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marshall27 [118]
2 years ago
12

Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each

piece of fabric according to the equation x2 + y2 = 100 with units in inches. Based on this equation, what is the diameter of the cushion?
5 in.
10 in.
20 in.
100 in.
Mathematics
2 answers:
Anastaziya [24]2 years ago
7 0

Answer:

20 inches

Step-by-step explanation:

correct on edge

babunello [35]2 years ago
7 0

Answer:

c // 20 inch

Step-by-step explanation:

edg 2021 ^u^

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Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, .
m_a_m_a [10]

Answer:

Step-by-step explanation:

1,

-10,20,-40,80,...

common ratio=20/-10=-2

it is a geometric sequence.

2.

15,-5,-25,-45

common difference=-5-15=-20

it is an arithmetic sequence.

5 0
3 years ago
hi! i was wondering if i could have some help and maybe someone do 2 and another do 2 idk but thank u sm
Margarita [4]

Answer:

1) 5   2) 7    3) 9    4) 8

Step-by-step explanation:

you add and subtract the numbers, for example, number 1, the total is 9 and it shows 4 so 5. Or 3,  K to I is 3 and 11 (the total) minus 3 equals 8, plus the 1 so 9.   Hope this helps! Have a good day! :)  

8 0
2 years ago
Please help me i’ll cashapp u ;(
julia-pushkina [17]

Answer:

Step-by-step explanation:

Arc(AB) = 102 degrees

Arc(ADB) = 360 - 102 = 258

7 0
3 years ago
Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig
Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

h=-16t^2+18t+5

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

v = \frac{dh}{dt} = -32t + 18

Therefore, when v = 0:

0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft

Therefore, her maximum height is 10.06 ft.

3 0
3 years ago
The first three terms of an arithmetic progression are m,12 and n . Find the value of m+n​
Vera_Pavlovna [14]
<h3>Answer:  24</h3>

===========================================

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

  • First term = m
  • Second term = 12 = m+d
  • Third term = n = (m+d)+d = m+2d

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

-----------------

A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

-----------------

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

-----------------

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

3 0
3 years ago
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