Brett runs at constant speed, 3 miles every 45 minutes. At this rate, how many mile(s) does he run in 12 minutes?

Answer:

the Ans is 3.4

Step-by-step explanation:

8(3x - 7) = -6(x + 7) + 4

24 x – 56 = -6x - 42 + 4

24x - 56 = -6x + 46

30 x = 102

X=3.4

The distance across the lake is 61.92 m. The solution has been obtained by using triangle similarity theorem.

What is triangle similarity theorem?

When two triangles are similar, their area ratios are proportional to the square of the ratio of the respective sides. This demonstrates that the ratio of two identical triangles' surfaces is proportional to the squares of the corresponding triangle surfaces.

We are given two triangles and using the triangle similarity theorem, we know that the ratio of sides PS and SQ is equal to the ratio of sides ST and QR.

So, from this we get

⇒ \(\frac{PS}{SQ}\) = \(\frac{ST}{QR}\)

On substituting the values, we get

⇒ \(\frac{195}{100}\) = \(\frac{120.75}{QR}\)

On cross multiplication, we get

⇒ 195 * QR = 120.75 * 100

⇒ 195 * QR = 12075

⇒ QR = 61.92 m

Hence, the distance across the lake is 61.92 m.

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Answer:

62.5%

Step-by-step explanation:

13-8=5

5/8 × 100=62.5

Answer:

sqrt(181)

Step-by-step explanation:

sqrt (9^2 + 10^2)

To find the distance between two points in a 2D coordinate system, we can use the distance formula.

The formula is: d \(= √((x2 - x1)^2 + (y2 - y1)^2)\) Given the points (5,-3) and (-4,7), we can substitute the values into the formula: d \(= √((-4 - 5)^2 + (7 - (-3))^2) = √((-9)^2 + (7 + 3)^2) = √(81 + 100) = √181\) Thus, the distance between the two points is √181, which is approximately 13.45 units.

In summary, the distance between the points (5,-3) and (-4,7) in a 2D coordinate system is approximately 13.45 units. This is calculated using the distance formula, which involves finding the difference in x-coordinates and y-coordinates, squaring them, summing the squares, and then taking the square root of the sum.

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The number of wins is 68 ad losses is 26.

Let the number of losses = l

Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16

Total games = 94

Therefore we will add the equation

l + 16 + 2l = 94

3l + 16 = 94

3l = 94 - 16

3l = 78

Divide

l = 78/3

l = 26

Losses = 26

Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68

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Answer: x ≥ 15

Step-by-step explanation:

The first step is to write an equation:

205 - 2x ≤ 175

This is because Alex wants to reach his target of 175 pounds, he needs to weigh less than or equal to 175 pounds after x amount of weeks.

The second step is to solve:

205 - 205 - 2x ≤ 175 - 205

- 2x/-2 ≤ -30/-2

x ≥ 15

When solving an inequality, and multiplying or dividing to isolate the variable, you must switch the sign.

So this is why x ≥ 15.

I hope I helped and have a great day! ^-^

Step-by-step explanation:

So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....

Area of rectangular parking lot = 7081 m²

length of parking lot = 97 m

Width = ?

Now,

Area = l × b

7081 = 97 × b

7081 / 97 = b

b = 73 m

Hence the width is 73 m....

Answer:

C

Step-by-step explanation:

-3x+15=18

-3(-1)+15=18

3+15=18

Answer:

Correct answer is C

Step-by-step explanation:

-3 (-1) +15= 18

3+15=18

Answer:

x=6

∠TSU=12x=12(6)=72

Step-by-step explanation:

∠TUS+∠STU+∠TSU=180

∠TUS+12x+81=180

∠TUS=99-12x

∠TUS+∠TUV=180

99-12x+24x+9=180

108+12x=180

12x=72

x=6

∠TSU=12x=12(6)=72

There you go. Try and use these solutions to solve others for yourself. You got it.

Answer:

Step-by-step explanation:

Angle TUV is exterior angle to triangle TUS. Exterior angle measure is equal to sum of non-adjacent interior angles:

Solving for x

Finding angle measure of ∠TSU

The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.

The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.

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Answer:

The answer is -5 well that's what I think if you go in order so it would not be The entire explanation is a sum so that leaves three more  The coefficient of sis 3, The term is a quotient T, and The term has a variable so And I think the answers are The term is the quotient T and the term 2 has a variable. Hopefully, this is helpful.

Step-by-step explanation:

Answer:

22,3 is the answer to the question

Answer:

It's D

Step-by-step explanation:

The ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home will be 51: 52.

The utilization of two or more additional numbers that compares is known as the ratio.

The weight of the semi-truck trailer tire is 102 pounds.

The weight of the mobile home is 104 pounds.

The ratio of the weight of a semi-truck trailer tire to a mobile home is given as.

Ratio = 102 / 104

Ratio = 51 / 52

Ratio = 51: 52

The ratio of the weight of a semi-truck trailer tire to a mobile home will be 51: 52.

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To simplify a radical expression, you can use a few different techniques. One common technique is to factor the expression under the radical sign (the radicand) as much as possible.

Another technique you can use is to use the properties of radicals. For example, you can use the product property of radicals to combine like terms under the radical sign

You can also use the quotient property of radicals to divide out a factor under the radical sign. Finally, some radicals are unsimplifiable by these methods. You can approximate a value of radical or try to get it in a form of fraction with radical.

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"Create a new matrix by copying elements greater than or equal to 25 from the original matrix."

To process a given n×m matrix with the provided rules, we need to create a new matrix that retains only the elements greater than or equal to 25 from the original matrix. We can start by initializing an empty new matrix of the same size as the original matrix. Then, we iterate through each element of the original matrix. For each element, we check if it is greater than or equal to 25. If it satisfies this condition, we copy that element to the corresponding position in the new matrix.

By applying this process for all elements in the original matrix, we generate a new matrix that contains only the elements greater than or equal to 25. The new matrix will have the same dimensions as the original matrix, and the elements in the new matrix will be placed in the same positions as their corresponding elements in the original matrix

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Answer:

8

Step-by-step explanation:

You always start with the equasions in parenthesis. 3-1 is 2 and 8 divided by 2 is 4. Then you can move on to the next part of the eqasion. You start by subtracting 2 from 5 and then multiplying that by 2.then you add up the answers and you gat 8.

The hypothesis is given as

H0:  μd< 0

H1: μd > 0

The null hypothesis is given as

H0:  μd< 0

H1: μd > 0

SWe have to find the value of s

we would use this formula s = sqrt [ (Σ(di - d)^2 / (n - 1) ]

This gives us  3.454

Next we have to determine the standard error

s / √(n)

3.454/2.8284

= 1.22

Degree of freedom = 8 - 1

= 7

t = (x1 - x2) - D / S.E

=  1.025

Find t critical at 0.10

= 1.895

P-value = 0.1697

d. Given that p value is greater thatn 0.1 we fail to reject the null hypothesis.

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Answer:

a) 9:11 am

b) 77°F

Step-by-step explanation:

a) From the clock shown in the image attached, we can see that the time that the sprinkler system is switched off is at 11:56 am. Since the strawberries are watered for a total of 2 hours and 45 minutes every day, the time that the sprinkler is switched on can be gotten by subtracting 2 hours 45 minutes from 11:56 am. Hence:

Time sprinkler system is switched on = 11:56 am - 2 hours 45 minutes = 9:11 am

b) Temperature in °Farenheit = (1.8 * temperature in degree Celsius) + 32°

Temperature in °Farenheit = (1.8 * 25°) + 32° = 45° + 32°

Temperature in °Farenheit = 77°F

Answer:

5 times is the answer

Step-by-step explanation:

\(\tt{10q-5q+q-q=10 }\) ⠀

\(\tt{11q-6q=10 }\) ⠀

\(\tt{ 5q=10 }\) ⠀

\(\tt{ q=\dfrac{10}{5} }\) ⠀

\(\tt{ q=2 }\) ⠀

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let m = slope

m = (-14 - 1)/(7 - (-3))

m = (-15)/(7 + 3)

m = -15/10

m = -3/2

Done.

Answer:

\(\angle A=90-72\)

\(\angle A=18\)

---------------

\(sin~72=\frac{b}{11}\)

\(11\times sin~72=6\)

\(b=10.5\)

----------------

\(11\times cos~72=a\)

\(a=3.4\)

----------------

ANSWER:

a=3.4

b=10.5

∠A=18

-----------------------

hope it helps...

have a great day!!

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\( {b}^{n \times 4} = {b}^{4n} \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

23.13m^2

Step-by-step explanation:

We'll use 3.14 for pi as instructed.

We can rearrange the figure to one square and 2 full circles.

Area of the square is 3m*3m = 9m^2

Area of a single full circle is pi*1.5m*1.5m = pi*2.25m^2 = 3.14*2.25m^2 = 7.065m^2

Full area = 9m^2 + 2*7.065m^2 = 9m^2 + 14.13m^2 = 23.13m^2

Answer:

23.14

Step-by-step explanation:

tto find the area of a circle itz A=πr

A=π1.5=7.07

3x3=9

7.07+7.07+9=23.14

Answer:

Step-by-step explanation:

18%

Answer:

18%

Step-by-step explanation:

We can work this out in a simple way by first converting the fraction 9/50 to a decimal. To do that, we simply divide the numerator by the denominator:9/50 = 0.18 Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:0.18 x 100 = 18%

The probability that the amount dispensed per box will have to be increased is 0.

To answer this question, we need to know the target amount that should be distributed per carton.

Assuming that the target amount is also 1 pound, we can use the concept of the normal distribution to estimate the likelihood that we will have to increase the amount distributed per case.

hence the probability of having to increase the amount is 0.

z = (target volume - mean) / standard deviation

z = (1 - 1) / 0.2

z = 0

A Z-score of 0 indicates that the target volume is equal to the mean. A standard normal distribution table or calculator can be used to find the probability that the amount should be increased.

However, the target amount is equal to the mean value,

In summary, without knowing the target amount to be dispensed in each case, it is not possible to determine the potential for volume increases.

If the target amount is to be £1 and the mean and standard deviation is also £1 and 0.2 respectively, then the probability of having to increase the amount is 0.

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Answer:

What is pi? Pi the ratio of the circumference of any circle to the diameter of that circle.

Why is pi day celebrated on March 14th? Be cause March 14 represents the value of Pi. March is the third month of the year, which is also the initial number of the value. The following number is 14, hence the March 14 date.

When is pi Approximation Day

celebrated? July 22

What does the symbol π mean? Pi

What is the diameter of a circle? Diameter is the length of the line through the center that touches 2 points on the edge of the circle.

What is the radius of a circle? The radius is half of the diameter.

How do you find the area of a circle? The area of a circle is pi times the radius squared. A = π r2

How do you find the circumference of a circle?

Two times it radius multiplied by pi or pi times its diameter.

What year was Pi Day first celebrated? 1988