A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladder reach? Round the answer to the nearest tenth of a foot. 13.8 ft 23.8 ft 26.3 ft 80.9 ft

Final answer:

To find the area of a window that measures 3 yards by 3/4 yard, multiply the length by the width. The area is 9/4 yd² or 2 1/4 yd², which corresponds to answer C.

Explanation:

The area of a rectangle is calculated by multiplying its length by its width. In this case, the window's dimensions are given in yards, and we need to find the area in square yards. We multiply the length (3 yards) by the width (3/4 yard) to find the area.

Area = length × width
Area = 3 yd × 3/4 yd
Area = 9/4 yd² or 2 1/4 yd²

So the correct answer is C. 2 1/4 yd².

To find a fraction equivalent to 1/3 using the LCD, multiply the numerator and denominator by the same whole number that gives the LCD as the new denominator.

To find a fraction that is equivalent to 1/3 using the LCD (Least Common Denominator), we need to find a fraction with the same value but different numerator and denominator. The LCD of 1/3 is 3, so we can multiply the numerator and denominator by any whole number that gives us 3 as the new denominator. For example, multiplying both the numerator and denominator by 2, we get 2/6, which is equivalent to 1/3.

Final answer:

To find an equivalent fraction to 1/3 using the LCD, the fraction itself is already equivalent to 1/3.

Explanation:

To find a fraction equivalent to 1/3 using the least common denominator (LCD), we need to identify the LCD of 1/3. The LCD is the least common multiple of the denominators of the given fractions. In this case, the LCD is 3. Now, we need to express 1/3 with a denominator of 3. To do this, we multiply both the numerator and denominator by 1, resulting in 1/3 × 1/1 = 1/3. Therefore, 1/3 is already equivalent to 1/3.

The coordinates are (5,4) and (9,3)

Remember that the x axis comes before the y axis when plotting down the points. I made this simple mistake with these coordinates reversed and got it wrong with putting the y axis before the x axis.

The graph of the equation of line y = - 14x + 74 is shown in figure.

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line is,

y - 4 = - 14 (x - 5)

Now,

The simplify the equation of line as;

y - 4 = - 14 (x - 5)

y - 4 = - 14x + 70

Add 4 on both side, we get;

y - 4 + 4 = - 14x + 70 + 4

y = - 14x + 74

Thus, By comparing the slope form of the equation of line y = mx + b we get;

The slope of the line m = - 14

And, The y - intercept = 74

So, The graph of the equation of line y = - 14x + 74 is shown in figure.

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Solution: The correct option is option first, i.e., [tex]-2.1\cdot 1=-2.1[/tex] by the Identity Property of Multiplication.

Explanation:

The correct option is first option : Identity Property of Multiplication.

Reason for correct option:

According to the identity property of multiplication, the product of a number and the identity element is equal to that number. The identity element for multiplication is 1.

Let x be any real number, then by identity property of multiplication [tex]x\cdot1=x[/tex].

Therefore, [tex]-2.1\cdot 1=-2.1[/tex] by the Identity Property of Multiplication.

Reason for incorrect option:

According to the inverse property of multiplication, the product of number and inverse is equal to 1. In the given equation the result is not 1.

In the given equation the number is multiplied by 1  instead of -1. So, multiplication property of -1 is not the correct answer.

In the given equation multiplication property is used and there is no need of any addition property.

Hence, only first option is correct and [tex]-2.1\cdot 1=-2.1[/tex] by the Identity Property of Multiplication.

They would always be coplanar.

Hope this helps!

Answer: The correct answer would be B!

Step-by-step explanation:

Answer:

0.6484

Step-by-step explanation:

since the fence will be 3 sides, the length would be length minus 2 widths

 so length = 1200 - 2x

 area = length x width

 width is x

area = (1200-2x)*x

= 1200x -2x^2

 after doing the calculations x = 600 meters, width = 300 meters

The solution of the operations of the fractions are found as below.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

4. [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{2}[/tex]

Make the denominator equal.

1/2 is equal to (1×2) / (2×2) = 2/4

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{2}{4}[/tex] = [tex]\frac{3+2}{4}[/tex] = [tex]\frac{5}{4}[/tex]

5. 2 [tex]\frac{3}{8}[/tex] + 1 [tex]\frac{1}{8}[/tex]

This in the form of mixed fraction.

Convert it into improper fraction first.

2 [tex]\frac{3}{8}[/tex] = (2 × 8 + 3) / 8 = 19/8

1 [tex]\frac{1}{8}[/tex] = (1 × 8 + 1) / 8 = 9/8

2 [tex]\frac{3}{8}[/tex] + 1 [tex]\frac{1}{8}[/tex] = 19/8 + 9/8 = 28/8 = 7/2

6. 5 [tex]\frac{2}{5}[/tex] - 3 [tex]\frac{7}{10}[/tex]

5 [tex]\frac{2}{5}[/tex] = (5 × 5 + 2) / 5 = 27/5

3 [tex]\frac{7}{10}[/tex] = (3 × 10 + 7) / 10 = 37/10

5 [tex]\frac{2}{5}[/tex] - 3 [tex]\frac{7}{10}[/tex] = 27/5 - 37/10

              = 54/10 - 37/10

              = 17/10

7. 5 [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{11}[/tex]

5 [tex]\frac{1}{2}[/tex] = 11/2

5 [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{11}[/tex] = [tex]\frac{11}{2}[/tex] × [tex]\frac{3}{11}[/tex]

            = 3/2

8. [tex]\frac{5}{6}[/tex] ÷ [tex]\frac{1}{3}[/tex]

When dividing two fractions, the second term becomes reciprocal and the operation becomes multiplication.

[tex]\frac{5}{6}[/tex] ÷ [tex]\frac{1}{3}[/tex] =  [tex]\frac{5}{6}[/tex] × [tex]\frac{3}{1}[/tex] = 5/2

Hence the solutions are found.

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Answer:

6w

Step-by-step explanation:

They are basically asking you to multiply 6 and w, which is 6w

The question about the number of people who rode the train to work this morning is a statistical question, requiring data collection and analysis to reveal various statistics such as travel behaviors and the relation between ticket class and travel distance.

The question "How many people rode the train to work this morning?" represents a statistical question because it is likely to result in a variety of different answers and requires the collection and analysis of data to provide an accurate response. Statistical questions are concerned with understanding the distributions, trends, and patterns within collected data. In answering such a question, one would typically construct a table or a tree diagram to organize the data collected.

For example, if we wanted to know the percentage of commuters who travel alone to work, we would need to gather data on various modes of transportation, including trains, and analyze how many commuters use each mode alone. This situation could also relate to how many commuters decided to get on the train at each station on a given morning.