Make congruent angles. Write down the ratios.

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

Given parameters:

              1 mile = 6 x 10⁴ inches

Average human hair  = 3 x 10⁻³ inches

Unknown:

How many times longer is a mile than a human hair;

Solution:

 Since we know that a mile 6 x 10⁴ inches , we can compare this quantity to the human hair;

     Number of times  = \(\frac{6 x 10^{4} }{3 x 10^{-3} }\)

     Number of times  = 2 x 10⁴⁺³

     Number of times  = 2 x 10⁷

So, a mile is 2 x 10⁷ times longer than the human hair.

Answer:

The answer is 4.5

Step-by-step explanation:

Now, we will use ''SohCahToa"

tan θ = Opp ÷ Adj

tan 75° = 17 ÷ x

3.73 = 17 ÷ x

x = 17/3.73

x = 4.5

Thus, The value of x is 4.5

-TheUnknownScientist 72

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

To learn more about slope-intercept, refer to:

https://brainly.com/question/1884491

#SPJ1

Answer:

  C

Step-by-step explanation:

You want to choose the number line graph that appropriately represents the inequality 0 < x ≤ 26.

The given compound inequality is conveniently written with the "arrows" pointing to the left. This means the lower limit of the variable is on the left side of the inequality, just as it is on the left end of the number line graph.

The inequality symbols used are "less than" (<) and "less than or equal to" (≤). The "less than" symbol is represented on a number line graph by an open circle. The "less than or equal to" symbol is represented by a filled dot on the number line.

This means you are looking for a graph that has an open circle on the left end of a solid line, and a filled dot on the right end. Only graphs B and C have finite-length lines, and only graph C has a filled dot at the right end.

In English, the word "between" often implies "and including" when it is describing an interval between two limits. Here, you are given 3 car seat specifications:

The seats appropriate for a 33-lb child would be seats B and C, because 33 is included in each of those intervals.

Answer:

30cm²

Step-by-step explanation:

base (5cm) × height (12cm) = 60cm ÷ 2

Answer:

y = 2 x - 8

Step-by-step explanation:

The image below shows proof that the points (4,0) and (7,6) lie on the equation y = 2 x - 8

Hope this helps! :)

Answer:

Step-by-step explanation:

The image doesn't load for me

Answer:20 ounces of fertilizer

Step-by-step explanation:

Answer:

No.  The data in this study were not based on a random method.  This is a key requirement for an inference to be made from the two-sample t-test.

Step-by-step explanation:

1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance.  There are three conditions to be met when using the two-sample t-test.

2. The first condition is that the sampling method must be random.  This requirement was not met in this study.  Each customer from each store should have an equal chance of being selected for the study.  This was not achieved.

3. The distributions of the sample data are approximately normal.  This is achieved with a large sample size of 30 customers selected for each study.

4. The last but not the least condition is the independence of the sample data.  Sample data here is independent for both samples.

The 500 sample size and 95% confidence level will both tend to increase the width of the confidence interval.

In this question, we have been given  the combinations of sample size and confidence level.

We need to select a combinations of sample size and confidence level that will give the widest interval.

We know that the confidence level is typically set in the range of 99% to 80%. The 95% confidence interval will be wider than the 90% interval and which will be wider than the 80% interval.

As we know increasing the confidence will increase the margin of error which results in a wider interval.

But increasing the sample size decreases the width of confidence intervals, as it decreases the standard error.

This means, for the widest interval we need to select a high confidence interval and small sample size.

Therefore, the sample size = 500 and the confidence interval = 95% will give the widest interval.

Learn more about the confidence interval here:

https://brainly.com/question/22851322

#SPJ4

Answer:

1. 900 grams

2. 3 eggs

Step-by-step explanation:

1. 150 x 6 = 900

2. 450 / 150 = 3

Answer:

900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.

Step-by-step explanation:

First, multiply the number of large eggs by grams per large egg: 150×6=900

Next, divide the number of grams of flour by grams per large egg: 450/150=3

we have the following:

replacing:

Solving the equation for x, we have:

So the value of x is 6.

Ken will receive a total dividend payment of $75 for that quarter.

We have to given that,

Ken owns 500 shares of LaceNBrace, which makes hockey equipment.

And, He receives a notice stating the company will be paying $0.15 dividend per share.

Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:

= $0.15 per share x 500 shares

= $75

Therefore, Ken will receive a total dividend payment of $75 for that quarter.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Answer:

24000 I'm guessing you want to know the price of the car.

Step-by-step explanation:

1920/.08=24000

By answering the presented question, we may conclude that As a result, equation the real circumference of the triangle space is around 30 metres.

A math equation is a technique that links two assertions and denotes equivalence using the equals sign (=). In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, in the equation 3x + 5 = 14, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on either side of a letter. The logo and the programme are usually interchangeable. As an example, 2x - 4 equals 2.

Because the blueprint is designed on a scale of 12 centimetres Equals 1 metre, each 1 centimetre on the blueprint represents 0.0833 metres (1/12 of a metre).

Assume the triangle chamber on the blueprint has a perimeter of 30 cm. We may apply the following calculation to determine the real perimeter in metres:

Blueprint perimeter x Scale factor x 0.0833 = Real perimeter

Real circumference = 30 x 12 x 0.0833

Actual circumference = 29.988 metres

As a result, the real circumference of the triangle space is around 30 metres.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

C: 48

Step-by-step explanation:

1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48

Answer:

48 marbles, it's C

Step-by-step explanation:

why?

Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.

So you just get 1/6 to 6/6

so you do, 8*6 which equals to 48

Answer:

69

Step-by-step explanation:

The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

More on breathalyzers can be found here: https://brainly.com/question/26086547

#SPJ1

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

for such more question on domain

https://brainly.com/question/16444481

#SPJ8

The value of X is 35 because the angle 35 measures the same as the angle X, hence their values are the same

Answer:

x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)

Step-by-step explanation:

The equation you were given was:

amount of solution • rate of concentration = amount of pure acid

By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.

You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:

0.18 • x = 860 mL

Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.

860 / 0.18 = x

x = 43000/9 or 4777.7

Step-by-step explanation:

i) 0.0031 (or) 3.1×10^(-3)

ii) 0.0013 (or) 1.3×10^(-3)

I hope It helped you

The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

For more such questions on enrollment,click on

https://brainly.com/question/1101942

#SPJ8

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

a)M5=40º

b)M2=140º

c)M2 and M5 are supplementary angles

d)M2 and M5 are same side interior angles

e) A||B

Step-by-step explanation:

Remember that same side interior angles are the angles that are located on the same side of a straight line that cuts through two parallel lines, and these angles are supplementary, meaning that the sum of both of them will always be 180º. So by stating that M5 and M2 add up to 180º and they are on the same side of a straight line cutting through two straight lines we can prove that those two lines are parallel.

Answer:

1. 26.1 cm²

Step-by-step explanation:

For area of semi circle

diameter = 6cm

radius = 6/2 = 3cm

Area of semi circle = 1/2 x pi x r²

= 1/2 x 3.14 x 3²

= 1.57 x 9

= 14.13 cm²

For area of rectangle,

length = 6cm

breadth = 2cm

Area = length x breadth

= 6 x 2

= 12cm²

Area of compound shape = 14.13 + 12

= 26.13 cm²