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Sergio [31]
3 years ago
10

What is the next fraction in this sequence? Simplify your answer.

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

Answer:

  17/39

Step-by-step explanation:

The fractions appear to be 9/39, 11/39, 13/39, 15/39, ..., so can be described by ...

  (2n+7)/39

so, for n=5, the fraction will be ...

  (2·5+7)/39 = 17/39

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1. The diagonal of a quadrilateral
zalisa [80]

Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.

Given:

Length of the diagonal of a quadrilateral = 8.5 cm

Lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are 3.5 cm and 4.5 cm.

To find:

The area of the quadrilateral.

Solution:

Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are heights of those triangles.

According to the question,

Triangle 1 :  Base = 8.5 cm and Height = 3.5 cm

Triangle 2 :  Base = 8.5 cm and Height = 4.5 cm

Area of a triangle is

Area=\dfrac{1}{2}\times base \times height

Using this formula, we get

Area(\Delta 1)=\dfrac{1}{2}\times 8.5\times 3.5

Area(\Delta 1)=14.875

and

Area(\Delta 2)=\dfrac{1}{2}\times 8.5\times 4.5

Area(\Delta 2)=19.125

Now, area of the quadrilateral is

Area=Area(\Delta 1)+Area(\Delta 2)

Area=14.875+19.125

Area=34

Therefore, the area of the quadrilateral is 34 cm².

6 0
2 years ago
6 packages weighs of 2 lb 5 lb 7 lb 5 lb 9lb 8lb whats the average weight of the packages
stira [4]
Add all the numbers to get 36 and divide by the amount of numbers to get your answer. 6.
3 0
3 years ago
Question is in the picture, please help me
gregori [183]

Answer:

12.56 units

Step-by-step explanation:

C=pid

C = 3.14(4)

C = 12.56

7 0
3 years ago
ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY ​​IF YOU PUT A WRONG ANSW
balu736 [363]

Answer:

60 yd

Step-by-step explanation:

Volume is length x width x height. Therefore in this case, we do 4x3x5 which turns out to be 60. Also don't forget to add yd after your answer because this is measured in yards.

8 0
3 years ago
Read 2 more answers
A projectile is launched from ground level with an initial velocity of v 0 feet per second. Neglecting air​ resistance, its heig
Over [174]

Answer:

After 3 seconds while going up and 6 seconds while coming down

Step-by-step explanation:

Since projectile is launched from ground level with an initial velocity of v 0 feet per second, initial height =0

Height is given by

h(t) = -16t^2+144t where v0 = initial velocity = 144

a) When h =288 ft.

288 = -16t^2+144t\\t^2-9t+18 =0\\t=6 or 3

At t= 3 or 6 seconds the projectile would be at height 288 ft.

So while going up after 3 seconds it wouldbe at a height of 288 ft and while coming after 6 seconds.

4 0
3 years ago
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