Answer:
Dan is 25 years old.
Step-by-step explanation:
1. Find out Dan's age from 8 years ago: 14 - 8 = 6
2. Find out how old Marge was: 6 ÷ 2 = 3
3. Add 8 years to Marge's age to find out how old she is now: 3 + 8 = 11
4. Add 14 years to Marge's age now to find out Dan's age now: 11 + 14 = 25
∴ Dan is 25 years old
Answer:
24.4 feet
Explanation:
Let x be the length of the wooden board as shown in the diagram.
Using trigonometry ratio, we can write
cross multiplying we get:
Diving through by 0.819, we obtain
To the nearest tenth, x=24.4 feet.
Answer:
As per the statement: A radio station had 205 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees.
⇒Let number of tickets Employees have x and Number of ticket Listeners have 4x
It is also, given that a radio station had 205 ticket to a concert.
⇒ 
Then, substitute the given values we have;
Combine like terms, we have;
Divide both sides by 5 we have;
x = 41
Therefore, number of tickets did they give away to employees have 41 tickets
Answer:
it is a
Step-by-step explanation:
i dont know how to explain it i just did the math and it came out to that
Answer:
option 4.
16 square units
Step-by-step explanation:
as we do not have the measures of the sides, but if the points of the vertices with Pythagoras we can calculate the sides.
P = (2 , 4)
S = (4 , 2)
we have to subtract the values of p from s
PS = (4 - 2 , 2 - 4)
PS = (2 , -2)
by pitagoras h ^ 2 = c1 ^ 2 + c2 ^ 2
h: hypotenuse
c1: leg 1
c2: leg 2
PS^2 = 2^2 + -2^2
PS = √ 4 + 4
PS = √8
PS = 2√2
S = (4 , 2)
R = (8 , 6)
SR = (8-4 , 6-2)
SR = (4 , 4)
by pitagoras h ^ 2 = c1 ^ 2 + c2 ^ 2
h: hypotenuse
c1: leg 1
c2: leg 2
SR^2 = 4^2 + 4^2
SR = √ (16 + 16)
SR = √32
SR = 4√2
having the values of 2 of its sides we multiply them and obtain their area
PS * RS = Area
2√2 * 4√2 =
16
