Answer:
7 years
Step-by-step explanation:
Given that:
Let Richard's age = x
Elder sister's age = 2x
Youngwr sister's age = x - 2
Product of sisters ages = 70
2x * (x - 2) = 70
2x² - 4x = 70
2x² - 4x - 70 = 0
x² - 2x - 35 = 0
x² - 7x + 5x - 35 = 0
x(x - 7) +5(x - 7) = 0
(x - 7) or (x + 5) = 0
x = 7 or x = - 5
X can't be negative
Hence, x = 7
Richard is 7 years
Answer:
B) 63°
Step-by-step explanation:
<u>Step 1:</u> find the angle beside x (inside the pentagon)
<em>*A pentagon has a total of 540°</em>
119 + 100 + 116 + 88 = 423
540 - 423 = 117
<u>Step 2:</u> x is a supplementary angle, which means it's angle adds up to 180°
Since we know the other angle is 117°, we just subtract that from 180
180 - 117 = 63
x = 63
Obviously, it's not rational, because it's the sum of two square roots, so cancel out A and B right away.
If we solve it
sqrt (18) + sqrt (2)
= sqrt (9*2) + sqrt (2)
= 3 sqrt (2) + sqrt (2)
= 4 sqrt (2)
D :D
Answer:
9.28 is lowest
9.685 is highest
Step-by-step explanation:
Hypotenuse ^2 = base^2 + perpendicular ^2
H^2 = 6^2 + 8^2
H^2 = 36 + 64
H^2 = 100
H = 10
(This is a right angle triangle as 60+30= 90
180-90= 90)
