A 30-foot ladder is set against the side of a house so that it reaches up 24 feet. If Elizabeth grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 21 ft.) Round to the nearest tenth of a foot.

Answer:

x = 12

Step-by-step explanation:

10x+24 = 6x+72

10x - 6x = 72 - 24

4x = 48

x = 12

Answer:

144

Step-by-step explanation:

10x+24=6x+72

-6x          -6x

4x+24=72

     -24  -24

4x=48

/4   /4

x=12

<A=10(12)+24

<A=120+24

<A=144

Answer:

1/36

Step-by-step explanation:

Answer:

Z'(9, - 1)

Step-by-step explanation:

For a 90 degree counterclockwise rotation about the origin,

The original coordinates of point P (x,y) will now be positioned as P' (-y,x).

Hence, given :

Triangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9)

The new position of Z denoted as Z' will be :

Z(-1, - 9) ; X = - 1 ; y = - 9

-y = - - 9 = 9

x = - 1 will remain as - 1

Z(-1, - 9) - - - > Z'(9, - 1)

Answer:

The salary of Sydney to meet the loss due to inflation should be 11.85 per hour

Step-by-step explanation:

The inflation rate is 3%

This means that the alary amount will reduce by 3%.

3% of Sydney's hourly salary is

[tex]\frac{3}{100} *11.50[/tex] = 0.345

Hence, the new salary must increase by 0.345 dollar per hour

The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85

Answer:

X = -7

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

lisa has 36 stickers, and john has 24, making the ratio 36:24, since they are both devisable by 12, you would get 3:2

Answer:

3:2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

it should be a

Step-by-step explanation:

the symbol means less than or equal to so she will have more then 120 buttions

Answer:

do you need a graph of it or it just multiplied out step by step?

Answer:

3x^4-24x^3+72x^2-96x+48

Step-by-step explanation:

1. (x-2)^4

=(x-2)(x-2)(x-2)(x-2)

=x^4-8x^3+24x^2-32x+16

2. 3(x^4-8x^3+24x^2-32x+16)

=3x^4-24x^3+72x^2-96x+48

Answer:

125 is an outlier

125 changes the mean by 23 points (from 375 to 352)

Step-by-step explanation:

an outlier is 1.5 times the IQR

the InterQuartile Range of this set of data is 400-350 or 50

50 x 1.5 = 75

the only data value that is 75 points from the IQR is 125

Answer:

-8/19

Step-by-step explanation:

-11/19 + 3/19

Since the denominators are the same, we add the numerators

(-11+3) /19

-8/19

Answer:

The first one is the second option

The second one is the 2 and 4 options

Step-by-step explanation:

It’s right on ed

Answers:

B. (f(x) = |42.67 – x|)

B and D (42.6668 mm and 42.673 mm)

the next slide-

The parent function has a slope of 1 or -1 from any point to the vertex. In the problem, we are given the points

(–2, 3) and (–1, 0)

The slope between the two points is

m = 0 - 3 / (-1 - (-2))

m = 3

The slope is greater than 1. Therefore, the graph has been dilated by a scale factor other than 1.

Answer:

the width is 64cm

Step-by-step explanation:

24 x 24 = 576

576 ÷ 9 = 64

Using an exponential function, it is found that 0.08 ml of the will be in the body in 30 hours.

The amount of a decaying substance is modeled by an exponential function in the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

In this problem, the half-life is 6 hours, which means that [tex]A(6) = 0.5A(0)[/tex], and this is used to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-6k}[/tex]

[tex]e^{-6k} = 0.5[/tex]

[tex]\ln{e^{-6k}} = \ln{0.5}[/tex]

[tex]-6k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{6}[/tex]

[tex]k = 0.11552453009[/tex]

Hence:

[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]

2.5 ml injection, hence [tex]A(0) = 2.5[/tex]

After 30 hours, we have to find A(30), hence:

[tex]A(t) = 2.5e^{-0.11552453009t}[/tex]

[tex]A(30) = 2.5e^{-0.11552453009(30)}[/tex]

[tex]A(30) = 0.08[/tex]

0.08 ml of the will be in the body in 30 hours.

A similar problem is given at https://brainly.com/question/16984805

Answer:

The answer is D, sqrt(41)in.

Step-by-step explanation:

The question is asking about the hypotenuse L. You can get that by using the Pythagorean Theorem( a^2+B^2=C^2). You can get the bottom length of the triangle by dividing 8 by 2, because the triangle is made from the top point of the pyramid. You can there do 5^2+4^2, which is 41. You then need to take the square root of that, or [tex]\sqrt{41}[/tex].

Answer:

Hello! Your answer would be, D) [tex]\sqrt{41} in.[/tex]

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Answer:

64 sq cm

Step-by-step explanation:

divide the shape into a 6x8 rectangle and a 4 x 8 triangle

6x8=48

.5x4x8=16

48+16=64

Step-by-step explanation:

7 years

leap years in 7 years:- 1

7 minus 1 equals to 6

6 calendar years to days:- 2190 days

so, $0.75 times 2190 = $1642.5

1642.5 plus $4.35 equals to 1646.85

2000/10=200

The answer is 200 times

[tex] \huge{ \mathfrak{ Answer }}[/tex]

Exterior angle = sum of opposite interior angles,

so,

[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]

value of t = 50°

[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]

measure of exterior angle is 110°

[tex] \normalsize{ \#TeeNForeveR}[/tex]

Answer:

Point of intersection is - (x, y) = (1, 2)

Step-by-step explanation:

Given - y=3x-1 y=2x

To find - For each pair of equations draw the lines for each the point of intersection represents the sol.

Proof -

Given that, the two lines are

y = 3x - 1            .........(1)

y = 2x                 .........(2)

For the intersection point, Compare the two equations (1) and (2)

By comparing, we get

3x - 1 = 2x

⇒3x - 2x - 1 = 0

⇒x - 1 = 0

⇒x = 1

Now,

Put the value of x in equation (1), we get

y = 3(1) - 1

   = 3  - 1

   = 2

⇒y = 2

∴ we get

Point of intersection is - (x, y) = (1, 2)

The graph is as follows :

Answer:

841 kmh-1

Step-by-step explanation:

speed = distance / time

time = 810 x 24 = 19440

16,340,000 km / 19440 = 840.535

Answer:

Ethan can make 48 possible combinations.

Step-by-step explanation:

Given that Ethan has packed 6 shirts, 4 pairs of pants and 2 pairs of shoes for vacation, to determine how many possible outfit combinations does Ethan have for his trip the following calculation must be performed:

Shirts x pants x shoes = Number of combinations

6 x 4 x 2 = X

24 x 2 = X

48 = X

Therefore, Ethan can make 48 possible combinations.

Answer:

48

Step-by-step explanation:

I took the test and got it right

Answer:

x = 3   or  x = -2

Step-by-step explanation:

(x - 5)(x + 4) = [tex]x^{2} - x - 20[/tex] = -14

                      [tex]x^{2} - x -6 = 0[/tex]

                      (x - 3)(x + 2) = 0

                       x = 3   or  x = -2

Answer:

Option A

Step-by-step explanation:

The income statement comprises of income made in a given year.

It never gives details of the target income or the income projected.

Hence, projected profit will not be included in the income statement. Rest all other options i,e Net Sales c. Cost of Goods d. Operating Expenses are the actual income and expenditure components that are included in a income statement

Option A is correct

Answer:A

Step-by-step explanation:I just took the test

Answer:

In 30 days the rainfall level will be 30 × (2.3 +- 0.05 mm) or 69.0 +- 1.5 mm

Answer:

even?

Step-by-step explanation:

I dont really get it

Answer:

Natural number, Composite number, Smallest perfect number

Step-by-step explanation:

Hope this helps!