1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yanka [14]
3 years ago
10

In the diagram, AB = 10 and AC = 2√10. What is the perimeter of △ABC?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0
<span>D. 20 + 2âš10 units To solve this, you simply need to calculate the length of each side of the triangle with the vertexes of A(3,4), B(-5,-2), and C(5,-2). The length of each side is simply calculated using the pythagoras theorem. Note that it doesn't matter what order you do the subtraction. The absolute value will be the same and if it happens to be negative, not a problem since it will become positive once you square the values. So the length of side AB is sqrt((3-(-5))^2 + (4-(-2))^2) = sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10. The length of side BC is sqrt((-5 - 5)^2 + (-2 - (-2))^2) = sqrt(-10^2 + 0^2) = sqrt(100+0) = sqrt(100) = 10. And finally, the length of side AC is sqrt((3-5)^2 + (4-(-2))^2) = sqrt(-2^2 + 6^2) = sqrt(4+36) = sqrt(40) = 2 * sqrt(10) Finally, add all the lengths together. 10 + 10 + 2âš10 = 20 + 2âš10</span>
You might be interested in
Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Cons
Yuri [45]

Answer:

a. E(x) = 3.730

b. c = 3.8475

c. 0.4308

Step-by-step explanation:

a.

Given

0 x < 3

F(x) = (x-3)/1.13, 3 < x < 4.13

1 x > 4.13

Calculating E(x)

First, we'll calculate the pdf, f(x).

f(x) is the derivative of F(x)

So, if F(x) = (x-3)/1.13

f(x) = F'(x) = 1/1.13, 3 < x < 4.13

E(x) is the integral of xf(x)

xf(x) = x * 1/1.3 = x/1.3

Integrating x/1.3

E(x) = x²/(2*1.13)

E(x) = x²/2.26 , 3 < x < 4.13

E(x) = (4.13²-3²)/2.16

E(x) = 3.730046296296296

E(x) = 3.730 (approximated)

b.

What is the value c such that P(X < c) = 0.75

First, we'll solve F(c)

F(c) = P(x<c)

F(c) = (c-3)/1.13= 0.75

c - 3 = 1.13 * 0.75

c - 3 = 0.8475

c = 3 + 0.8475

c = 3.8475

c.

What is the probability that X falls within 0.28 minutes of its mean?

Here we'll solve for

P(3.73 - 0.28 < X < 3.73 + 0.28)

= F(3.73 + 0.28) - F(3.73 + 0.28)

= 2*0.28/1.3 = 0.430769

= 0.4308 -- Approximated

5 0
3 years ago
Please helppp!!!!!!!
rjkz [21]

Answer:

66

Step-by-step explanation:

5 0
2 years ago
Are these answers correct?
LenKa [72]
Yes it is correct :)
4 0
3 years ago
What set of reflections would carry triangle ABC onto itself?
zmey [24]

Answer:

it is b

Step-by-step explanation:

3 0
3 years ago
1. There are 51 families in Oakville who have
marishachu [46]

Answer: 17 families

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Adenan makes a scale drawing of a rectangular flower box. The length is 5 in., and the width is 3 in. Adenan changes the scale o
    5·2 answers
  • Can someone check out my other questions? They are worth a lot of points.
    15·1 answer
  • Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What
    14·1 answer
  • What is brown has a hump and lives at the north pole
    6·1 answer
  • Mr.Katz used 1 3/8 cans of paints to cover 1/6 of the building. How many cans of paint will he need to cover the entire building
    9·1 answer
  • For f(x) = -5x + 10, what is the value of x for which f(x) = 35?
    8·1 answer
  • Kaylee drove 50 miles an<br> hour for 3 hours. How<br> far did she drive?
    12·2 answers
  • Pls answer I will mark
    13·1 answer
  • Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
    13·1 answer
  • A rectangle has a length of 32feet less than 8 times its width. If the area of the rectangle is 96 square feet, find the length
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!