Answer: how many people are not allergic to any of the three choices? 22
How many people are allergic to all three choices? 1
How many people are allergic to both dogs and cats but not allergic to pollen? 7
How many people are allergic to cats only? 18
Step-by-step explanation: i took one for the team
3x+5x-1+4x+2x+6x+1=540 (Sum of all int. angles of a pentagon is 540)
20x-0=540 (Add like terms)
20x=540 (addition property of equality)
<u>x=27 </u>
Answer:
b. 40.5
Step-by-step explanation:
The appropriate formula for the area is ...
area = (1/2)bc·sin(A) = 63·sin(40°) ≈ 40.5 . . . . square units
Answers:
<span>
55 deg 30 Minutes = 55.5 degrees
sin = opp/hyp
sin(55.5) = altitude/10
Altitude = 10*sin(55.5)
Altitude = 10 * sin(55.5) = 8.241261886
Rounded to nearest 10th
Altitude = 8.2 cm
b. for base use Low of Cosines
Let C = base
Side A and B = length 10 Cm
c^2 = 2*a^2 -2a^2*cos(<C)
<C = 180 - 2*55.5 = 180 -111 = 69 degrees
c = sqrt ( 2a^2 - 2a^2*cos(<C)
c = sqrt ( 2*100- 200*cos(69))
c = sqrt (200 - 200*cos(69) ) = 11.32812474
Answer base
c = 11.3 cms
c.
Area = (1/2)*b * h
Area = (1/2)*(answer a * answer b)
Area = (1/2)* 11.32812474* 8.241261886 = 46.67902132
Area = 46.7 (rounded)
Area = ( 1/2) * a*b*sin(<C) = (1/2)*10*10*sin(69) =
Area = 50* sin(69) = 46.67902132
Area = 46.7 (rounded)</span>
Answer:
9 pairs
Step-by-step explanation:
The total budgets takes care of the cost of display case of $95 as well as the cost of all possible pairs of shoes that Clarence could afford.
After having deducted cost of display case,the balance left to purchase shoes is $1,105 ($1,200-$95)
The number of pairs that Clarence can purchase is the balance of $1,105 divided by cost per pair of shoes which is $115
number of pairs=$1,105/$115=9.61
Since it not possible to buy 0.61 portion of a pair of shoes,Clarence would only buy 9 pairs in different colors