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iren [92.7K]
3 years ago
5

What is the area of the composite figure?

Mathematics
2 answers:
katrin [286]3 years ago
6 0

Answer:

84

hope this helps you!

slega [8]3 years ago
4 0

Answer:

96

Step-by-step explanation:

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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters
Evgen [1.6K]

Answer:

(B)r=\dfrac{85}{12}

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

  • LX=6
  • Radius, XJ=JK=r
  • LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

8 0
3 years ago
Read 2 more answers
Adding and subtracting positive and negative numbers
algol13

Answer:

Step-by-step explanation:

Rule Example

+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5

−(+) 8−(+2) = 8 − 2 = 6

5 0
3 years ago
Read 2 more answers
What is 5 times 9 divided 5 add 40 subtract 100
Sladkaya [172]

Answer:

-51

Step-by-step explanation:

5 0
2 years ago
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=12
lidiya [134]

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable.

Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes

y = kx

If y = 8 when x = 3, then

8 = 3k

k = 3/8

Therefore, the direct variation equation that relates x and y is

y = 3x/8

When x = 12, then

y = 3 × 12/8

y = 4.5

3 0
3 years ago
Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. tan 32° = _____
Advocard [28]

Answer

0.63

Explanation:

Given the expression

tan 32

Using Calculator

tan 32 = 0.6248

Converting to nearest hunderdth

tan 32 = 0.63

hence tan 32 to the nearest hunderdth is 0.63

5 0
10 months ago
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