Answer:
a. 80%
b. £34
c. £340
Step-by-step explanation:
a. We are given that Mrs Trent spent 20% of her weekly wage on food. This means she would have 80% of her weekly wage left with her.
b. 10% of Mrs Trent weekly wage:
If 20% = £68
10% = (10*68)/20 = £34
c. Let x represent weekly wage of Mrs Trent
Given that she spends £68 of x (weekly wage) on food, which is 20% of x.
This means that, 20% of x = £68
Let's find her weekly wage, x:
![\frac{20}{100} * x = 68](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B100%7D%20%2A%20x%20%3D%2068%20)
![0.2x = 68](https://tex.z-dn.net/?f=%200.2x%20%3D%2068%20)
Divide both sides by 0.2
x = 340
Her weekly wage is £340.
Answer:
The third choice down
Step-by-step explanation:
Plotting the point (-2, 9) has us in QII. We connect the point to the origin and then drop the altitude to the negative x-axis, creating a right triangle. The side adjacent to the reference angle theta is |-2| and the alltitude (height) is 9. The sin of the angle is found in the side opposite the angle (got it as 9) over the hypotenuse (don't have it). We solve for the hypotenuse using Pythagorean's Theorem:
so
and
![c=\sqrt{85}](https://tex.z-dn.net/?f=c%3D%5Csqrt%7B85%7D)
Now we can find the sin of theta:
![sin\theta=\frac{9}{\sqrt{85} }](https://tex.z-dn.net/?f=sin%5Ctheta%3D%5Cfrac%7B9%7D%7B%5Csqrt%7B85%7D%20%7D)
We have to rationalize the denominator now. Multiply the fraction by
![\frac{\sqrt{85} }{\sqrt{85} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B85%7D%20%7D%7B%5Csqrt%7B85%7D%20%7D)
Doing that gives us the final
![\frac{9\sqrt{85} }{85}](https://tex.z-dn.net/?f=%5Cfrac%7B9%5Csqrt%7B85%7D%20%7D%7B85%7D)
third choice from the top
Answer:
Step-by-step explanation:
The formulas to find the radius are quite simple. If you know the diameter of the circle, use this formula:
If you don't know the diameter, but you know the circumference, you can use this equation:
If you know the area of the circle, use this equation:
Note that the area of a circle is essentially the total space, measured in square units, inside of the perimeter of a circle.
Answer:
the answer for this question is
10-1.125=71/8 or 8.875
= 9