Answer:
![d=2\sqrt{34}](https://tex.z-dn.net/?f=d%3D2%5Csqrt%7B34%7D)
Step-by-step explanation:
Applying Pythagoras theorem on right angle triangle
![radius=r=\sqrt{(3)^2+(5)^2}](https://tex.z-dn.net/?f=radius%3Dr%3D%5Csqrt%7B%283%29%5E2%2B%285%29%5E2%7D)
![r=\sqrt{34}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B34%7D)
Diameter=2 x radius
![d=2r=2\sqrt{34}](https://tex.z-dn.net/?f=d%3D2r%3D2%5Csqrt%7B34%7D)
Answer:
3/4
Step-by-step explanation:
Convert the fractions into decimals.
5/8 = 0.625
3/4 = 0.75
0.75 is greater than 0.625.
y = x² + 6x + 5
Use the formula: -b/2a
a = 1
b = 6
- 6 / 2
= -3
The x-coordinate of the vertex is -3
Plug the x value back into the original equation to find the y-coordinate of the vertex
y = (-3)² + 6(-3) + 5
y = -4
<h3>Answer: (-3,-4)</h3>
Answer:
8/5 or 1.6
Step-by-step explanation:
Answer:
The Facility cost for each spark plug is $1.4.
Step-by-step explanation:
Given:
Mark up cost = 25%
Charges for each spark plugs for customers = $1.75
We need to find the cost of each spark plug for the facility.
Solution:
Let the Facility cost of each spark plug be 'x'.
So we can say that;
Markup cost = ![25\% \times x= \frac{25}{100}x =0.25x](https://tex.z-dn.net/?f=25%5C%25%20%5Ctimes%20x%3D%20%5Cfrac%7B25%7D%7B100%7Dx%20%3D0.25x)
So we can say that;
Facility cost of each spark plus the Markup cost is equal to cost facilty charges for customer.
framing in equation form we get;
![x+0.25x =1.75\\\\1.25x =1.75](https://tex.z-dn.net/?f=x%2B0.25x%20%3D1.75%5C%5C%5C%5C1.25x%20%3D1.75)
Dividing both side by 1.25 we get;
![\frac{1.25x}{1.25}=\frac{1.75}{1.25}\\\\x= \$1.4](https://tex.z-dn.net/?f=%5Cfrac%7B1.25x%7D%7B1.25%7D%3D%5Cfrac%7B1.75%7D%7B1.25%7D%5C%5C%5C%5Cx%3D%20%5C%241.4)
Hence the Facility cost for each spark plug is $1.4.