Answer:
The median is 43
Step-by-step explanation:
I dont know why your answers dont have any of them,cause with the numbers
3425, 24, 50, 18. 46. 43, 36.32
that makes your median is 43
Das is similarity
the 2 triangles are similar because of math ( don't remember which theorem or whatever)
so since similar
we have to find the bottom length
use right triangle properties
a²+b²=c²
14²+5.5²=c²
196+30.25=c²
226.25=c²
√226.25=c
ten, we do similarity
the hyptonuse of smaller triangle to base of smaller triangle is √226.25:5.5
since the triangles are similar, that should be equal to the ratio of the hypotonuse of the largger triangle to the base, which is x:√226.25
so
x/√226.25=√226.25/5.5
times both sides by √226.25
x=226.25/5.5
x≈41.1363636
the height of screen is 6 less than total
41.13636-6=35.13636
height of screen is about 35ft
Answer:
19. x = 65
20. x = 12
21. x = 35, y = 85
Step-by-step explanation:
19. 2x -10 = 120
2x (-10 + 10) = (120 +10)
2x/2 = 130/2
x = 65
20. 2x + 4x + 108 = 180
6x + (108 - 108) = (180 - 108)
6x/6 = 72/6
x = 12
21. 2x + 25 = 3x - 10
2x + (25 - 25) = 3x (- 10 - 25)
(2x - 3x) = (3x - 3x) - 35
-x/-1 = -35/-1
x = 35
3x - 10 + y = 180
3(35) - 10 + y = 180
105 - 10 + y = 180
(95 - 95) + y = (180 - 95)
y = 85
Answer:
George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today
Step-by-step explanation:
Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.
Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.
Mathematically;
time = distance/speed
He walks 1 mile at 3 miles per hour.
Thus, the total amount of time he spend each normal day would be;
time = 1/3 hour or 20 minutes
Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.
Let the unknown speed be x miles/hour
Mathematically;
We shall be using the formula for time by dividing the distance by the speed
1/3 = 1/2/(2) + 1/2/x
1/3 = 1/4 + 1/2x
1/2x = 1/3 - 1/4
1/2x = (4-3)/12
1/2x = 1/12
2x = 12
x = 12/2
x = 6 miles per hour
Exact form-13/4
decimal form-3.25
mixed number form- 3 1/4
hope I helped :)
