The distance from one high point of a wave to the next wave’s high point is called _____. a. wavelength c. time b. frequency d. distance

Answer:

B. (2, 4)

Explanation:

Given equations:

a) y = x + 2

b) y = 3x – 2

Solve them simultaneously:

x + 2 = 3x – 2

x - 3x = -2 - 2

-2x = -4

x = 2

Then find y = x + 2 = 2 + 2 = 4

Solution: (x, y) = (2, 4)

Answer:

(2,4)

Step-by-step explanation:

substitute the value of y x+2 = 3x-2

solve the value of x  x = 2

substitue the value of x into one of the equations y = 2+2

solve for y value y = 4

Answer:

x = 61°

Step-by-step explanation:

since the triangle has 2 congruent sides then it is isosceles with the 2 base angle being congruent, both x°

the sum of the 3 angles in the triangle = 180° , then

x + x + 58° = 180°

2x + 58° = 180° ( subtract 58° from both sides )

2x = 122° ( divide both sides by 2 )

x = 61°

Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.

The order in which the people are chosen is important, as there are different roles, hence the permutation formula is used.

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

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:

[tex]P_{20,3} = \frac{20!}{17!} = 6840[/tex]

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A reasonable estimate of the rate of change for the interval

300 ≤ x ≤ 400 considering if the company is making a profit=2.

Consider the Quadratic relationship, between the selling price for its newest tablet and the company's daily profit is given,

f(x)= a x² + b x + c

Differentiating once

f'(x)= 2 a x + b

As we have to find the rate of change for the interval 200 ≤ x ≤ 300.

So,[tex]f(300)= 2 a \times 300 + b= 600a+b[/tex]

[tex]f(400)= 2 a \times 400 + b= 800 a + b[/tex]

Rate of change for the interval 300 ≤ x ≤ 400

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{800 a + b-(600 a + b)}{400-300} \\=\frac{800 a + b-600 a -b)}{100}\\\\=\frac{(200 a )}{100}\\\\=2a[/tex]

As considering, if the company is going through Profit, when the selling of the tablet is in the interval (300 ≤ x ≤ 400),

So, a Reasonable estimate of the rate of change for the interval 300 ≤ x ≤ 400 considering if the company is making a profit=2

Option (A).

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Answer:

Approximately 57

Step-by-step explanation:

The Pythagorean theorem says that a^2+b^2=c^2, where a and b are the base and height, while c is the hypotenuse. 53^2+21^2=2809+441=3250. The square root of 3250 is 57.008771255, which rounded to the nearest tenth is 57. Hope this helped!

Answer:

57.008771255 or 57

Step-by-step explanation:

53^2+21^2=57.008771255^2

We will get the areas of each one of the given triangles:

7) A = 12.69 mm²

8) A = 19.21 in²

9) A = 16.81 yd²

7) First, we have an equilateral triangle, where all the sides measure 5.4mm

For an equilateral triangle of side length S, the area is:

[tex]A = \frac{\sqrt{3} }{4}S^2[/tex]

In this case, S = 5.4 mm, replacing we get:

[tex]A = \frac{\sqrt{3} }{4}(5.4mm)^2 = 12.62 mm^2[/tex]

8) Now we have two equal sides and one different. The general area of a triangle of base B and height H is:

A = B*H/2.

In this case, the base measures 3.4 in.

To get the height, let's divide the triangle into two right triangles, such that one cathetus is 3.4in/2 = 1.7 in.

The hypotenuse measures 5.9 in

And the other cathetus is the height of the triangle.

Then, by using the Pythagorean theorem, we see that the height is:

[tex]H = \sqrt{(5.9 in)^2 - (1.7in)^2} = 5.65 in[/tex]

Then the area of this triangle is:

[tex]A = (3.4 in)*(5.65 in)/2 = 19.21 in^2[/tex]

9) Here the base measures 8.2 yds, and the height 4.1 yds, so the area is just:

[tex]A = (4.1 yd)*(8.2 yd)/2 = 16.81 yd^2[/tex]

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Answer:

3/7

Step-by-step explanation:

Probability=Number of possible items÷Number of total items.

We will make the possible item 3 because we are looking for the probability whether a boy will be picked.

The number of total items will therefore be: the number of boys + the number of girls; that will be 3+4 =7.

So the probability of picking a boy will be 3/7

THANK YOU.

Answer: 3

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so AD=BC.

[tex]3x+5=8x-10\\5=5x-1015=5x\\x=\boxed{3}[/tex]

The value of the expression f(5) + j(-2)  is -8 where f(x)=12-3x and j(x)=x² + 4x - 1

The expression is given as:

f(5) + j(-2)

Where f(x)=12-3x and j(x)=x² + 4x - 1

Calculate f(5) and j(-2)

f(5)= 12 - 3(5) = -3

j(-2) = (-2)² + 4(-2) - 1 = -5

So, we have:

f(5) + j(-2)  = -3 - 5

Evaluate

f(5) + j(-2)  = -8

Hence, the value of the expression f(5) + j(-2)  is -8

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Answer:

20 degrees and 85 degrees.

Step-by-step explanation:

105 degrees+ 150 degrees is equal to 255 degrees. 360 degrees - 255 degrees is 105 degrees. To get the ratio equivalent to 105 degrees you have to multiply both sides by 5 in order to get 20 degrees, and 85 degrees. I hope this helps! :)

Answer:232 inch^2

Step-by-step explanation:to solve, add the surface area of each side. Remember, there are 3 pairs of sides and the pairs have equal area. Area =length x length. So we have 2x(8x2)+2x(2x10)+2x(10x8) in square inches.

Answer:229.1

Step-by-step explanation: to much work I thought to hard that’s the answer your welcome buddy

Answer:

-2/5

Step-by-step explanation:

the distance between -1 and -3 on the y-axis is 2. 2 is the rise of your slope. two find the run, find the distance between -5 and 0. The distance is negative 2. Rise over run equals the slope so -2/5 is the answer

Answer:

-3/2

Step-by-step explanation:

See attached image

Answer:

[tex]m=\frac{-3}{2}[/tex]

Step-by-step explanation:

m = slope
[tex]m=\frac{-4-5}{4--2}[/tex]  
[tex]m=\frac{-9}{6}[/tex]
[tex]m=\frac{-3}{2}[/tex]

Answer:

72

Step-by-step explanation:

2 hrs = 120 min

120 min / 5 min = 24 times in 2 hrs

24 x 3 = 72 eggs in 2 hrs

Answer:

Step-by-step explanation:

3 eggs/5 minutes = x/120 minutes

5x = 360

x = 72 eggs in 2 hours

If you draw all of the diagonals from one vertex of a regular hexagon we make 5 triangles. This is further explained below.

Generally, the hexagon is simply defined as the hexagon is a polygon with six sides. to be considered a hexagon, the form must have six sides, all of which must be closed.

In conclusion, We get five triangles if we draw the diagonals of a regular hexagon starting at a single vertex.

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Answer:

Equation 75 X .45 = P

P = 33.75

Answer:

  5x -4y = 4

Step-by-step explanation:

An equation for the perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. The constant changes to a value so that the equation is satisfied at the given point.

__

Swapping the coefficients gives us ...

  5x +4y = c . . . . . for some constant c

Negating the y-coefficient (so the x-coefficient remains positive) gives ...

  5x -4y = c

Putting (x, y) = (-4, -6) into the equation gives us the value of c:

  5(-4) -4(-6) = c

  -20 +24 = c = 4

The line perpendicular to the given line and through the point (-4, -6) will have equation ...

  5x -4y = 4

Applying the circle theorems, we have:

4. y = 120°

x = 45°

5. x = 90°

y = 32°

6. x = 40°

y = 20°

7. x = 116°

y = 98°

8. x = 100°

y = 60°

9. x = 54°

y = 75°

The angle formed outside a circle by the intersection of two secants equals half the positive difference of the measures of the intercepted arcs, based on the angle of intersecting secants theorem.

The angle formed when two chords of a circle intersect, equals the half the sum of the measures of the intercepted arcs, based on the angle of intersecting chords theorem.

4. y = 360 - 95 - 30 - 115 = 120°

x = 1/2(120 - 30) [angle of intersecting secants theorem]

x = 45°

5. x = 90° [based on the tangent theorem]

y = 180 - 90 - 58 [triangle sum theorem]

y = 32°

6. x = 360 - 160 - 160 [central angle theorem]

x = 40°

y = 1/2(40) [inscribed angle theorem]

y = 20°

7. x = 180 - 2(32)

x = 116°

y = 1/2[132 + 2(32)] [angle of intersecting chords theorem]

y = 98°

8. x = 180 - 80 [opposite angles of an inscribed quadrilateral are supplementary]

x = 100°

y = 1/2[(2(80) - 90) + 50] [inscribed angle theorem]

y = 1/2[70 + 50]

y = 60°

9. 40 = 1/2(134 - x) [angle of intersecting secants theorem]

2(40) = 134 - x

80 = 134 - x

80 - 134 = - x

-54 = -x

x = 54°

y = 360 - 134 - 54 - 97

y = 75°

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Answer:

9³

Step-by-step explanation:

We know that,

[tex]a^b[/tex] ÷ [tex]a^c[/tex] = [tex]a^b^-^c[/tex]

By following the above, let us solve the given question.

Let us solve now.

⇒ 9⁵ ÷ 9²

⇒ 9⁵⁻²

⇒ 9³

Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.

Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).

m∠BAC = 40 degrees.

Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]

Corresponding arc BC = 80 degrees.

Arc AC through point B = 180 degrees [half circle]

Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.

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The phrase "in spite of" refers to a scenario where regardless of what happened, there is always a yearning desire and ability to remain positive.

The meaning of the phrase "in spite of" mean notwithstanding or whatever the circumstances, there is no room for complaining and thinking negatively.

This phrase is used to rejuvenate the positive and optimism of a man's thoughts and desires during dark moments. Hence, "in spite of" what happened, there is always an ability to remain positive.

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Answer:

a=4m

b=63x¹2 - 35x6 maybe you formatted/typed this wrong, but this is impossible..?

c=4

Answer:

x ≈ 0.5

Step-by-step explanation:

using the tangent ratio in the right triangle

tan63° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IJ}{JK}[/tex] = [tex]\frac{1}{x}[/tex] ( multiply both sides by x )

x × tan63° = 1 ( divide both sides by tan63° )

x = [tex]\frac{1}{tan63}[/tex] ≈ 0.5 ( to the nearest tenth )

Answer:

x = 0.5

Step-by-step explanation:

We can use tan Θ to find the value of x.

tan Θ = Opposite ÷ Adjacent

Let us solve it now

tan 63 = 1 ÷ x

1.9626 = 1 ÷ x

x = 1 ÷ 1.9626

x = 0.5095

x ≈ 0.5  ( nearest 10th )