A building is 2 ft from a 7 - ft fence that surrounds the property . A worker wants to wash a window in the building 11 ft from the ground . He plans to place a ladder over the fence so it rests against the building . (See the figure .) He decides he should place the ladder 7 ft from the fence for stability . To the nearest tenth of a foot , how long a ladder will he need ?

The width of rectangle is 9 units.

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = l = w - 6

Area of rectangle = A = 27 units

[tex]Area\ of\ rectangle=\l*w\\27=(w-6)(w)\\27=w^2-6w\\0=w^2-6w-27\\w^2-6w-27=0\\w^2+3w-9w-27=0\\w(w+3)-9(w+3)=0\\(w+3)(w-9)=0\\[/tex]

Either,

w+3=0     =>w= -3

Or,

w-9=0      =>w=9

As width cannot be negative, therefore,

Width = 9 units

The width of rectangle is 9 units.

Keywords: rectangle, area

Learn more about rectangles at:

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Answer:

75%

Step-by-step explanation:

57 / (57+19) = 0.75

Final answer:

About 75% of the teachers in the meeting were first-year teachers, as calculated by dividing the number of first-year teachers by the total number of teachers and then multiplying by 100.

Explanation:

To determine what percentage of the teachers in the meeting were first-year teachers, we use the formula 'part over total, times one hundred, equals percent'. In this scenario, the 'part' is the number of first-year teachers which is 57, and the 'total' is the sum of first-year and experienced teachers, which is 57 + 19 = 76. The calculation then becomes 57/76 times 100, to find that percentage.

Carrying out the calculation:
(57 / 76) times 100 = 0.75 times 100 = 75%

Therefore, approximately 75% of the teachers at the meeting were first-year teachers.

Answer:

0.4

Step-by-step explanation:

The mean difference between the call will be 0.4. Then the correct option is C.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

Your company takes orders over the phone. The company’s average time is 4.6 minutes. The graph below shows 4 calls and the difference between the call time and the company’s average call time.

Then the mean difference between the call will be

Mean = (Sum of the observation) / (Number of the observation)

Mean = (-2.32 - 1.55 + 4.79 + 0.68) / 4

Mean = 1.6 / 4

Mean = 0.4

The mean difference between the call will be 0.4. Then the correct option is C.

Your question was incomplete, but the complete question is attached below.

More about the mean link is given below.

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Answer:

45

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Trapezoid

Step-by-step explanation:

Answer:

A=32

Step-by-step explanation:

Answer:

1b  2d   3c   4d    5a  

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

Change 0.3 and 0.24 into whole numbers. So this would be 30 and 24. You do 30/24 and simplify it to 5/4 (because you divide 6; both numerator and denominator) which gives you 1.25.

Final answer:

Detailed explanation on dividing 0.3 by 0.24 using long division.

Explanation:

Dividing 0.3 by 0.24 using long division:

First, insert a decimal point after 0.3 to make it 0.30.

Then, perform long division: 0.30 ÷ 0.24 = 1 remainder 0.06.

Bring down another zero to continue dividing: 0.06 ÷ 0.24 = 0.25.

Step-by-step explanation:

radius =diameter÷2

r=5.7÷2=2.85

let pi=x (since there is no symbol for pi on the phone )

Circumference =2xr

Circumference =2x×2.85=5.7x (5.7pi)

The  circumference of the circle whose diameter is 5.7 cm is 5.7π cm.

The circumference is the distance around the boundary of a closed curve or geometric figure.

In the context of a circle, the circumference is the length of the boundary that encloses the circular shape.

It is calculated using the formula:

Circumference = 2 π r = 2d

Given: diameter of the circle is 5.7 cm

Substitute d= 5.7 cm into the formula:

C = π * 5.7 cm

Thus, the circumference is 5.7π cm.

Learn more about circumference of circle here:

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Answer:

105

Step-by-step explanation:

Theorem:

If parallel lines are cut by a transversal, then same-side interior angles are supplementary.

Lines AB and CD are parallel, and angles 3 and 6 are same-side interior angles, so by the theorem above, angles 3 and 6 are supplementary. That means that the sum of their measures is 180 deg.

m<3 + m<6 = 180

m<3 + 75 = 180

Subtract 75 from both sides.

m<3 = 105

Answer: 105 degrees

Answer:

A. It would be needed 20 packets to transmit 30,000 bytes of information and B. 45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.

Step-by-step explanation:

1. Let's review the information provided to us for solving the question:

Size of each packet of information = 1,500 bytes

Number of packets = P

Number of bytes of information = B

2. Let's answer the questions:

A. How many packets would be needed to transmit 30,000 bytes of information?

P = 30,000 ÷ 1,500

P = 20

It would be needed 20 packets to transmit 30,000 bytes of information

B. How much information could be transmitted in 30,000 packets?

B = 30,000 * 1,500

B = 45'000,000

45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.

Note: Same answer provided to question 14037480, answered by me.

Answer:

yes

Step-by-step explanation:

Note that a [tex]\frac{-}{-}[/tex] results in a +, thus

[tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]

Ắner:-2:-1=2

-5:-1=5

-2/-5=2/5

Step-by-step explanation:

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is [tex]y=\frac{-2 x}{3}+\frac{-2}{3}[/tex]

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

[tex]\begin{array}{l}{2 x+3 y=-8} \\\\ {=>y=\frac{-2 x-8}{3}} \\\\ {\Rightarrow y=-\frac{2}{3} x-\frac{8}{3}}\end{array}[/tex]

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

[tex]\text {for line } 2 x+3 y=-8, \text { slope } m=-\frac{2}{3}[/tex]

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also [tex]m=-\frac{2}{3}[/tex]

Equation of line passing through [tex](x_1 , y_1)[/tex] and having slope of m is given by

[tex]\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)[/tex]

[tex]\text { In our case } x_{1}=2 \text { and } y_{1}=-2[/tex]

Substituting the values in equation of line we get

[tex](y-(-2))=-\frac{2}{3}(x-2)[/tex]

[tex]\begin{array}{l}{\Rightarrow y+2=\frac{-2 x+4}{3}} \\\\ {=>3(y+2)=-2 x+4} \\\\ {=>3 y+6=-2 x+4} \\\\ {3 y=-2 x-2}\end{array}[/tex]

[tex]y=\frac{-2 x}{3}+\frac{-2}{3}[/tex]

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as [tex]y=\frac{-2 x}{3}+\frac{-2}{3}[/tex]

Final answer:

The two numbers are 40 and 13.

Explanation:

We are given that the sum of two numbers is 53, and their difference is 27. Let's denote the two unknown numbers as x and y, where x is the larger number.

The system of equations based on the given information is:

By adding the two equations, the y's cancel out:

Now, we can find the value of y by substituting x into the first equation:

The two numbers are 40 and 13.

Answer:

The slope of line that contain the points ( - 0.5 , 4 ) and has y- intercept of - 5 is -18

Step-by-step explanation:

Given as :

The points that satisfy the line is ( - 0.5 , 4 )

The y - intercept = - 5

The equation of line is

y = m x + c

Where m is the slope of line

∵ For y- intercept , c = - 5

Now, points on the line is ( - 0.5 , 4 ) and y  intercept c = - 5 is

y = m x + c

or,  4 = m × ( - 0. 5 ) + ( - 5 )

Or, 4 = - 0. 5 m - 5

or, 4 + 5 = - 0.5 m

Or, 9 = - 0. 5 m

∴ m = [tex]\frac{-9}{0.5}[/tex]

So, Slope = m = - 18

Hence the slope of line that contain the points ( - 0.5 , 4 ) and has y- intercept of - 5 is -18   Answer

Final answer:

The slope of a line that contains the point (-0.5, 4) and has a y-intercept of -5 is -18. This is calculated using the slope formula, resulting in a negative slope.

Explanation:

To find the slope of a line with a given point and a y-intercept, we can use the slope formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) is the given point and (x2, y2) is the y-intercept point. Since the y-intercept is at a point where x = 0, the second point is (0, -5).

The given point is (-0.5, 4), so after substituting into the slope formula we get: slope = (-5 - 4) / (0 - (-0.5)) = (-9) / (0.5) = -18. The slope of the line is -18, indicating a negative slope meaning the line will move downwards on the graph as the x-value increases.

Answer:

150

Step-by-step explanation:

60 x 1/4 = 150

Answer:

15

Step-by-step explanation:

" 60 times one fourth" can be written as 60/4, which in turn is 15.

Answer:

The answer is 4.8

Step-by-step explanation:

The answer is 4.8 because 1.5h is half of 3 hours so if he walks 3.0m (which is double the first amount he walked) the answer will double.

so 2.4+2.4 = 4.8

or 2.4x2 = 4.8

And there u go!

Answer:

1. x=160 (here given as ques no. 5)

2. x=81 (here given as ques no.5)

4.  No (here given as ques no. 8)

Step-by-step explanation:

1. Given ∠STR=∠SRT=20°

   we know ∠STR+∠STU=180

                 x+20=180

                  x=160

2.  By external angle property

         x+24=105

           x=81

3. By Angle Sum Property

∠ 1=∠2=∠3=∠4=90

and

∠5=∠6=∠7=∠8=90

Hence all angles are equal to 90

and we know only parallel lines have

∠4=∠5

∠3=∠6

hence line 'r' and line 't' are parallel.

4. For being parallel side pieces must not form a triangle(i.e. sum two interior angle must be equal to 180)

But here sum of interior angle 174

Hence a triangle is possible.

So , lines are not possible .

Answer:

300

Step-by-step explanation:

Let x be the initial number. Initially, this number was 100%.

After an increase of 40%, it became 420 and 100% + 40% = 140% in percent.

So,

x - 100%

420 - 140%

Write a proportion:

[tex]\dfrac{x}{420}=\dfrac{100\%}{140\%}[/tex]

Cross multiply:

[tex]140\cdot x=420\cdot 100\\ \\140x=42,000\\ \\14x=4,200\\ \\x=\dfrac{4,200}{14}=\dfrac{600}{2}=300[/tex]

Answer:

Just going to create this answer so the other person can get brainliest.

Step-by-step explanation:

:) :D <3

Answer: not a right triangle

Step-by-step explanation:

if it is a right triangle the pyth. theorem must stand

12^2+12^2 does not equal 15^2

so it is not a right triangle

Step-by-step explanation:

[tex]\dfrac{-3}{(x+2)(x-5)}\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=\dfrac{-3}{(x)(x)+(x)(-5)+(2)(x)+(2)(-5)}\\\\=\dfrac{-3}{x^2-5x+2x-10}\qquad\text{combine like terms}\\\\=\dfrac{-3}{x^2-3x-10}[/tex]

[tex]\dfrac{64x-8x^2}{10x-80}=\dfrac{-8x(x-8)}{10(x-8)}\qquad\text{cancel}\ (x-18)\\\\=\dfrac{-8x}{10}=-\dfrac{8x:2}{10:2}=-\dfrac{4}{5}x[/tex]

Answer:

Step-by-step explanation:

2x - y = 5         subtract 2x from both sides

2x - 2x - y = -2x + 5

-y = -2x + 5          change the signs

y = 2x - 5

Answer:

n and (n - 1) are consecutive integers.

Step-by-step explanation:

We are given 'n', a positive integer.

This 'n' can either be odd or even.

Case I:

When 'n' is odd

The n - 1 is even.

Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.

Case II:

when 'n' is even

Then n - 1 is odd.

Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.

Answer:

431,646

Step-by-step explanation:

[tex]\frac{7.9}{100} = \frac{34,100}{x} \\[/tex]

Simply multiply 100x34,100 (3,410,000) and divide by 7.9 to get your answer= 431,645.57. Round to the nearest whole number and you get your finl outcome which is 431,646.

Answer:

Step-by-step explanation: Let the no. of copies sold to date be y

A.T.Q

7.9/100 * y = 34100

y = 34100*100/7.9

  =  3410000/7.9

  = 431645.56

Rounding it off to nearest no. it will be

Total 431646 copies have been sold to date.

Hope this helps u :)

Answer:

Step-by-step explanation:

25.

Combine like terms.

4t+7=-33

subtract 7 from both sides

4t=-40

divide both sides by 4

t=-10

26.

Subtract 2a from both sides

5=7a-16

add 16 to both sides

21=7a

divideby 7 on both sides

a = 3

I'd suggest getting the app photomath or using cymath to help you with these problems. they give you the answer and how to get it step by step

Answer:

177.87

Explanation:

162.75 * 100  = 177.87

     91.5

177.87 * 0.915 = 162.75

Answer:

177.87 is the correct answer. Really hope that this helped :)

Step-by-step explanation:

Answer:

NO

 To purchase 10 used video games and 3 new video games you need $166.With $150 is not enough

Step-by-step explanation:

7(10) + 32(3)    =

70+96= 166

You can purchase 12 used and 2 new And you will have $2 left

7(12) +2(32) = 148

84+62=148

You cannot purchase 10 used video games and 3 new video games because their total cost of $166 exceeds your budget of $150.

Given inequality: 7x + 32y = 150

Substitute x = 10 and y = 3 into the inequality:

=7(10) + 32(3)

=70 + 96 = 166

Compare with the budget:

166 > 150

Hence, 7(10) + 32(3) = 166

Thus, 66 > 150

Answer:

2 baskets

Step-by-step explanation:

so basically find LCM(least common multiple) of 88, 60 and 54. prime factor 88 to get 2^3, and 11, 60 for 2^2, 3, 5 and 54 for 3^3, 2. we then find the numbers that are in all of them which is only two, once