Answer:
b1 = 9 cm
Step-by-step explanation:
The formula for area of a trapezoid is
A = 1/2 (b1+b2) *h
We know Area = 135 CM ^2, Height = 10 CM, b2 = 18 cm
Substituting these in
135 = 1/2 (b1+18) *10
Multiply 1/2*10
135 = 5 (b1+18)
Divide both side by 5
135/5 = 5/5 (b1+18)
27 = b1+18
Subtract 18 from each side
27-18 = b1+18-18
9 = b1
Answer:
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
A) From the information given,
P = $800
r = 4.5% = 4.5/100 = 0.045
t = 5 years
Therefore,
A = 800 x e^(0.045 x 5)
A = 800 x e^(0.225)
A = $1002
B) For it to double,
A = 2 × 800 = 1600
Therefore,
1600 = 800 x e^(0.045 x t)
1600/800 = e^(0.045t)
2 = e^(0.045t)
Taking ln of both sides, it becomes
Ln2 = 0.045t
0.693 = 0.045t
t = 0.693/0.045
t = 15.4 years
The greater than 3 means that the graph will have a shaded region for when the absolute value of (x+1) is greater than 3.
The absolute value means that we are interested in the magnitude of x+1. That means that the the graph will be shaded where x+1 > 3, and where -x-1 > 3
If we solve both of these for x, we get:
x > 2 and x < -4
So the graph will look like the attached picture. Notice that the vertical lines are dotted rather than solid. This means that we are dealing with a greater than sign, not a greater than or equal to.
Answer:
Form aray
Step-by-step explanation:
Neither form a line and it also have both parts and perpendicular
Answer:
68 degrees
Step-by-step explanation:
The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.
A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68
Two different ways, either will work
Hope this helps!
