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1 year ago

THIS IS THE LAST QUESTION I NEED TO PASS

Mathematics

1 answer:

exis [7]1 year ago

3 0

If two triangles are similar, that means their side lengths are proportional, so we get the equation

$\frac{AB}{AC} =\frac{FG}{FH} \\\frac{x}{17} =\frac{16}{20} \\20x = 16 * 17\\x=13.6$

Thus x = 13.6.

Hope that helped!

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The radius of a circle is 19 miles. What is the circle's circumference?<br> Use 3.14 for .

insens350 [35]

Answer:

119.38

Step-by-step explanation:

the circumference is πd so it is 19 X 2, which is 38, times π, which is 38π. this equals 119.38

7 0

2 years ago

Read 2 more answers

Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...

svlad2 [7]

Answer:

The required recursive formula is:

$a_n=(-3)\times a_{n-1}$

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let $a_n$ represents the nth term of the sequence.

This means that:

$a_1=6, a_2=-18, a_3=54, a_4=-162,......$

As the common ratio is -3.

so,

$a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}$

Hence, the required recursive formula for the geometric sequence is:

$a_n=(-3)\times a_{n-1}$

5 0

3 years ago

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

worty [1.4K]

Answer:

Part A) Circumference

Part B) $C=\pi D$

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

$C=\pi D$

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

$D=200\ ft$ ----> diameter of the Ferris wheel

substitute in the formula of circumference

$C=\pi (200)\\C=200\pi\ ft$

assume

$\pi=3.1416$

$C=200(3.1416)=628.32\ ft$

therefore

The distance traveled in one rotation is 628.32 feet

3 0

2 years ago

Rachael has a rope 5 m 32 cm long that she cut into two pieces. One piece is 249 cm long. How many centimeters long is the other

satela [25.4K]

1 m = 100 cm, so 5 m = 500 cm plus the 32 cm, so she has a rope that is 532 cm long.

532 - 249 = 283 cm

So the other piece of rope is 283 cm long.

4 0

2 years ago

?Together, teammates Pedro and Ricky got 2685 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each

irga5000 [103]

Answer: Ricky: 1204, Pedro: 1481

Step-by-step explanation:

If Pedro hit 277 more base hits that Ricky, and together they hit 2685, then

2685=2x+277

2x=2408

x=1204

so Ricky hit 1204 base hits and Pedro hit 1481.

check: 1204+1481=2685

8 0

3 years ago