The answer is “B” because if you do the work correctly that will be your outcome
Answer:
First question is 4,000
Second question is 2000
Step-by-step explanation:
You look at the point at which the graph lines meet and that is how you find you constant of proportionally.
Answer:
The height of the triangle is 5.2 inches
Step-by-step explanation:
we know that
An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure
Remember that an equilateral triangle has three equal sides and three equal interior angles
so
An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees
Let
h ----> the height of triangle
b ---> the length side of the triangle
Applying Pythagoras Theorem

we have

substitute





see the attached figure to better understand the problem
Answer:
<h2>
Emily: 72 marbles</h2><h2>
Asif: 8 marbles</h2>
<em>Step-by-step explanation:</em>
first lets find in how many shares is the total amount of marbles divided into:
7+1=8
now, lets find how many marbles are in each share:
64/8=8
now that we know that each share of marbles contains 8 marbles, we can find how many each child got:
Emily got 7 shares: 8*7= 72 marbles
Asif got 1 share: 8*1= 8 marbles
Hence,
<h3><em>Emily got 72 marbles, while Asif got 8 marbles</em></h3>
X² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60
x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45
<u>(x² + x - 12)(12x² - 48x - 60)</u>
(x² - x - 20)(3x² - 24x + 45)
<span><u>12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720</u>
</span>3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900
<span>
<u>12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720</u></span>
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900
<u>12x^4 - 36x³ - 252x² + 516x + 720</u>
3x^4 - 27x³ + 9x² + 435x - 900
<u>12(x^4 - 3x³ - 21x² + 43x + 60) </u>
3(x^4 - 9x³ + 3x² + 145x + 300)
<u>4(</u><span><u>x^4 - 3x³ - 21x² + 43x + 60) </u>
</span><span> (x^4 - 9x³ + 3x² + 145x + 300)</span>