Question 64
Find area of figure. Round to the nearest hundredth if necessary
Triangle rectangle and circle
34 cm
120 cm
49 cm
(Use 3.1 4 for .)
TT TT Paragraph Arial
3 (12pt)
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Τ' Τ,
HTML CSS
O fx Mashups

Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:

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Answer:

47*

Step-by-step explanation:

Each corner of the square is 90*

angle CBE + angle ABE = 90*

fill in the blanks

43 + x = 90

subtract 43 from both sides

x = 47*

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

Answer:

4x - 4

Step-by-step explanation:

Add up all common numbers and then subtract from the total amount.

Hope it helps :))

Answer:

A

Step-by-step explanation:

The slope is 1 and you know it’s positive because it goes to the top right.

the y intercept is where the line goes through the y axis. So it’s 3. And the cordinate is (0,3) because (x,y).

Answer:

The answer is A

Step-by-step explanation:

The given monomials are:

Factorizing each term, we get,

Therefore, the GCF is,

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer:

Well 30 minutes as seconds is 1800 already so it would be 10,800 seconds

Step-by-step explanation:

i hope this helps you

Answer:

Since there are no common prime factors,

the only common factor for  11 a^ 3 b ^5  is  1 .

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

If 74% is paid by Hilton, then Sierra pays 26% of $8245 per year. Her annual share is ...

  0.26 × $8245 = $2143.70 . . . Sierra's share

__

Then the deduction in each of her 24 pay periods is ...

  $2143.70/24 = $89.32 . . . per pay period

Answer:

5x+15+2x=24+4x

Step-by-step explanation:

I hope this helps

The population grow by 24.7% between the years 2004 and 2009

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

Population in 2004 = 2122

Population in 2009 = 2647

The growth of the population between the years is calculated as

Percentage = Population in 2009/Population in 2004  - 1

Substitute the known values in the above equation, so, we have the following representation

Percentage = 2647/2122 - 1

Evaluate

Percentage = 24.7%

Hence, the population grow between the years by 24.7%

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The combinations of side lengths that would not form a triangle with vertices X, Y, and Z is A. XY = 15 mm, YZ = 10 mm, and XZ = 28 mm.

We shall us the triangle inequality theory for this problem.

According to this theory, the addition of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore, for the sides XY, YZ, and XZ to form a triangle, we must have:

XY + YZ > XZ

YZ + XZ > XY

XZ + XY > YZ

We can check each option to see if it satisfies these conditions:

A. XY = 15 mm, YZ = 10 mm, XZ = 28 mm

15 + 10 > 28 (not satisfied)

10 + 28 > 15 (satisfied)

28 + 15 > 10 (satisfied)

Option A does not satisfy the condition XY + YZ > XZ, so it would not form a triangle.

B. XY = 18 mm, YZ = 10 mm, XZ = 25 mm

18 + 10 > 25 (satisfied)

10 + 25 > 18 (satisfied)

25 + 18 > 10 (satisfied)

Option B satisfies all the conditions, so it would form a triangle.

C. XY = 18 mm, YZ = 13 mm, XZ = 22 mm

18 + 13 > 22 (satisfied)

13 + 22 > 18 (satisfied)

22 + 18 > 13 (satisfied)

Option C satisfies all the conditions, so it would form a triangle.

D. XY = 15 mm, YZ = 10 mm, XZ = 22 mm

15 + 10 > 22 (satisfied)

10 + 22 > 15 (satisfied)

22 + 15 > 10 (satisfied)

Option D satisfies all the conditions, so it can form a triangle.

Therefore, the combinations that would not form a triangle is A, where XY = 15 mm, YZ = 10 mm, and XZ = 28 mm.

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Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

E, F

Step-by-step explanation:

diagram is showing complete shading of 3 shapes and 4 out of 10 of the last shape

3 4/10 as a decimal is 3.4

So burger king offers 10 chicken nuggets for $1.49

   1 chicken nugget = price for 10 chicken nugget / 10 chicken nugget

                         = $1.49 / 10 = $0.15 per nugget (approximated)

Hope that helps!

the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.

The square root of 25 can be expressed simply as 5:

x = (1 ± 5) / 4

This provides us with two potential answers:

x = (1 + 5) / 4 = 1.5

or

x = (1 - 5) / 4 = -0.5

The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;

Mean is equal to the product of the given data and the total amount of data.

from the question:

The following formula can be used to find x using geometric mean:

\(x = \sqrt{(ab)}\)

where a and b are the two numbers whose geometric means we're interested in finding.

The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:

\(x = \sqrt{(1.5 (-0.5)}\)

\(x = \sqrt{(-0.75)}\)

As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.

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Here, lots of questions are asking.

The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.

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Answer:

It has higher PE which can be converted into kinetic energy. The car also has had more work done on it when its at a higher position.

Step-by-step explanation:

This is because the cart gains speed as it goes from the top of higher point to bottom.

9514 1404 393

Answer:

  (x, y) = (326, 457)

Step-by-step explanation:

Use the first equation to make an expression for y that can be substituted into the second.

  y = 783 -x

  10x +7(783 -x) = 6459

  3x = 978 . . . . . . . . . . . . subtract 7(783) = 5481

  x = 326 . . . . . . . . . . . . . divide by 3

  y = 783 -326 = 457

The solution is (x, y) = (326, 457).

Answer:

30 is not included

Step-by-step explanation:

The way this stem works is that it separates the numbers for better sorting.

Example:

Set that records 11, 12, 24, 28, 32, 32

The stem and leafs would look like

1    1 2

2   4 8

3   2 2

The sampled bold number indicates that 2 and 8 make up 28.

If you look at the plot, there was no 3 and 0 that would make 30. So that does not exist.