Step-by-step explanation:
initial speed = 272 ft/s
h = -16t² + 272t
a. 1120 = -16t² + 272t we change a bit into
16t² - 272t + 1120 = 0 then divide all with factor 16
t² - 17t + 70 = 0
(t - 10)(t - 7) = 0
t = 10 and t = 7
7 s when it goes up and 10 sec when the rocket goes down.
b. 1152 = -16t² + 272t we change a bit into
16t² - 272t + 1152 = 0 then divide all with factor 16
t² - 17t + 72 = 0
(t - 9)(t - 8) = 0
t = 9 and t = 8 sec
c. since the answer of a and b is:
7 sec and 8 sec the rocket goes up but at 9 sec and 10 sec the rocket goes down then we can take conclusion that the maximum height is reached at 8.5 s
so how long the rocket in the air?
goes up : 8.5 sec
goes down : 8.5 sec
total = 17 sec
Please retype this fraction. If by "---" you mean "subtraction," type 3/7-1/3.
Let's assume that the problem is as follows: (3/7-1/3)(2/3)-1/7;
first, find the LCD of 3/7 and 1/3 and then combine 3/7 and -1/3).
second, multiply your result by (2/3).
third, subtract 1/7 from your result.
If, however, your "---" and "-----" mean "division, then the above is all wrong.
If that's the case, then please retype your whole question.
You could express "the quotient of 2/3 and 1/6" as follows:
2
----
3
------------------------
1
-----
6
Is that what you meant?
Sorry to be picky, but it's very important that you express math properly.
a) The expression to find the sale price of pastry = 0.75 x
b) The regular price of the pastry bought by Kimberly = $2.70
Step-by-step explanation:
Step 1 :
Let x be the regular price of the pastry in the bakery
Percentage of discount = 25%
Amount of discount = 0.25 x
The expression to find the sale price of pastry = x - 0.25 x = 0.75 x
Step 2 :
Sale price of the pastry bought by Kimberly = $2.03 = 0.75 x
<u>To find the regular price</u>
0.75x = 2.03
x =
= 2.70
Regular price of the pastry bought by Kimberly = $2.70
Step 3 :
Answer :
a) The expression to find the sale price of pastry = 0.75 x
b) The regular price of the pastry bought by Kimberly = $2.70
A. 15-35=-20
b. -2+7=5
c. -10+14=4
d. 60-100=-40
Answer:
x = 68 degrees
Step-by-step explanation:
Step 1: We know this is a isosceles triangle
Since we know it is a isosceles triangle it has 2 of the same angle so the unknown side(not x) is 59
Step 2: Use the 2 angles to find 'x'
Angles in a triangle add up to 180 so we subtract 59 x 2 from 180 to get 68
Therefore angle x is 68 degrees