Answer:
(0.118, 4.882)
Step-by-step explanation:
If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;
Distance = Speed * time
da = 120m
If he drives n hours at 18km/hr;
db = 18 * n
db = 18n
Speed of the motorist altogether is expressed as;
Speed =78km/5hrs
Speed = 15.6km/hr
SInce the total distnce is 78km
120m + 18n = 78 ....1 ..... * 1
If total time is 5hrs
m + n = 5....2 ...*18
Solve simultaneously
120m + 18n = 78
18m + 18n = 90
Subtract
120m - 18m = 78-90
102m = -12
m = 0.118 hrs
m =
Since m + n = 5
n = 5 - m
= 5 - 12/102
n = 4.882
Hence (m,n) is (0.118, 4.882)
Answer:
70 cm
Step-by-step explanation:
Answer:
47.45754235
31.46697634
Hey do you need to show your work for these? I found an answer key
Step-by-step explanation:
We need to use law of cosines
c²=a²+b²-2abcos(C)
let x= angle xzy
plugging in what we have the equation looks like
17²=22²+20²-2*22*20*cos(x)
289=484+400-880cos(x)
.676136364=cos(x)
x=47.45754235
b.)
The smallest angle should be opposite to the smallest side
Using the law of cosines again we get
9²=13²+17²-2*13*17*cos(x)
81=458-442cos(x)
.852941176=cos(x)
x=31.46697634
56.70 because 35%of $42 is 14.70 and if you add those two together you get 56.70
4. B
5. B
6. D
Step-by-step explanation:
4. The radius is 3 units (3 boxes). So you do pi*r^2 = 3.14*9
5. You want the area of the box minus the area of the two circles.
Height of the box is 8 (bottom of circle to the top is two times the radius). Width of the box is 16 (left end of the left circle to the right end of the right circle) so 4 times the radius of the circles. Area of box is 128
Area of each circle is 3.14*(16). So you do 128 - 2*3.14*16.
6. Just plug in the radius 9 to the area of a circle formula: pi*radius^2 = 81*pi
