V = -14.4
hope this helps : )
Answer:
At 53 mph, he traveled for 1.5 hours
At 58 mph, he traveled for 2 hours
Step-by-step explanation:
Mathematically;
distance = speed * time
let the time for the first part of the trip be x hours and the second part be y hours
Total hours is 3.5
So therefore;
x + y = 3.5 ••••••••(i)
Now let’s work with the rate
53 mph for x hours = 53 * x = 53x miles
58 mph for y hours = 58 * y = 58y miles
Adding both;
53x + 58y = 195.5 miles ••••••••(ii)
We have two equations to solve simultaneously
From i, x = 3.5 - y
insert into ii
53(3.5-y) + 58y = 195.5
185.5 - 53y + 58y = 195.5
5y = 195.5-185.5
5y = 10
y = 10/5
y = 2 hours
x = 3.5 - y
x = 3.5 - 2
x = 1.5 hours
Answer is
tan º = 16/x
16/tan 33=x
x=24.637
Answer:
The answer is B
Step-by-step explanation:
Since we already know that angle A and D are congruent, if angles C and F were also congruent, we can prove the triangles are similar through AA, meaning the triangles have 2 sets of corresponding congruent angles. The other option D doesn’t work because if we were going off on using the sides as a way to prove similarly, than all 3 sides of one triangle would need to be proportional and corresponding to the other 3 of the other triangle (which is not given, so that info isn’t enough, option D only gives us 2 sides of each triangle)
Hope this helped ~~
Answer:
The area is 12.56, and the circumference is 12.56.
Step-by-step explanation:
For the area,
We need to use the formula A=3.14*radius*radius
So we plug it in, and we get 3.14*2*2, which is 12.56 centimeters squared.
For circumference, we need to do,
C = 3.14*diameter
To find the diameter we need to do 2 (radius) x 2 which is 4
Plugging it in that would be 3.14 * 4 which is 12.56
So, in this case, the area is 12.56, and the circumference is also 12.56.
