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Juli2301 [7.4K]
4 years ago
13

Jada is making a circular birthday invitation for her friends . The diameter of the circle is 12 cm. She bought 180 cm of ribbon

to glue around the edge of each invitation . How many invitations can she make ?
Mathematics
1 answer:
iVinArrow [24]4 years ago
7 0
She can make 4.

Explanation:

First you gotta find the circumference of the circle which is 37.68

Circumference=Diameter•pi

Pi is 3.14 in case you didn’t know.

Now divide the amount of ribbon she has by the circumference and you get 4.77…

So to make it simple we just say 4 because she wont want to make 4 and a half invitations.

Brainliest my answer if it helps you out?
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Suppose that Sin(θ)=5/13 and cos(θ)=-12/13. Find the value of tan(θ), cot (θ), CSC (θ), and sec (θ). Find the value of tan(2θ)
horrorfan [7]

Answer:

Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.

The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.

The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).

Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).  

Simplified, this becomes tan 2θ = -336/527.  

Therefore, the answer is C. -336/527.

5 0
3 years ago
How many solutions does the system have? <br> y=−2x+2<br> y=x^2−3x
s2008m [1.1K]
Y=-2x+2 and y=x^2-3x.

If there are solutions the x and y values are equal so we can say y=y:

x^2-3x=-2x+2  add 2x to both sides

x^2-x=2  subtract 2 from both sides

x^2-x-2=0  now factor...

x^2+x-2x-2=0

x(x+1)-2(x+1)=0

(x-2)(x+1)=0

So there are two solutions, when x=-1 and 2

Using y=-2x+2 we can find the corresponding y values for the solutions...

y(-1)=-2(-1)+2=2+2=4, y(2)=-2(2)+2=-4+2=-2 so the two solutions are the points:

(-1,4) and (2,-2)
3 0
4 years ago
If A ⊂ B, then<br><br> 1. A ∩ B = B<br> 2. A ∪ B = B<br> 3. A ∩ B = ∅
Alex
The answer is number 2
4 0
3 years ago
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Pls help me in these two little exercises about the slope.
den301095 [7]

Answer:

3)  y=\dfrac35x+\dfrac25

4) a)  y=-2x+7

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Step-by-step explanation:

<u>Exercise 3</u>

-3x + 5y = 2

\implies 5y = 3x + 2

\implies y=\dfrac35x+\dfrac25

<u>Exercise 4</u>

a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ m = -2

If L2 passes through point (3, 1):

y-y_1=m(x-x_1)

\implies y-1=-2(x-3)

\implies y=-2x+7

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y-y_1=m(x-x_1)

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4 0
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Find the Area. Simplify your answer.​
Vaselesa [24]

Answer:

Area = 9x^2 square units

Step-by-step explanation:

<u>Key skills needed: Area of a parallelogram</u>

1) This shape is a parallelogram, and the way to find the area of a parallelogram is:

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A = area

b = base (the side at the bottom

h = the height ( the length that runs from one side to another and makes a right angle)

2) The base (b) would be 3x. The height (h) would also be 3x

3) This means A = 3x(3x)

3 times 3 is 9 --> and x times x is x^2

Therefore the area is --> 9x^2

<em>Hope you understood and have a nice day!! :D</em>

5 0
3 years ago
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