The medians of △DEF are DK, EL, and FJ. They meet at a single point M. (In other words, M is the centroid of △DEF.) Suppose EM=12, FJ=60, and MK=11. Find the following lengths.

Answer:

288pi

Step-by-step explanation:

The equation for volume of a sphere is 4/3 * pi * r^3

4/3 * pi * 216

288pi

Answer:

A) 2 adults ....

B) 2% of adults.....

C) 3 % of adults...

Step-by-step explanation:

All the adults are 100 do any numbers past or under is like deciding by 100

Hope I helped

Answer:

12 inches of wire.

Step-by-step explanation:

that is what I could think of good luck. if I'm wrong tell me I'll try again don't forget to tell me if I'm wrong.

Given:

Height of a triangular prism = 6 inches

Legs of right triangular base are 9 inches and 12 inches.

To find:

The lateral surface area of a triangular prism.

Solution:

According to the Pythagoras theorem:

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using Pythagoras theorem, we get

[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]

[tex]Hypotenuse^2=81+144[/tex]

[tex]Hypotenuse^2=225[/tex]

Taking square root on both sides, we get

[tex]Hypotenuse=\sqrt{225}[/tex]

[tex]Hypotenuse=15[/tex]

Now, the lateral surface area of a triangular prism.

[tex]A=Ph[/tex]

Where, P is the perimeter of the base and h is the height of the prism.

[tex]A=(9+12+15)\times 6[/tex]

[tex]A=(36)\times 6[/tex]

[tex]A=216[/tex]

Therefore, the  lateral surface area of a triangular prism is 216 square inches.

Answer:

110 oz

Step-by-step explanation:

6 lbs = 96 oz

96 oz + 14 oz = 110 oz

Answer: A,C,D

Step-by-step explanation:

I did the test

Answer:

i need points sorry ;(

Step-by-step explanation:

Answer:

If you mean 3.25$ a foot, it would cost 19.5$.

Step-by-step explanation:

Multiply 6 by 3.25, and you get 19.5.

Hope that this helps!

Answer:

hi

Step-by-step explanation:

whatup its bruce i am still deeply in love with you

Answer:

-1/5

Step-by-step explanation:

It has a rise of 2 and a run of -10, therefore it is a slope of -2/10 or -1/5

Answer:

y = -1/5x

Step-by-step explanation:

Rise: 2

Run: -10

(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥

Answer:

[tex]x \in [1, 6)[/tex]

Step-by-step explanation:

Because the function is decreasing:

[tex]g(x_1) > g(x_2) \iff x_1 < x_2[/tex]

So:

[tex]g(x^2) > g(5x + 6) \iff x^2 < 5x + 6\\x^2 < 5x + 6\\x^2 - 5x - 6 < 0\\x^2 - 5x + 6.25 - 12.25 < 0\\x^2 - 2\cdot 2.5x + 2.5^2 < 12.25\\(x - 2.5)^2 < 12.25\\x - 2.5 \in (-3.5; 3.5)\\x \in (-1; 6)\\[/tex]

Combining that with the domain [tex]D_g = [1; \infty )[/tex]

[tex]x \in [1, 6)[/tex]

Answer:

1999.75

Step-by-step explanation:

2000 - 0.25

1999.75

Answer:

Reflection over the X axis.

Answer:

I believe it has infinite solutions

Step-by-step explanation:

Answer:

The solution is given below.

Step-by-step explanation:

Given that

Deposited amount = $1,500

Rate of interest = 5%

We need to find out the following things

a. The account after 4 years i.e. future value

As we know that

Future value = Present value × (1 + rate)^time period

Future value = $1,500 × (1 + 0.05)^4

Future value = $1,500 × (1.05)^4

Future value = $1,823.26

b. The account after 16 years i.e. future value

As we know that

Future value = Present value × (1 + rate)^time period

Future value = $1,500 × (1 + 0.05)^16

Future value = $1,500 × (1.05)^16

Future value = $3,274.312

c. The number of years that contain the amount of $2,000

Here

PV = $1,500

FV = $2,000

PMT = $0

RATE = 5%

The following formula should be applied

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 4.94 years

d. The number of years that contain the amount of $2,500

Here

PV = $1,500

FV = $2,000

PMT = $0

RATE = 5%

The following formula should be applied

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 8.77 years

Answer:

B

Step-by-step explanation:

Hope this helps : )

Answer:

71.43%

Step-by-step explanation:

2500/35 = 71.43

Aranibar's savings went up by 71.43%

Answer:

Step-by-step explanation:

oooooooo

Answer:

35m²

Step-by-step explanation:

1/2×10×7

=35m²

Answer:

X = 3

Step-by-step explanation:

STEP 1: Isolate a square root on the left hand side

Original equation

     √4x-3+√2x+3 = 6

     Isolate

     √4x-3 = -√2x+3+6

STEP 2: Eliminate the radical on the left hand side

Raise both sides to the second power

     (√4x-3)2 = (-√2x+3+6)2

After squaring    

4x-3 = 2x+3+36-12√2x+3

STEP 3: Get remaining radical by itself

 Current equation     

4x-3 = 2x+3+36-12√2x+3

 Isolate radical on the left hand side

12√2x+3 = -4x+3+2x+3+36

Tidy up 

12√2x+3 = -2x+42

STEP 4: Eliminate the radical on the left hand side

     Raise both sides to the second power

     (12√2x+3)2 = (-2x+42)2

     After squaring

     288x+432 = 4x2-168x+1764

STEP 5: Solve the quadratic equation

     Rearranged equation

      4x2  - 456x  + 1332 = 0

     This equation has two rational roots:

       {x1, x2}={111, 3}

STEP 6: Check that the first solution is correct

     Original equation, root isolated, after tidy up

     √4x-3 = -√2x+3+6

     Plug in 111 for  x 

      √4•(111)-3 = -√2•(111)+3+6

      Simplify

      √441 = -9

      Solution does not check

      21 ≠ -9 

STEP 7: Check that the second solution is correct

     Original equation, root isolated, after tidy up

     √4x-3 = -√2x+3+6

     Plug in 3 for  x 

      √4•(3)-3 = -√2•(3)+3+6

      Simplify

      √9 = 3

      Solution checks !!

     Solution is:

      x = 3

Answer: D: 65

Step-by-step explanation:

A nickel is worth 5 cents (which we will write as 0.05).

A quarter is worth 25 cents (which we will write as 0.25).

65 X 0.05 = $3.25.

35 X 0.25 = $8.75

$3.25 + $8.75 = $12

Answer:

[tex]\left(-\frac{1}{8},\:-\frac{41}{8}\right)[/tex]

Step-by-step explanation:

If you have any questions feel free to ask in the comments.

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

Step-by-step explanation:

Option A Versus Option B

Option A                                                Option B

Day Amount Deposited                        Day Amount Deposited

0     $40,000.00                                    0       $1.00

1      $40,250.00                                     1        $2.00

2      $40,500.00                                    2       $4.00

...

30   $47,500                                          16      $65,536.00

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

Answer:

$40.00

Step-by-step explanation:

the total price of the gift (after discount) is 9.00 * 4 = 36

the original price of gift can be found using this equation:

x - (x*0.10) = 36

x - 0.10x = 36

0.9x = 36

x=40

Answer: 20/27x-20

Step-by-step explanation:

Answer:

its 15 thats easy

Step-by-step explanation:

Answer: I have been asked the same question I believe that it is obtuse and isosceles.

Step-by-step explanation: Well a triangle with 1 obtuse angle means it is an obtuse triangle but a triangle with 2 congruent means it is an isosceles triangle.

This angle is isosceles as well as obtuse.

What is an isosceles triangle?

Isosceles triangle is a triangle that has two equal sides.

What is an obtuse-angled triangle?

An obtuse-angled triangle is a triangle that consists of an interior angle of more than a right-angle (90)°.

As this triangle has two congruent side, it is an isosceles triangle.

Similarly, it has one obtuse angle. Therefore, this triangle is an obtuse-angled triangle.

Hence, for this triangle, B. Isosceles C. Obtuse both apply.

Learn more about isosceles and obtuse-angled triangle here: https://brainly.com/question/9872652

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