Yes it is. Ax+By=C is standard form. :)
Answer:
r=20%
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
solve for r

A sector is a <u>part</u> of a <u>circle</u> that is formed by two<em> radii,</em> and an <em>arc</em>. So that the length of the <em>safety railing</em> required is 31.4 feet.
A sector is a <em>part </em>of a <u>circle</u> that is formed by two <u>radii</u>, and an <u>arc</u>, thus forming a <em>central</em> angle.
Thus the required <em>length</em> of safety railing can be considered as the <u>arc</u> of the<em> sector. </em>
So that;
<u>length</u> of an <u>arc</u> = (θ /
) * 2
r
where θ is the <u>measure</u> of the <em>central angle</em> of the sector, and r is the <u>radius</u> of the sector.
From the given question, θ = 45°, and r = 40 feet.
So that,
<u>length</u> of the<em> safety railing </em>= (45° /
) * 2 * 3.14 * 40
= 0.125 * 2* 3.14* 40
<u>length</u> of <em>safety railing</em> = 31.4
Therefore, the <u>length</u> of the <em>safety railing</em> required is 31.4 feet.
For more clarifications on the length of an arc, visit: brainly.com/question/2005046
#SPJ1
solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .
option C is correct i.e., ∠E ≅∠H.
explanation:
it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal
i.e.,

and if ∠E ≅ ∠H
Then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
so option C is correct i.e., ∠E ≅ ∠H.
and option B is also correct
explanation:
since it is given that

And if ∠I ≅ ∠F
then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
The answer is: 3.
_________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is: 3.
_______________________________________
Explanation: We are given that the ordered pair: "(3,10)" exists. In other words, when x = 3, y =10.
______________________________________
The "missing value" refers to the "empty box" in the table shown (in the attached screenshot). The "empty box" shows a "y-coordinate" of "20"; but a "missing" corresponding "x-coordinate".
____________________________________
The problem asks:
_________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is: ____?
___________________
The answer is: 3.
_______________________
We know the answer is "3"; because we know that "3" already has 1 (one) corresponding y-coordinate.
By definition, a "function" cannot have ANY "x-coordinates" that have more than one "corresponding y-coordinate". As such:
_______________________________________
In the table, the relation (x, y) is not a function is the "missing value" of "x" is:
____________
3.
____________
Additional information:
____________
When examining an equation on an actual graph, we can use what is called the "vertical line test". That is, one can take a pencil and vertically go through the "y-axis", or even examine it visually, to see if there are any "x-values" that have more than one corresponding "y-coordinate".
If no, then it "passes" the "vertical line test" and is a "function".
If not, then it does NOT pass the "vertical line test" and is NOT a function.
__________________________________________