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aliya0001 [1]
3 years ago
14

For a button to fit through its button-hole the hole needs to be the size of the buttons diameter what size buttonhole is needed

for a button with a circumference of 7.38 CM use the value of 3.14 to represent pi
Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:the size of the button hole is 2.35 cm

Step-by-step explanation:

For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.

The formula for determining the circumference of a circle is expressed as

Circumference = πd or 2πr

Where

d represents the diameter of the circle

π is a constant given as 3.14

From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be

d = circumference/π = 7.38/3.14

d = 2.35 cm

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The partial factorization of x2 – x – 12 is modeled with algebra tiles.
garik1379 [7]

Answer:

x² – x – 12 = (x – 4)(x + 3)

Step-by-step explanation:

Identify two numbers that add to -1 and multiply to -12, let's call them p and q.

So ax² + bx + c = (x + p)(x + q)

pq = c

p + q = b.

It is easier to find these numbers by finding factors of -12.

This can be done by splitting the number up until all the numbers are prime.

-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)

There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.

We can eliminate them by adding them up.

6 + -2 = 4 ≠ -1 so that can't be it.

-6 + 2 = -4 ≠ -1 so that can't be it either.

-3 + 4 = 1 ≠ -1

therefore p and q are 3 and -4 because 3 + -4 = -1.

so x² – x – 12 = (x – 4)(x + 3)

p = -4, and q = 3.

(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12

7 0
3 years ago
Jack walks 2 kilometers during each trip to school. Write an equation that shows the relationship between the number of trips t
inn [45]

Happy Valentines Day!

Answer:

d = 2t

Step-by-step explanation:

The reason I say this is because it says d first followed by an equal sign which is d = and it says in the problem that he walks 2 kilometers every trip to school so it should 2t because it is 2 kilometers for one trip times how many trips he takes.

Hope This Helps :)

4 0
3 years ago
 PLEASE HELP!! A tennis ball machine serves a ball vertically into the air from a height of two feet, with an initial speed of 1
ch4aika [34]
Thank you for posting your question here. I hope the answer below will help. 

Vo=110 feet per second 
<span>ho=2 feet </span>
<span>So, h(t) = -16t^2 +110t +2 </span>
<span>Take the derivative: h'(t) = 110 -32t </span>
<span>The maximum height will be at the inflection when the derivative crosses the x-axis aka when h'(t)=0. </span>
<span>So, set h'(t)=0 and solve for t: </span>
<span>0 = 110 -32t </span>
<span>-110 = -32t </span>
<span>t=3.4375 </span>
<span>t=3.44 seconds </span>
4 0
3 years ago
Read 2 more answers
100 POINTS
weeeeeb [17]

The blanks are as follows:

  1. Angle addition postulate
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8 0
2 years ago
What is most reasonably measured in miles?
iris [78.8K]

Answer:

Length of a Road

Step-by-step explanation: No man that has ever lived (Well unless they're a nephilim or smth) is over a mile tall. Swimming pools and buildings aren't usually big enough to be measured in miles unless they're either a skyscraper or a Wisconsin water park attraction.

8 0
3 years ago
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