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Solve the triangle. Trigonometry

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Answer:

Baseball and Hockey

Step-by-step explanation:

Their medians are close and their Max/Min spread and IQR are close as well.

Basically the one you have your mouse over is the correct one.

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The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer:

a) 23,1 milions

b) en 2013 - 2014

Answer:

Step-by-step explanation:

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Given:

A page of the scrapbook is a square with a length of 11 in

Each page holds three pictures that each have an area of 15in²

To find the remaining area, we will find the area of the page and the total area of the pictures, then subtract the area of the pictures from the area of the page

The area of the page = 11 x 11 = 121 in²

Total area of the pictures = 3 x 15 = 45 in²

So, the remaining area = 121 - 45 = 76 in²

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

The first one is acute, the second is right, and the third is obtuse.

Step-by-step explanation:

Hope this helps :)

Have an excellent day!

~sunny~

Answer:

Angle 1 - acute angle

Angle 2 - right angle

Angle 3 - obtuse angle

Step-by-Step Explanation:

The acute angle is smaller than right angles, right angles are 90 degrees, and obtuse angles have larger degree angle than right angles.  

Answer:

105,237,489

Step-by-step explanation:

One hundred five million goes in the millions slot (nnn)nnnnnn

Two hundred thirty seven thousand goes in the thousands slot nnn(nnn)nnn

Four hundred eighty nine goes in the ones slot nnnnnn(nnn)

Answer:

105,237,489

Step-by-step explanation:

Answer:

it's better to use a table method

Step-by-step explanation:

start from -2 to 2 insert these x values to your formula

Answer:

Step-by-step explanation:

y=20+15x

so x is slope

slope = 15

and when x =0 Y=20

for graph is starting from (0, 20) (1,35) (2,50)

Good luck!!

Answer:

$280

Step-by-step explanation:

7•40=$280

The option that is an appropriate procedure for this experiment is D. The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.

From the information illustrated, the doctor wants to determine if a new medication for cholesterol is more effective than the previous medication.

In this case, it should be noted that it's important to prevent bias. Therefore, it's important that the doctor randomly assign the 30 patients to the new medication

In conclusion, the correct option is D.

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Answer:

answer is A got it right

Step-by-step explanation:

The value of x is equal to 8.

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

In the similar triangles, TRS similar to DBC

TS/ SR = DC/ CB

70 / (11x - 4) = 50 / 60

Using cross products

70 (60) = 50 (11x - 4)

Distribute

4200 = 550x - 200

550x = 4200 + 200

550x = 4400

x = 8

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Answer: Skewed left, no outlier

Step-by-step explanation: You use the IQR and quartile 1&3 to find the number that defines an outlier. And for this one there are none

Answer:

the faster train = 137 mph

the slower train = 117 mph

Step-by-step explanation:

Givens

The distance travelled is 1270 km

The rate of one train = r

The rate of the other train = r - 20

The time to travel a total of 1270 miles is 5 hours.

Formula

d = r * t

5*r + 5*(r - 20) = 1270

Solution

5*r + 5*(r - 20) = 1270                  Remove the brackets

5r + 5r - 100  = 1270                    Add 100 to both sides

10r - 100 + 100 = 1270+100         Combine

10r = 1370                                    Divide by 10

r = 1370/10

r = 137

The bearing of B from C is 90 degrees, and the bearing of D from B is 90 degrees

From the given parameters, we can deduce that the positions of locations B, C and D are directly on the vertical and horizontal axes with respect to point A.

See attachment for the diagram that illustrates the positioning of these points.

From these diagram, we can conclude that the bearing and the bearing of D from B is 90 degrees

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3 tables of 200-miligram of medicine are needed daily for the patient.

According to the statement, we need to determine the amount of medicine (m), in miligrams, in proportion with the weight of the patient (M), in kilograms. Since there is a case of direct variation, we can determine the required amount by means of this expression:

m = r · M

Where r is the constant of proportionality, in miligrams per kilogram.

If we know that r = 10 mg / kg and M = 130 · 0.45 = 58.5 kg, then the required amount is:

m = 10 · 58.5

m = 580.5 mg

And the number of 200-miligram tablets is:

n = 580.5 mg / 200 mg

n = 2.90

n = 3

3 tables of 200-miligram of medicine are needed daily for the patient.

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The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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She has 45% of the original amount left

Fractions are written as a ratio of two integers

Given the following

Initial amount. = ∈4000

Amount given to her sister = 1/4 * 4000 = 1000

Amount given to her brother = 40% of 3000 = 1200

Amount left = 4000 - (1000+1200)

Amount left = ∈1800

Determine the percentage left

x * 4000 = 1800

x = 1800/4000

x = 0.45

x = 45%

Hence she has 45% of the original amount left

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Answer:

The range is 9

Step-by-step explanation:

Given that she has $200 saved, modeled by the function

The interest accrued on savings is given to be

After combining the two functions, we have a new function

The above function implies that the total amount of interest received by Victoria will be evaluated as the product of the amount saved (200) and the interest rate (1.05) raised to the power of the time or duration of saving (x) minus 1.

The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer:

does it give you multiple choice questions??

Answer:

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

h(17) is falling under the top condition of:

So the answer is: