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SVETLANKA909090 [29]
3 years ago
15

Determine the numerical length of JK.​

Mathematics
2 answers:
kvasek [131]3 years ago
6 0
The length of JK is 21

This is because JK + IJ = IK so x+6+9=2x

This can be simplified to x+15=2x and then even further to 15=x

Now that you have x, you can plug it into the equation for JK

so 15+6=21
Zarrin [17]3 years ago
5 0

Answer:

30

So the two sectors add to the full length:

JK + IJ = IK

x+6 + 9 = 2x

Rearrange:

x=15

So the numerical length:

2x

2*15

30

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Find the missing length in the right triangle.
adoni [48]

Answer:

10 ft

Step-by-step explanation:

By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.

6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?

3 0
3 years ago
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A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not roun
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Answer:

3.5 cm

Step-by-step explanation:

Given the question:

A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.

Central angle in radian (θ) = 2.3 radian

Length of arc (s) = 8cm

Recall:

Length of arc (s) = radius (r) × central angle (θ)

8cm = radius × 2.3 rad

radius = 8 / 2.3

Radius = 3.478 cm

Radius = 3.5 cm

7 0
3 years ago
A 15.0 cm long cylindrical glass tube, sealed at one end, is filled with ethanol. The mass of ethanol needed to fill the tube is
djverab [1.8K]
The volume of the ethanol inside the tube can be obtained by dividing the mass of ethanol by the density. The volume is equal to 15.03 ml or 15.03 cm3. The volume of the tube is equal to pi d^2/4 * h where h is 15 cm. From this formula, the diameter is equal to 1.13 cm. 
4 0
4 years ago
) Suppose that a subset of five balls will be randomly selected from an urn containing amber, blue, and green balls. (a) If the
vazorg [7]

Answer:

0.0023 = 0.23% probability that all 5 balls selected will be the same color

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

Either 5 amber from a set of 6, or 5 blue from a set of 5. So

D = C_{6,5} + C_{5,5} = \frac{6!}{5!1!} + \frac{5!}{5!0!} = 6 + 1 = 7

Total outcomes:

5 balls selected from a set of 6 + 5 + 4 = 15. So

T = C_{15,5} = \frac{15!}{5!10!} = 3003

Probability:

p = \frac{D}{T} = \frac{7}{3003} = 0.0023

0.0023 = 0.23% probability that all 5 balls selected will be the same color

5 0
3 years ago
Help I need to get this done I have 15 questions
ivanzaharov [21]

Answer:

8 cm

Step-by-step explanation:

(See the image attached for details)

  • The blue segment measures 15 cm
  • The green segment measures 7 cm
  • The green and yellow segment when added form the blue segment
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Solve:

? + 7 = 15

Subtract 7 on both sides:

? + 7 = 15

   -7     -7

? = 8 cm

Therefore, the yellow segment, or the missing side length, measures 8 cm.

4 0
3 years ago
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