Using the law of sines:
Sin (angle) = opposite leg / hypotenuse
Sin(30) = 14 /x
x = 14 * sin(30)
x = 28
Answer:
D
Step-by-step explanation:
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
45 + 32 + 37 = 114
114÷3 = 38
4 total quizzes,
for a 40 average on 4 quizzes she needs 40*4 = 160 total points
for 3 quizzes she has 45 +32 +37 = 114 points
160-114 = 46, she needs at least a 46 on the 4th quiz
Answer: A state has 11 electoral votes. In a presidential election, the Democratic candidate receives 48 percent of that state's popular vote, the Republican receives 40 percent of the vote, and an independent candidate receives 12 percent of the vote.