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Paraphin [41]
3 years ago
8

1 poir

Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

what's your radius to the circle?

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Find the angle between the given vectors to the nearest tenth of a
pochemuha

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

6 0
3 years ago
Joaquin buys 3 packs light bulbs. Each pack contains 12 light bulbs. After changing the bulbs in his house, he has 15 bulbs left
ivanzaharov [21]

Answer:

Step-by-step explanation:

3 times 12 equal 36.

36 minus 15 equals 21.

So Joaquin uses 21 light bulbs.

5 0
3 years ago
If f(x) = 2x + 1, find f(1).
____ [38]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
Which point is part of the solution of the inequality y 2 12x – 11.
Papessa [141]

Answer:

Point (0,0)

Step-by-step explanation:

Given the inequality y > 12x – 11.

We will check which of the given options will be applied for the inequality

A) (1,0)

Substitute with x = 1 and y = 0

0 > 12*1 - 11

0 > 1   ⇒ Wrong

So, Point (1,0) is not part of the solution of the inequality.

B) (3,2)

Substitute with x = 3 and y = 2

2 > 12*3 - 11

0 > 25  ⇒ Wrong

So, Point (3,2) is not part of the solution of the inequality.

C) (1,1)

Substitute with x = 1 and y = 1

1 > 12*1 - 11

1 > 1   ⇒ Wrong

So, Point (1,1) is not part of the solution of the inequality.

D) (0,0)

Substitute with x = 1 and y = 0

0 > 12*0 - 11

0 > -11  ⇒ True

So, Point (0,0) is part of the solution of the inequality.

Also, see the attached figure which represents the given inequality

The shaded area represents the solution of the inequality, and we can note that point (0,0) is part of the solution of the inequality

5 0
3 years ago
Help me plsss....
eimsori [14]

Answer:

If it took the motorcycle 2 hours to cover 20km, then the average speed is 10km per hour.

Speed is equal to distance over time. So 20km divided by 2 hours is 10 km per hour.

6 0
3 years ago
Read 2 more answers
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