Answer:
x = √30
Step-by-step explanation:
From small triangle BDC:
using Pythagorean theorem
CB² = BD² + DC²
x² = BD² + 3²
Fron triangles BDC and ADB.
ΔBDC has long leg BD and short leg DC.
ΔADB has long leg AD and shirt leg BD.
AD : BD = BD : DC
7 : BD = BD : 3
7*3 = BD*BD
BD² = 7*3 = 21
x² = BD² + 3² = 21+9 = 30
x² = 30
x = √30
We just need to know the sin 40 value
Answer:
Step-by-step explanation:
Dad: 2/5
Son: 1/3
<u>Who mowed most of the lawn? </u> Dad, of course. 2/5 is larger than 1/3. 2/5 is 40% and 1/3 is 33.333%
<u>How much of the lawn still needs to be mowed? </u>
2/5 + 1/3 + X = 1 [1 means the whole lawn. X is the remaining portion.]
6/15 + 5/15 + X = 1 [Convert each fraction so that they have a com,mon denominator. This also shows that 2/5 (6/15) is larger than 1/3 (5/15).
11/15 + X = 1
X = 1 - 11/15
X = 4/15 left to be mowed.
<u>How much does Mr. Doyle have left to mow?</u>
We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.
4/15 left to be mowed.
Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard
Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard
I believe the ratio of maraianne's height to jean-lucs height would be,
The area of two yards is 18ft