Explanation
The shaded area represents a segment. This can be solved with the formula below;
Since the triangle is an equilateral triangle, it implies that the angle subtended at the centre is 60 degrees. Also, the given radius is 7 cm
![\begin{gathered} =7^2(\frac{60}{360}\times3.14-\frac{1}{2}\times\sin 60)^{}_{} \\ =49(\frac{3.14}{6}-\frac{\sqrt[]{3}}{4}) \\ =4.43\operatorname{cm}^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D7%5E2%28%5Cfrac%7B60%7D%7B360%7D%5Ctimes3.14-%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Csin%2060%29%5E%7B%7D_%7B%7D%20%5C%5C%20%3D49%28%5Cfrac%7B3.14%7D%7B6%7D-%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B4%7D%29%20%5C%5C%20%3D4.43%5Coperatorname%7Bcm%7D%5E2%20%5Cend%7Bgathered%7D)
Answer:
Answer:
For Skyhigh : 40 friends
For Jump it up : 90 friends
Step-by-step explanation:
Given that :
Maximum spending = $250
SKY HIGH FEES :
Party set up fee = $50 ; Amount paid per person = $2
JUMP IT UP FEES :
Party set up fee = $70 ; Amount paid per person = $2
THEREFORE, the inequality statement to obtain the number of friends for eack trampoline center goes thus:
Party setup fee + Number of persons * fee per person ≤ maximum spending
SKY HIGH:
50 + 5x ≤ 250
5x ≤ 250 - 50
5x ≤ 200
x ≤ 200/5
x ≤ 40
Hence,
Skyhigh can accommodate 90 friends Given the conditions
JUMP IT UP:
70 + 2x ≤ 250
2x ≤ 250 - 70
2x ≤ 180
x ≤ 180/2
x ≤ 90
Jump it up can accommodate up to 90 friends Given the conditions.
8/10 = 0.8
Therefore, 0.8 (8/10) is put on the number line shown below.
This situation can be represented by
y = 33x + 223
y = 32x + 239
I still like substitution, so let’s plug in 33x + 223 into the second equation
33x + 223 = 32x + 239
Move the terms into appropriate sides
33x - 32x = 239 - 223
Combine like terms
x = 16
Then plug in x for any equation
y = 32(16) + 239
y = 751
Erin will have to swim 16 laps for a total of 751 meters
Area of parallelogram<span>=</span><span>base x </span><span>height
Given :
Base = 12 in.
Height = 3 in.
Hence,
Area = 12 x 3
= 36 in. square</span>
