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lidiya [134]
3 years ago
7

Solve for x. 60 10 20 120

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Answer:

x= 10

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

7x-10 = 1/2(120)

7x-10 = 60

Add 10 to each side

7x = 70

Divide by 7

x = 10

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Angles 4, 5, and 6 are in the ratio 2:5:3. Find the measure of each angle
garri49 [273]

Answer:

The angles 4, 5 and 6 are 36, 90 and 54 respectively.

Step-by-step explanation:

First, let's find the total number of parts:

2 + 5 + 3 = 10

The amount of degrees per part is 180 / 10 = 18.

Now, we multiply that factor to the ratio:

2*18 : 5*18 : 3*18//36:90:54

Thus, the angles 4, 5 and 6 are 36, 90 and 54 respectively.

4 0
3 years ago
A signal can be sent from one location to another by running different colored flags up a flagpole, one above the other. There a
Verdich [7]

Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.

In this problem, the order in which the flags are visited is important, hence the <em>permutation formula</em> is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

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

The first flag is blue, then the remaining 7 are taken from a set of 14, hence:

P_{(14,7)} = \frac{14!}{7!} = 17,297,280

There are 17,297,280 different signals consisting of 8 flags.

More can be learned about the permutation formula at brainly.com/question/25925367

8 0
2 years ago
Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a
ikadub [295]

Answer:

Angle made by ramp with ground is ≈19.29^{\circ}

Step-by-step explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is 10 ft.

Height of Skateboard ramp is 3.5 ft.

From figure,

It is forming a Right angle triangle \triangle ABC.

In \triangle ABC, AB=3.5 and BC=10.

Clearly see that we need to find measure of angle \angle C.

Using Trigonometric ratio:

     Tan(\theta)= \frac{Perpendicular}{Base}

So,  Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35

Then \angle C=Tan^{-1} (3.5)=19.290046^{\circ}

Therefore, Angle made by ramp with ground is ≈19.29^{\circ}

8 0
3 years ago
Simplify (4y - 3x - 2) - (7y + 4x + 3)
yarga [219]

Answer:

-7x - 3y -5

Step-by-step explanation:

8 0
3 years ago
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Find the derivative of y= 1 / x​
givi [52]

Answer:

dy/dx = -1/x^{2}

Step-by-step explanation:

y = 1/x

dy/dx = d/dx(1/x)

=> dy/dx = d/dx(x^{-1})

=> dy/dx = -x^{-2}

=> dy/dx = -1/x^{2}

6 0
3 years ago
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