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What is the answer of this math problem?? <br> - 1/2 / 4/5

xeze [42]

Answer:

-0.025

Step-by-step explanation:

7 0

3 years ago

Please help me asap!

dusya [7]

7. Law of cosines

a² = b² + c² - 2bc cos A

where a is the side opposite to ∠A and b and c are adjacent sides to ∠A.

Here, a=BC= 3.8

b=CA =4.8

c = AB = 3.2

Substituting the values in the formula,

3.8² = 4.8² + 3.2² - 2(4.8)(3.2) cos A

30.72 cos A =23.04 + 10.24 -14.44=18.84

cos A = 18.84/30.72 = 0.6133

∴ cos A =0.6133

8. It is a right angled triangle.

Pythagoras theorem

hypotenuse² = Perpendicular² + base²

Here, hypotenuse = 6.7, base = 5.4

Perpendicular² = 6.7² -5.4²=44.89 - 29.16 =15.73

Perpendicular = √15.73 = 3.966 = 3.97

∴ The length of the missing side is 3.97.

9. Given: Side of new cube = 5 * Side of original cube

Let the side of the original cube measure 1 unit.

So, volume of original cube = side³ = 1

The side of new cube = 5 * 1 =5 units

So, volume of new cube = side³ = 5³ =125

The volume of the bigger cube is 125 times larger than the original cube.

10. Given : Height of the cone = 7 in

Radius of the base of the cone = 2 in

Volume of cone = (1/3) πr²h

=(1/3)π(2²)(7)

=29.32 cubic inches

∴ Volume of the cone is 29.32 cubic inches.

11. The given equation is:

x² -18x +10 =0

(x² -18x + 9²) +10 -9² =0

(x-9)²-71 =0

(x-9)² =71

x-9 =√71

x = 9 + √71

∴ x = 9+√71

7 0

3 years ago

If a 12 sided regular polygon rotates about its center at which angle of rotation will the image of the polygon coinside with th

Amanda [17]

Answer: 30 degrees

This is the minimum amount of rotation.

Why this value? Well because 360/12 = 30

Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.

For a square, we can rotate it 90 degrees and we can say 360/4 = 90

So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).

So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.

6 0

3 years ago

Y = f(x) = 2x<br> Find f(x) when x = 2.<br> Enter the correct answer.

sdas [7]

Answer:

Step-by-step explanation:

f(x) = 2x

When x = 2

Substitute the value of x into f(x)

That's

f(2) = 2(2)

= 4

Hope this helps you

6 0

3 years ago

Read 2 more answers

A Monopoly player claims that the probability of getting a 2 when rolling a six-sided die is one sixth because the die is equal

Kisachek [45]

Answer:

<h2>It is Theoretical probability.</h2>

Step-by-step explanation:

Theoretical probability determines the likelihood of some incidents to happen.

Theoretical probability is the ratio between the total number of possible outcomes and the desired outcome.

Here, the desired outcome is getting a 2 that is only one desired outcome, where as total possible outcomes are 6. Here, the probability of getting a 2 is $\frac{1}{6}$ .

Empirical probability depends on observance. In the given question, nothing related to observance of the given incident has mentioned, hence it is not empirical probability.

8 0

3 years ago