Answer:
45.7miles per hour
Step-by-step explanation:
40mins = 2/3 hour
the bus travelled (2/3 x 40) miles = 80/3 miles
the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)
Answer:
27.73 cm squared
Step-by-step explanation:
In order to find the shaded region, we need to find the areas of the circle and the rectangle and then subtract the circle area from the rectangle area.
The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 7 and the width is w = 8. Plug these in:
A = lw
A = 7 * 8 = 56 cm squared
The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:
A = πr²
A = π * 3² = 9π ≈ 28.27 cm squared
Now subtract 28.27 from 56:
56 - 28.27 = 27.73
The answer is thus 27.73 cm squared.
The angles of a triangle should add up to 180 degrees. in the left triangle, you should find the 3rd angle
75 + 50 + y = 180
125 + y = 180
y = 55
vertical angles are congruent, so the left angle on the right triangle will also be 55 degrees.
then you do the same thing to find x.
85 + 55 + x = 180
140 + x = 180
x = 40
Explanation:
One formula for the area of a triangle is ...
Area = (1/2)ab·sin(C)
This presumes you know the measures of two sides and the angle between them. The Law of Sines is typically used where you know all the angles and only one side measure.
You would use the law of sines to find an additional side measure, then make use of the above formula for area.
Volume = (Area of the base)x(Height)
66.85 = 15(H)
66.85/15 = H
H = 4.4567
The height is 4.4567mm.