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
lana [24]
3 years ago
14

I am stuck at this question​

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

Step-by-step explanation:

B(2,10); D(6,2)

Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)

Rhombus all sides are equal.

AB = BC = CD =AD

distance = √(x2-x1)² + (y2- y1)²

As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x

A(X,0)

AB = AD

√(2-x)² + (10-0)² = √(6-x)² + (2-0)²

√(2-x)² + (10)² =  √(6-x)² + (2)²

√x² -4x +4 + 100 =  √x²-12x+36 + 4

√x² -4x + 104 =  √x²-12x+40

square both sides,

x² -4x + 104 =  x²-12x+40

x² -4x - x²+ 12x = 40 - 104

             8x = -64

               x = -64/8

               x = -8

A(-8,0)

Let C(a,b)

M is AC midpoint

(-8+a/2, 0 + b/2)  = M(4,6)

     (-8+a/2, b/2)  = M(4,6)

Comparing;  

-8+a/2 = 4          ; b/2 = 6

  -8+a = 4*2       ; b = 6*2

  -8+a = 8          ; b = 12

        a = 8 +8

       a = 16

Hence, C(16,12)

You might be interested in
A warehouse employs 22 workers on first shift and 14 workers on second shift. Eight workers are chosen at random to be interview
lara [203]
36 all together.
22 first
14 second
8 random chosen

A) all first shift:
One is pulled 22/36
Second is pulled 21/35
Third is pulled 20/34
Fourth 19/33
Fifth 18/32
Sixth 17/31
Seventh 16/30
Eighth 15/29

Multiply all those together
Probability of all first shift is 0.010567296996663
(That means it's not happening anytime soon lol)

B) one worker 14/36
Second 13/35
Third 12/34
Fourth 11/33
Fifth 10/32
Sixth 9/31
Seventh 8/30
Eighth 7/29

Multiply all those together
Probability of all second shift is 0.000099238805645
(That means it's likely to see 100x more picks of all first shift workers before you see this once.. lol)

C) 22/36
21/35
20/34
19/33
18/32
17/31

Multiply..
Probability.. 0.038306451612903


D) 14/36
13/35
12/34
11/33

X... p=0.016993464052288


Probably not correct, haven't done probability in years.
8 0
3 years ago
(2-cos^2A)(1+2cot^2A)=(2+Cot^2A)(2-sin^2A)​
fomenos

Answer:

2 sin (2A) cos (2A)^4 + 2cos (2A)

---------------------------------------------------

                 sin (2A)

Step-by-step explanation:

7 0
3 years ago
Answer choices 6 cubic units8 cubic units 10.6 cubic units 18 cubic units
antiseptic1488 [7]

Given,

Cylinder A has a volume of 6 cubic units

and height =3 units

The radius of cylinder A,

\begin{gathered} r=\sqrt[]{\frac{V}{\pi h}} \\ =\sqrt[]{\frac{6}{3\pi}} \\ =0.8 \end{gathered}

To find the volume of a cylinder B

\begin{gathered} V=\pi r^2h \\ =(3.14)\times(0.8)^2\times(3) \\ =6.03 \end{gathered}

Thus the volume of cylinder B is 6.03

7 0
1 year ago
In a right triangle the leg opposite to the acute angle of 30° is 7 in. Find the hypotenuse and other leg.
Maksim231197 [3]
This is a 30-60-90 triangle. 
Therefore, 
7 is A
the other leg is A√3
And the hypotenuse is 2A
So the other leg is 7√3 and the hypotenuse is 14
5 0
3 years ago
Read 2 more answers
Help plz who ever helps they are nice
slava [35]
Im mean I’d be down to help
4 0
2 years ago
Read 2 more answers
Other questions:
  • To find the average percentage change in price
    5·1 answer
  • Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the enti
    13·2 answers
  • Molly and Nancy disagree about the value of the expression 2+3×4. Molly thinks it is 20 and Nancy thinks it is 14.how could
    14·2 answers
  • According to a study, about 70% of all single men would welcome a woman taking the initiative in asking for a date. a random sam
    8·1 answer
  • What is the units digit of 2 to the 50th power
    12·1 answer
  • The ratios in an equivalent ratio table are 3.12, 4.16, and
    14·1 answer
  • Need help with math 25 points and brainlest correct answers only
    12·2 answers
  • Consider this expression.
    14·1 answer
  • Determine the value of x.​
    11·2 answers
  • The owner of a construction company buys cement in bulk. He recently paid $600.00 for 6 tons of cement. How much did he pay per
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!