Answer:
2/3 =8/12
Step-by-step explanation:
2/3
Multiply the top and bottom by 4 to get a denominator of 12
2/3 *4/4
8/12
2/3 =8/12
I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector
I’ll take you through it step-by-step
Area of the arc:
We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared
68.9/360 x pi x 86.1184= 51.78 (2dp)
Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC
You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)
Now since you want the area of the segment shaded, just find the difference between these two values.
51.78-40.17 = 11.61
Answer= 11.6cm squared
Hope this helped!
Answer:
p = 22.50 + 15t
Step-by-step explanation:
For Malik :
Membership fee = m
Rate per tournament = t
After 4 tournaments :
m + 4t = 85 - - - (1)
After 7 tournaments :
m + 7t = 130 - - - (2)
Subtract 2 from 1
4t - 7t = 85 - 130
-3t = - 45
t = 45 / 3
t = 15
Put, t = 15 in (1)
m + 4(15) = 85
m + 60 = 85
m = 85 - 60
m = 25
Massai pays 10% less membership fee than Malik
Hence, Massai's membership fee:
(100 - 10)% * 25
0.9 * 25 = $22.50
Total price, p, Massai will pay to compete in t tournaments ;
Total price = membership fee + (rate per tournament * number of tournaments)
p = 22.50 + 15t
1.Y=20
2. THE NUMBER GETS BIGGER
HOPE THIS HELPS AND PLEASE MARK ME AS BRAINIEST AND ADD ME AS FRIEND
Given:
In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.
To find:
The measure of side PQ.
Solution:
In ΔOPQ,
[Angle sum property]
According to Law of Sines, we get
Using the Law of Sines, we get
Substituting the given values, we get
Approximate the value to the nearest tenth of a foot.
Therefore, the length of PQ is 2.4 ft.
