}{20} \\ x=9\text{ months} \end{gathered}

Answer; It will take Bobby 9months to read 90 booj

9\text{ months}

8 0
1 year ago
Marcus rode his bike 60 miles in 4 hours. Marcus thinks that in order to find the unit rate, he should determine how far he rode
ELEN [110]

Answer:

No, he is not correct

Step-by-step explanation:

To find the unit rate you need to .60 by 4. you will get 2.4, which is the

unit rate. he rides his bike 2.4 mph.

4 0
2 years ago
Verify the identity. cot x / 1 + csc x = csc x - 1 / cot x
svetlana [45]

Step-by-step explanation:

cot x / (1 + csc x)

Multiply by conjugate:

cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)

Distribute the denominator:

cot x (1 − csc x) / (1 − csc²x)

Use Pythagorean identity:

cot x (1 − csc x) / (-cot²x)

Divide:

(csc x − 1) / cot x

5 0
3 years ago
From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the d
mr_godi [17]

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

4 0
3 years ago
Find the slope of the line that would pass
Leno4ka [110]

Answer:

10

Step-by-step explanation:

Here we go!

Slope Formula:

\frac{ {y}^{2} -  {y}^{1}  }{ {x}^{2} -  {x}^{1} }

What we know: (-4, -52) and (-1, -22)

Plug in the numbers!

\frac{ - 52 - ( - 22)}{ - 4 - ( - 1)}

Fix it!

\frac{ - 52 + 22}{ - 4 + 1}

Add

\frac{ - 30}{ - 3}

Divide

(negative divided by a negative is a positive!!)

Slope is 10

Hope this helps!

4 0
3 years ago
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