See the diagram of the circumscribed polygon attached below:
Answer:
A. 14.2 in.
Step-by-step explanation:
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g
Let's find g.
a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)
b = 3.4 - 1.9 = 1.5 in.
b = c = 1.5 in. (Tangents drawn from an external point)
d = 3.6 - 1.5 = 2.1 in.
d = e = 2.1 in. (Tangents drawn from an external point)
f = 3.7 - 2.1 = 1.6 in.
f = g = 1.6 in. (Tangents drawn from an external point)
✔️Therefore,
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.
Step-by-step explanation:
Well, each marker is 1/2, and the number line goes from 0-5/2, and A is on the first marker, A=1/2
Answer:
61 and -87
Step-by-step explanation:
If the numbers are x and x - 148, we can write the following equation:
x + x - 148 = -26
2x - 148 = -26
2x = 122
x = 61 so x - 148 = 61 - 148 = -87
If one gallon = 4 quarts
Then 5 gallons = x quarts
To solve this we can set up a porportion
1/4 = 5/x
To solve the porportion we need to find the rule so how to we get to 4 from 1? Well we can multiply 1 by 4 to get one right?
So if this is true, 1 x 4 = 4 then 5 x 4 must equal x
5 x 4 = 20 so the answer would be 20 quarts are in 5 gallons
Another way to look at this is that you have 5 gallons and in each gallon is 4 quarts to if there is 4 quarts in every one gallon then that’s just 4 + 4 + 4 + 4 + 4 or 5 x 4
I hope this helps! <3
So i
(a).
The product of two binomials is sometimes called FOIL.
It stands for ...
the product of the First terms (3j x 3j)
plus
the product of the Outside terms (3j x 5)
plus
the product of the Inside terms (-5 x 3j)
plus
the product of the Last terms (-5 x 5)
FOIL works for multiplying ANY two binomials (quantities with 2 terms).
Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .
Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.
Whenever you have
(the sum of two things) x (the difference of the same things)
the product is going to be
(the first thing)² minus (the second thing)² .
So in (a), that'll be (3j)² - (5)² = 9j² - 25 .
You could find the product with FOIL, or with this easier tool.
______________________________
(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:
(4h + 5) x (4h + 5) .
You can do the product with FOIL, or use another little tool:
The square of a binomial (4h + 5)² is ...
the square of the first term (4h)²
plus
the square of the last term (5)²
plus
double the product of the terms 2 · (4h · 5)
________________________________
(c).
Use the tool I gave you in part-a . . . twice .
The product of the first 2 binomials is (g² - 4) .
The product of the last 2 binomials is also (g² - 4) .
Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .
