The tree's height is 36 feet!
Work/explanation below:
1. The ratio of the boy's shadow to height is 4 : 6 or 1 : 1.5.
2. Plug the tree's shadow into the ratio and you have 24 : 24 X 1.5
3. 24 X 1.5 = 36.
Hope that helped!
:D®
Answer:
3/2 x
Step-by-step explanation:
length of a side of an equilateral triangle is x
The perimeter is
P = 3s where s is the side length
P = 3x
1/2 of the perimeter
1/2 (3x)
3/2 x
I'll be honest, this is a pretty interesting question. I've never seen anything like it before!
We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:
p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)
We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270
I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:
2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;
2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:
2c + 4p = 270
-2c -2p = -200
___________
2p = 70
Divide both sides by 2:
p = 35
Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:
c + 35 = 100
Subtract:
c = 65
There are 35 pigs and 65 chickens
-T.B.
Answer:
3/4= 75 % of the data is greater than the first quartile in a box-and-whisker plot.
Step-by-step explanation:
75 % of the data is greater than the first quartile in a box-and-whisker plot.
The first quartile denoted by Q1 is the median of the lower half of the data set.
This means that 25% of the values lie in the first quartile and 75 % of the values lie above the first quartile.
In the box and whisker plot the longer box indicates the interquartile range whereas the sides represent the 1st and 3rd quartile. The first quartile is the region where the values start and increase to the interquartile range.
75 % means = 75/100 or 0.75 or 3/4
75/100= 15/20= 3/4
Answer:
12x=10(25+x)
Step-by-step explanation:
Jim's rate=x
Pete's rate=y
Jim and Pete lays the same number of tiles.
So we have,
12x=10y
Pete's can lay 25 more tiles than Jim per hour
We have
y=25+x
Substitute y=25+x into 12x=10y
12x=10y
12x=10(25+x)
12x=250+10x
12x-10x=250
2x=250
x=250/2
=125
x=125
12x=10(25+x) is the equation used to find the rate that Jim can lay tiles
