9514 1404 393
Answer:
36°
Step-by-step explanation:
The two halves of the bisected angle are congruent:
∠PQS = ∠RQS
3x = 2x +6
x = 6 . . . . . . . . . . subtract 2x
3x = 3(6) = 18 . . . . . half of angle PQR
∠PQR = 2(18°) = 36°
A variable is just a letter or symbol that symbolizes a number
Therefore, B. 6x is a number multiplied by a letter (product).
168
132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168
We need to solve for the total amount of money that Bianca has. But we need to consider that the total amount that Roberto has is 11 times as much money as Bianca had.
Roberto's total money is $88.
We assigned "x" variable to represent the amount that Bianca has.
Such as we can right the phrase "11 times as Bianca has" into "11X".
We have the complete expression as 88 = 11X and solving for X value, we need to divide both sides by 11.
88 / 11 = 11x / 11
8 = x
The total amount that Bianca has is $8.
Answer:
3139.5 m²
Step-by-step explanation:
the formula for the volume of a sphere of radius r is V = (4/3)πr³. In this particular case, V = 2098π m³ = (4/3)πr³, and from this we can calculate the radius, r:
2098π m³
r³ = ----------------- = (3/4)(2098 = 1483/5
(4/3)π
Thus r = ∛1573.5 m³ = 11.64 m
Then the surface area is A = 4πr², which in this case is
A = 4(3.14159)(11.64 m)^2 = 1702.6 m² (which is to the nearest tenth).
