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Cloud [144]
3 years ago
10

Point O is the centre of the circle. What is the value of x? (Assume that lines that appear to be tangent are tangent)

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
    Sum if the inner angles of the quadrilateral:
    150° + 90° + 90° + x = 360°
    330° + x = 360°
    x = 360° - 330°
    x = 30 ° 
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Solve for a: a/2 - 2/3 = a + 1/5
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The answer is 4 if I am correct
3 0
3 years ago
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3x+6=30 what is the value of x​
Volgvan

Answer:

8

Step-by-step explanation:

4 0
3 years ago
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Find the coordinates of the point (x,y) at the given angle θ on a circle of radius r centered at the origin. Show all work. Roun
beks73 [17]

Answer:

(i) The equivalent coordinates in rectangular form are (x, y) = (-3.277,-2.294).

(ii) The equivalent coordinates in rectangular form are (x, y) = (0.866, 0.5).

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

(x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)

Where:

r - Norm of vector, dimensionless.

\theta - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) (r = 4, \theta = 215^{\circ})

(x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})

(x, y) = (-3.277,-2.294)

The equivalent coordinates in rectangular form are (x, y) = (-3.277,-2.294).

(ii) (r = 1, \theta = 30^{\circ})

(x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})

(x, y) = (0.866, 0.5)

The equivalent coordinates in rectangular form are (x, y) = (0.866, 0.5).

6 0
3 years ago
A hamburger stand sells hamburgers for $3.87. in one day the stand made $433.44. How many hamburgers were sold?
Makovka662 [10]
All you have to do is divide 433.44 by the price of the hamburgers, so 


433.44 ÷ 3.87 = 112


The answer is 112 (:
8 0
3 years ago
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At the movie theatre, child admission is $5.30 and adult admission is $8.40. On Wednesday, three times as many adult tickets as
aleksley [76]

Answer:

39

Step-by-step explanation:

Let x = number of child tickets sold.

Cost of x child tickets is x * 5.30 = 5.3x.

"three times as many adult tickets as child tickets were sold"

Number of adult tickets sold: 3x

Cost of 3x adult tickets is 3x * 8.40 = 25.2x

Cost of all tickets is 5.3x + 25.2x = 30.5x

Cost of all tickets is $1189.50

30.5x = 1189.5

x = 1189.5/30.5

x = 39

Answer: 39

6 0
3 years ago
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