Answer:
Singer A generated $ 210 million in ticket sales and Singer B generated $ 184 million
Step-by-step explanation:
Let
x = number of millions of dollars generated by Singer A
y = number of millions of dollars generated by Singer B
Together, they generated $394 million
x + y = 394
Singer B took in $26 million less than Singer A
y = x - 26
We got a system of equations with two unknowns
x + y = 394
x - y = 26
We add them together
2x = 420
x = 210
y = (210) - 26 = 184
This means that
Singer A generated $ 210 million in ticket sales and Singer B generated $
184 million
Answer:
17.6 m²
Step-by-step explanation:
Given the ratio of similar shapes = a : b, then
area of shapes = a ² : b²
Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is
PT : PR = 6 : 9 = 2 : 3, thus
ratio of areas = 2² : 3² = 4 : 9
let the area of Δ PQT be x, then using proportion
= ( cross- multiply )
9x = 4(x + 22) ← distribute
9x = 4x + 88 ( subtract 4x from both sides )
5x = 88 ( divide both sides by 5 )
x = 17.6
Thus area of Δ PQT = 17.6 m²
Answer:
<h3>44 ft</h3>
Step-by-step explanation:
The set up will give a right angled triangle where;
Base of the triangle = 90 ft (distance of the offshore from the base of the house)
theta = 26 degrees (angle of elevation)
Height of the house will be the opposite side = x
Using the TOA trig identity;
tan 26 = opp/hyp
tan 26 x/90
x = 90tan 26
x = 90(0.4877)
x = 43.89 ft
Hence the nearest height of the house is 44ft
Answer:
c
Step-by-step explanation:
if you flop it over you can currently see which one it is