Answer:
120 pounds
Step-by-step explanation:
Since the new cost is 144 pounds and this is 20% more, this is 120% of the original price. Remember 100+20 = 120. To find the original price set up a proportion with these values:
Solve for the original price by cross multiplying numerator with denominator.
x(120) = 144(100)
120x = 14400
x= 120 pounds
Answer:
AB ≈ 14.3
Step-by-step explanation:
We're given <em>two sides </em>(BC and CA) and an <em>angle </em>(C)<em> between them</em>; the <em>law of cosines </em>is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:
Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have
Substituting these values into the law of cosines:
(4 - -2) / (9 - 5) = 6/4 or 3/2
Answer:
Q#1.total number of T-shirts for total cost to be equal=10
Q#2.For the total cost to be the same for both companies, the volleyball team would need to purchase 10 T-shirts from each company
Q#3.total of $105 for each company.
Step-by-step explanation:
Q#1
two functions are given
y=10.5x
y=7.5x+30
where y represents cost and x represents number of shirts
we have to find number of shirts to be purchased from each company keeping cost equal
hence we will write
10.5x=7.5x+30
10.5x-7.5x=30
3x=30
x=30/3
x=10
Number of shirts to be equal cost price is 10
Q#2
two functions are given
y=10.5x
y=7.5x+30
where y represents cost and x represents number of shirts
we have to find number of shirts to be purchased from each company keeping cost equal
hence we will write
10.5x=7.5x+30
10.5x-7.5x=30
3x=30
x=30/3
Number of shirts =x=10
Q#3
total cost=y=?
for y=10.5x
put x=10
y=10.5*10
cost=y=105
and for other function
for y=7.5x+30
put x=10
y=7.5(10)+30
y=75+30=105
Answer:
Angle DEB: 52
Angle ADB: 30
Angle CBE: 52
Angle BEC: 38
Step-by-step explanation:
Angle DEB = 52 because triangles' angles must add up to 180. Angle ADB is 30 because it is complementary to angle BDE. Angle CBE is 52 because angle BEC is complementary to BED which is 52 degrees to BEC is 38 degrees. since the angles add up to 180, and C is 90, CBE is 52. Finally, BEC is 38 because it is complementary to BED.
