Answer:
for 7 its b and for 8 its C becuase i took this test and got it right
Step-by-step explanation:
Answer:
M = 4.33885225095
Step-by-step explanation:
Area of the square ABFE = 10² = 100
M = 100 - (2P + Q)
Let’s calculate 2P + Q :
The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF
Note :
ΔABC is an equilateral triangle
m∠CBF = m∠CAE = 30°
area ΔABC = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922
CG = √(10^2 - 5^2)=8.660254037844 (Pythagorean theorem)
area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π
then
Area 2P + Q = area ΔABC + area sector ACE + area sector BCF
= 43.30127018922+(100÷12)π+(100÷12)π
= 43.30127018922+ (8.333333333333)π + (8.333333333333)π
= 95.66114774905
Conclusion:
M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
A fisherman travels downstream at full speed to his favorite fishing spot.
<span>The stream is running at a rate of 5 miles per hour, and he takes an hour to get to the fishing hole. </span>
<span>He catches 5 fish and calls it a day. </span>
<span>He takes twice as long at full speed to get back to the dock going against the current. </span>
<span>(x + 5)/(x - 5) = 2 </span>
<span>x = 15
</span><span>The full speed of the fishing boat is 15 miles per hour.</span>
≥ the graph would be going to your right
≤ the graph would be going to your left
Both cases assume x is on the left side of the inequality.
If the circle is open < or > will be used.
If the circle is shaded in then use ≤ or ≥
If the circle is open, then x<2 would indicate that the ray is going left (which it is) and 2 is not included.
Answer: x < 2
