the bottom of a 15 foot ladder is placed 3 feet back from the wall. How far up the wall will the top of the ladder reach? ( round to 1 decimal place.
a) 15 feet
b) 18 feet
c) 14.7 feet
d) 15.3 feet

Answer:

You can use a^2+b^2=c^2;

Step-by-step explanation:

42^2+78^2=(6x-1+10x+5)^2

Answer:

3.5

Step-by-step explanation:

Triangles always equal to 180

42 + 78 + 16x + 4 = 180

124 + 16x = 180

56 = 16x

3.5 = x

Answer:

2.2 m/s

Step-by-step explanation:

Step one

Given data

An earthquake wave travels through 55 km

hence distance = 55 km

time taken = 25 seconds

Required

the expression relating t and d

Step two:

we know that velocity is

Speed= distance/time

speed= 55/25

Speed= 2.2 m/s

the answer is 2.2 just divide

Answer:

E

Step-by-step explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E

9514 1404 393

Answer:

  $241.81

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

Filling in the values and doing the arithmetic, we have ...

  I = $2650×0.0365×2.5

  I = $241.81

The simple interest paid is $241.81.

Answer:

Step-by-step explanation:

ab + cd = e

       cd = e - ab

         d =(e - ab)/d

Step-by-step explanation:

xtan45° = (x+600)tan30°

x(tan45°-tan30°) = 600tan30°

x = 819.62m.

Therefore h = xtan45° = x = 819.62m.

Answer:

G.) 6

Step-by-step explanation:

The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.

x=5

y=2

Answer: (5, 3)

Step-by-step explanation:

Solve by Addition/Elimination

6x + 4y = 42 −3x + 3y = −6

Multiply each equation by the value that makes the coefficients of x opposite.

      6x + 4y = 42

      (2) ⋅ (−3x + 3y) = (2) (−6)

Simplify (2) ⋅ (−3x + 3y).

      6x + 4y = 42

      −6x + 6y = (2) (−6)

Multiply 2 by −6. 6x + 4y = 42

      −6x + 6y = −12

Add the two equations together to e liminate x from the system.

      6x + 4y = 42

    ±6x + 6y = −12

             1 0y= 30

Divide each term in 10y = 30 by 10.

      10y  =     30

      10          10

Cancel the common factor of 10.

     y = 30/10

  Divide 30 by 10.

      y = 3

Substitute the value found for y into one of the original equations, then solve for x.

Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42

 Multiply 4 by 3.

      6x + 12 = 42

Move all terms not containing x to the right side of the equation.

      6x = 30

Divide each term by 6 and simplify.

      x = 5

The solution to the independent system of equations can be represented as a point.

(5, 3)

The result can be shown in multiple forms.

Point Form:

(5, 3)

Equation Form:

x = 5, y = 3

Answer:

x = 7

Step-by-step explanation:

8x + 5 = 61

8x = 56

x = 7

Answer:

The mean of the test is 65

Step-by-step explanation:

Let the mean be x and SD be y

3 SD BELOW the mean means that we are taking away 3 SD FROM the mean

Mathematically, we have that as;

x - 3y = 41 •••••(i)

73 is 1 SD above mean

Mathematically;

x + y = 73 ••••••••(ii)

So let us solve both equations simultaneously

Simply multiply equation ii by 3 then add to i

x - 3y = 41

3x + 3y =219

4x = 41 + 219

4x = 260

x = 260/4

x = 65

Answer:

its actually 35

Step-by-step explanation:

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22

Answer:0.52, 0.545, 0.55, 0.6, 0.65

Source:trust me bro

Answer:

O.52 m, 0.545 m, 0.55 m, 0.6 m, 0.65m. :)

Step-by-step explanation:

Answer: the answer is A.

Step-by-step explanation:

I took the test

Answer:

36

Step-by-step explanation:

Answer:

The domain of 2(x-2)+4 is all real numbers, as well as for 2-(x-2)+4

Step-by-step explanation:

Answer:

$200 and $450

Step-by-step explanation:

We can start by assigning variables to our unknowns.

Our unknowns are the price for a DVD player and the price for a television.

x= price of a television

y= price of a DVD player

Next, let's translate the given information into a system of equations.

two televisions and three DVD players for $1750

2x+3y=1750

four televisions and one DVD player for $1250

4x+y=1250

Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.

First, from the second equation, we subtract 4x from both sides.

4x+y-4x=1250-4x

y=1250-4x

Now we plug 1250-4x for y in the first equation.

2x+3y=1750

2x+3(1250-4x)=1750

Distribute.

2x+3*1250-3*4x=1750

Simplify.

2x+3750-12x=1750

Combine like terms.

-10x+3750=1750

Subtract 3750 from both sides

-10x+3750-3750=1750-3750

-10x=-2000

Divide both sides by -10

x=200

A television costs $200.

Now using that, we can plug that into one of the original equations. I'll use the second one.

4x+y=1250

4(200)+y=1250

800+y=1250

Subtract 800 from both sides.

y=450

A DVD player costs $450

You can plug those values back into the other equation (the first one) to double-check if you'd like as well.

Answer:

5

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c² plug in the info you have

a²+12²=13² (c is always the side opposite from the right angle)

Solve for a

a²+144=169

   -144  -144

a²=25   take the square root of both sides

√a²=√25

a=5

Answer:

the answer I got is -23, please let me know if I am wrong.

Answer:

8.8-9.1n

Step-by-step explanation:

Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.

Answer:

there adding one to the thing each time it was at first 10 then 11 then 12 then 13 so there adding one each time so next time its 14

Step-by-step explanation:

Answer: 104

Step-by-step explanation:

I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.

Answer:

D

Step-by-step explanation:

I'm pretty sure it's D

Answer:

4

Step-by-step explanation:

You can count on your fingers if you need to or use a calculator.

Answer:

2+2 is 4

Step-by-step explanation:

Answer:

5.75

Step-by-step explanation:

for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!

Answer:$5.75

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

Answer:

where's the graph rn ?

Step-by-step explanation:

is this question complete?