Hakeem leans a 26-foot ladder against a wall so that it forms an angle of 72^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest hundredth of a foot if necessary.

Answer:

a. 1.91

Step-by-step explanation:

because I think I'm lucky today

The claim that a line's reflection is actually two parallel lines is false. correct answer is option (A).

A line is reflected by another line, which is the original line's mirror image. Each point on the original line is reflected across a line of reflection, which is often perpendicular to the original line, to create the mirror image. The resulting line is consistent with the original line while being oriented in the other direction.

The statement that a line can be translated into another line with the same length and that it is parallel to the original line is true.

The statement that a line rotates into another line that is the same length and shape as the original line but is orientated at a different angle is also correct.

The rotation of a pair of parallel lines is also valid for a second pair of parallel lines that have the same distance between them but are orientated at a different angle from the initial pair.

To know more about reflection, visit:

https://brainly.com/question/31337495

#SPJ1

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Answer:

x=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Desmos Graphing Calculator

Answer:

-288

Step-by-step explanation:

have a great day and thx for your inquiry :)

From the given equation the values of x is - 20 and y is 8, in the scalar multiplication.

The dot product of two vectors is defined as the product of the magnitudes of the two vectors and the cosine of the angle between them. Note that scalar products are also called dot products or dot products, and dot multiplication is always denoted by a dot.

Given expression:

\(\frac{-1}{4}[x 12 -32] = [5 -3 y]\)

Using scalar product we get,

\([\frac{-x}{4} -3 8] = [5 -3 y]\)

On comparing both sides we get,

\(\frac{-x}{4} = 5\)

⇒ x = -5 × 4

⇒ x = -20y = 8

Therefore, x = - 20 and y = 8

To learn more about scalar product from the given link.https://brainly.com/question/13516866

#SPJ1

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

For more such questions on GCF

https://brainly.com/question/902408

#SPJ8

Step-by-step explanation:

this is the answer .it is right or not

The set containing all the colors of the marbles is given as follows:

{blue, yellow, purple, green, pink}.

A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.

In this problem, we need to find the colors present in each marble, which are given as follows:

Then we have to list all these colors in a set, which are opened and closed by the brackets {}.

The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.

Thus, the set containing all the colors of the marbles is given by the set presented as follows:

{blue, yellow, purple, green, pink}.

More can be learned about sets of elements at https://brainly.com/question/24700823

#SPJ1

Answer:  \((x, y) \to (x+ 8, y-6)\)

=======================================================

Explanation:

Point Q has x coordinate -9

Point Q' has x coordinate -1

The horizontal movement from Q to Q' is "shift 8 units to the right". So we have x update to x+8

At the same time, we're shifting 6 units down since we go from y = 5 to y = -1. So we'll subtract 6 from the y coordinates.

The translation rule is therefore \((x, y) \to (x+ 8, y-6)\) to shift 8 units right and 6 units down.

----------------------

Let's apply this rule to point R to see it in action.

\((x, y) \to (x+ 8, y-6)\\\\(-6, 3) \to (-6+ 8, 3-6)\\\\(-6, 3) \to (2, -3)\)

We have R(-6, 3) arrive at R ' (2, -3) which is what the graph shows. This confirms the translation rule works for point R.

I'll let you confirm this rule with points P and Q.

Scale factor = DE / AB

=3/ 6

= 1/2

Scale factor is 1/2 or 0.5

We want to write and solve an equation that represents the given situation. The equation we will find is (9/10)*a = 45, and its solution is a = 50.

So we know that 9/10 of the apples in the basket are red, and we know that there are 45 red apples.

Then, if we define a as the total number of apples, we know that (9/10) times a must be equal to 45, we can write this as:

(9/10)*a = 45

This is the equation that we must solve.

We can solve this if we multiply both sides by (10/9), it gives;

(10/9)*(9/10)*a = (10/9)*45

a = (10/9)*45 = 50

This means that there are 50 apples in the basket.

If you want to learn more, you can read:

https://brainly.com/question/18176080

A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

For such more question on equation:

https://brainly.com/question/17145398

#SPJ8

Answer:Hello!-47 s the answer :)

Step-by-step explanation:

Answer:

≈ 404.6666667

Step-by-step explanation:

70 - 8 ÷ 6 + 8 x 42

70 - 1.33333333 + 8 x 42

70 - 1.33333333 + 336

68.6666667 + 336

404.6666667

Answer:

C

Step-by-step explanation:

Follow the order in the question

x-6

then is divided by 2 so put it all over 2

Answer:

4

Step-by-step explanation:

hrhdhdjdjdjejehrhvhchhc

Answer:

Step-by-step explanation:

I think 4 AHH its hard UwU

Using trigonometric function the length to the nearest foot of the shortest ladder that will safely reach a roof that is 23 feet high is calculated as 25 feet.

What are trigonometric functions?

Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trigonometric functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the angle a ladder makes with the ground should be no greater than 67°.

So the angle θ ≤ 67°.

Let us assume the angle to be equal to 67°

The height of the roof from the ground is 23 feet.

The ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular.

With the sine function, find the length of the ladder -

sin θ = perpendicular/hypotenuse

Let the length of ladder be x.

sin 67° = 23/x

x = 23/sin 67°

x = 23/0.920

x = 25 feet

Therefore, the length of the ladder is 25 feet.

To learn more about trigonometric functions from the given link

https://brainly.com/question/1143565

#SPJ1

Answer:

x=42

Step-by-step explanation:

step 1: multiply 3 to both sides of the equation to isolate x

then you get x=14x3=42

x=42

Answer:

X=42

Step-by-step explanation:

14 * 3= 42

14 = x/3

14= 42/3

divide

14=14

Answer:

f x d = d x f

The commutative property of multiplication is just the numbers switched around, but it doesn't change the product. It has to in multiplication.

Answer: f x d = d x f

Step-by-step explanation: The commutative property of multiplication states that numbers in an can be switched around to get the same answer.

ex : f x d = d x f

      2 x 4 = 4 x 2

          8   =   8

Answer:

5/8 is greater

Step-by-step explanation:

you can divide 8 into 5 to get the decimal equivalent of 5/8, which is 0.625

you can divide 5 into 3 to get the decimal equivalent of 3/5, which is 0.600

so 5/8 is greater

or . . .

you can create equivalent fractions using a common denominator and then compare numerators

\(\frac{5}{8}\) = \(\frac{25}{40}\)

\(\frac{3}{5}\) = \(\frac{24}{40}\)

this proves, again, that 5/8 is greater but only by \(\frac{1}{40}\)

Answer:

Given fractions are 5/8 and 3/5

LCM of 8 and 5=40

Now, making the denominator the same of both fractions

5/8=5 x 5/8 x 5=25/40

3/5=3 x 8/5 x 8=24/40

Since, 25/40>24/40

Hence, 5/8 > 3/8

Step-by-step explanation:

Answer: (-4,-2), (-2, 1), (1,4), (4,4)

Step-by-step explanation: all you have to do is start with x then go to y and repeat

By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.

We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.

We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.

Remember the relation:

1 gallon  = 8 pints.

So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:

5*8 pint jars = 40 pint jars.

Learn more about changes of units:

https://brainly.com/question/1106482

#SPJ1

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

90!

Step-by-step explanation:

even, ends in zero, and 9 times ten! :)

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

Learn about algebraic expressions at: https://brainly.com/question/4541471

#SPJ1

The x variable represents the year in question. The year 2000 is represented by x = 0, 2001 would be repreented by x = 1, and so on.

The year in which both states would have the same population can be determined by the value of x which satisfies both equations.

We would now solve these system of equations as follows;

Note that x = 19 represents the year 2019

ANSWER:

The two states will have the same population in the year 2019

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

For similar questions on polynomial

https://brainly.com/question/12702996

#SPJ8