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3 years ago

How many radians is 126

Mathematics

1 answer:

dexar [7]3 years ago

5 0

Answer:

.7pi

Step-by-step explanation:

To convert from degrees to radians, multiply by pi/180

126 * pi/180

.7 pi

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At a particular music store, CDs are on sale at $14.00 for the first one purchased and $12.00 for each additional disc purchased

Delicious77 [7]

To calculate the answer, we subtract $ 14 from the first CD to the total amount spent, which is $ 86.
So:
$ 86- $ 14 = 72
The rest of the CDs cost $ 12.
Then we divide $ 72 between $ 12
$ 72 / $ 12 = 6.
That means that 6 CDs were bought at $ 12 plus the first one bought at $ 14.
So the number of CDs that María bought was 7

4 0

4 years ago

Shana is climbing a mountain at a constant pace. She rises in elevation by 17.5 feet per minute. After hiking for 30 minutes, a

Mnenie [13.5K]

Answer:

The linear equation for Shana's elevation is $E = 17.5\cdot t+1640$ .

Step-by-step explanation:

According to the statement, we find that Shana is climbing at constant rate in time and height as a function of time can be represented by linear function:

$E = h_{o}+\dot h\cdot t$ (Eq. 1)

Where:

$h_{o}$ - Initial height above sea level, measured in feet.

$E$ - Elevation above sea level, measured in feet.

$\dot h$ - Climbing rate, measured in feet per minute.

$t$ - Time, measured in minutes.

If we know that $E = 2165\,ft$ , $\dot h = 17.5\,\frac{ft}{min}$ and $t = 30\,s$ . the initial height above sea level is:

$h_{o} = E - \dot h\cdot t$

$h_{o} = 2165\,ft-\left(17.5\,\frac{ft}{min} \right)\cdot (30\,min)$

$h_{o} = 1640\,ft$

The linear equation for Shana's elevation is $E = 17.5\cdot t+1640$ .

7 0

3 years ago

Graph the line that has a slope of 8 and includes the point (0,2).

Marrrta [24]

Graph the point (0,2). From there go up 8 points and right 1 point. Again, from the point (0,2) go down 8 points and left 1 point. Hope this helps!

4 0

3 years ago

I need help ASAP please and thank you

Leokris [45]

Y= 0.5x - 1
It might be written as half x like 1/2

8 0

3 years ago

Read 2 more answers

The 9th term of an arithmetic progression is 3+3p and the sum of the first four terms is 2p-10, where p is constant. Given that

Goryan [66]

Answer:

Step-by-step explanation:

Let's find the first term in terms of p.

So an arithmetic sequence is a linear relation.

That means it will have the same slope no matter the pair of points used. We are given the slope, the common difference, is 2. We are going to use point (9, 3+3p) and (1, t(1)) along with m=2 to find t(1).

[t(1)-(3+3p)]/[1-9]=2

Simplify denominator

[t(1)-(3+3p)]/[-8]=2

Multiply both sides by -8

t(1)-(3+3p)=-16

Add (3+3p) on both sides

t(1)=-16+3+3p

Combine like terms

t(1)=-13+3p

This means we can find the next term by adding 2 this.

t(2)=-11+3p

Let's find the next term by adding 2 this.

t(3)=-9+3p

Finally we can find the 4th term by adding 2 to this

t(4)=-7+3p

We are given the sum of the first 4 terms is 2p-10. So we can write:

-13+3p+-11+3p+-9+3p+-7+3p=2p-10

Combine like terms on left

12p-40=2p-10

Subtract 2p on both sides

10p-40=-10

Add 40 on both sides

10p=30

Divide both sides by 10

p=3.

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

Checking:

t(1)=-13+3p=-13+3(3)=-13+9=-4

t(2)=-11+3p=-11+3(3)=-11+9=-2

t(3)=-9+3p=-9+3(3)=-9+9=0

t(4)=-7+3p=-7+3(3)=-7+9=2

----sum of the first 4 is -4

And 2p-10 at p=3 gives 2(3)-10=6-10=-4

So this part checks out

In general, the pattern that those 4 terms I wrote out follow t(n)=(-13-2)+2n+3p. I know this because the 0th term would have been (-13-2)+3p and this part goes up by 2 each time. The plus 3p part doesn't change.

Anyways t(9)=(-13-2)+2(9)+3p=-15+18+3p=3+3p. And this part looks good too.

6 0

3 years ago