Answer:
63 inches
Step-by-step explanation:
the formula for the area of a triangle is
a = 1/2 bh
plug in the numbers
a = 1/2(9)(14)
9 times 14 is 126
a = 1/2(126)
half of 126 (or 126 divided by 2)
area = 63 inches
Rational numbers can be written as a fraction. They can be integers, whole numbers, natural numbers, repeating decimals, terminating decimals and obviously fractions. Irrational numbers can not be written as a fraction. They are usually non terminating non repeating decimals (like Pi).
Answer:
a=7, b=14
Step-by-step explanation:
a. 2/6=x/21
cross multiply=
2×21=x×6
then solve
42=6x
divide both sides by 6
x=42/6=<u>7</u>
b. 150/84=25/x
cross multiply=
84×25=150×x
then solve
2100=150x
divide both sides by 150
x=2100/150=<u>1</u><u>4</u>
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Answer:
length = 7 in
width = 42 in
Step-by-step explanation:
length = x
width = 6x
perimeter = 98 in
length = x = 7 in
width = 6x = 6(7) = 42 in
Answer:
graph (b)
Explanation:
The farm started with 40 sheep and the number doubled each year.
So, the equation modeling this situation would be:
N(x) = 40*(2)^2
By getting the equation, we can notice that we already excluded the third and fourth choices as they have the wrong equations.
Now, we will need to select the right graph which is either graph a or graph b.
To do this, we will get the value of N(x) for different values of x as follows:
At x = 0: N(0) = 40*(2)^0 = 40
At x = 1: N(1) = 40*(2)^1 = 80
At x = 1: N(2) = 40*(2)^2 = 160
Now, taking a look at graph a, we will find that:
N(1) = 120
N(2) = 360
These numbers are not the same as the numbers we calculated, therefore, this graph is wrong
Taking a look at graph b, we will find that:
N(1) = 80
N(2) = 160
These numbers are exactly the same as the ones calculated, therefore, this graph is the correct one.
Hope this helps :)
