Answer:
Step-by-step explanation:
The triangles are all similar, so corresponding sides are proportional.
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<h3>x</h3>
long side/short side = x/6 = 12/x
x² = 72 . . . . . . . multiply by 6x
x = 6√2 . . . . . . take the square root
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<h3>y</h3>
hypotenuse/long side = y/12 = (12+6)/y
y² = 216 . . . . . multiply by 12y
y = 6√6 . . . . . take the square root
A cross section is the shape you get when you cut straight through an object Like a prism so
you will get a triangle example:
In geometry it is the shape made when a solid is cut through by a plane. The cross section of a circular cylinder is a circle or a cross section of a pyramid is a rectangle. A two dimensional figure like a rectangle has two dimensions length and width. A three dimensional figure like a building has three dimensions length width and height.
Answer:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
Answer:
133.33 mph
Step-by-step explanation:
The small trick is to notice the time. Is it 8:00 AM the same day. We don't know, but we will assume it is.
So the truck was on the road for 2 hours.
The car was on the road for 2 - 1/2 = 1 1/2 = 1.5 hours.
The distance travelled was 200 miles
Solution
d = r * t
200 = r * 1.5
200/1.5 = r
r = 133.33 miles / hour
The noise you hear is a siren trying to catch up to the car.