how to find parallelogram height with angles and side length

Answer:

You can by 7 shirts if you wanted

Answer:

175 ÷ 25

=> 7

Therefore, you can only buy 7 shirts.

Step-by-step explanation:

Hoped this helped

The 99% confidence interval for the true mean thickness of the metal sheets is approximately (0.2691 mm, 0.2771 mm).

The 99% confidence interval for the true mean thickness of metal sheets in Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, based on the sample data, is calculated to be approximately (0.2691 mm, 0.2771 mm).

To calculate the 99% confidence interval, we use the formula:

CI = \(\bar{x}\) ± Z * (σ/√n)

Where:

- CI represents the confidence interval

- \(\bar{x}\) is the sample mean

- Z is the critical value based on the desired confidence level (99% confidence level corresponds to a Z-value of approximately 2.576)

- σ is the population standard deviation

- n is the sample size

Given that the sample mean \(\bar{x}\) is 0.2731 mm, the standard deviation σ is 0.000959 mm, and the sample size n is 58, we can plug these values into the formula:

CI = 0.2731 ± 2.576 * (0.000959/√58)

Calculating this expression, we get:

CI ≈ (0.2691 mm, 0.2771 mm)

Therefore, the 99% confidence interval for the true mean thickness of the metal sheets is approximately (0.2691 mm, 0.2771 mm). This means that we can be 99% confident that the true mean thickness of metal sheets in the plant falls within this interval.

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Answer:

C. 52/289

Step-by-step explanation:

Ok so the total number of marbles is 6+4+2+5 (17).

The probability of picking an orange is 4/17 (because there are 4 orange blocks).

The probability of picking a block that isn't orange is 13/17.

Multiply those two numbers together, and you get: 52/289

Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

L + M = 55

30 * L + 15 * M = 1350

One way to solve this would be to solve for L in the first equation and substitute that into the second

subtract M from both sides in the second equation

55 - M = L

30 * (55-M) + 15 * M = 1350

30 * 55 - 30 * M + 15 * M = 1350

1650 - 15M = 1350

subtract 1650 from both sides to isolate the M and its coefficient

-15M = -300

divide both sides by -15 to isolate M

M = 20

L = 55-20 = 35

Answer:

neither

Step-by-step explanation:

look at the image

Answer: he needs to drive 280 more miles to reach his cousins house

Step-by-step explanation:

Answer:

I have no idea what this is

Febuary 10th because on the left colom it showss the dates just look for the 10

Answer:a

Step-by-step explanation:

The distance traveled is equal to sin^2(θ), as seen before.

To find the distance traveled by a particle with position (x, y) as t varies in the given time interval, we need to first find the parametric equations for x and y in terms of t, and then compute the arc length of the curve.

Given x = sin^2(t) and y = cos^2(t), we first find the derivatives of x and y with respect to t:
dx/dt = 2 * sin(t) * cos(t)
dy/dt = -2 * sin(t) * cos(t)

Next, we compute the square root of the sum of the squares of the derivatives:
sqrt((dx/dt)^2 + (dy/dt)^2) = sqrt((2 * sin(t) * cos(t))^2 + (-2 * sin(t) * cos(t))^2) = sqrt(4 * sin^2(t) * cos^2(t) + 4 * sin^2(t) * cos^2(t)) = 2 * sin(t) * cos(t)

Now, we can find the distance traveled by integrating the above expression with respect to t over the given time interval (0, θ):

Distance traveled = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

Using the substitution u = sin(t), du = cos(t) dt, we get:

Distance traveled = ∫(2 * u du) from 0 to sin(θ)

Now, integrating with respect to u, we get:

Distance traveled = u^2 | from 0 to sin(θ) = (sin^2(θ)) - (0^2) = sin^2(θ)

The length of the curve can be computed as the arc length:

Length of the curve = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

As we computed earlier, the distance traveled is equal to sin^2(θ). Therefore, the distance traveled by the particle is the same as the length of the curve.

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Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

The value of x=10 is y=4 if y=8 if x=20.

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics. It is also used to name specific types of algebraic structures, such as an algebra over a field, which is frequently referred to as an algebra. The word algebra is used to name both a mathematical field and some of its subfields.

When x=20, y=8

The value of y is 0.4 times of x.

y=0.4×20

y=8

So, when x=10

y=0.4×10

y=4

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Answer: the answer is the first one ,the third one , and the fourth

Step-by-step explanation:5x5 25

15x15 225

The distribution of IQ is approximately normal in shape with a mean of 100 and a standard deviation of 20. According to the standard deviation rule, 95% of people have an IQ between 60 and 140.

The IQ distribution follows a normal distribution, also known as a bell curve, with a mean of 100 and a standard deviation of 20. This means that the majority of individuals fall close to the average IQ score of 100, and the further away from the mean, the fewer people there are with those IQ scores.

The standard deviation rule, also known as the empirical rule or the 68-95-99.7 rule, is a statistical guideline for normal distributions. It states that approximately 68% of values fall within one standard deviation of the mean, approximately 95% fall within two standard deviations, and approximately 99.7% fall within three standard deviations.

In this case, we are interested in the percentage of people who have an IQ between 60 and 140. Since the mean is 100 and the standard deviation is 20, we can calculate the distance from the mean to each boundary as follows:

Lower boundary: (60 - 100) / 20 = -2 standard deviations

Upper boundary: (140 - 100) / 20 = 2 standard deviations

According to the standard deviation rule, approximately 95% of values fall within two standard deviations of the mean. Therefore, approximately 95% of people have an IQ between 60 and 140.

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\(\huge \boxed{\sf x=2}\\\\\\\displaystyle \sf AC=AB+BC\\\\41=3x-1+14x+8\\\\41=17x+7\\\\Subtracting\ 7\ from\ each\ side \\\\ 41-7=17x+7-7 \\\\ 34=17x\\\\Dividing\ each\ side\ by\ 17 \\\\ \frac{34}{17}=\frac{17x}{17} \\\\ 2=x\)

Rita has a head start, has she began her race 28 Mile ahead of the starting  point.

Since they moved at a constant speed, then there speed is the same through out the journey.

Speed is given by the slope:

(y2 - y1) / (x2 - x1) = (130 - 65) / (2 - 1) = 65 / 1 = 65 mph

Roger's starting position, when t = 0

t = 1 ; distance = 65 miles

t = 0 ; 65 - speed per hour = 65

At t = 0 ; 65 - 65 = 0 miles

Hence, Roger does not have a head start.

For Rita :

Speed is also constant :

Speed or rate = slope of the graph :

(y2 - y1) / (x2 - x1) = (158 - 93) / (2 - 1) = 65 / 1 = 65 mph  

Rita's starting position, when t = 0

t = 1 ; distance = 93 miles

t = 0 ; 93 - speed per hour

At t = 0 ; 93 - 65 = 28 miles

Hence, Rita has a head start of 28 miles.

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Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679.

Answer:

3.14 = π   as the 100th decimal place  and below is the 24th digit

Step-by-step explanation:

Pi · π

3.141592653589793238462643  =  3.14

Answer:

There should be 90 chips left in the bag o-0

Answer:

x = -4

Step-by-step explanation:

Plug in -15 into the equation:

f(x) = 2x - 7

-15 = 2x - 7

Solve for x:

-15 = 2x - 7

-8 = 2x

-4 = x

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

The expected value of X is 65.805. This means that if we were to repeat this experiment many times, on average, the value of X would be close to 65.805.

To find the expected value of a discrete random variable X, we use the formula:

E[X] = Σ(xi * pi)

where xi is the value of X and pi is the probability of X taking that value.

In this case, we are given the probability distribution function (PDF) of X, which lists the possible values of X and their corresponding probabilities. So we can simply plug in these values into the formula to find the expected value:

E[X] = 65.7(0.06) + 98.5(0.18) + 72.6(0.13) + 72.3(0.09) + 52.2(0.54)

= 3.942 + 17.73 + 9.438 + 6.507 + 28.188

= 65.805

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The area of the shaded region is (25π - 24) cm².

Area of a two dimensional shape is the total region which is bounded by the object's shape.

To find the area of the shaded region, first find the area of the whole circle.

Area of a circle = π r², where r is the radius of the circle.

Radius of the circle = 5 cm

Area of whole circle = π (5)² = 25π cm²

Now, we have to find the area of triangles.

Area of a triangle = \(\frac{1}{2}\) × base × height

Base = 6 cm

Height = 5 - 1 = 4 cm

Area of 2 triangles = 2 × \(\frac{1}{2}\) × 6 × 4 = 24 cm²

Area of shaded region = (25π - 24) cm²

Hence the area is (25π - 24) cm².

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The steps for adding and subtracting fractions with whole numbers:

- Write the whole number in the form of a fraction.

- Convert the fractions to like fractions.

- Add/Subtract the numerators while the denominator remains the same.

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part of fraction is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

In case of adding and subtracting fractions with whole numbers:

Let us assume that 'a' represents the whole number and \(\frac{x}{y}\) be fraction

First we write the whole number in the form of a fraction.

So, a = \(a = \frac{a}{1}\)

Now we find the LCM of the denominators of fractions \(\frac{a}{1} ,\frac{x}{y}\) and then convert the given fractions to like fractions.

Let m be the LCM of the denominators of fractions \(\frac{a}{1} ,\frac{x}{y}\)

So, the fractions becomes  \(\frac{a}{m} ,\frac{x}{m}\)

Last we Add/Subtract the numerators while the denominator remains the same.

i.e., \(\frac{a\pm x}{m}\)

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The complete question is:

How to add /subtract fractions with whole numbers?

Answer: Let's use some algebra to solve the problem.

Let x be the number of hamburgers sold on Sunday. Then, the number of cheeseburgers sold is 50 less than x, which we can represent as (x - 50).

The total number of hamburgers and cheeseburgers sold is 450, so we can set up an equation:

x + (x - 50) = 450

Simplifying the left side:

2x - 50 = 450

Adding 50 to both sides:

2x = 500

Dividing by 2:

x = 250

So, 250 hamburgers were sold on Sunday.

To check, we can calculate the number of cheeseburgers sold:

x - 50 = 250 - 50 = 200

And indeed, the total number of hamburgers and cheeseburgers sold is 250 + 200 = 450.

Step-by-step explanation:

On the basis of given informations and values the angle of elevation of the ramp is calculated to be approximately 22 degrees.

We can use the tangent function to find the angle of elevation of the ramp. Let's call the height of the ramp "h" and the horizontal distance from the bottom of the ramp to the building "d". Then the tangent of the angle of elevation θ is given by:

tan θ = h/d

Substituting the given values, we get:

tan θ = 6/15

Simplifying this expression, we get:

tan θ = 0.4

To find the angle θ, we can take the inverse tangent (or arctan) of both sides of the equation:

θ = tan⁻¹ (0.4)

Using a calculator, we get:

θ ≈ 21.8 degrees

Therefore, the angle of elevation of the ramp to the nearest degree is 22 degrees.

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If 18% of the pieces in the box were unpainted, that means 82% of the pieces in the box were painted.

And since 738 pieces were painted, that number comprises 82% of the total number of pieces.

Therefore, the number of pieces in the box was : 738 : 82% = 900 (pieces)

Answer:

1:27pm

Step-by-step explanation:

52 + 8 = 1 hour

29 - 8 = 21

1 hour and 21 minutes

2:48 - 1:21

1:27pm

If the coach buys the packs of Gummi Bears at $0.60 and resales them at $1 , then the percent markup for the candy is (d) 67% .

The price for which the Coach buys Gummi Bears is = $0.60 ;

the price at which the Coach resales them is = $1 ;

So , the Markup is the difference in the price of purchase and price of resale of the candy ,

that means ; the \(Markup = \$1 - \$0.60\) ;

= $0.4

So , the Percent Markup is = \(\frac{0.4}{0.6} \times 100\)

= 66.66666...

≈ 67% .

Therefore , the percent Markup for the Candy is 67% .

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Answer:

Step-by-step explanation: