Answer:
24
Step-by-step explanation:
Let the number of mangoes owned by Tulsa be T and that by Julie be J
If Tulsa has 4 times as many mangoes as Julie then
T = 4J
Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie
T + 6 = 5J
Solve both equations simultaneously by substitution
4J + 6 = 5J
Collect like terms
6 = 5J- 4J
J = 6
Since
T = 4J
T = 4 * 6
= 24
Hence Tulsa had 24 mangoes at first
Answer:
a. x = 14
b. Perimeter = 77
Step-by-step explanation:
a. Based on the Triangle Proportionality Theorem:
Cross multiply
Add 2 to both sides
Divide both sides by 2
x = 14
b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7
Plug in the value of x
= (2(14) - 2) + 13 + 17 + 14 + 7
= 26 + 13 + 17 + 14 + 7
= 77
Answer:
A) <
angle X is greater .
Step-by-step explanation:
really don't know how to...
Answer:
-938 ft
Step-by-step explanation:
the bird will be going down in elevation. the distance between -422 and -1360
-1360+422= -938
Answer:
5 units
Step-by-step explanation:
The <u>volume of the cylinder</u> is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.
⇒ πr²h = Volume of cylinder
⇒ (π)(3²)(h) = 45π
Now, simplify the equation to evaluate the area of the cylinder.
⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)
⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units
