The area of a circle of diameter d is given by
.. A = (π/4)d^2
so the area of a semicircle with that diameter will be half that.
The banner has area
.. (26 in)^2*(1 +π/8) ≈ 941.33 in^2
Step-by-step explanation:
5x can also be written as " -3x + 8x " so:
Using the distributive property:
Then again, using the distributive property (but in reverse):
The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.
For eg (because that was a bit text heavy):
The product of the last term and the first coefficient (1 * (-24)) is -24
the factors of -24 include (and their sum)
-1, 24 (23)
1, -24 (-23)
-2, 12 (10)
2, -12 (-10)
-3, 8 (5)
3, -8 (-5)
-4, 6 (2)
4, -6 (-2)
The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.
The height of the television given the length of its diagonal and its width is 55.6 inches
<h3>What the height of the tv?</h3>
The height of the television can be determined using Pythagoras Theorem.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
√95² - 77² = 55.6 inches
To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
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Answer:
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .
Step-by-step explanation:
Given -
The sample size is large then we can use central limit theorem
n = 50 ,
Standard deviation = 7.1
Mean = 110
1 - confidence interval = 1 - .98 = .02
= 2.33
98% confidence interval for the mean caffeine content for cups dispensed by the machine =
=
=
First we take + sign
= 112.34
now we take - sign
= 107.66
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .
Answer:
slope = -1.5
Step-by-step explanation:
A set of three or more points are said to be collinear if they all lie on the same straight line.
We have been given the following collinear set of points;
P(0, 3), Q(2, 0), R(4, -3)
This implies that P, Q, and R lie on the same line.
The slope of a line is defined as; (change in y)/(change in x)
Using the points P and Q, the slope of the line is calculated as;
(0-3)/(2-0) = -3/2 = -1.5