Answer:
<h3>
- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>
- The area of the shaded sector depends on the length of the radius. </h3><h3>
- The area of the shaded sector depends on the area of the circle</h3>
Step-by-step explanation:
Given central angle PQR = 45°
Total angle in a circle = 360°
Ratio of the measure of central angle PQR to the measure of the entire circle is 
. This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.
Area of a sector = 
= central angle (in degree) = 45°
r = radius of the circle = 6
Area of the sector
<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>
From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>
Since Area of the circle = πr²
Area of the circle = 36πunits²
The ratio of the area of the shaded sector to the area of the circle = 
For length of an arc
ratio of the length of the arc to the area of the circle = 
It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle
Answer:
a. Cookbooks
b. 50%
c. 30%
Step-by-step explanation:
According To the Question,
- We have a total revenue of a publisher describe in a circle (360°).
a. Now, Approximately Cookbooks & Textbooks revenue Form 180°, but textbook revenue is more than cookbooks as clearly visible in the diagram
Thus, cookbooks are less than 90°.
Now, we have to find 1/5th of total publisher revenue which is 360°/5= 72°. & the Cookbooks is nearest to 72° ( less than 90°)
So, Answer For (a) is Cookbooks
b. Here in Diagram Clearly Visible that The Cookbooks & Textbooks Revenue Form 180° which is Approximately 50% of total Publisher's Revenue.
So, the Total Revenue Comes From Textbooks & Cookbooks is 50%.
c. Now We know the Cookbooks + Textbooks Revenue form 180° Approximately & Cookbook is approximately equal to 72° (as we solve above)
So, textbooks are 180°-72° = 108°, which is 30% of 360° ∴ 30% Revenue Come From Textbooks.
9514 1404 393
Answer:
$126
Step-by-step explanation:
110% more than 100% is 210% of his June earnings:
july = 2.10×$60 = $126
Silva is projected to make $126 in July.
_____
As always, you can think of % and /100 as being interchangeable.
210% = 210/100 = 2.10
Answer: 60%
Step-by-step explanation: 24/40 = .6 x 100 = 60
Answer:
k = 11.
Step-by-step explanation:
y = x^2 - 5x + k
dy/dx = 2x - 5 = the slope of the tangent to the curve
The slope of the normal = -1/(2x - 5)
The line 3y + x =25 is normal to the curve so finding its slope:
3y = 25 - x
y = -1/3 x + 25/3 <------- Slope is -1/3
So at the point of intersection with the curve, if the line is normal to the curve:
-1/3 = -1 / (2x - 5)
2x - 5 = 3 giving x = 4.
Substituting for x in y = x^2 - 5x + k:
When x = 4, y = (4)^2 - 5*4 + k
y = 16 - 20 + k
so y = k - 4.
From the equation y = -1/3 x + 25/3, at x = 4
y = (-1/3)*4 + 25/3 = 21/3 = 7.
So y = k - 4 = 7
k = 7 + 4 = 11.
