Answer:
x = 6 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the height )
Here b = 12 and h = 4, then
A = × 12 × 4 = 6 × 4 = 24 cm²
Then area of parallelogram = 3 × 24 = 72 cm²
The area (A) of a parallelogram is calculated as
A = bh ( b is the width and h the height )
Here b = x and h = 12, thus
12x = 72 ( divide both sides by 12 )
x = 6
The width of the parallelogram is 6 cm
You would say 1/48=28/x and solve the proportion to get an answer of 1344 inches, which is 112 feet.
Answer:
y = - 5x - 1
Step-by-step explanation:
The first thing to do (always) is pay attention to x =0. That at least gives you a partial answer. y = y' - 1. when you put 0 in for whatever y' is you get 0. What about the other numbers? How did they come about.
We have another clue. Whenever you put in a positive number for x, you get a negative answer for y. That's interesting. So y' has a minus sign associated with it.
y = -ax - 1 Make a>0 so there is only 1 minus sign. x cannot have an even power, because an even power would make everything positive except the -1.
So we'll start with y= - ax - 1 We'll also make the assumption that a = 1
y = - x - 1 That won't work. a >1 otherwise x = 2 won't give - 11
y = -ax - 1
let x = 2
let y = - 11 Solve for a
y = - ax - 1
- 11 = -a*-2 - 1 add 1 to both sides
-11 + 1 = - a(-2) - 1 + 1
- 10 = -2a Divide by - 2
- 10/-2 = -2a/-2
a = 5
Answer: y = - 5x - 1
Answer:
49π
Step-by-step explanation:
Circle area: πr^2
Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.
Since we know the radius, we can put it in the formula, πr^2.
We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.
The best way to compare fractions would be to make them have like
denominators. We first , in this case, need to convert from decimal to
fraction.
Converting decimals to fractions first requires an
understanding of the decimal places that fall after the decimal. One
place after the decimal is the tenths place. If you have a decimal that
ends at one place after the decimal (or in the tenths place) it can be
written as the number after the decimal in the top of the fraction and
ten (tenths place) in the denominator. ex. .5 ends one place after
the decimal and can be written as 5/10...(read as five tenths).
If a decimal ends at two places after the decimal...(ex. .75)...it
ends in the hundredths place, can be written as that number in the
numerator and 100 in the denominator....(ex 75/100) and is read as
seventy-five hundredths.
one place after the decimal is tenths (over 10), two places is
hundredths (over 100), three places is thousandths (over 1000) , four
places ten-thousandths (over 10000) and so on.
Because each decimal in your problem has a different amount of
decimal places, it makes for different denominators. But, We can add a
zero to the end of a decimal without changing it's value; if we add a
zero to the end of .5 and make it .50 , we then can write it as 50/100
and would now have like denominators.
if .5 = .50 = 50/100 and .75 = 75/100
we now have the question what fractions can fall between 50/100 and 75/100.
That would be fractions such as 51/100, 52/100, 53/100.......74/100.
