Answer:72,000
Step-by-step explanation:
= 4800 × 15
Answer:
∠YXZ = 62°
Step-by-step explanation:
A straight line measures 180 degrees
The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:
Z + 8x - 14 = 180
Z = 180 +14 - 8x
Z = 194 - 8x
Sum of 3 angles of a triangle is 180 degrees, thus we can write:
X + Y + Z = 180
3x + 5 + 4x + 194 - 8x = 180
Now, we solve for x:

The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:
3x + 5
3(19) + 5
62
Thus,
∠YXZ = 62°
Answer: Three quarters (30 ml) is made up of a 36% acid solution.
Step-by-step explanation:
Since we have given that
Total amount of solution = 40 ml
One- quarter of the solution is given by

Three-quarter of the solution is given by

According to question, we have
10 ml of solution is made up of = 20% of acid solution
30 ml of solution is made up of = say<em> 'c </em>' of acid solution
40 ml of solution is made up of = 32 % of acid solution
So, our equation becomes,

Hence, three quarters (30 ml) is made up of a 36% acid solution.
Answer:
Not Proportional
Step-by-step explanation:
Answer:
3676.44 rad/min
Step-by-step explanation:
It is a problem about the angular speed of the car's wheel.
You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:
( 1 )
v: speed of the car = tangential speed of the wheels = 47mph
r: radius of the wheels = 27/2 in = 13.5 in
you change the units of the speed:

next, you replace the values of v and r in the equation (1):

Then, the car's tires are turning with an angular speed of 3676.44 rad/min