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2 years ago

AB is a tangent. Find the length of the radius, r.

Mathematics

1 answer:

Lena [83]2 years ago

4 0

Answer: 8

Step-by-step explanation:

Since AB is a tangent, angle CAB is a right angle. Thus, by the Pythagorean theorem, $r=\sqrt{17^{2}-15^{2}}=8$

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Mofor’s school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 7 adult tick

zhannawk [14.2K]

The price of one adult ticket is $ 11 and the price of one student ticket is $ 11

<h3><u>Solution:</u></h3>

Given that , Mofor’s school is selling tickets to the annual dance competition.

Let the cost of one adult ticket be $m and the cost of one student tickets be $n.

On the first day of ticket sales the school sold 7 adult tickets and 6 tickets for a total of $143.

$\text { Then, } 7 \times \text { cost of one adult ticket }+6 \times \text { cost of one student ticket }=\$ 143$

7m + 6n = 143 ------- eqn (1)

The school took in $187 on the second day by selling 4 adult tickets and 13 student tickets.

$\text { Then, } 4 \times \text { cost of one adult ticket}+13 \times \text { cost of one student ticket}=\$ 187$

4m + 13n = 187 ------ eqn (2)

We have to find the price of an adult ticket and the price of a student ticket.

Now, let us solve the equations.

Multiply eqn 1 by 4

28m + 24n = 572 ----- eqn 3

Multiply eqn 2 by 7

28m + 91n = 1309 ---- eqn 4

Now subtract eqn 4 from eqn 3

28m + 24n = 572

28m + 91n = 1309

(- )--------------------------------------

– 67n = - 737

67n = 737

n = 11

Plug in n = 11 in eqn 1

7m + 66 = 143

7m = 143 – 66

m = 11

Hence, the cost of one adult ticket is $ 11 and cost of one student ticket is $11

3 0

3 years ago

Solve the following system of equations. -3x + 4y = 64 x + 4y = 32

seraphim [82]

Im at math but let me spit some game tjotty tjoott I knew short was a tjottrh

8 0

3 years ago

4y =<br> = -x + 16 and y=x+9

uranmaximum [27]

Step-by-step explanation:

O sea que nada más la tarea pregúntale la pulsera o es algo que se siente

4 0

3 years ago

How to solve 2a x a x a x3a + b +4b

kodGreya [7K]

Answer:

$6 {a}^{4} + 5b$

Step-by-step explanation:

$2a \times a\times a \times 3 a+ b + 4b \\ 2a \times a = 2 {a}^{2} \\ 2 {a}^{2} \times a = 2 {a}^{3} \\ 2 {a}^{3} \times 3a = 6 {a}^{4} \\b + 4b = 5b$

Therefore the answer is

$6 {a}^{4} + 5b$

3 0

2 years ago

Read 2 more answers

HELP NEEDED PLEASE!!!

postnew [5]

Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

<h3>How can a vector be represented in component notation?</h3>

Given a magnitude M and angle $\theta$ , then a vector V can be represented as follows in component notation:

$V = (M\cos{\theta}, M\sin{\theta})$

In this problem, the magnitude and the angle are given, respectively, by:

$M = 12, \theta = 143^\circ$

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

#SPJ1

8 0

2 years ago