Answer:
∠ QPR = 64.5°
Step-by-step explanation:
The chord- chord angle QPR is half the sum of the arcs intercepted by the angle and its vertical angle, then
∠ QPR = 
(QR + ST ) = (98 + 31)° = 0.5 × 129° = 64.5°
Answer:
43ft
Step-by-step explanation:
<em>side a = x ft</em>
<em>side b = 10 ft</em>
<em>side c = 18 ft</em>
x = 14.967
rounds to = 15
10 + 18 + 15 = 43
<u>43 ft of fence needed</u>
a = amount (in oz) of solution A
b = amount of solution B
The scientist wants a mixture of 110 oz, so
a + b = 110
Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So
0.65 a + 0.9 b = 82.5
Solve for a and b:
b = 110 - a
0.65 a + 0.9 (110 - a) = 82.5
0.65 a + 99 - 0.9 a = 82.5
0.25 a = 16.5
a = 66 ==> b = 44
5.4 * 10³ = 5,400 is your Answer
Answer:
Step-by-step explanation:
She poured ⅔×2 = 4/3 qt into the second bottle.
Her bottle holds 2×4/3 = 8/3 qt
