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Colt1911 [192]
3 years ago
11

What is the slope of the cone

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0
I believe it’s 2 because rise/run and 14/7 = 2
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Given parallelogram MNOP, MA = x + 5, AO = y + 2, PA = 3x and AN = 2y
erma4kov [3.2K]

Answer:

The values of x and y are x = 6 and y = 9

Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

  • Bisect each other
  • Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

4 0
3 years ago
Suppose James has a credit card with a balance of 4289 . Each month the credit card company charges 5% interest. If James pays o
topjm [15]

Answer:

<h2>4076.56</h2>

Step-by-step explanation:

First we need to calculate the James monthly charges on his balance of 4289.

Using the simple interest formula;

Simple Interest = Principal * Rate * Time/100

Principal = 4289

Rate = 5%

Time = 1 month = 1/12 year

Simple interest = 4289*5*1/12*100

Simple interest = 21,445/1200

Simple interest = 17.87

<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>

The balance on his credit card one year from now = Principal - Interest

= 4289 - 214.44

= 4076.56

The balance on his credit card one year from now will be 4076.56

5 0
3 years ago
Solve the system of equations below. <br> 5x + 2y = 9<br> 2x - 3y = 15
riadik2000 [5.3K]

Answer:

(3,-3)

y= -3

x= 3

Step-by-step explanation:

5x+2y=9

2x-3y=15

solve the equation

x=9/5-2/5y

2x-3y=15

substitute the value of x into an equation

2(9/5-2/5y)-3y=15

distribute

18/5-4/5y-3y=15

subtract -4/5 to -3

18/5-19/5y=15

subtract 18/5 from both sides

-19/5=57/5

divide both sides by -19/5

y= -3

substitute the value of y into an equation

x=9/5-2/5(-3)

distribute

x=9/5+6/5

add 9/5 to 6/5

x=3

--------

(3,-3)

--------

3 0
3 years ago
Plz answer asap and i would be very grateful
goldfiish [28.3K]
The answer is C.

hope this helps
8 0
3 years ago
Please help with this will give brainliest to the first answer!
kozerog [31]

Answer:

your answer is 415 in^3

Step-by-step explanation:

ok the equation  in finding the volume of a come is

V= \pi r^2 \frac{h}{3}

step 1: plugin

\pi =3.14

3.14 x 6^2 x 11/3

3.14x 36 x 11/3 =   (6/3 turns into a 2)

113.04x 11/3= 114. 48, when rounded, it's going to give you 415 in^3

5 0
2 years ago
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