Answer:
5
Step-by-step explanation:
The area of a rectangle is given by base x height = 1 x 5 = 5
Answer:
See bolded below.
Step-by-step explanation:
Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -
Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.
The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
<u><em>Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D</em></u>
Answer:
$4.18
Step-by-step explanation:
You take $3.80 and multiply by it .1 (turn 10% into a decimal by moving the decimal to the right two places).
This gives you .38
Then you add .38 to $3.80 which gives you $4.18.
Answer:
6.25 pi cm^2
Step-by-step explanation:
The formula for circumference is
C = 2*pi*r
We know the circumference is 5 pi
5 pi = 2 * pi *r
Divide each side by pi
5 pi/pi = 2 * pi *r/pi
5 = 2r
Divide by 2
5/2 = 2r/2
2.5 = r
We need to find the area of the circle
The area is given by
A = pi * r^2
= pi * (2/5)^2
= pi *6.25
= 6.25 pi cm^2
<h3>Answer:</h3>
y = 0.1x +1500
<h3>Explanation:</h3>
You need an equation that will give Gary a salary of $1500 even if he makes no sales (x=0). The only possible choice for the second item is then ...
... +1500
You are expected to know that Gary's commission of 10% of sales is computed by multiplying sales (x) by 10%. That is, if Gary sells $100 worth of items, his commission is ...
... 10% × $100 = $10
That is, the multiplier is 0.1.
Gary's salary (y) is then computed as
... y = 0.1x +1500
_____
<em>Comment on percentages</em>
The % symbol is a shorthand way to write /100. That is, 10% = 10/100, ten hundredths, or 0.10. (You might notice here that "percent" and "hundredths" can be used interchangeably.)
