Given that the die-cast has been represented by 3/16 in to 1 foot, We are are required to calculate for the actual measure of a toy measuring 6.5 inches wide and 8.5 inches long;
the actual width will be given by:
(6.5÷3/16)×1
=34.66666667
=35 feet
The actual length will be given by:
(8.5÷3/16)×1
=45.333
=45 feet
Answer: 16 inches
Step-by-step explanation:
The area of a triangle = bh/2
where b = base = unknown
h = height = 5 3/4 inches
Area = 46 inches²
Therefore, 46 = base × 5 3/4 / 2
Cross multiply
46 × 2 = base × 5 3/4
92 = base × 5 3/4
Base = 92 ÷ 5 3/4
Base = 92 ÷ 23/4
Base = 92 × 4/23
Base = 4 × 4
Base = 16 inches
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 =
(find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
Answer:
Step-by-step explanation:
Both x and y are inscribed angles. The value of an inscribed angle is half the measure of its intercepted arc. This means that x has a value of 33°, and y has a value of 48°. That means that, according to the triangle angle sum theorem, the third angle has to equal 180 - 33 - 48 = 99°.
This angle is vertical with angle z, so angle z also equals 99°
Answer:
5 hours
Step-by-step explanation:
given :
Distance between the cities = 540 miles
Speed of motorcycle =48 mph
TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

By putting given values in the formula we get :

= 11.25 hours
Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle
⇒ 11.25 hours - 2.25 hours
⇒ 9 hours
Thus , Time taken by car to cover the same distance is 9 hours .
Now to calculate speed of car by using formula:


= 60 mph
Let t be the time taken to meet if they start moving towards each other.
So distance covered by motorcycle in t hours is
speed\times time
= 48t miles
Distance covered by car in t hours is
speed\times time
= 60t miles
⇒ 60t + 48t =540
⇒ 108t = 540
⇒ t= 5 hours
Therefore, time taken to meet if they start moving towards each other is 5 hours.