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Strike441 [17]
3 years ago
15

What is the diameter of a circle whose circumference is 907.46

Mathematics
2 answers:
Serhud [2]3 years ago
6 0

Answer:

d = 289

Step-by-step explanation:

The circumference is given by

C = pi *d

907.46 = pi *d

Using 3.14 for pi

907.46 = 3.14 d

Divide each side by 3.14

907.46 /3.14= 3.14 d/3.14

289 = d

Alexandra [31]3 years ago
4 0

Answer & Step-by-step explanation:

Circumference=d\pi

In order to find the diameter, then we will have to rearrange the equation.

d=\frac{Circumference}{\pi }

Now, let's plug in our numbers to solve for the diameter, <em>d</em>. We will use 3.14 for pi.

d=\frac{907.46}{3.14 }

d=289

So, the diameter of the circle is 289 units.

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The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
2 years ago
Please help me it dues in 51 minutes​
AfilCa [17]

Answer:

y=3x-4

Step-by-step explanation:

Slope intercept form is :

y=mx+b

where m is the slope, and b is the y intercept.

We are given the slope, it is 3. we are also given the y intercept, it is (0,-4). For this form, the 0 in (0,-4) is ignored, and we consider the y intercept to be -4.

So, m is 3, and b is -4. Substitute the values into the equation

y=3x+ -4

y=3x-4

So, the equation in slope intercept form is

y=3x-4

8 0
3 years ago
Read 2 more answers
Standard for<br> ola (y + 3)2 = -12(x - 2), iden<br> 1.<br> D<br> n111
Vedmedyk [2.9K]

Answer:

See below

Step-by-step explanation:

Your question is a bit unclear, so I'm going to assume you want the value of y or x:

(y+3)^2=-12(x-2)

-(y+3)^2/12=x-2

-(y+3)^2/12+2=x

(y+3)^2=-12(x-2)

y+3=sqrt(-12x+24)

y=sqrt(-12x+24)-3

5 0
3 years ago
Factor y 2 + 5y + 6.<br> (y + 1)(y + 6)<br> (y + 2)(y + 3)<br> (y + 2)(y + 4)
serg [7]
<span>y^2 + 5y + 6
=</span><span>(y + 2)(y + 3)

----------------------------------</span>
5 0
3 years ago
Read 2 more answers
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the
klio [65]

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

  • If the price of an item is discounted, that mean its new price will be less its initial price
  • The taxes on item, makes its new price greater than the initial price because tax is add

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y (\frac{88}{100})

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = \frac{106}{100} × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

4 0
2 years ago
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