When I stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°. Approximately how tall is my home?

The net profit on the Income Statement based on the balance sheet given will be 21.

The net profit will be calculated thus:

Revenue = 170

Less coat of sales = 103

Less salaries= 30

Operating income = 30

Less interest = 12

Income before tax = 25

Less Income tax = (10% × 37) = 3.7

Net profit = 21.3 = 21

Therefore, the net profit on the Income Statement based on the balance sheet given will be 21.

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Answer: The function h because the graphs of f and h are symmetrical about the line y=x.

Answer:

this cannot be factored since nothing shares factorable groups/values

Step-by-step explanation:

hope this helps:)

The solution from the system of inequalities is (a). Part of the solution region includes a negative width; therefore, not all solutions are viable for the given situation.

Let P represent the perimeter.

So, we have:

The perimeter is calculated using:

P = 2(x + y)

So, we have:

2(x + y) ≤ 28

y ≥ (x - 2)²

Next, we plot the system of inequalities (see attachment)

From the attached graph, we have some negative x values in the shaded region.

This means that not all solutions are viable

Hence, the true statement is (a)

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Answer:

It might be 235.62

Step-by-step explanation:

Answer:

[tex]235.6\ cm^3[/tex]

Step-by-step explanation:

Volume of a cone: [tex]\frac{1}{3} \pi r^2 h[/tex]

[tex]\frac{1}{3} \pi r^2 h\\r = 5\\h = 9\\\frac{1}{3} \pi (5)^2(9)\\\frac{1}{3} \times \pi \times 25 \times 9\\= 75 \pi\\= 235.619449...\\= 235.6\ \text{(1 d.p.)}\ cm^3[/tex]

In a directly proportional relationship, increasing one variable will increase another. The weight of the roof whose depth is 1.75 inches is 6,300 pounds.

In a directly proportional relationship, increasing one variable will increase another. This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.

Let there are two variables p and q. Then, p and q are said to be directly proportional to each other if p = kq, where k is some constant number called the constant of proportionality.

Given the hail's weight varies directly with its depth. Therefore, the relation can be written as,

Weight ∝ Depth

W∝D

Introducing the constant to remove the proportionality we will get the equation as,

W = kD

1800pounds = k × 0.5 inches

3600ponds/inches = k

Now, the weight of the roof whose depth is 1.75 inches can be written as,

W = kD

W = 3600 × 1.75

W = 6,300 pounds

Hence, the weight of the roof whose depth is 1.75 inches is 6,300 pounds.

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According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.

To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:

144 ÷ 100 = 1.44

64 ÷ 1.44 = 44.44%

According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.

To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.

356 ÷ 100 = 3.56

315 ÷ 3.56 = 88.48%

According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.

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The next term of the given sequence using first and second differences is; 104

We are given the sequence as;

8, 11, 19, 35, 62,.....

Thus, using the first and second differences, we have the sequence pattern as;

8          11            19           35               62         104

    3            8            16            27               42

            5           8             11             15

                   3            3             4

From the above pattern, we can see that the next term of the sequence is 104

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Answer:

3:2

Step-by-step explanation:

Answer:

They are consistent and independent

Step-by-step explanation:

Consistency

If two lines have an intersection point, they are said to be consistent. For example, two parallel lines do not have an intersection and therefore they are inconsistent.

In the problem, the two lines intersect at (1, -2) so they have a unique solution and therefore consistent.

Dependency

Two lines are said to be independent if one of them cannot be written as an integer multiple of the other. Or, in other words, if the slope-intercept form of both equations have different slope and y intercept

Note: slope-intercept form of an equation is y = mx + c where m is the slope and c the y intercept

Line 1: 5x - y = 7 can be written as y = 5x - 7 which has slope +5 and y intercept -7

Line2 : 5x + 6y = -7 can be re-written as y = (-5/6)x - (7/6). This has slope -5/6 and y intercept -7/6

Since slope and intercepts of both lines are different they form a system of independent equations

Answer:

1728

Step-by-step explanation:

When there is 3 places you have to sqaure 12 by 3
12^2= 144
144*12= 1728
Hope this helps.

The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30

The distribution of the books is:

Spanish, English, Chemistry, Geometry, History, and Psychology

The probability of choosing a Geometry book is:

P(G) = 1/6

Now, there are 5 books left.

The probability of choosing a Chemistry book is:

P(C) = 1/5

The required probability is:

P = 1/6 * 1/5

Evaluate

P = 1/30

Hence, the probability is 1/30

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Answer:

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{47}{6}m[/tex] to  [tex]\frac{47m}{6}[/tex]

[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]

2) Simplify [tex]\frac{7}{2}m[/tex]  to [tex]\frac{7m}{2}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]

3) Simplify  [tex]\frac{6}{5}n[/tex]  to[tex]\frac{6n}{5}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]

4) Collect like terms.

[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]

5) Simplify.

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

               Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

❖ If lines are parallel to each other, they have the same slope.

So the slope of the line parallel to y-5=6x-10 is 6.

Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 10 for y₁, 6 for m and 4 for x₁:-

[tex]\sf{y-10=6(x-4)}[/tex]

On simplification,

[tex]\sf{y-10=6x-24}[/tex]

Adding 10 to both sides results in:-

[tex]\sf{y=6x-14}[/tex]

So we conclude that Option A is correct.

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Answer:

Answer below :)

Step-by-step explanation:

128 = $76.20132= $77.80134= $78.60144= $82.60

Answer: 128 = $76.20132= $77.80134= $78.60144= $82.60

Answer:

26^3 ft is what i got.

5ft x 5ft x 2ft = 50ft

3ft x 4ft x 2ft = 24ft

50ft - 24ft = 26ft

Answer:

36 ft³

Step-by-step explanation:

Formula of a rectangular prism :

Volume = Length x Width x Height

Volume of the bin :

Answer:

I believe it would be 15, apologies if its incorrect.

Step-by-step explanation:

Answer:

Area = 210

Step-by-step explanation:

Given:

To find:

Steps:

A = b · h

= 15 · 14

= 210

Answer:

210 yd²

Step-by-step explanation:

Area of a parallelogram :

Solving using the given values :

Answer:

The temperature would fall by 16.25°

Step-by-step explanation:

If it's 3.25 every hour and there are 5 hours total just multiply. 3.25 x 5 = 16.25.

Answer:

3 cm

Step-by-step explanation:

Formula :

Given :

Solving :

Answer:

  (x, y) = (40, 30)

Step-by-step explanation:

A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.

__

An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:

  y = 110 -2x . . . . . . subtract 2x from both sides

Using this in the first equation gives ...

  3x -4(110 -2x) = 0 . . . . substitute for y

  11x = 440 . . . . . . . . . simplify, add 440

  x = 40 . . . . . . . . . . divide by 11

  y = 110 -2(40) = 30

The solution is (x, y) = (40, 30).

Answer:

Step-by-step explanation:

The formula to calculate the area of a circle is

[tex]A =\pi r^2[/tex]

This means that if [tex]r = 5 "cm"[/tex], the area is

[tex]A = 5^2\pi " cm"^2 = 25 \pi " cm"^2 =(estimation) 78.539816 " cm"^2[/tex]

Answer:

See below

Step-by-step explanation:

We are given that a circle has a radius of 5 cm

We want to find the area of this circle

The area of a circle is given as [tex]\pi r^{2}[/tex], where r is the radius

As stated above, the radius of this circle is 5; ergo, r =5

We can substitute 5 as r in the formula

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi (5)^{2}[/tex]

Raise 5 to the 2nd power

A = π * 25

A = 25π cm²

If you need your answer in terms of pi (or as an exact answer), the answer would be 25π cm² (don't forget your units!)

However, if your system wants pi approximated, see below:

If your system wants pi to be used as 3.14, then multiply 25 by 3.14; 25 * 3.14 = 78.5 cm²

If your system wants pi to be used as 22/7, then multiply 25 by 22/7; 25 * 22/7 ≈ 78.57 cm²

Answer:

2.7$

Step-by-step explanation:

£10

Step-by-step explanation:

firstly what you have to do is

since the percentage is decreased

we will say 100 - 25% = 75%

then we say 7.50/75% = 10

So we know that the original price was

£10 pounds

As 10- 25%= 7.5

The shirt's regular price is 10.

Given,

A shirt on sale for 25%off.

Sandy paid 7.50 for the shirt.

We need to find the regular price.

The regular price is the same as the selling price.

We have,

Regular price = Paid price  + offer discount%

offer discount = 25%

Paid price = 7.50

If after 25% off Sandy paid 7.50 which means Sandy paid only 75% of the price.

The regular price is always 100%

= Paid price  + offer discount%

= 75% + 25%

So we have,

75% = 7.5

Multiplying 25/75 on both sides.

25/75 x 75% = 7.5 x 25/75

25% = 2.5

We see that the offer discount is 2.5.

We have,

Regular price = Paid price  + offer discount%

                       = 7.50 + 2.5

                       = 10

Thus the shirt's regular price is 10.

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The number of the adult leaders will be 4

A Number of cub scouts in troop 584 is = 25 .As per the statement given in the question "The number of scouts is 5 more than five times the number of adult leaders"

Number of scouts = 5(Number of adults) + 5

Here number of scouts = 25

Therefore, the equation will become as

25 = 5(Number of adults) + 5

5(Number of adults) = 25 - 5

5(Number of adults) = 20

(Number of adults) = 20/5=4

Hence the number of the adult leaders will be 4

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Answer:

Step-by-step explanation:

We can see that

The angle formed by intersecting chords measures the half the sum of intercepted arcs.

Answer:

106

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

7w^2-18w/w^2-5w+6

The simplest form of the expression is 7w/w^2+6, the correct option is A.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

4w/w-2 + 3w/w-3

Now,

we can multiply the numerator and denominator by the missing factor. For example

w−24w​=(w−2)(w−3)4w(w−3)​

w−33w​=(w−2)(w−3)3w(w−2)​

Add the fractions with the LCD as the common denominator. To do this, we can add the numerators and keep the denominator. For example:

w−24w​+w−33w​=(w−2)(w−3)4w(w−3)+3w(w−2)​

Simplify the numerator by distributing and combining like terms. For example:

(w−2)(w−3)4w(w−3)+3w(w−2)​=(w−2)(w−3)4w2−12w+3w2−6w​

(w−2)(w−3)4w2−12w+3w2−6w​=(w−2)(w−3)7w2−18w​

=7w/w^2+6

Therefore, by the given expression the answer will be 7w/w^2+6.

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Answer:

42 sq ft.

Step-by-step explanation:

[tex]A=w *l[/tex]

[tex]A=14 *3=42[/tex]

=42 sq ft

(note: i dont think it matters how you put the numbers, they still mulitply up to 42)

Hope this helped

~rere