A 32 ft ladder liens against a building so that the top of the ladder touches the building at a point 23 ft above the ground. To the nearest 10th of a foot how far from the bottom of the building is the bottom of the ladder

A. 27.5 ft
B. 39.4 ft
C. 22.2 ft
D. 30.1 ft

Okay so I’m thinking between C and B. I’m more so C because I did 32 as c and 23 as be so... or it could be the other way around

I just know it’s Pythagorean theorem help. Sending stars

Answers

Answer 1

base = 23^2 + b^2 = 32^2
529 + b^2 = 1024

b^2 = 1024 -529 = 495
b = sqrt(495) = 22.24

Answer = C. 22.2 ft

Related Questions

HURRYYYYYY!!!!!!!!!!!!!!!!!

SOMEONE HELP ME ON THIS

~ BRAINLIEST AVAILABLE

Answers

I would say B. g(x) eventually exceeds f(x) because g(x) is increasing exponentially.

As shown, f(x) = x + 4 and g(x) = (5/4)^x. This shows that f(x) is in fact Arithmetic (since its addition) and g(x) is Geometric (since its multiplication).

On a graph, Arithmetic sequences have a linear shape, while Geometric sequences have a exponential shape.

Example: x = 20
f(x): (20) + 4 = 24
g(x): (5/4)^(20) = 86.7

So, g(x) does in fact eventually exceed f(x).

Please help !! I fan and medal!!

1.)rewrite the following expression using the distributive property.
5(2x-8)
A.)-30x
B.)10x-40
C.)10x+40
D.)10x-8

2.)simplify the following expression:
-16-18/2+25/5+1. ( the -16 and -18 are both on top of the 2 it's a fraction)
A.)-18
B.)6
C.)10
D.)-6

Answers

1. B. 10x-40
2 i think you wrote it wrong but I'm going to guess to the best of my abilities
D. -6

what is this difference of the polynomials? (x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)

Answers

//////////////////////////////2x^3 + 2x

Answer:2x^3+2x

Step-by-step explanation:

NEED HELP WITH MY MATH

Answers

So for this problem we can recognize that it's a system of linear equations

recall the slope intercept form of a line
[tex]y = mx + b[/tex]
given the info we can write two linear equations one for John and one for Lyndon

take a look at johns part of the question. we can see that his bank starts with 100 dollars and every day after he saves 20 dollars. Now we can see that the 100 is the y intercept or b of our equation because it's our initial amount and the rate of change or m of the equation is 25. filling in this info we get this as johns equation:

[tex]y = 25x + 100[/tex]
now we can do the same for Lydon, she has 50 dollars to start and saves 30 dollars a day. So using the same steps as we did for John we get the equation
[tex]y = 30x + 50[/tex]
now we can do a little trick, to find out when their bank amounts will be equal we set both equations equal to each other (we're just substituting y into the equation) So we get
[tex]25x + 100 = 30x + 50[/tex]
now let's clean this up and solve for X with some algebra
[tex]100 = 30x - 25x + 50[/tex]
subtract 25x
[tex]100 = 5x + 20[/tex]
combine like terms
[tex]80 = 5x[/tex]
subtract 20
[tex]x = 16[/tex]
divide off 5 to get your x value

now we're almost done we just need to plug X back into any of our two equations we made at the beginning of the problem lets use johns equation and plug in 16 because as we found out x=16

[tex]y = 25(16) + 100[/tex]
multiply and add to get
[tex]y = 500[/tex]

now that we know
[tex]x = 16 \: \: and \: \: y = 500[/tex]
we can finalize our answer answer to the system as a coordinate (x,y) and we'll get

(16,500)

since the questions asks after how many weeks though we would say 16 or the x value because in a time related problem, time is always the x value so the final answer is

[tex]16 \: \: weeks[/tex]

Can anyone help me on this problem, I have been stuck on it for a while now.

Answers

I think it should be 90 degrees since that angle seems to form a right angle.and right angles equal 90 degrees.

45 degrees
hope I helpeeeeeed

The quadrilateral WXYZ has vertices W(3,-5) X(1,-3) Y(-1,-5) and Z(1,-7)
Perform r(90 degrees, 0) (WXYZ) and state the coordinates of the vertices

Answers

Final answer:

After performing a 90 degree rotation about the origin on the points, the new coordinates for W, X, Y, and Z respectively are (5,3), (3,1), (5,-1), and (7,1).

Explanation:

In this problem, the task is to rotate a quadrilateral 90 degrees about the origin (0,0). The rule for rotation of points in the plane about the origin by 90 degrees is (x, y) -> (-y, x).

The new coordinates are,

For W(3,-5), it will become W'(-(-5),3) which equals W'(5,3) after rotating 90 degrees. For X(1,-3), it will become X'(-(-3),1) which equals X'(3,1) after rotating 90 degrees. For Y(-1,-5), it will become Y'(-(-5),-1) which equals Y'(5,-1) after rotating 90 degrees. For Z(1,-7), it will become Z'(-(-7),1) which equals Z'(7,1) after rotating 90 degrees.

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A right triangle has legs that are 16 inches and 20 inches long. What is the length of the hypotenuse? Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

Answers

To find the hypotenuse, you have to square each leg, add them together, and you will get the hypotenuse squared.
16×16= 256
That is one leg squared.
20×20= 400
400+256= 656
We have to find the square root of 656 to find the hypotenuse.
√656≈ 25.61
The hypotenuse is 25.61 inches.

The Pythagorean theorem states that a^2 + b^2 = c^2 (a and b are the two legs, and c is the hypotenuse). We can use this theorem to solve the problem!

We can represent a with 16 and b with 20:
(16)^2 + (20)^2 = c^2 16^2 = 256 and 20^2 = 400
256 + 400 = c^2 --------> 656 = c^2
Now we have to figure out what the square root of 656 is, (a really long and complicated process I will spare you having to figure out.) and the answer is:
c = 25.612 So the length of the hypotenuse (rounded to the nearest hundredth) is 25.612.

Explain what defines direct variation. Then, check which of the following tables include directly proportional quantities x and y x 1 2 3 4 y 7 14 21 28

Answers

Direct variation in mathematics is when two numbers are written in an equation where one of the numbers multiplied by a constant term to equal the other.

In the table in the equation, we see direct variation.

X Y
1 7
2 14
3 21
4 28

We can find the constant of the variation by dividing y by x. This constant should remain the same for all terms of x in the table with their corresponding y values.

y/x
7/1=7
14/2=7
21/3=7
28/4=7

As we can see, the values in the table all share a direct variation between x and y with the value 7.

This can be expressed in an equation: y = 7x.

how do you factorise 15x+10

Answers

15x is 5 x 3x
-10 is 5 x -2
So 3x and -2 go in brackets
So the answer is 5(3x - 2)

NEED HELP ASAP!
SHOW WORK FOR 1. b, c, d and e!!!

RANDOM ANSWERS WILL BE MODERATED!

Answers

1a) It is an arithmetic sequence with a first term of 5 and a common difference of (9-5) = (13-9) = 4.

1b) a[1] = 5; a[n+1] = a[n]+4

1c) a[n] = 1+4n

1d) Yes. (2013 -1) = 2012 is divisible by 4.

1e) (533 -1)/4 = 133 . . . terms

can someone check these questions?

Answers

4
4 is correct

5
The second one is also correct.

What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right side is 5x-9

Answers

Depends on the value of x. If x = 3, the triangle has sides 18, 6, 16 which satisfies the triangle inequality, so 2x+12 is longest in this case. If x is very large, the triangle inequality is still satisfied, and 6x-2 is the longest side.

Brainliest pts.....

Final answer:

To find the length of the longest side of the triangle, use the Pythagorean theorem to solve for x and determine the side lengths of the triangle.

Explanation:

To find the length of the longest side of the triangle, we need to determine which side is the hypotenuse. In a right triangle, the hypotenuse is the side opposite the right angle. Using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can find the length of the hypotenuse.

Let's denote the three sides of the triangle as A, B, and C. The left side is 2x + 12, the bottom side is 6x - 2, and the right side is 5x - 9. Since we can't determine which side is which based on the given information, we can use the variables.

By applying the Pythagorean theorem, we can set up the equation (2x + 12)^2 + (6x - 2)^2 = (5x - 9)^2. Expanding and simplifying this equation will allow us to solve for x and find the lengths of the sides of the triangle. Once we have the side lengths, we can determine which side is the longest.

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How would you use a model to determine the approximate formula for the circumference of a circle with a diameter of 8 cm, and connect the model to the actual formula?

Answers

Sorry for the late response, but the formula would be:

Circumference = pi x diameter
Circumference = 3.14 x 8
Circumference = 25.12

Hope this helps!!

Answer with explanation:

Take a thread of length x cm.Convert it into circle of radius r cm.

If you divide the Length of circle by value equal to 2 π, you will obtain radius of the circle.The value 2π is a constant Quantity is an Irrational number.

[tex]\rightarrow \frac{\text{Length of thread}}{2 \pi}=r\\\\ \rightarrow \frac{x}{2 \pi}=r\\\\ \rightarrow x=2 \pi r[/tex]

Diameter of Circle =8 cm

Circumference of a circle with a diameter of 8 cm has radius equal to 4 cm because radius is half of diameter

=2 × 3.14 × 4 cm

= 25.12 cm

⇒So, Actual Length of thread =25.12 cm

Irrational Quantity=2 π=2×3.14=6.28 cm

So Radius

[tex]=\frac{25.12}{6.28}\\\\=4 cm[/tex]

Diameter =Radius × 2

=4 cm × 2

= 8 cm

Solve the inequality. Write the solution in interval notation. Choose the correct solution. 6x > – 24
A. [ –24, ∞ ) B. [ – 4, ∞ ) C. ( –∞, 24 ] D. ( – 4, ∞ ]

Answers

Divide the given inequality 6x > -24 by 6 to isolate x, resulting in x > -4, which in interval notation is (-4, ∞). The correct choice is D. ( -4, ∞) ].

To solve the inequality 6x > -24, we will divide both sides of the inequality by 6 to isolate x, keeping in mind that since 6 is positive, the direction of the inequality will remain the same.

Step-by-step solution:

Start with the inequality 6x > -24.

Divide both sides by 6, which gives us x > -4.

In interval notation, this translates to (-4, ∞).

The correct choice is D. ( -4, ∞) ]

Please show work! Thank you

Answers

a) The greatest rectangular area will be the area of a square 10 m on each side, 100 m^2.

b) The new dimensions will be 11 m × 11 m.
.. The new area will be (11 m)^2 = 121 m^2.

c) The area was increased by 121 m^2 -100 m^2 = 21 m^2, or 21%.

d) Yes, and no.
.. If you increase the dimensions by 10%, the area will increase by 21%.
.. (40 m)^2 = 1600 m^2
.. (44 m)^2 = 1936 m^2 = 1.21*(1600 m^2), an increase of 21% over the original.

.. If you increase the dimensions by 1 unit, the area will increase by (2x+1) square units, where x is the side of the original. For x≠10, this is not 21 square units.
.. (41 m)^2 = 1681 m^2 = 1600 m^2 +(2*40 +1) m^2 = 1600 m^2 +81 m^2

two vertical cliffs are on opposite sides of a 90 foot wide river. From point A at the top of the shorter cliff, the angle of elevation of the top of the other cliff(b) is 28 degress and the angle of depression to the bottom is 38 degress.find the height of each cliff ,to the nearest foot

Answers

Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.

If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.

Therefore, we can set up a tangent equation.

From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:

tan(28) = x /90
x = 47.88

From the top of the short cliff to the bottom, we can right and solve the following trip equation.

tan(38) = x/90
x = 70.32

The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.

Final Answer:

The height of the shorter cliff is 70 feet and the height of the taller cliff is 118 feet.

Explanation:

To find the height of each cliff, we will use trigonometry. Specifically, we will use the tangent function, which is the ratio of the opposite side to the adjacent side of a right-angled triangle.

First, let's consider the shorter cliff (point A). We know the angle of depression from A to the bottom of the river is 38 degrees. If we imagine a horizontal line at the height of point A, we can create a right-angled triangle with one angle at the bottom of the river, the vertical side as the height of the cliff, the horizontal side as the width of the river, and the angle of depression at point A.

Using the tangent of the angle of depression, we can set up the following equation to find the height of the shorter cliff (which we will call hA):
tan(38 degrees) = height_shorter_cliff / width_river

Solving for the height of the shorter cliff, we get:
height_shorter_cliff = width_river * tan(38 degrees)

Using a calculator or trigonometry tables, we find that the height of the shorter cliff is approximately 70 feet.

Next, let's consider the taller cliff (point B). The angle of elevation from A to B is given as 28 degrees. Now we can imagine another right-angled triangle, this time with one angle at point A, the vertical side as the difference in height between cliffs A and B, the horizontal side as the width of the river, and the angle of elevation at point A.

Using the tangent of the angle of elevation, we can set up an equation to find the height difference between cliffs A and B (which we will call hB - hA):
tan(28 degrees) = (height_taller_cliff - height_shorter_cliff) / width_river

We can rearrange this to solve for the height of the taller cliff:
height_taller_cliff = width_river * tan(28 degrees) + height_shorter_cliff

Now, using our previous result for the height of the shorter cliff (70 feet), we plug it into our equation:
height_taller_cliff = 90 * tan(28 degrees) + 70

Using a calculator or trigonometry tables to evaluate tan(28 degrees), we find that the height of the taller cliff is approximately 118 feet.

Therefore, to the nearest foot, the height of the shorter cliff is 70 feet and the height of the taller cliff is 118 feet.

Use a calculator to evaluate cot 3.14/5

Answers

You need to be a little careful here. cot(3.14/5) ≠ cot(π/5) to the accuracy shown. 3.14 is not a useful approximation for π if you want to use more than 3 significant digits in your result.

The 2nd selection is appropriate. (1.376)

At a recent holiday party, 4/5 of the attendees were company employees and the rest were their guests. if 2/3 of the employees who attended were engineers, what was the number of non-engineer employees who attended? there were 225 total attendees at the party. there were 45 attendees who were guests of the employees.

Answers

There were 225 people who attended the party.

------------------------------------------------------
4/5 of the attendees were employee:
------------------------------------------------------

[tex] \dfrac{4}{5} \times 225 = 180[/tex]

There were 180 employees.

------------------------------------------------------
2/3 of the employees were engineers:
------------------------------------------------------

[tex]\text {Fraction of non-engineers = } 1 - \dfrac{2}{3} = \dfrac{1}{3} [/tex]

------------------------------------------------------
Number of Non-engineers :
------------------------------------------------------

[tex]\text { number of non-engineers = } \dfrac{1}{3} \times 180 = 60[/tex]

----------------------------------------------------------------------------------------------------
Answer: There were 60 non-engineers employees that attended the party.
----------------------------------------------------------------------------------------------------

1. Simplify the product.
7x (x+4)
A) 7x^2 + 4
B) 7x^2 + 28x
C) 8x + 4
D) 8x + 11,

Answers

Using the foil method the simplification of the product 7x (x+4) is the answer B) 7x^2 + 28x. The foil method is the standard method of multiplying two binomials. FOIL stands for First, Outer, Inner and Last. The order of the letters is not important and does not have to match the letters of the word FOIL

The simplified product is 7x² + 28x.

Option B is the correct answer.

We have,

To simplify the product 7 x (x + 4), we need to distribute the 7x to both terms inside the parentheses.

The distributive property states that for any numbers a, b, and c,

a x (b + c) = a x b + a x c.

Applying this property to the given expression, we have:

(7x) x (x) + (7x) x 4

Multiplying 7x by x gives us 7x², and multiplying 7x by 4 gives us 28x.

So the simplified expression becomes:

7x² + 28x

Therefore,

The simplified product is 7x² + 28x.

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Can you check my work please?

Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.

Part 1: How many radians does the minute hand move from 1:25 to 1:50? (Hint: Find the number of degrees per minute first.)

My Answer: Part one:
(360degrees/60minutes = 6 degrees per minute.)
1:25 to 1:50 is 25 minutes. 25 x 6 = 150.
150pi/180 = 5pi/6,

Answers

Your answer is correct. Indeed:

- In order to find the degrees per minute, you have to divide the full rotation angle (which is 360deg) by the number of minutes (which is 60):
360deg ÷ 60min = 6 deg/min

- In order to find how many minutes have passed, you subtract the times:
1h50m - 1h25m = 0h25m

- You then find how many degrees correspond to 25minutes:
6 deg/min × 25 min = 150deg

- Lastly, you transform degrees into radiants, through the proportion:
deg : 180 = rad : π
Therefore,
150 : 180 = rad : π
rad = (150×π)/180 = 5π/6

2/3 7/8 What is closer to 3/4

Answers

I’d say 7/8. Hope dis helps!!

The football coach bought enough sports mix to make 60 L of a sports drink.

How many cups of the sports drink can the coach make?

(1 L ≈ 2.11 pt)

Question 3 options:

56.9 cups

63.3 cups

253.2 cups

267.1 cups,

Answers

your answer is 253.2 cups. 60L=126.6 pints. two cups in a pint makes 253.2 cups.

Find an equivalent fraction for the decimal number. Be sure that your answer is in lowest terms. Enter the numerator into the first box and the denominator of the fraction into the box below. a0 0.6 = ________ a1

Answers

Well, it's asking for a fraction that is in it's lowest terms that is equivalent to 0.6, which is six-tenths or 6/10. so divide both the numerator and denominator by 2 and you get 3/5 or three-fifths. It's easy if you think about it!

6/10 divided by 2= 3/5
6/10=0.6
3/5=0.6
Hope this helps!

Answer:

The lowest fraction equivalent to 0.6 is [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Given : The decimal number is 0.6

To find : An equivalent fraction for the decimal number in the lowest terms.

Solution : The decimal number 0.6 is written in fraction by removing decimal.

Step 1 - Write the decimal number

[tex]0.6[/tex]

Step 2- Remove the decimal

[tex]0.6 = \frac{6}{10}[/tex]

Step 3 - Reduced the fraction by dividing Nr. and Dr. by 2

[tex]0.6 = \frac{6}{10}=\frac{3}{5}[/tex]

Therefore, The lowest fraction equivalent to 0.6 is [tex]\frac{3}{5}[/tex]

Numerator is [tex]a_0=3[/tex] and Denominator is [tex]a_1=5[/tex]

**** IS MY ANSWER CORRECT? ***Suppose you push your physics book against a wall hard enough to keep it from moving. Does the friction force on the book point (a) into the wall, (b) out of the wall, (c) up, (d) down, or (e) is there no friction force? Explain.

Answers

There is not friction force. Friction force refers to the an object moving and the friction not allowing it to move, however in this case the wall is what is keeping it from moving not friction.

how are three or more angles related

Answers

acute and obsute acute- mesures less than 90 and obsute- measures more than 90 degrees and no more than 180 degrees. tbh ion know what im saying XD :D

What is the missing constant term in the perfect square that starts with x^2−4x

Answers

x² - 4x = x² - 4x + ([tex] \frac{4}{2} [/tex])² - ([tex] \frac{4}{2} [/tex])²
x² - 4x = x² - 4x + (2)² - (2)²

2² = 4

The constant term that is missing is 4

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2−x+1 intersect are the solutions of the equation 4−x = 2−x+1. (4 points) Part B: Make tables to find the solution to 4−x = 2−x+1. Take the integer values of x between −2 and 2. (4 points) Part C: How can you solve the equation 4−x = 2−x+1 graphically? (2 points)

Answers

You probably mean the equations are y = 4 - x and y = 2x -1. Else with given equations, the solution is not possible. The steps of the solution are listed below:

Part A)
The solution to the equation 4 - x = 2x + 1 are the points where both the equations have same value for a given value of x. This means, if a points (x,y) lies on both the lines it will be the solution of the given equations. Since that point lies on both the lines, both lines will cross that point. Crossing that point can be seen as intersection of two lines at that point.
Therefore, x-coordinates of the points where the graphs of equations y = 4 - x and y = 2x + 1 intersect are the solutions of the equation 4 - x = 2x + 1

Part B)
The table is attached in the images below. As seen from the table, both lines have same value of y for x =1. So x=1 is the solution to the equation 4 - x = 2x + 1

Part C)
In order to solve the equation 4 - x = 2x + 1 , we plot the individual lines y = 4 - x and y = 2x + 1 on the graph. The point of intersection of two lines will be the solution to the equation. The graph of lines is attached below.

A. We have two lines: y = 2-x and y = 4x+3 Given two simultaneous equations that are both required to be true.. the solution is the points where the lines cross... Which is where the two equations are equal.. Thus the solution that works for both equations is when 2-x = 4x+3 because where that is true is where the two lines will cross and that is the common point that satisfies both equations. B. 2-x = 4x+3 x 2-x 4x+3
______________

-3 5 -9
-2 4 -5
-1 3 -1
0 2 3
1 1 7
2 0 11
3 -1 15

The table shows that none of the integers from [-3,3] work because in no case does
2-x = 4x+3 To find the solution we need to rearrange the equation to the form x=n 2-x = 4x+3 2 -x + x = 4x + x +3 2 = 5x + 3 2-3 = 5x +3-3 5x = -1 x = -1/5 The only point that satisfies both equations is where x = -1/5 Find y: y = 2-x = 2 - (-1/5) = 2 + 1/5 = 10/5 + 1/5 = 11/5 Verify we get the same in the other equation y = 4x + 3 = 4(-1/5) + 3 = -4/5 + 15/5 = 11/5 Thus the only actual solution, being the point where the lines cross, is the point (-1/5, 11/5) C. To solve graphically 2-x=4x+3 we would graph both lines... y = 2-x and y = 4x+3 The point on the graph where the lines cross is the solution to the system of equations ... [It should be, as shown above, the point (-1/5, 11/5)] To graph y = 2-x make a table.... We have already done this in part B x 2-x x 4x+3 _______ ________ -1 3 -1 -1 0 2 0 3 1 1 1 7 Just graph the points on a cartesian coordinate system and draw the two lines. The solution is, as stated, the point where the two lines cross on the graph.

Hope this helps.

What is the perimeter of rectangle EFGH?

+ units
+ units
22 units
39 units

Answers

Answer:

B. 2√10 + 2√29 units

Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale for 15% off. Sales tax is 7%. Victoria says that she has enough money to buy the skateboard. Is she correct? Explain.

Answers

we know that
Victoria has $125 to spend

[purchase price skateboard]=$139.99-0.15*$139.99-----> $139.99-$21
[purchase price skateboard]=$118.99

sales tax is 7%----------> 0.07*$118.99----------> $8.33
sales tax is $8.33

Victoria has to pay [$118.99]+[$8.33]=$127.32
$127.32 > $125
therefore
Victoria has not enough money to buy the skateboard

the answer is
Victoria has not enough money to buy the skateboard

what is the simplified form of the following expression? sqrt 1/144

Answers

Rewrite using the quotient rule for radicals.√1/√144Any root of 1 is 1.1√144Simplify the denominator.The result can be shown in both exact and decimal forms.Exact Form:1/12Decimal Form:0.08333333333333

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