1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klemol [59]
3 years ago
7

I really need help on this question, because I forgot of how to find the angle of each variable.​

Mathematics
1 answer:
juin [17]3 years ago
8 0

Answer:

a = 38 degree

b = 54 degree

c = 54 degree

Step-by-step explanation:

a = 180 - 142 = 38 ( angle on a straight line is equal to 180)

To determine the value of b, we have to find the other missing angle in the triangle.

the value of the missing angle is 38

Alternate angles are equal. the missing angle is alternate to angle b which has a value of 38

b = 180 - (38 + 88) = 54

c = 54

You might be interested in
Find the value of x in the triangle shown below 4 9
Korolek [52]
Where is the triangle?
3 0
3 years ago
Read 2 more answers
In Exercise find the derivative of the functions.<br> f(x) = t - 2/(t)1/2
Dominik [7]

Answer:

1+4(1/t^2)

Step-by-step explanation:

The derivative is defined as the term multiplied by its power and 1 subtracted from its power.

f(x)=t-2/(t^(^1^/^2^))

The derivative of t is just 1. The second term is:

2\cdot(-1/2)/(t^(^3^/^2^))

3 0
3 years ago
Given that sec (x) = 2 and cosec (x) is negative,
weeeeeb [17]

Answer:

i) sin(2x) = -\frac{\sqrt{3}}{2}

ii) cot(x+360) = -\frac{\sqrt{3}}{3}

iii) sin(x-180) = \frac{\sqrt{3}}{2}

Step-by-step explanation:

sec(x) = 2

Since cos(x) is reciprocal of sec(x), this means:

cos(x) = \frac{1}{2}

cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.

Part i)

sin(2x) can be simplified as:

sin(2x) = 2 sin(x) cos(x)

First we need to find the value of sin(x). According to Pythagorean identity:

sin^{2}(x)=1-cos^{2}(x)\\\\ sin(x)=\pm \sqrt{1-cos^{2}(x)}

Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:

sin(x)=- \sqrt{1-cos^{2}(x)}\\\\ sin(x)=-\sqrt{1-(\frac{1}{2})^{2}}\\\\ sin(x)=-\frac{\sqrt{3}}{2}

So,

sin(2x)=2 \times -\frac{\sqrt{3} }{2} \times \frac{1}{2}\\\\ sin(2x)=-\frac{\sqrt{3}}{2}

Part ii)

We have to find cot(x + 360)

An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.

cot(x + 360) = cot(x)

cot(x) = \frac{cos(x)}{sin(x)}\\

Using the values, we get:

cot(x)=\frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2} }\\\\ cot(x)=-\frac{\sqrt{3}}{3}

Part iii)

We need to find the value of sin(x - 180)

sin(x - 180) = - sin(x)

Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.

So,

sin(x - 180) = -(-\frac{\sqrt{3}}{2}) = \frac{\sqrt{3}}{2}

6 0
3 years ago
How to turn a fraction to a real number
ohaa [14]

Answer:

Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s. Step 2: Multiply both top and bottom by that number.

Step-by-step explanation:

3 0
3 years ago
The number of pies available for sale at the Pie in the Sky Bakery varies over the course of the day, and given by P(t)=30-2t^2+
almond37 [142]

Answer:

30-2t^2+16t/t

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Rosa has 15 quarters and 10 nickels. She buy juice from a store for herself and her friends. The juice costs 35 cents per can. S
    12·1 answer
  • The formula for the lateral area of a pyramid is A = 1/2pl. What is p in terms of A and l ?
    11·1 answer
  • Which term does not belong in this series?
    12·1 answer
  • A book is marked 30% off. If the original price is $12.64, how much will the sales price be? Round to the nearest cent.
    7·1 answer
  • For the following exercises, find a formula for an exponential function that passes through the two points given. (0,6) and (3,7
    13·1 answer
  • Can anyone help me with this math equation plsss?
    7·1 answer
  • Please I will give brainylest if the answer is correct
    14·1 answer
  • Find the value of y/3 + 11 = y/2 - 3
    6·1 answer
  • Solve: 5x-4=6 please help meee
    11·2 answers
  • I needed to write something long enough
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!