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VikaD [51]
3 years ago
8

(x+2)2+(9-3)2=4, the radius of the circle is...

Mathematics
1 answer:
quester [9]3 years ago
5 0

Answer:

x = 1/2

Step-by-step explanation:

(x + 2)2 + (9 - 3)2 = 4

2x + 4 + 18 - 6 = 4

2x + 16 = 4

2x = 4/16

2x = 1/4

x = 1/4/2

x = 2/4

x = 1/2

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At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri
m_a_m_a [10]

Answer:

a) the cost of one medium drink be $3.80

b) the cost of a large popcorn be $6.25

Step-by-step explanation:

Let the cost of one medium drink be $x

and the cost of a large popcorn be $y

According to question,

A couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85      ..............(1)

A family bought 3 medium drinks and 2 large popcorn for a total of $23.90

3x + 2y = 23.90      ..............(2)

Using Elimination method to solve the system of equation,

Multiply equation (1) by 2 , we get,

4x + 2y = 27.70      ..............(3)

Now, subtract equation (2) from (3), we get,

4x + 2y-(3x + 2y) = 27.70 - 23.90

4x + 2y-3x - 2y = 3.80

4x -3x = 3.80

x = 3.80

Substitute, x = 3.8 in (1) ,

2(3.80) + y = 13.85  

7.60 +y = 13.85

y = 6.25

Therefore, the cost of one medium drink be $3.80

and the cost of a large popcorn be $6.25



7 0
3 years ago
Read 2 more answers
There are 20 flowers in a bouquet, and 2 of them are roses. What percent of the flowers are roses?
OverLord2011 [107]

Answer:

10%

Step-by-step explanation:

firstly express as a fraction then multiply the fraction by 100% , that is

\frac{2}{20} × 100% = 2 × 5 = 10% of the flowers are roses

4 0
1 year ago
Add 43.688 + 127.859?
yan [13]
171.547 is the answer.
6 0
3 years ago
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If r=8 and h=4, what is the volume of the cylinder shown above
Inessa05 [86]
Lets get started :)

The Volume formula of a Cylinder is 
V = \pir²h
(r = radius, h = height)

The radius given is 8 and the height is 4, We can plug in the known values

V = \pi(8)²(4)
   = \pi256
   = 256\pi units³ (You can leave the answer in this form)
   ≈ 804.2 units³ (approximately)

Units³ because it is a volume (3D shape)

4 0
2 years ago
Write the faction ration for each of the following.<br> If m
Aleksandr-060686 [28]

Answer:

\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0

Step-by-step explanation:

In any right triangle, the following is true:

The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)

The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus,

\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},

\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}

4 0
3 years ago
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