Answer:
37.38
Step-by-step explanation:
Remark
The ratio tells you how they are divided between night and day.
In other words night/ day = 19/32
That's not what you want.
What you want is night over total.
Total
Total = night + day = 19.1 + 32 = 51.1
Night Percent
Night% = Night * 100 / Total
Night% = 19.1 * 100 / 32
Night% = 37.38 %
9514 1404 393
Answer:
- 160 yd³ must be hauled
- $520 is the cost
Step-by-step explanation:
There are 3 feet in a yard, so the volume of the hole is ...
(45 ft)/(3 ft/yd) × (16 ft)/(3 ft/yd) × (6 ft)/(3 ft/yd)
= (15 × 16/3 × 2) yd³ = 160 yd³ . . . volume to be hauled
__
The cost is $13/(4 yd³), so the total cost will be ...
($13/(4 yd³)) × 160 yd³ = $520 . . . cost of hauling
The answer is B. centroid, which is the intersection of three medians of the triangle's sides.
Let's look into other answers as well:
A. Circumcenter
It is the point where three perpendicular bisector meet, and is not correct as we can see there is no indication of right angles.
The first photo is what a circumcenter looks like:
C. Incenter
It is the point where the angle bisectors of the triangles meet, which is not indicated in the photo as well.
The second photo is what a incenter looks like:
D. Orthocenter
It is a point where the altitudes of a triangle intersect, and is not indicated by the figure.
The second photo is what a Orthocenter looks like:
Therefore the answer is B. Centroid.
Hope it helps!
Answer: dilation
Step-by-step explanation:
Please note that pi has just one value. The only difference stems from round-off error when you don't use all of the digits following "3.14159 ... " to represent the value of pi. The formula for circumference is C = 2 pi r, or C = pi d,
where r=radius and d=diameter.
Circle A: Diameter 9 inches and Circumference of 28.26 inches
If the diameter is 9 inches, then C = 28.26 inches = pi (9 inches). Divide 28.26 inches by 9 inches. Note that you MUST round off the ratio (pi) that you obtain, since 28.26 has 4 significant figures and 9 has just one.
28.26
------- = 3.14, but because 9 has just one significant figure, you must round
9 this 3.14 to just 3.
