Answer:
12
Step-by-step explanation:
It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...
1 : √3 : 2
Then the sides marked will have the ratio ...
6 : x = 1 : 2 = 6 : 12
x = 12
_____
You can also get there using trigonometry.
cos(60°) = 6/x
x = 60/cos(60° = 60/0.5
x = 12
4000
-1375
———
Take 1 from the number 4 and have it go down the line of zeros.
39910
-1375
———-
Subtract
39910
-1375
———-
2,625
I hope this helped!
Answer: £1517.04
Step-by-step explanation:
The fuel expenses for the vans will be calculated as:
Vans:
Since the average distance travelled per day is 198km and the average distance travelled per litre is 9km, the van would use:
= 198/9
= 22 litres
Since there are 8 vans, they'll use:
= 22 × 8 = 176 liters
Trucks:
Since the average distance travelled per day is 620km and the average distance travelled per litre is 6.2km, the truck would use:
= 620/6.2
= 100
Since there are 10 trucks, they'll use:
= 100 × 10 = 1000 liters
The amount of liters for both the van and the truck will be:
= 176 liters + 1000 liters
= 1176 liters
The fuel cost will then be:
= 1176 × 1£1.29
= £1517.04
Answer:

Step-by-step explanation:
The midpoint of two points is the average of the x coordinates and the average of the y coordinates.
Given
A(3, -1)
and we let the other end point B be B(x,y)
and midpoint is (-7,10)
So, the average of 3 and x is -7, and
the average of -1 and y is 10
We can solve for x first:

and now solving for y:

So, the other point B is:

I made a probability tree. Pls. see attachment.
Based on the probability tree I made, below are the probabilities
Probability of a student accepted at both Dartmouth and Harvard is:
50% x 40% = 20%
Probability of a student accepted at Dartmouth but not Harvard is:
50% x 60% = 30%
Probability of a student not accepted at Dartmouth but accepted in Harvard is:
50% x 20% = 10%
Probability of a student not accepted in both schools is:
50% x 80% = 40%
As you can see, these probabilities total 100%