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3 years ago

Find the perimeter of the figure below. A) 42.1 B) 74.0 C) 84.2 D) 94.4

Mathematics

2 answers:

Andru [333]3 years ago

6 0

The answer is C 84.2

8090 [49]3 years ago

4 0

First, we have to find a. Find two congruent sides.

2a-20.4=a+1.6

Add 20.4 to the other side.

2a= a +22

Subtract a from both sides.

a= 22

Now, plug it into every equation and then add the values all together for the perimeter.

18.5

22+1.6= 23.6

22-3.5= 18.5

I already know the last one will be 23.6 since the parallelogram has 2 sets of equal sides.

18.5(2)+23.6(2)= 84.2

84.2 is the perimeter.

I hope this helps!
~kaikers

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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?

kondaur [170]

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, $x_1=-8, y_1=-6, x_2=-4, y_2=-14$

$$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)$

$$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)$

$$P(x, y) =(-6, -10)$

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here, $x_1=-6, y_1=-10, x_2=-8, y_2=-6$

$r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}$

$r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}$

$r=\sqrt{(-2)^{2}+(4)^{2}}$

$r=\sqrt{20}$ units

The standard form of the equation of a circle is

$(x-a)^{2}+(y-b)^{2}=r^{2}$ , where (a, b) are center and r is the radius.

Here, center = (–6, –10) and $r=\sqrt{20}$

$(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}$

$(x+6)^{2}+(y+10)^{2}=20$

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

4 0

3 years ago

Please explain if you can

Sonja [21]

Using it's concept, the probabilities are given as follows:

19. A. 1/3.

20. F. 1/6.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 1 + 1 + 3 + 4 + 3 = 12 papers. 4 have a score of 6, hence, in item 19, the probability is:

p = 4/12 = 1/3.

Which means that option A is correct.

2 papers have a score greater than 12, hence the probability in item 20 is given by:

p = 2/12 = 1/6.

Which means that option F is correct.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

8 0

1 year ago

Write an algebraic expression for a C -5

Ivenika [448]

The answer is... Five less than C

4 0

3 years ago

Benjamin started her walk from the front door of her ground floor apartment. She walked 6 meters to the corner of the building a

notsponge [240]

Answer:

<u>4 meters.</u>

Step-by-step explanation:

Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.

So, the total distance Benjamin walked is 10m + 6m = 16m

Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.

The difference between the distance she walked and her displacement is 4 meters.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

6 0

3 years ago

Please help out with this question..

Sophie [7]

Answer:

Step-by-step explanation:

C = 16 * 3 = 48

8 0

2 years ago