Answer:
1157.91 or rounded 1157.9 or 1158
Step-by-step explanation:
π • r^2 • (h/3)
π • 10^2 • 11/3
Area = 1/2 x base x height
Let the height be x.
Height = x
Base = 2x
Area of triangle = 1/2 x base x heght
Plug base and height into the variables:
(1/2)(2x)(x) = 196
Combine like terms:
x² = 196
Square root both sides:
x = 14
Find Base and height:
Base = x = 14 km
Height = 2x = 2(14) = 28 km
Answer: Height = 28km
Let small cups = S
Large cups = L
They bought a total of 8 cups, so S + L = 8
Rewrite as S = 8-L (1st equation)
Then you also have
$3S + $5L = $30 (2nd equation)
Replace the S in the second equation with the first equation:
$3(8-L) + $5L = $30
Simplify:
24 - 3L + 5L = 30
Combine like terms:
24+2L = 30
Subtract 24 from both sides:
2L = 6
Divide both sides by 2:
L = 3
They bought 3 large cups
Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)
Large = 3 cups, Small = 5 cups
Answer: 4) 157
Step-by-step explanation:
We know that there is no association between the grade level and the andedness, then we should find that the ratio between left handeds and right handed is the same for both grades.
In 7-th grade we have:
Left handed : 11
Right handed: 72
The ratio is 11/72 = 0.14
Then, the ratio for the 8-th graders must be about the same:
Left handed: 24
Right handed: X
Ratio: 24/X
Let's start with the bigger option, X = 157.
24/157 = 0.15
Ok, we now see that with the bigger option we obtained almost the same ratio (if we use the smaller values for X, we will get a ratio bigger than 0.15, so 0.15 is the better aproximation that we can find to the 0.14 of the 7-th graders)
Then the correct option is 4) 157
Answer:
y=10x+75
Step-by-step explanation:
Because y-y1 = m(x-x1)
Plug in the y1(5) and x1(-7)
So, y-5 = 10(x+7)
= y=10x+75
