Answer:
<h3>
a = (2mz - 3m)/4</h3>
Step-by-step explanation:
2z = 4a/m +3
-3 -3
2z - 3 = 4a/m
×m ×m
(2z -3)m = 4a
÷4 ÷4
[(2z -3)m]/4 = a
a = (2mz - 3m)/4
Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.
Answer:
Final mean value = 24.
Mean value decreased by 6 finally.
Step-by-step explanation:
Total number of restaurant initially = 4
Mean number of tables in restaurants = 30
So, total number of tables in restaurants = 4×30 = 120
Now,
He buys 2 new restaurants with 15 tables and 9 tables .
So, final number of tables = 120 + 15 + 9 = 144.
And, final number of restaurants = 4 initially + 2 newly added = 6 restaurants.
Thus , final mean value of tables in restaurants = 
= 24.
Thus , mean value decreased by 6 finally
176ft^2 first
141.3ft^2 second
Answer:
$900
Step-by-step explanation:
Use the formula for simple interest: i = p r t, where i is the interest earned, p is the principal amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here, i = $27 = p(0.015)(2), or
$27 = 0.03p
Dividing both sides by 0.03, we get:
p = $27 / 0.03 = $900
The principal, in this situation, was $900.
