Answer:
572000
Step-by-step explanation:
The population reduced by 12%, so (100-12)=88% is remaining.
So, 88% of 650000= 0.88 x 650000
= 572000
Answer:
90.3125 cm³
Step-by-step explanation:
Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.
17/4=4.25 cm
We know the height of pyramid is 15 cm
The formula for the volume of a square pyramid is
V=a²(h/3)
V=a2(h/3)=4.252·15/3=90.3125 cm³
The number is 8. 8x6=48, 8x5=40, 48-40=8.
Let m and h represent hours Mai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have
7m +14h = 8.40(m+h)
Subtract 7m+8.40h: 5.60h = 1.40m
Divide by 1.40: m = 4h
Then the total number of hours worked by either person is
m + h = (4h) +h = 5h
When only whole numbers of hours are worked, the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.
Therefore, each of them must work 5 hours and earn $42 before they go to the movies and Mai will work 4 hours mowing and 1 hour hauling.
Answer:
See below.
Step-by-step explanation:
All statements of congruent angles and congruent segments are correct.
A similarity statement can be written ...
Write a similarity statement ...
ABCD ~ HJKL
The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.
This is the correct reason:
"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."
"A similarity ratio is a ratio that compares the <u>lengths</u> of the corresponding sides of two similar polygons. The ratio is written in the same order as the <u>two</u>
<u>polygons.</u>"
For the similarity ratio, we use two corresponding sides.
AB = 8; HJ = 12
AB/HJ = 8/12 = 2/3
The similarity ratio of ABCD to HJKL is 2/3.
