We are given with the following value:
AB = BC =90 cm
∠B =25°
∠D=90°
Solving the ∠C:
180 ° = (∠B/2) + ∠D +∠C
180° = (25°/2) + 90° + ∠C
180° - 12.5° -90° = ∠C
∠C = 77.5°
Solving for length in mD:
sin 77.5° = mD/90
mD = 90 sin77.5°
mD = 87.87
Solving for mDC:
cos 77.5 = mDC/90
mDC = 90 cos 77.5°
mDC = 19.48
Area = 1/2 * Base * Height
Area = 1/2 * 19.48*87.87
Area = 855.834
The total area of triangular pennant = 2 x 855.834 = 1,711.67 cm².
The area is 1,711.67 cm².
Answer:
5 shirts must be sold.
Step-by-step explanation:
First, set up the equation. Each shirt (x) is sold for $16:
For every amount (y) for x: (y)(x) = (16)(y)
The cost is $4, with the setup fee as $60.
(16)(y) = (4)(y) + 60
16y = 4y + 60
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. First, subtract 4y from both sides.
16y (-4y) = 4y (-4y) + 60
16y - 4y = 60
12y = 60
Next, isolate the variable (y). Divide 12 from both sides.
(12y)/12 = (60)/12
y = 60/12
y = 5
5 shirts must be sold.
To check, plug in 5 for y in the equation:
16y = 4y + 60
16(5) = 4(5) + 60
Simplify.
16(5) = 4(5) + 60
80 = 4(5) + 60
80 = 20 + 60
80 = 80 (True).
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Answer:
Step-by-step explanation:
I believe it would be 13+13+13+13=52 because all side of a square are equal
Answer:
a)
b)The p value for this case can be founded like this:
Step-by-step explanation:
We have the following data given:
Number of items (x): 40 30 70 90 50 60 70 40 80 70
Labor (hours) (y): 82 60 139 180 99 119 140 73 157 146
And in order to calculate the correlation coefficient we can use this formula:
For our case we have this:
n=10
So then the correlation coefficient would be r =0.997
Part a
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic is gven by:
And is distributed with n-2 degrees of freedom. df=n-2=10-2=8
Part b
The p value for this case can be founded like this:
Is a very low value so we have enough evidence to reject the null hypothesis.