Jaiden ran a 100 yard dash three times and took the average of his times. His times were 12.7, 11.2 and 11.8 seconds. On average, how long does it take him to run a 100 yard dash?

Answer:

  c.  71°

Step-by-step explanation:

You have isosceles triangle XYZ with a.pex angle Y = 38°. You want to know the measure of angle Z.

The base angles of the triangle are X and Z, which are congruent. The sum of all angles is 180°:

  X +Y +Z = 180°

  2Z +38° = 180° . . . . . . substitute for X and Y

  2Z = 142° . . . . . . . . . subtract 38°

  Z = 71° . . . . . . . . . . divide by 2

The measure of angle Z is 71°.

Answer:

3600

Step-by-step explanation:

N = 300 x 12 =3600

Answer:

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The likelihood that the friend will be late by between 10 and 30 minutes is roughly 0.6667, or 66.67%.

The probability that the buddy will be between 10 and 30 minutes late is equal to the size of the rectangle that exists between x = 10 and x = 30, and below the curve of the probability density function because the probability density function is uniform.

Given that the range of potential values for x is [0, 30] minutes, the height of the rectangle is equal to the greatest value of the probability density function, which is 1/30.

The width of the rectangle is 30 – 10 = 20 minutes, which is the difference between the interval's upper and bottom boundaries.

The likelihood that the friend will arrive between 10 and 30 minutes late is thus:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Answer:

Step-by-step explanation:

Assuming no wild cards ie. 52 card deck.

13 ways to fill the heart card

39 ways to fill the second card

38 ways to fill the third card

37 ways to fill the fourth card

13(39)(38)(37) = 712,842

The least to greatest of the ratio is 18 : 32, 5 : 8, and 11 : 16

Least to greatest arrangement can also be referred to as ascending order. Ascending order is the order such that each element is greater than or equal to the previous element.

5 : 8

= 5/8

= 0.625

11 : 16

= 11/16

= 0.6875

18 : 32

= 18/32

= 0.5625

Therefore, the ratio can be arranged as 18 : 32, 5 : 8, and 11 : 16 in ascending order.

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

i think its going to be 180* degreas! sorry if im wrong

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

A) horizontal asymptote: y = 7 B) vertical asymptote: x = -4, 5 is the required answers for horizontal and vertical asymptotes of the curve.

The horizontal asymptote of a curve is a horizontal line that the curve approaches as x approaches infinity or negative infinity. The vertical asymptote of a curve is a vertical line that the curve approaches but never crosses as x approaches a certain value. In this case, the horizontal asymptote is found by letting x approach infinity in the fraction and observing what the value of y approaches. In the limit as x approaches infinity, the x^2 term dominates and thus y approaches 7, which is the horizontal asymptote. To find the vertical asymptote, we find the values of x where the denominator equals 0 and the numerator is not equal to 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5. Thus, the vertical asymptotes are x = -4 and x = 5. To find the vertical asymptotes, we look for the values of x where the denominator of the function equals 0 and the numerator does not equal 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5, which means that x = -4 and x = 5 are the vertical asymptotes of the function. These values of x represent the values at which the function is undefined, and as x approaches these values from either side, the value of the function approaches positive or negative infinity.

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On of the triangles will be surely congruent to KLM. Hope you got it lol

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

Answer:

69310

Step-by-step explanation:

255*270+460

=68850+460

=69310

Answer:

c

Step-by-step explanation:

i took the flvs exam

Step-by-step explanation:

The solutions are 2 and 5

Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:

x^2 = 7x - 10

Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.

x^2 + 10 = 7x

Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.

x^2 - 7x + 10 = 0

Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.

(x - 2)(x - 5) = 0

You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.

x - 2 = 0

x = 2

One of the solutions is 2, because you add 2 to x to get 0.

x - 5 = 0

x = 5

The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.

2^2 = 7(2) - 10

4 = 14 - 10

So 2 is definitely a solution.

5^2 = 7(5) - 10

25 = 35 - 10

5 is also a solution.

Hope that helps :]

Answer:

he total number of people who use at least two facilities is 4 + 45 = 49

Step-by-step explanation:

To find the number of people who use at least two facilities, we can find the number of people who use all three facilities and add the number of people who use only two facilities.

The number of people who use all three facilities is 4, and the number of people who use only two facilities is 27 + 23 + 31 - 3 * 4 = 45.

Therefore, the total number of people who use at least two facilities is 4 + 45 = 49.

Answer:

The speed of the ball in terms of i and j is (15.76 i, 6.37 j)

Step-by-step explanation:

Given;

velocity of the ball, v = 17 mph

angle of inclination, θ = 22⁰

The horizontal component of the velocity is calculated as;

\(V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i\)

The vertical component of the velocity is calculated as;

\(V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j\)

Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)

Answer:

30 pages/min

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.

Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values.  Still need to check if each x-value has a unique corresponding y-value.

Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).

Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.

9514 1404 393

Answer:

  4.18 square units

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2bh

where b is the length of the base, and h is the perpendicular distance from the base to the opposite vertex.

  A = 1/2(2.2)(3.8) = 4.18 . . . square units

The surface area of the larger solid is approximately 971.13 m².

A scale factor is the ratio of the corresponding sides of two similar objects.

Let's find the scale factor as follows:

z = scale factor

x = the volume of the larger solid

y = the volume of the smaller solid

Therefore,

z³ = x / y

z³ = 1408 / 594

z = ∛1408 / 594

z = 11.2081573 / 8.40611799

z = 1.33

Therefore,

let's find the surface area of the larger solid.

The scale factor squared is equal to the surface area of the larger solid divided by the surface area of the smaller solid. Therefore,

z² = larger solid / 549

surface area of the larger solid =  1.33² × 549

surface area of the larger solid = 1.7689 × 549

surface area of the larger solid = 971.1261

surface area of the larger solid = 971.13 m²

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Answer:

∠ 2 = 66°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then

∠ 2 + 114° = 180° ( subtract 114° from both sides )

∠ 2 = 66°

Answer: 0.0135

0.0009563758

0.00835

Answer:

what is the expressio

Step-by-step explanation:

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

-9,-3,3,27

Step-by-step explanation:

Just multiply x by 6 and subtract 3 to that

Answer:

those are the answers

Step-by-step explanation:

so basically you multiply the top number by the number in the side like: -3x^2 × 3x, -3x^2 × -5 (if that makes sense?)

Answer:I think being honest with them just tell them how you really feel not because just they ask and you just say I am fine how are you just tell how you really feel about that day. Be honest ...

Step-by-step explanation:

How I've been today? Quite magnificent. Thank thou for your generosity.