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The value of angle mXUV is 76⁰.

The value of angle mXUV is  109⁰.

The measure of angle mWXU is calculated by applying the following circle theorem.

mWXU  = ¹/₂ ( 152⁰ ) (angle at tangent is half the angle subtended by an arc )

mWXU  =  76⁰

The value of angle mXUV is calculated as follows;

mXUV + mXWV = 180 (opposite angles of a cyclic quadrilateral)

mXWV + 71 = 180

mXWV = 180 - 71

mXWV = 109⁰

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The ratio of the diameter of the nucleus to the diameter of the atom is   [tex]2 \times 10^{-5}[/tex] .

A ratio is a mathematical relationship between two or more numbers that shows how much one number is in relation to the other.

As per the given data:

Diameter of an atom = [tex]4 \times 10^{-8}[/tex] cm

Diameter of the nucleus = [tex]8 \times 10^{-13}[/tex] cm

To find the ratio of the diameter of the nucleus to the diameter of the atom:

Ratio = (diameter of the nucleus) / (diameter of the atom)

Ratio = [tex]\frac{8 \times 10^{-13}}{4 \times 10^{-8}}[/tex]

[tex]= 2 \times 10^{-13 + 8}\\ = 2 \times 10^{-5}\\[/tex]

Hence, the ratio of the diameter of the nucleus to the diameter of the atom is  [tex]2 \times 10^{-5}[/tex] .

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Therefore , the solution of the given problem of linear equation comes out to be y= (3/2)x + 5 .

The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.

Here,

We must first determine the slope of the line before using the point-slope form of the equation of a line to determine the equation of the line that goes through two points.

The angle of the line that connects the coordinates (2, 8) and (8, 7) is:

=> slope = (−7 − 8) / (−8 − 2)

=> slope = −15 / −10

=> slope = 3/2

When we express the equation of a line in the point-slope format, where (x1, y1) is one of the line's points and m is its slope, we get the following result:

=> y − y1 = m(x − x1)

By selecting the line's origin (2, 8) and substituting the slope m = 3/2, we obtain:

=> y − 8 = (3/2)(x − 2)

The equation y = mx + b is transformed into the slope-intercept form by condensing and reordering the variables.

=> y = (3/2)x + 5

Consequently, y = (3/2)x + 5 represents the equation of the line going through the points (2, 8) and (8, 7) respectively.

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Answer:

The value of x = -4

Step-by-step explanation:

The given linear function is f(x) = -4x+8

We have to find the x corresponding to f(x) = 24

For our convenience, let f(x) = y

Then y = -4x + 8

This equation implies y in terms of x.

Isolating x to one side of the equation, we get,

x = (y - 8)/-4 = (8-y)/4

This equation gives x in terms of y.

So when f(x) = y = 24,

x = (8-24)/4

⇒ x = -4

Answer:

We can simplify the expression as follows:

First, we need to evaluate the exponent in parentheses:

2-3 = -1

Next, we need to square -1:

(-1)^2 = 1

Now, we can substitute 1 back into the expression:

+(-4)(1)

Finally, we can simplify:

+(-4) = -4

Therefore,

+(-4)(2-3)^2 = -4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 + 10 = 20

☁️Answer☁️ I think D.

️Step-by-step explanation️ hope this helps

An equation that describes this function include the following: C. 9x - 7 = y.

In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.

This ultimately implies that, an input value (x-value) represents the value on the x-axis of a cartesian coordinate while a output value (y-value) represents the value on the y-axis of a cartesian coordinate.

Based on the information provided, an equation that models the situation is given by;

9x - 7 = y.

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Answer:

Below

Step-by-step explanation:

I think statistically that all of the scores will fall within 6 standard deviations   .....   3 above the mean and 3 below the mean

 from 85  to 165 is 3 standard deviations

     165 - 85 = 80       80 / 3 = 26.67 = standard deviation

Hmm.....not sure how they get the S.D. is 40 ....hope someone else can help us !    

Standard bellcurve below.... score 125 does not seem to be in the 1 S.D. position of the curve....Kinda close I guess....

 Maybe they are saying from 80 to 165 is TWO Standard deviations....THAT would equal 40.....what have your lessons been using?

Answer: 13 pints

Step-by-step explanation:

she used 27 pints at first (9/10 of the 30)

so she has 3 pints left.

and 16-3 = 13 pints.

With a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.

A scale factor is used when a shape is enlarged and each side is multiplied by the same quantity.

This number represents the scaling factor. Map scale factors are used to show distances between locations accurately.

The new shape created by scaling the original shape is twice as big when the scale factor is 2.

Thus, calculate the larger cylinder's volume as follows:

x/5 = 28/2

2x = 28*5

2x = 140

x = 70m³

Therefore, with a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.

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Complete question:

The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder?

Question 8 options:

A. 700 m3

B. 350 m3

C. 70 m3

D, 437.5 m3

E. 175 m3

Answer: 70m^3

Step-by-step explanation:

I took the test

Answer:

A. 45/53

Step-by-step explanation:

.............

Answer:

A. 45/53

Step-by-step explanation:

sin ø is A.

have a nice day

Answer: 14.5 and 5.5

Step-by-step explanation:

The issue is using whole numbers. 14+6=20, but 14-6=8.   15+5=20, but 15-5=10. If we use decimals, we can get in between the numbers a little to get 9. 14.5+5.5=20, but unlike 14+6, 14.5 gives 5 a tiny boost to push it to 14.5-5.5=9. Hope that helps!

Answer:

14.5

5.5

Step-by-step explanation:

14.5+5.5=20

14.5-5.5=9

Answer:

Below

Step-by-step explanation:

EVERY triangle's angles add up to 180 degrees

  a RIGHT triangle has a 90 degree angle

       this right triangle also has a 45 degree angle

              let x° = third angle

                     90°  + 45°  + x° = 180°

                                 x = 180 - 90 - 45 = 45 degrees

Eric made the wrong ratio of the sides of the triangle. As corresponding sides of both triangles are in proportion to each other. So, the proportion will be x/12=9/5. x equal to 21.6.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. If the corresponding sides and angles of two triangles are proportionate, then the triangles are similar. As a result, using another triangle, we may determine the dimensions of one triangle.

So, the right ratio of the sides of the triangle is x/12=9/5

12 * 9 / 5 =x

108/5 = x

21.6 = x

Therefore, x is equal to 21.6

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Answer:

1. ASA

2.SSS

3. AAS

4. HL

5. it cannot be proven congruent (not satisfy any criteria)

6. ASA (the top angle of each triangle are congruent)

7. SAS

8. SSS

9. HL

10. AAS

11. it cannot be proven congruent (not satisfy any criteria)

12. SAS or AAS or ASA (the three angles of each triangle are congruent)

Step-by-step explanation:

In the picture attached, the triangles are shown. The criteria are:

SSS: side side side

SAS: side angle side

ASA:  angle side angle

AAS: angle angle side

HL: hypotenuse-leg (only valid for right triangles)

Answer:

201.5km

Step-by-step explanation:

50000cm = 500m

1000m + 500m = 1500m

1km = 1000m

So 1.5km = 1500m then..

200km + 1.5km = 201.5km

Answer x is 7

Step-by-step explanation:

The three angles are 104degrees, (9x-25) and unknown

The pictures shows that the two sides are equal therefore the two opposite angles are equal

104 + (9x-25) +(9x-25) =180

RE write

104 +2(9x-25) =180

Subract 104 from both sides

2(9x-25) = 180-104

2(9x-25) = 76

Divide both sides by 2

9x - 25 = 38

Add 25 to both sides

9x = 63

Divide both sides by 9

X =7

The angle is 9x-25 = 38

Answer:

ambiguous question dear!!

Step-by-step explanation:

So, 30 reflects the amount of water that is being removed from the swimming pool per minute in gallons.

In the provided formula, 25,000 - 30x, x is the amount of time in minutes and 30 is the pace in gallons per minute at which the pool is draining.

The expression is a linear equation of the form y = mx + b, where x is the length of time that has passed and y is the amount of water that is still in the pool.

The slope (m) of the equation in this instance is -30, which means that the pool's water level is dropping at a rate of 30 gallons per minute.

The expression's value decreases as more time passes because the value of x rises. As a result of the water draining out of the pool at a constant rate of 30 gallons per minute, the pool's volume is dropping linearly over time.

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The probability that a random sample of 50 seniors has a mean score of at most 415 is given as follows:

0.1894 = 18.94%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters are given as follows:

[tex]\mu = 425, \sigma = 80, n = 50, s = \frac{80}{\sqrt{50}} = 11.31[/tex]

The probability that they scored at most 415 is the p-value of Z when X = 415, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (415 - 425)/11.31

Z = -0.88

Z = -0.88 has a p-value of 0.1894.

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Answer:

The answer is D hope this helps:)

Step-by-step explanation:

Answer: $4.35

Step-by-step explanation:

320.38 rupees / 73.6500 rupees = $4.35

Answer:

22² · π

Step-by-step explanation:

The formula to find the area of the circle is

A = π · r²

r = 22

Looking at the options, the answer is 22² · π

if d=11 in then the volume of the sphere=697.19

[tex]V=\frac{4}{3} \pi d[/tex]

[tex]V=\frac{4}{3} *\frac{22}{7} *5.5^{3} =697.19[/tex]

The amount of room a spherical occupies inside is its volume. Because every point on the sphere's surface is equally spaced from its center, the sphere can be considered a three-dimensional round solid object. The fixed point and fixed distance, respectively, represent the sphere's center and radius. V = 4/3 r3, where r is the radius and V is the volume, is the formula for a sphere's volume. The radius of a sphere is equal to half its diameter. A circle and a sphere are both round, if you compare them. As the sphere is a three-dimensional object rather than a two-dimensional circle, we can estimate its volume and surface area.

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The best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.

What is work and time in mathematics?

In mathematics, work refers to the amount of effort or energy needed to complete a task or achieve a goal. Work is often measured in units such as joules or calories.

Time refers to the duration or amount of time it takes to complete a task or achieve a goal. Time is often measured in units such as seconds, minutes, hours, or days.

To estimate the time it will take Andrea and her friend to paint the fence together, we can use the formula:

Total Time = (Time for Person 1 x Time for Person 2) / (Time for Person 1 + Time for Person 2)

Using this formula, we can estimate the time it will take Andrea and her friend to paint the fence together as:

Total Time = (6 hours x 4 hours) / (6 hours + 4 hours) = 24/10 = 2.4 hours

Therefore, the best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.

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Step-by-step explanation:

This figure is made up of a cone and a semi sphere. Let's find the area of the cone

Volume of a cone

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

The height is 34 cm.

The radius is half the diameter of the sphere ,

this the radius is 14

[tex] \frac{1}{3} \pi( {14}^{2} )(34)[/tex]

Hint: Do not round mid calculations, only when you are done.

Volume of the semi sphere is

[tex] \frac{1}{2} ( \frac{4}{3} \pi {r}^{3} )[/tex]

The radius is 14

[tex] \frac{1}{2} ( \frac{4}{3} \pi(14) {}^{3} )[/tex]

Add both areas

[tex] \frac{1}{3} \pi( {14}^{2} )(34) + \frac{2}{3} \pi(14) {}^{3} [/tex]

Use 3.14 for pi

Which gives us

12719 to the nearest whole number

Jevonte's rate of mowing is 1.5 lawns per hour.

A rate in mathematics is an indicator of how one quantity has changed in relation to another, usually given as a ratio or fraction. Rates are frequently used to explain the relationship between two quantities as they vary through time, space, or another variable. For instance, whereas interest rates track the evolution of money over time, speed tracks the change in distance per unit of time. Rates are used to describe and study numerous phenomena in several disciplines, including physics, economics, and finance.

Given that, Jevonte mowed 6 lawns in 4 hours.

Thus,

Rate of mowing = Number of lawns / Number of hours

Rate of mowing = 6 lawns / 4 hours

Rate of mowing = 1.5 lawns per hour

Hence, Jevonte's rate of mowing is 1.5 lawns per hour.

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Answer:

To convert from Celsius to Fahrenheit, we can use the formula F = (C × 1.8) + 32.

First, we need to convert 10.5 °C to Fahrenheit:

F = (10.5 × 1.8) + 32

F = 18.9 + 32

F = 50.9 °F

Then, we can add the 1.5 °C increase in temperature:

New C temperature = 10.5 + 1.5 = 12 °C

And convert that to Fahrenheit using the same formula:

F = (12 × 1.8) + 32

F = 21.6 + 32

F = 54.6 °F

Therefore, the water temperature this weekend in F° will be approximately 54.6 °F.

The probability of five successes where the number of trials is 6 and the probability of success is p = 0.2608, for the binomial probability distribution is; P(x = 5) = 0.00535

The binomial probability function can be expressed as follows;

Pₓ = [tex]\binom{n}{k}[/tex] × Pˣ × (1 - P)⁽ⁿ ⁻ ˣ⁾

Where;

P = The probability of success

x = The number of successes

n = The number of trials

The details from the question includes;

The type of probability distribution = Binomial probability distribution

The number of trials = 6

The probability of success = 0.2608

Therefore;

The probability of success, P = 0.2608

Number of trials, n = 6

The required number of successes, x = 5

Plugging in the above values in the binomial probability formula , we get;

P₅ = [tex]\binom{6}{5}[/tex] × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ = 6 × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ ≈ 0.0054

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