Answer:
Dasha has 52 roses
Step-by-step explanation:
Rewrite the first sentence in an equation: (D= Dasha) (A= Anna)
D=4A
Rewrite the second sentence in an equation:
A+39=D
1) Substitute A+39 as D in the first equation:
A+39=4A
2) Subtract A from both sides:
3A=39
3) Divide both sides by 3:
A=13
4) Now substitute 13 as A in the second equation:
13+39=D
5) Solve:
D=52
Let's assume that the faster car has a 2 mile "head start".
The faster car is 1.2 times faster (48/40) than the slower car.
It will take five 2 mile trips to "catch" the other car.
Five 2 mile trips will take 5 * 40 seconds = 200 seconds.
Answer:
answer
Step-by-step explanation:
The proper answer to this question is "21378.6".
Reason:
2.13786 *10^4
Answer:
XZ = 26.7
ZY = 11.7
Area = 140.4 sq inches
Step-by-step explanation:
m∠Z = 180-(26+90) = 64°
to get XZ you can use the law of sines:
sin 90°/XZ = sin 64°/24
1/XZ = sin(64°)
cross-multiply to get:
XZ·sin(64°) = 24
XZ = 24/sin(64°)
XZ = 26.7
to get ZY you can use the law of sines again:
sin 64°/24 = sin 26°/ZY
cross-multiply to get:
ZY·sin(64°) = 24·sin(26°)
ZY = 24·sin(26°) ÷ sin(64°)
ZY = 11.7
Area = 1/2(11.7)(24)
= 12(11.7)
= 140.4 sq inches