12-9=3
3+12+4,5=19,5
19 hours and 30 min
You need to know the properties of each function.
Tan is opposite (y) over adjacent (x). Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3 so it is located in quadrant 1.
The side of the triangle must be Adjacent=3 opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is
![\sqrt{\frac{1+cos}{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%5Cfrac%7B1%2Bcos%7D%7B2%7D%20%7D%20)
By following the formula, cos=3/5 then:
![\sqrt{ \frac{1- \frac{3}{5} }{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B1-%20%5Cfrac%7B3%7D%7B5%7D%20%7D%7B2%7D%20%7D%20)
Multiply everything (inside the square
![\sqrt{ \frac{5+3}{10} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B5%2B3%7D%7B10%7D%20%7D%20)
root) by 5
![\frac{2 \sqrt{2} }{ \sqrt{10} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5Csqrt%7B2%7D%20%7D%7B%20%5Csqrt%7B10%7D%20%7D%20%20)
![\frac{2 \sqrt{20} }{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5Csqrt%7B20%7D%20%7D%7B10%7D%20)
Then just simplify
![\frac{ \sqrt{20} }{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B20%7D%20%7D%7B5%7D%20)
The answer is Square root of 20 over 5
So 15 gallons of gas brought it from 1/8 full to 3/4 full.
Let's change 3/4 to the equivalent fraction 6/8 so that the denominators are the same. (3/4 = 6/8)
So 15 gallons of gas brought it from 1/8 to 6/8 Those 15 gallons must be 5/8 of the tank's capacity 6/8 - 1/8 = 5/8
So 15 is 5/8 of what number? (This will tell us the capacity of the whole tank)
15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8 = 15 x 8/5 = 18
So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.
Check - at first 1/8 full (1/8 of 24 = 3) So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons. Now the tank is 6/8 (3/4 full). The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons) so it will need 6 gallons to fill it up..
Answer:
See Below
Step-by-step explanation:
That rule is a transformation across the x-axys.
Assigne a letter to each point:
A = (2, 7) => A' = (2, -7)
B = (-5, -2) => B' = (-5, 2)
C = (4, -3) => C' = (4, 3)
Answer:
Angle at x is 75°
Step-by-step explanation:
Data :
Angle at A = 65°
Angle at B = 40°
According to the porperty of triangle we know that total interior angle a triangle has is 180° irrespect of type or size
A + B + C = 180
65 + 40 + C = 180
C = 180 - 65 - 40 = 75°
Mark brainliest if you understand