Because the ratio is 1 to 3. It means that For every one apple there are 3 oranges. So If there are 2 apples, there would n 6 oranges. If there are twelve apples, there would be 36 oranges. To find the number of oranges for the amount of apples, just multiply the number of apples by 3.
First, find the digit in the place you are rounding to. Look at the digit one place to the right. If the digit is less than 5, round down. If the digit is 5 or greater, round up.
For example: round 1.86 to the nearest tenth
Look at the tenth digit (8). The number to the right of it is 6. Since it’s above 5, round the 8 up to 9. So you would get 1.9.
If it was 1.84, since 4 is less than 5, you would not round the 8, and you would get 1.8
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Answer:
ST = 12 units
Step-by-step explanation:
Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus
= 
substitute values
= 
( cross- multiply )
6ST = 8(21 - ST)
6ST = 168 - 8ST ( add 8ST to both sides )
14ST = 168 ( divide both sides by 14 )
ST = 12
