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Rufina [12.5K]
2 years ago
12

What is the period of f(x) = sin(x)? StartFraction pi Over 2 EndFraction Pi StartFraction 3 pi Over 2 EndFraction 2 pi

Mathematics
2 answers:
zhuklara [117]2 years ago
8 0

Answer:

D. 2pi

Step-by-step explanation:

on E2020

Nostrana [21]2 years ago
4 0
<h3>Answer:  2pi</h3>

2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.

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Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet
Rufina [12.5K]

Please check the attached file for the diagram of Sally's yard.

Let w be the width of the yard.

Let l be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be 4w. Now, 8 feet, or 8 more than 4 times the width will be 4w+8. We know that this is the value of the length of the yard and thus we can write this as:

l=4w+8

As we can see we have found the relationship between the length, l and the width, w of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter=2(l+w)=2((4w+8)+w) this is because we know that the length, l is given by l=4w+8.

Continuing further we get:

106=8w+16+2w=10w+16 This is because Perimeter=length of the fence=106 (given)

Therefore, 10w=90

or, w=9 so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between w and l which is:

l=4w+8 giving us:

l=4\times9+8=44

Thus the length of the fence is 44 feet.

5 0
3 years ago
Select the ordered pair that is solution of this equation x+2y=3
muminat

Answer:

1+2=3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is 3/4 fraction as a mixed number​
lyudmila [28]

Answer:

0 3/4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A wooden board 100 centimeters long is cut into two pieces. One piece is 16 centimeters longer than the other. What are the leng
Bezzdna [24]

x = the length of one piece

y = the length of the other piece


the total length is 100 cm this means 


x + y = 100


one piece is 16 inches longer than the other


first we need to convert inches to cm: 


1 in = 2.54 cm

16 in = 2.54*16 = 40.64


now we can write


x = y + 40.64


by solving the system of equations


x + y = 100

x = y + 40.64


we find


x = 70.32 cm


y = 29.68 cm


the lengths of the two pieces are 70.32 cm and 29.68 cm.

4 0
3 years ago
Super easy 1 question (8) just being lazy
Snezhnost [94]

is this a school qustion? if not

cool me too

6 0
3 years ago
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