2) $3.85
5)125
7)175cm
10) 10 000cm2
11) $4.10
12)4
13)575mL
Answer:
B
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
p = 180° - (80 + 20)° = 180° - 100° = 80° and
q = 180° - (45 + 55)° = 180° - 100° = 80°
Thus p = q → B
Answer:
11 feet
Step-by-step explanation:
Given,
Area of square ( a^2 ) = 121 ft
To find : Length of each side ( a ) = ?
Formula : -
Area of square = a^2
a^2 = 121
a = √121
a = 11 feet
The population growth will be modeled using exponential growth:
f(x)=a(b)^t
where:
a=initial value
b=growth rate
thus plugging in the values we get:
f(x)=1.3(1.04)^t
thus the population after 10 years will be:
f(x)=1.3(1.04)^10
f(x)=1.9243
thus the population in 10 years will be:
1.9243 million
Answer:
45 mph
Step-by-step explanation:
This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)
Let's keep track of what he does in the time allotted.
How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.
convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour
d = r*t
r = 30 km/hour
t = 1/12 hour
d = 30 km/hr * 1/12 hour = 2.5 km
Now she's about to start. She wants to catch him in 10 minutes
d = r*t
r = x mph
t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.
How far does he go in the 10 minute time?
d = 30 * 1/6 = 5 km
What is his total distance
5 km + 2.5 km = 7.5 km
Finally how fast does she need to go to catch him
d = 7.5 km
r = ? This is what you are trying to find
t = 1/6 of an hour
d = r*t
7.5 km = r * (1/6)hour divide by 1/6 hour
7.5 km // 1/6 hour = r
r = 7.5 * 6 = 45 mph
