Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to , we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:
Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.
The final step is to divide them. They are both fractions so you should multiply by the reciprocal.
Answer:
51
Step-by-step explanation:
a squared+2 squred=c
7×7- 10×10= 49-100= 51
c= 51
find square root of it 51= 7.14
The answers to the first two systems of equations
Greetings!To find the length of any side of a
right triangle, you can use the
Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal
0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
I hope this helped!
-Benjamin
Answer:
the total amount spent is $31.68
Step-by-step explanation:
The computation of total amount spent as follows:
= 1.4 pounds × $9.15 + 0.8 pounds × $10.75 + 2.6 pounds × $3.95
= $12.81 + $8.6 + $10.27
= $31.68
hence, the total amount spent is $31.68
We simply apply the pounds with its price