The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25
centimeters, then which of the following is the length of the arc the tip moves through?
(1) 4.7
(3) 7.8
(2) 6.1
(4) 9.5​

Answer:

2/13

Step-by-step explanation:

So firstly, know that there are 13 cards in the deck (3 + 6 + 4).

Therefore, the probability of drawing a green is 4/13.

After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.

To find compound probability, multiply the probabilities of the two separate events happening together:

4/13 * 6/12

= 2/13

Hope this helps! Please contact me if you have any questions :)

Answer:because they contain an equal amount of positive protons and negative electrons

Step-by-step explanation:

Answer:

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

Step-by-step explanation:

In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,

[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]

The ratio is given by the Sun's diameter divided by the Earth's, as shown below:

[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

Answer:

7.4999999988

Step-by-step explanation:

5/24=0.2083333333

5 is 20.8% of 24

36*0.2083333333=7.4999999988

Answer:

7.5

Step-by-step explanation:

x/36=5/24

x= 36*5/24

x= 7.5

Answer:

x>-8

Step-by-step explanation:

-122<-3(-2-8x)-8x

-122<6+24x-8x

-128<16x

x>-8

Answer:

0

Step-by-step explanation:

2(a+3)/b

Let a=-3 and b=2

2(-3+3) / 2

2(0)/2

0/2

0

Answer:

0

Step-by-step explanation:

We are given the expression:

2(a+3)/b

We know that a= -3 and b=2. Therefore, we can substitute -3 in for a and 2 in for b.

2(-3+3)/2

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.

Solve inside the parentheses first. Add -3 and 3.

2(0)/2

Multiply 2 and 0.

0/2

Divide 0 by 2

0

Answer:

A. X Y

-10 10

-5 5

0 0

5 -5

10 -10

Step-by-step explanation:

Because it is a relationship involving more than one variable where each input is related to one output. If graphed the line segment would only touch one point at a single time.

Answer: It’s A and C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5a+ 18 < -27

Subtract 18 from each side

5a+18-18 < -27-18

5a < -45

Divide each side by 5

5a/5 < -45/5

a < -9

Open circle at 9, line doing to the left

Answer:

72

Step-by-step explanation:

Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.  

The Perimeter of triangle ABC is 72 unit

Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.

We have

AC = 20 unit

Area of triangle {ABC} = 240 unit square

AB = BC

draw the altitude to AC, let’s call it BD (Construction)

Now,

we know the area of triangle = 1/2 × AC × BD

240 = 1/2 × 20 × BD

BD = 240 × 2/20

BD = 24 unit

AD=CD (Altitude to base of isosceles triangle)

2AD=AC

2AD=20

AD=10 (Parts-Whole Postulate, substitution)

in ∠ABC using Pythagorean theorem

[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]

[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]

AB = [tex]\sqrt{100 + 576}[/tex]

AB = [tex]\sqrt{676}[/tex]

AB=26

AB=BC=26 (Definition of Isosceles Triangle)

AC = 20

Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)

Perimeter of triangle ABC = 26 + 26 +20

Perimeter of triangle ABC = 72 unit

To learn more about isosceles triangle from here

https://brainly.in/question/26765711

#SPJ2

Answer:

He weighs 172 pounds

Step-by-step explanation:

you can look up conversions like this on google and it will give you the exact weight and everything!

After converting Lucas's weight of 78 kg is 171.192 pounds

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 km = 1000 m

We have,

78 kg

Now,

1 kg = 2.204 pounds

Multiply 78 on both sides.

78 kg = 78 x 2.204 pounds

78 kg = 171.912 pounds

Thus,

78 kg is 171.912 pounds

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

suplementary means adds to 180

a+b=180

a=83

83+b=180

minus 83 both sidse

b=97

answer is 97 degrees

Answer:

97°

Step-by-step explanation:

Supplementary angles are a pair of angles whose sum is 180°.

If one angle of a pair of supplementary angles is given, it is easy to find the other angle.

It can be found out by subtracting the given angle from 180.

So here in this case, ∠A + ∠B = 180° where ∠A = 83°

83 + ∠B = 180

∠B = 180 - 83

∠B = 97°

So the m∠B = 97°

Hope this answer helps you.

PLS MARK ME AS BRAINLIESt.

Answer:

x= 4   and y =-3

Step-by-step explanation:

To find the  pair that is the solution to the system of equations, we will follow the steps below;

y = -1/2 x  - 1 -----------------------------------------------------------------------------------(1)

y = -3x + 9 ---------------------------------------------------------------------------------------(2)

substitute equation (1) in equation (2)

-1/2 x  - 1  = -3x + 9

collect like term

-[tex]\frac{1}{2}X[/tex]  + 3x = 9 + 1

-x+ 6x /2 = 10

5x /2 = 10

multiply  both-side of the equation by 2

5x = 20

Divide both-side of the equation by 5

x = 4

substitute x = 4 into equation (2)

y = -3x + 9

y = -3(4) + 9

y = -12 + 9

y = -3

The solution is

x= 4   and y =-3

Answer: The correct answer is option 1;

Sin 50° = StartFraction 3 Over c EndFraction

That is, Sin 50° = 3/c

Step-by-step explanation: Please refer to the picture attached for further details.

The right triangle ABC is given and the angle ACB is identified as the 90 degree angle (the right angle).  Also the angle CBA is given as 50° and the side marked as AC is given as 3 units. Then, the other two sides are given as CB which is marked a and AB which is marked c.

The resulting right angled triangle as shown in the attached picture now has the hypotenuse as c. The opposite is 3 since its the side facing the reference angle, and the adjacent is a since its the side that lies between the reference angle and the right angle.

Using the reference angle which is given as 50, side c can now be solved using the trigonometric ratio as follows;

Sin 50 = opposite / hypotenuse

Sin 50 = 3/c

Answer:

answer is sin(50*) = 3/c

Step-by-step explanation:

Answer:

5) 64

6) 39

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

10% of 30 = 3

Answer:

Because the random variable X is discrete, the variance of X is defined as

var(X) = 

where

p =  values of probability as given in the table.

μ = 18.59

Calculate the array (x - μ).

x-μ = [-7.59 -4.59 -2.59 0.41 2.41 4.41 5.41 10.41]

Calculate the array (x-μ)².

(x- μ)² = [57.6081 21.0681 6.7081 0.1681 5.8081 19.4481 29.2681 108.3681]

Calculate the array p*(x-μ)².

p*(x- μ)² = [4.0326 4.4342 1.1404 0.042 0.2904 0.7779 3.8049 8.6694]

Calculate the variance of X.

var(X) = 23.182

Step-by-step explanation:

Answer: 23.18 (nearest hundredth)

Answer: 18.59

Step-by-step explanation:

A P E X

Answer: f(x-2.5)

Step-by-step explanation:

Answer:

17) A(-1,1) B(-1,4) C(5,1)

18) (From origin moving rightwards)

     A(0,0) B(a, 0) C(a,a) D(0,a)

Step-by-step explanation:

17) You just count the steps, how many steps left, right, up, or down

18) The first point is at the origin, so 0,0

    The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.

     The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.

      The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.

Answer:

7/8 < 15/16

Step-by-step explanation:

Get a common denominator of 16

7/8 *2/2

14/16

14/16 < 15/16

so 7/8 < 15/16

Answer:

$252

Step-by-step explanation:

We need to find 30 percent of 400 dollars. Thirty percent can be written as 30/100, or 0.3.

Multiply 400 by 0.3, and we get $120. Since $120 is 30% of 400, we subtract 400 by 120. This gives us $280.

$280 is now the sale price. We need to find 10% of 280. Multiply 280 by 0.1, which gives us $28. This amount is taken off of the sale price, so we need to subtract 28 from 280.

280-28 is $252. This is the final price she will pay.

Answer:

A

Step-by-step explanation:

15:60

Simplify the ratio.

15/15:60/15

1:4

Answer:

1:4

Step-by-step explanation:

The answer is 1:4 because 15:60 simplified is 1:4

Answer:

∠F=56.5⁰

Step-by-step explanation:

It forms a right angled triangle.

The base of the triangle is given as 7.7 feet

The perpendicular of the triangle is given as 5.1 feet.

Find ∠E where

tan∠E=perpendicular/base

tan∠E=7.7/5.1

∠E=33.518

Find ∠F by substracting ∠G and ∠E from 180,

∠F=180-90-33.518

∠F=56.482

Round off to nearest tenth

∠F=56.5

Answer:

W = 0.125

X = 1.75

Y = 1.875

Step-by-step explanation:

The geometric sequence looks like of first term 1 , and of common ratio (r=0.5).

Therefore each new term is found by multiplying the previous one by 0.5:

A1 = 1

A2 = 0.5

A3 = 0.25

A4 = 0.125 = W

A5 = 0.0625

And the partial sums are the additions of the terms until the last one considered:

S1 = 1

S2 = 1.5

S3 = 1.75  = X

S4 = 1.875  = Y

S5 = 1.9375

therefore,

W = 0.125

X = 1.75

Y = 1.875

Answer:

The next answers are approaching a number and 2

Step-by-step explanation:

Answer:

42.25

Step-by-step explanation:

26.2 miles/ 0.62 miles= 42.25

Answer:

42.25

26.2 miles divided by 0.62 miles= 42.25

Step-by-step explanation:

Answer:

[tex]D = 0[/tex]

The graph has 1 x-intercept

Step-by-step explanation:

Given

[tex]f(x) = -4x^2 + 12x - 9[/tex]

Required

- Discriminant of f

- Number of x intercepts

Let D represent the discriminant;

D is calculated as thus

[tex]D = b^2 - 4ac[/tex]

Where a, b and c are derived from the following general format;

[tex]f(x) = ax^2 + bx +c[/tex]

By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]

We have

[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]

Solving further;

[tex]a = -4\\b=12\\c=-9[/tex]

So, D can now be calculated;

[tex]D = b^2 - 4ac[/tex] becomes

[tex]D = 12^2 - 4 * -4 * -9[/tex]

[tex]D = 144 - 144[/tex]

[tex]D = 0[/tex]

Hence, the discriminant of f is 0

From the value of the discriminant, we can determine the number of x intercepts of the graph;

When D = 0, then; there exists only one x-intercept and it as calculated as thus

[tex]x = \frac{-b}{2a}[/tex]

Recall that

[tex]a = -4\\b=12\\c=-9[/tex]

So, [tex]x = \frac{-b}{2a}[/tex] becomes

[tex]x = \frac{-12}{2 * -4}[/tex]

[tex]x = \frac{-12}{-8}[/tex]

[tex]x = \frac{12}{8}[/tex]

[tex]x =1.5[/tex]

Answer:

f(-5) = -5/4

Step-by-step explanation:

Answer:

Answer is -1/20

Step-by-step explanation:

Hope this helps.

Answer:

Your answer is seven

the correct answer is 15 + 8.