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Marrrta [24]
3 years ago
7

Find the x- and y- intercepts of 4x +5y = 20. Show your work.

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0
<span>x- intercept
</span><span>4x  = 20
  x = 5
(5,0)
</span>
y- intercept
<span>5y = 20
 y = 4

(0,4)
</span>
answer
x- intercept (5,0)
y- intercept (0,4)

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All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?
noname [10]

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

4 0
3 years ago
What is 73 divided by 8 equal in remainder???
olasank [31]

Answer:

9 remainder 1

Step-by-step explanation:

Not sure but uh... 73/8=9 remainder 1.

Is this what you are looking for?

4 0
2 years ago
Read 2 more answers
1/6 + 3/8 <br> A. 4/6<br> B. 4/8 <br> C. 4/14<br> D. 13/24
Naddika [18.5K]

Here is you're answer:

In order to get you're answer you need to find the common denominator then add.

  • \frac{1}{6} + \frac{3}{8}
  • Find the common denominator:
  • CD = 48
  • = \frac{26}{48}
  • Simplify:
  • \frac{26}{48} \div 2 = \frac{13}{24}
  • = \frac{13}{24}

Therefore you're answer is option D "13/24."

Hope this helps!

8 0
3 years ago
Let us analyze the following setting. You are given a circle of unit circumference. You pickkpoints on the circle independently
garik1379 [7]

Answer:

We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

\small \sum_{i = 1}^{k} L_i= 2\pi

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.

we get :

 \small \sum_{i = 1}^{k} C_i.l = 2\pi

where C(i) is a constant coefficient obviously between 0 and 1.

\small \sum_{i = 1}^{k} C_i= 2\pi/l

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]

So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.

We already know the sum so it is easy to compute the average :

\small L_{Exp} = \frac{2\pi}{k}

7 0
2 years ago
What is the greatest common factor of 7ab and 8b^3
Vlad [161]

Answer:

b

Step-by-step explanation:

The greatest common factor is the largest value two numbers share in common which multiplies to each of the numbers.

7ab has factors 7, a, b

8b^3 has factors 2, 4, 8, b, b, b

These share in common b.

3 0
3 years ago
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