Step-by-step explanation:
5.
angle STQ is the supplementary angle (together they are 180° below line MQ) to 2x + 8.
above ST we have a group of 3 angles that combine to 180° :
2x + 8
90°
71 - x
so, to get x first :
2x + 8 + 90 + 71 - x = 180
x + 169 = 180
x = 11
so, the angle MTS =
2x + 8 = 2×11 + 8 = 22 + 8 = 30°.
6.
therefore, the angle STQ is
180 - angle MTS = 180 - 30 = 150°.
Answer:
5 miles
Step-by-step explanation:
To find how many miles it is from the train station to the museum we first have to subtract the tip from the total fair and you get 13.50 and then you divide 13.50 by 2.70 to get the number of miles and you get 5.
Answer:
suuurrre vast resvon!!!!!!!!
Answer:
Option A. ![f(x)=86[1.04]^{x}](https://tex.z-dn.net/?f=f%28x%29%3D86%5B1.04%5D%5E%7Bx%7D)
; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
we have
where
f(x) the number of weeds in the garden
x ----> the number of weeks
Calculate how quickly the weeds grow each day
Remember that a week is equal to seven days
so
Using the law of exponents
b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
so
![f(x)=86[(1.29)^{\frac{1}{7}}]^{x}](https://tex.z-dn.net/?f=f%28x%29%3D86%5B%281.29%29%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%5D%5E%7Bx%7D)
therefore
The rate is approximately
1.04=1+r
r=1.04-1=0.04=4% daily
Answer:
1/8
Step-by-step explanation:
sin²(π/8) − cos⁴(3π/8)
Use power reduction formulas:
1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))
Simplify:
1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))
1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)
1/2 − √2/4 − 1/8 (3 − 2√2)
1/2 − √2/4 − 3/8 +√2/4
1/2 − 3/8
1/8
