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vlabodo [156]
3 years ago
5

A central angle in a circle with a radius of 7in. intercepts an arc with a length of 9in. What is the radian measure of the cent

ral angle?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0
A central angle in a circle with a radius of 7in. intercepts an arc with a length of 9in. What is the radian measure of the central angle?

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The number of marbles of different colors stored in a hat is listed below:
ivann1987 [24]

Answer:

12.5%

Step-by-step explanation:

I warn you, I'm not positive I'm correct.

First I added 8+10+6 and got 24

I divided that by 3 and got 8

I divided 100 by 8 because if you cross multiply 1/8 and x/100 you would get 8x = 100

100 ÷ 8 = 12.5

So I got 12.5%

5 0
3 years ago
) find a vector parallel to the line of intersection of the planes 5x − y − 6z = 0 and x + y + z = 1.
snow_tiger [21]
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.

Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>

We calculate the cross product as a determinant of (i,j,k) and the normal products

    i   j   k
   5 -1 -6
   1  1  1

=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>

Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0

Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
5 0
3 years ago
A car park has no parking spaces on the first floor. The second floor has double the amount of spaces on the first floor. The th
Artist 52 [7]

Answer:

85 parking spaces

Step-by-step explanation:

Given that :

Parking spaces on floors :

Let first floor = x

Second floor = 2x

Third floor = 2x + 3

Total parking spaces = 428

THEREFORE ;

x + 2x + 2x + 3 = 428

5x + 3 = 428

5x = 428 - 3

5x = 425

x = 425 / 5

x = 85

Hence, there are 85 parking spaces on the first floor

7 0
3 years ago
I really need help <br> Dz,2 of X is<br> (0-4)<br> (2,-2)<br> (6,2)
kvv77 [185]

9514 1404 393

Answer:

  (6,2)

Step-by-step explanation:

As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.

When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...

  X' = (6, 2)

_____

<em>Additional comment</em>

X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...

  X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)

8 0
3 years ago
PLS HELP!! need the answer asap
Tomtit [17]

Answer:

its D

Step-by-step explanation:

..............................

180-65

4 0
3 years ago
Read 2 more answers
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