Step-by-step explanation:
It's a question of trigonometry.
You need to remember that tangent (tan) stands for Perpendicular / Base.
So, tan P = QR / PR
By Pythagoras Theorem,
34² = 30² + x²
x² = 34² - 30²
x² = 1156 - 900
x² = 256
x = 16
Now, placing the values,
tan P = 30 / 16
tan P = 1.875
HOPE IT HELPS ^_^
Volume = <span>πd^2h/4
245 = </span><span>π x d^2 x 5/4
d^2 = (245 x 4)/5</span><span>π = 62.39
d = sqrt(62.39) = 7.9 units
</span>
Answer:
5.6 gallons.
Step-by-step explanation:
If we take x gallons of 25% grape juice then it will contain
gallons of pure grape juice.
Again, if we take y gallons of 75% grape juice then it will contain
gallons of pure grape juice.
If we mix them then the total volume will become x + y = 7 gallons ...... (1)
Again the mixture will become 35% juice.
So,
⇒ 0.25x + 0.75y = 0.35x + 0.35y
⇒0.1x = 0.4y
⇒x = 4y........ (2)
Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons
Hence, x = 4y = 5.6 gallons
Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)
Answer:
550
Step-by-step explanation:
1100/2=550
(can I get brainliest please)