Answer:
21.9°
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
We solve this above question using the Sine rule
a/sin A = b/sin B
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.
Hence:
HI/∠J = JH/∠H
= 8/sin 90° = 1.9/sin ∠H
Cross Multiply
∠H = arc sin(sin 1.9 × 90/8)
∠H = 21.9°
Answer:
-2/5
Step-by-step explanation:
p(x) = 5x + 2
plug p(x) = 0
5x + 2 = 0
5x = - 2
x = - 2/5
T= number of minutes
Multiply 5 liters by number of minutes (t), then add the 17 liters already in the tank. This totals 72 liters or more.
17 + 5t ≥ 72
subtract 17 from both sides
5t ≥ 55
divide both sides by 5
t ≥ 11 minutes
ANSWER: Laura could add water for 11 minutes to be sure the tank has 72 liters or more.
Hope this helps! :)
since triangles are similar
4/x = 7x/7
=》 4/x = x
=》x^2 = 4
=》 x = 2
for right triangles a^2 = b^2+c^2
DF^2 = 7^2+2^2 = 53
=》 DF = 7.28
perimeter of DEF = 7 +2+7.28 = 16.28
