Answer:
see below
Step-by-step explanation:
1st: x
2nd: 5x + 8
x(5x + 8) = 36
5x² + 8x = 36
5x² + 8x - 36 = 0
(x - 2)(5x + 18) = 0
(x - 2) = 0
x - 2 = 0
x = 2
1st: x = 2
2nd: 5x + 8 = 5(2) + 8 = 18
(5x + 18) = 0
5x + 18 = 0
5x = -18
x = -3.6
1st: x = -3.6
2nd: 5x + 8 = 5(-3.6) + 8 = -18 + 8 = -10
V=PiR^2H/3
Pi = 3.14 (use pi symbol on calculator)
R is the radius if the cones bottom
H is the height of the cone
Answer:
thirteen hundredths=13/100
one hundred thirty thousandths=130/1000
cancelling by 10 this is =13/100
hence the question
Step-by-step explanation:
Answer;
C) The second arc should be centered at C.
Explanation;
Assuming the goal is to construct a line parallel to AB that passes through given point C.
-Draw a line through C and across AB at an angle creating D.
- With the compass width about half of DC, and center D, draw the first arc to cross both lines.
-Using the same compass width , draw the second arc with center C.
-Then set the compass width to the lower arc (the first arc)
- Move the compass to the second arc. Mark off an arc to make point E
-Draw a straight line through C and E
Thus the line CE will be parallel to line AB
Answer:
The envelop is 15.49 inches tall
Step-by-step explanation:
To find how tall the envelop is, we will follow the steps below;
We can use Pythagoras theorem formula to find the height of the envelop'
adjacent =width of the envelop= 11 inches opposite= height (h) of the evelope = h and hypotenuse = diagonal of the envelop= 19 inches
Using Pythagoras theorem;
opposite² + adjacent² = hypotenuse²
h² + 11² = 19²
h² + 121 = 361
subtract 121 from both-side of the equation
h² + 121-121 = 361-121
h² = 240
Take the square root of both-side
√h² =√ 240
h≈15.49 inches
The envelop is 15.49 inches tall
