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nata0808 [166]
3 years ago
15

Alexa has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 4.5 points for each v

isit to the movie theater. She needs 61 points for a free movie ticket. How many visits must Alexa make to earn a free movie ticket?
Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

8

Step-by-step explanation:

25+ (4.5 x 8)

25+ 36

=61.

She needs 8 visits

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Wright an Expression to represent: three minus the product of two and a number z
Nookie1986 [14]

Answer:

2z-3

Step-by-step explanation:

7 0
3 years ago
Find the area of the shaded region. Round the the nearest tenth.
Brums [2.3K]

Answer:

226.084 sq.m.

Step-by-step explanation:

Radius of circle = 18.6 cm

Area of sector = \frac{\theta}{360^{\circ} }\pi r^2

Area of sector = \frac{123}{360} \times 3.14 \times (18.6)^2

Area of sector = 371.157 m^2

Area of triangle = \frac{1}{2} \times a \times b \times Sin x

a = OA = radius = 18.6 cm

b = OB = radius = 18.6 cm

x =123 °

Substitute the values in the formula

Area of triangle = \frac{1}{2} \times 18.6 \times 18.6 \times Sin 123

Area of triangle = 145.073 m^2

So, Area of shaded region = Area of sector - Area of triangle

                                            =371.157 m^2-145.073 m^2

                                            =226.084 m^2

Hence the area of the shaded region is 226.084 sq.m.

5 0
4 years ago
What is independent. And what is dependent.
rewona [7]

☻ ~~~~~~~~~~~~ Hello! ~~~~~~~~~~~~~~~ ☻

➴ Independent = P   Dependent = W

When you wait in line, sometimes there is less or more people. Sometimes, you wait longer than other days. If there are more people, the time will go up. If there are less people, the waiting time will go down. So, the wait is dependent on the number of people.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ ♡

8 0
4 years ago
Verify the identity by transforming the left-hand side into the right-hand side.
qaws [65]
<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1

Starting with the left:  Note that  cos²θ + </span><span>sin²θ = 1.
In the same way:    </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore                cos²3θ  = 1 - <span>sin²3θ
</span> From the top:  (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ

=  2/<span>sin² 3θ - 1;        But 1/</span><span>sinθ = csc</span><span>θ,  Similarly  </span>1/sin3θ = csc3θ

= 2 *(1/sin<span>3θ)²  - 1</span>
= 2csc²3θ  - 1.        Therefore  LHS = RHS.  QED.

8 0
4 years ago
ERROR ANALYSIS In Exercises 39 and 40, describe and
expeople1 [14]

Answer:

39. r = 13.4

40. m = 12

Step-by-step explanation:

39. Given the equation, -0.8 + r = 12.6, to solve for r, the following are the correct steps to take to arrive at the solution:

-0.8 + r = 12.6 (given)

Add 0.8 to both sides of the equation (addition property of equality)

-0.8 + r + 0.8 = 12.6 + 0.8 (this is where the error occurred.)

r = 13.4

40. The correct steps to take in solving the equation, -\frac{m}{3} = -4 is as follows:

-\frac{m}{3} = -4 (given)

Multiply both sides by 3 (multiplication property of equality)

3*-\frac{m}{3} = 3*(-4)

-m = -12 (this is where the error occurred. This is what we should have at this line/step)

m = 12 (dividing both sides by -1)

6 0
4 years ago
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