Answer:
4.3cm
Step-by-step explanation:
the radius of the hemisphere can be determined its volume
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
(2/3) x (22/7) x( r^3) = 165 cm^3
44/21 x r^3 = 165
divide both sides of the equation by 21/44
165 x 21/44
r^3 = 78.75
find the cube root
r = 4.2863 cm
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the 100th terms, 8 is greater than 6, so add 1 to 2. this give 4.3cm
Answer: w ≤ 14 cm , L ≤ 42 cm
<u>Step-by-step explanation:</u>
width (w): w
Length(L): 3w
Perimeter (P) = 2w + 2L
P ≤ 112
2w + 2L ≤ 112
2(w) + 2(3w) ≤ 112
2w + 6w ≤ 112
8w ≤ 112
w ≤ 14
The required equation is <u>135 + 9x > 250</u>.
The number of lawns Ed must mow is assumed to be x.
The amount Ed charges for each lawn he mows is $9.
Thus, the total amount Ed earns by mowing x lawns = $9x.
The savings which Ed has is $135.
Thus, the total amount Ed will have to spend can be written as the expression, $(135 + 9x).
The cost of the video game is given to be $250.
We are asked to write an equation, that can be used to find the number of lawns Ed mow, that is x so that the amount Ed has will be more than the amount he needs to buy the video game.
This can be shown as the equation:
Total amount Ed has > Cost of the video game,
or, 135 + 9x > 250.
Thus, the required equation is <u>135 + 9x > 250</u>.
Learn more about writing equations at
brainly.com/question/25235995
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Answer:it will take 9 days for both actors to charge the same amount.
Step-by-step explanation:
Let x represent the number of days it will take the cost of hiring either actor A or actor B to be the same.
Let y represent the cost of hiring actor A for x days.
Let z represent the cost of hiring actor B for x days.
Actor A is offering her services for initial $250 in addition to $40 per day. It means that
y = 250 + 40x
Actor B is offering her services for an initial $160 in addition to $50 per day. It means that
z = 160 + 50x
To determined the number of days when both costs would be the same, we would equate equation y to equation z. It becomes
250 + 40x = 160 + 50x
50x - 40x = 250 - 160
10x = 90
x = 90/10 = 9
Answer:
144
Step-by-step explanation:
First subtract 180 from 20% of 180.
180 - (20/100 x 180) = 180-36 = 144