Answer:
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Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A (
) = 3 hours
Time taken by Machine B (
)= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula = ![\frac{T_{A} {T_{B} } }{T_{A} + T_{B} }](https://tex.z-dn.net/?f=%5Cfrac%7BT_%7BA%7D%20%7BT_%7BB%7D%20%7D%20%7D%7BT_%7BA%7D%20%2B%20T_%7BB%7D%20%7D)
Put the values in above formula we get
⇒ T = ![\frac{3 x}{3 + x}](https://tex.z-dn.net/?f=%5Cfrac%7B3%20x%7D%7B3%20%2B%20x%7D)
⇒ 12 = ![\frac{3 x}{3 + x}](https://tex.z-dn.net/?f=%5Cfrac%7B3%20x%7D%7B3%20%2B%20x%7D)
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
All Angles Added: 180
Measures of Idiviudual Angles
A=70 C=70 B=40
-------------------------------------------------------------------------------
Step-by-step explanation:
All angles of a triangle when combined must equal 180 degrees.
Since the triangle is an isosceles triangle, at least 2 sides must be congruent meaning that A=C since the triangle is not equilateral.
Answer:
(3, 0) and (5, 0)
Step-by-step explanation:
we have
![y=x^{2}-8x+15](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D-8x%2B15)
we know that
The x-intercepts are the values of x when the value of y is equal to zero
so
For y=0
![x^{2}-8x+15=0](https://tex.z-dn.net/?f=x%5E%7B2%7D-8x%2B15%3D0)
The formula to solve a quadratic equation of the form
is equal to
![x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%20%7B2a%7D)
in this problem we have
so
![a=1\\b=-8\\c=15](https://tex.z-dn.net/?f=a%3D1%5C%5Cb%3D-8%5C%5Cc%3D15)
substitute in the formula
![x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-8%29%5Cpm%5Csqrt%7B-8%5E%7B2%7D-4%281%29%2815%29%7D%7D%20%7B2%281%29%7D)
![x=\frac{8\pm\sqrt{4}} {2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%5Cpm%5Csqrt%7B4%7D%7D%20%7B2%7D)
![x=\frac{8\pm2} {2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%5Cpm2%7D%20%7B2%7D)
![x=\frac{8+2} {2}=5](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%2B2%7D%20%7B2%7D%3D5)
![x=\frac{8-2} {2}=3](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8-2%7D%20%7B2%7D%3D3)
so
x=3, x=5
therefore
The x-intercepts are (3,0) and (5,0)
Answer:
2.5 ft.
Step-by-step explanation:
The area of the side of each smaller square = 100 / 16 sq ft.
= 6.25 sq feet.
So the length of each smaller square = square root of 6.25
= 2.5 ft.