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Aloiza [94]
3 years ago
8

The sum of 4 consqutive terms in an A P is 32 and the ratio of the product of the first and the last term of the product of two

middle terms is 7:15 find th numbers?
Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

Four consecutive numbers are 2, 6, 10 and 14

Step-by-step explanation:

15(a² - 9d²) = 7(a² - d²)

15a² - 135d² = 7a² - 7d²

15a² - 7a² = 135d² - 7d² 

8a² = 128d²

Putting the value of a = 8 in above we get.

8(8)² = 128d²

128d² = 512

d² = 512/128

d² = 4

d = 2

So, the four consecutive numbers are

8 - (3*2)

8 - 6 = 2

8 - 2 = 6

8 + 2 = 10

8 + (3*2)

8 + 6 = 14

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-11y = 6(2+1) - 13y
iris [78.8K]

Answer:

12

Step-by-step explanation:

Let's put the equations in standard form. For the first equation, we have:

−11y=6(z+1)-13y

2y−6z=6

y−3z=3

The second equation is:

4y−24=c(z−1)

4y−cz=24−c

If we multiply the first equation by 4, we get:

4y-12z=12

Comparing the two equations, we see that if c=12, both equations will be the same and there will be infinitely many solutions.

The correct value of c is 12.

7 0
2 years ago
Q1 - Find the circumference of following circle. Take π = 3.14
Tanzania [10]

Answer:

The circumference of the circle is <u>C-72.22 </u><u>units</u>

Step by step explanation-

Given-

  • Diameter of circle (d) = 23 units
  • π = 3.14

Now,

<h3>\mathfrak {circumference \: of \: circle = \pi d }</h3>

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3.14 \times 23

\:  \:  \:  \:  \:  \:  \:\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \boxed{  = 72.22 \: units}

6 0
2 years ago
Read 2 more answers
Solve for x to the nearest degree.
VikaD [51]

Answer:

Using Pythagoras Theorem, squareroot 15^2 - 5^2.

After you found the opposite length, use the cosine rule to find angle x.

5 0
2 years ago
Gavin is working to get his private pilot certificate he must fly minimum of 2020 hours with his plane instructor before he can
irinina [24]

Answer: He needs a minimum of 2011.25 hours

Step-by-step explanation:

In order for Gavin to get his private pilot certificate he must fly solo.

He must fly a minimum of 2020 hours with his plane instructor before he can fly solo.

He has already flown 8 3/4 hours with his instructor. This is express as 8hours + (3/4 × 1) = 8.75 hours

To determine how many more flying hours that he needs before he can fly solo, we will subtract the number of hours that he had flown from the the minimum of 2020 hours . it becomes

2020 - 8.75 = 2011.25.

He needs a minimum of 2011.25 hours

5 0
3 years ago
Angle A (6×-1 B 20degrees C (×+14degrees)
Art [367]
First you add all given angles up to equal 180 to give you Times in to equations

A= 125 degrees

C= 35 degrees

I hope I help you and good luck
4 0
3 years ago
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