Answer:7/8
A coin is tossed 3 times. The probability of getting at least one head is 7/8.
The question is asking for the cubic feet inside the prism, which means it wants the volume.
The volume equation is:
Volume= length x width x height
The issue is: the measurements of the prism are given to us in inches, while the problem asks for feet. We just need to convert each measurement, by dividing each by 12, since there are 12 inches per foot.
40 inches/12=3.33 feet
45 inches/12=3.75 feet
30 inches/12=2.5 feet
Now, we just have to plug in the numbers we found to solve for the volume.
V=(3.33 feet)(3.75 feet)(2.5 feet)
V=31.22 cubic feet
The radius of the circle of the circle equation (x + 3/8)^2 + y^2 = 1 is 1 unit
<h3>How to determine the radius of the circle?</h3>
The circle equation of the graph is given as:
(x + 3/8)^2 + y^2 = 1
The general equation of a circle is represented using the following formula
(x - a)^2 + (y - b)^2 = r^2
Where the center of the circle is represented by the vertex (a, b) and the radius of the circle is represented by r
By comparing the equations (x - a)^2 + (y - b)^2 = r^2 and (x + 3/8)^2 + y^2 = 1, we have the following comparison
(x - a)^2 = (x + 3/8)^2
(y - b)^2 = y^2
1 = r^2
Rewrite the last equation as follows:
r^2= 1
Take the square root of both sides of the equation
√r^2 = √1
Evaluate the square root of 1
√r^2 = 1
Evaluate the square root of r^2
r = 1
Hence, the radius of the circle of the circle equation (x + 3/8)^2 + y^2 = 1 is 1 unit
Read more about circle equation at:
brainly.com/question/1559324
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What in the world.. weirdest thing that i saw today
Answer:
24
Step-by-step explanation:
4a+2b= 86 cm
a²+b²= 386 cm²
a+b=?
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- 4a+2b= 86
- 2a+b= 43
- (2a+b)²=43²
- 4a²+4ab+b²=1849
b²= 386- a², b= 43- 2a
- 4a²+4a(43-2a)+386-a²-1849=0
- 4a²+172a-8a²-a²-1463=0
- -5a²+172a-1463=0
- 5a²-172a+1463=0
solving quadratic equation we get
a=19 - integer solution
b= 43-2*19= 5
a+b=19+5=24
