7m - 6 + 3m + 7 = 21
2 answers:
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There are 4 girls that the candy must be split between, Maeve and her 3 friends. They each get 5/24 of a pound.
Answer:
2598 units²
Step-by-step explanation:
Sum the parts of the parts of the ratio 3 + 5 + 7 = 15 parts
Divide the perimeter by 15
300 ÷ 15 = 20 ← value if 1 part, thus sides of triangle are
3 × 20 = 60
5 × 20 = 100
7 × 20 = 140
Using Hero's formula to calculate the area
A =
where s is the semi perimeter and a, b , c are the sides of the triangle
s = 300 ÷ 2 = 150
let a = 60, b = 100 and c = 140, then
A =
=
= ≈ 2598 units²
Answer:
Juan got 18.50 miles per gallon.
Step-by-step explanation:
We are given the following in the question:
Odometer in the beginning of trip = 1460.3 miles
Odometer at the end of trip = 1830.2
Gallons of gas used for trip = 20 gallons
Distance of trip =
= Odometer at the end of trip - Odometer in the beginning of trip
Thus, the trip was of 369.9 miles.
Miles per gallon =
Thus, Juan got 18.50 miles per gallon.
Have a look at the image attachment. I've added the points A, B, C, D such that
A = base of the diving board pole, or location of the pool deck
B = the location 1.6 meters directly above point A
C = location of the person's eyes
D = diving board location
The goal is to find the length of segment AD
We are given
AB = 1.6
BC = 3.67
what we want to find is
BD = x
Due to the fact we have similar right triangles ABC and CBD, we can form the proportion below and solve for x
AB/BC = BC/BD
1.6/3.67 = 3.67/x
1.6*x = 3.67*3.67
1.6*x = 13.4689
1.6*x/1.6 = 13.4689/1.6
x = 8.4180625
So BD is 8.4180625 meters
Use this to find the length of AD
AD = AB + BD
AD = 1.6 + 8.4180625
AD = 10.0180625
which rounds to 10.0 meters when rounding to the nearest tenth (one decimal place)
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Answer: choice D) 10.0 m
A = base of the diving board pole, or location of the pool deck
B = the location 1.6 meters directly above point A
C = location of the person's eyes
D = diving board location
The goal is to find the length of segment AD
We are given
AB = 1.6
BC = 3.67
what we want to find is
BD = x
Due to the fact we have similar right triangles ABC and CBD, we can form the proportion below and solve for x
AB/BC = BC/BD
1.6/3.67 = 3.67/x
1.6*x = 3.67*3.67
1.6*x = 13.4689
1.6*x/1.6 = 13.4689/1.6
x = 8.4180625
So BD is 8.4180625 meters
Use this to find the length of AD
AD = AB + BD
AD = 1.6 + 8.4180625
AD = 10.0180625
which rounds to 10.0 meters when rounding to the nearest tenth (one decimal place)
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Answer: choice D) 10.0 m