If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer 1

Answer:

16.6

Step-by-step explanation:

somtimes you gotta pay attention to you're math teacher

Answer 2

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Hypotenuse² = Base² + Length²

The height of the building is 32.8 feet

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building.

This can be written as,

Hypotenuse = 26 feet

Base = 20 feet

Height = height of the building

Now,

Applying the Pythagorean theorem.

Hypotenuse² = Base² + Length²

26² = 20² + Height²

Height² = 676 + 400

Height² = 1076

Height = √1076

Height = 32.8 feet

Thus,

The height of the building is 32.8 feet

Learn more about the Pythagorean theorem here:

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#SPJ5


Related Questions

Can someone help me with this please

Answers

Answer:

-19, -8, 0, 1/2, 1/4

12, 1 1/2, 5, -12, -19

Step-by-step explanation:

Answer:

1) So sorry but I dont know this one.

2) -19, -8, 0, 1/4, 1/2

3) 12, 5, 3/2, -12, -19

Step-by-step explanation:

A poster is 3 feet long and 30 inches wide. What is the area, in feet, of the painting?

Answers

Answer:

90 feet

Step-by-step explanation:

30x3=90

Answer:

7.5 feet

Step-by-step explanation:

Convert inches to feet

30 inches as feet would be 2.5 feet

Multiply

3×2.5=7.5

i cant solve this help –8x + 15 < 71

Answers

Answer:

x > -7

Step-by-step explanation:

Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

First, subtract 15 from both sides:

-8x + 15 (-15) < 71 (-15)

-8x < 71 - 15

-8x < 56

Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:

(-8x)/-8 < (56)/-8

x < (56)/-8

x > -7

x > -7 is your answer.

~

Answer:

Any number greater than but excluding -7.

Step-by-step explanation:

-8x + 15 < 71

-8x < 71 - 15

-8x < 56

56 divided by -8 = -7

So, that means anything greater than -7 would result in a lower number than 71.

which is a proper number ?

A. 2/3
B. 3/2
C. 1 2/3
D. 3/3

Answers

Answer:

try a if not d

Step-by-step explanation:

Hope with a question

Answers

Answer:

(3,7)

Step-by-step explanation:

please give a detailed explanation, im genuinely trying in this class​

Answers

Answer:

C) [tex]\frac{\sqrt{6} }{14}[/tex]

Step-by-step explanation:

We multiply the conjugate (7 √2) with the denominator and numerator:

[tex]\frac{\sqrt{3} }{7\sqrt{2} } *\frac{-7\sqrt{2}}{-7\sqrt{2}} \\\\\frac{\sqrt{6} }{14}[/tex]

I also just used my calculator and it gave me this

which value in the set (2,3,48,96) is a solution of the equation 24+x=72

Answers

Answer:

48

Step-by-step explanation:

24+x=72

Isolate x

24+x=72

-24    -24

x=48

Can someone please help with this?

Answers

Answer:

Distance over Speed (Option 2)

Step-by-step explanation:

Clculating how long it takes to travel from one place to another requires the formula T= d/s

What is 2x + 10 = 2y + 5?

Answers

Answer:

x=y+-5/2

Step-by-step explanation:

Let's solve for x.

2x+10=2y+5

Step 1: Add -10 to both sides.

2x+10+−10=2y+5+−10

2x=2y−5

Step 2: Divide both sides by 2.

2x

2

=

2y−5

2

x=y+

−5

2

8 mm: 24 cm in its simplest form is

Answers

Answer:

1mm:3cm

Step-by-step explanation:

8mm:24cm

----------------     = 2mm:6cm

       4

2mm:6cm  divided by 2 equals 1mm: 3cm

The required simplest form of 8mm; 24cm is 1mm; 3cm.

We have to determine, the simplest form of 8 mm: 24 cm.

To obtain the simplest form of the equation calculation must be done in a single unit following all the steps given below.

The ratio is just a way to compare two quantities while the proportion is an equation that shows that two ratios are equivalent.

Here, 8 mm: 24 cm.

Therefore,

[tex]8mm \ ; 24cm[/tex]

Divided by 8 both sides,

[tex]= \dfrac{8mm}{24cm}\\\\= \dfrac{1mm}{3cm}[/tex]

Hence, The required simplest form of 8mm; 24cm is 1mm; 3cm.

To know more about the Time period click the link given below.

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Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.

Answers

Given:

The inequalities are:

1. [tex]x-85.2\leq 14.6[/tex]

2. [tex]\dfrac{x}{6}>-23[/tex]

3. [tex]x-43<37[/tex]

4. [tex]8x\leq 128[/tex]

5. [tex]x+4.7>21.6[/tex]

To find:

The inequalities that have 4 as a solution.

Solution:

We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.

1. The inequality is

[tex]x-85.2\leq 14.6[/tex]

Putting [tex]x=4[/tex], we get

[tex]4-85.2\leq 14.6[/tex]

[tex]-81.2\leq 14.6[/tex]

This statement is true. So, the inequality [tex]x-85.2\leq 14.6[/tex] has 4 as a solution.

2. The inequality is

[tex]\dfrac{x}{6}>-23[/tex]

Putting [tex]x=4[/tex], we get

[tex]\dfrac{4}{6}>-23[/tex]

[tex]0.67\leq -23[/tex]

This statement is true. So, the inequality [tex]\dfrac{x}{6}>-23[/tex] has 4 as a solution.

3. The inequality is

[tex]x-43<37[/tex]

Putting [tex]x=4[/tex], we get

[tex]4-43<37[/tex]

[tex]-39<37[/tex]

This statement is true. So, the inequality [tex]x-43<37[/tex] has 4 as a solution.

4. The inequality is

[tex]8x\leq 128[/tex]

Putting [tex]x=4[/tex], we get

[tex]8(4)\leq 128[/tex]

[tex]32\leq 128[/tex]

This statement is true. So, the inequality [tex]8x\leq 128[/tex] has 4 as a solution.

5. The inequality is

[tex]x+4.7>21.6[/tex]

Putting [tex]x=4[/tex], we get

[tex]4+4.7>21.6[/tex]

[tex]8.7>21.6[/tex]

This statement is false. So,4 is not a solution of the inequality [tex]x+4.7>21.6[/tex].

9. Find the relative frequency of students with July birthdays given the following table:
Birth Month. Number of Students

August. 2
September. 1
October. 2
November. 5
December. 3
January. 1
February. 2
March. 2
April. 1
May. 0
june. 4
July. 2 ​

Answers

Answer:

2,5,3,2,1,0,4,this is the number of students

A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?

Answers

Answer:

Height of the triangle = 10 cm

Step-by-step explanation:

Given:

Dimensions of rectangle = 3 cm , 10 cm

Base of triangle = 6 cm

Find:

Height of the triangle

Computation:

Given that area of rectangle is equal to area of triangle

So,

(l x b) = (1/2)(b)(h)

(3 x 10) = (1/2)(6)(h)

30 = 3(h)

h = 10

Height of the triangle = 10 cm

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?P(pizza or steak)

Answers

Answer:

To find the experimental probability you have to find the number of times the event occurred and the number of times the activity is preformed then divide the two numbers

Step-by-step explanation:

I’m not quite sure on the answer I believe it’s 1.3

have a great day!

brainliestif correct I need 4 more to rank up thanks!

PLS HELP I AM TIMED I WILL MARK BRAINLIEST///A rectangular prism has dimensions 2 feet by 3 feet by h feet.
Which of the following expressions represents the surface area, in square feet, of the
prism?
a. 5h + 6
b. 5h + 12
c. 10h + 6
d. 10h + 12

Answers

Answer:

5h+6

Step-by-step explanation:

I was litterly just doing this trust me im right lol

Answer:

D. 10h+12

Step-by-step explanation:

You have to multiply to find the area of each rectangle. There are 3 pairs of rectangles that are identical to one another.

2*h = 2h * 2 = 4h

3*h = 3h *2 = 6h

2*3 = 6 *2 = 12

10h+12

x + y = 8
2x2 – y = –5

Answers

Answer:

x=-2,y=10

Step-by-step explanation:

y=8-x.............equation 1

4-y=-5..........equation 2

Now,

putting the value of y in equation 2,

4-(8-x)=-5

4-8+x=-5

-3+x=-5

x=-5+3

x=-2

Then,

putting the value of x in equation 1

y=8+2

y=10

Help me with number two please

Answers

Number two is a type of question of what’s your opinion, but if you really want an answer from someone on the internet, take this:
I would expect the results to not be the same because not everyone has the same type of movie preference.

let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5

Answers

X=3 x 4 = 57 is the answer

3+p=8 what the answer??

Answers

Answer: 5

Step-by-step explanation:

Ryan says that a rectangle is a square because it has 4 right angles. Addy says that a rhombus is a square because it has 4 equal sides. Part A Who is correct? A. Only Addy B. Only Ryan C. Both Ryan and Addy D. Neither Ryan nor Addy Part B How are rectangles and squares related? Use the drop-down menus to complete the explanation. All Choose... are Choose... , but only Choose... with 4 equal sides are Choose...

Answers

Answer:

D. Neither Ryan nor Addy

Step-by-step explanation:

Square:

A square is a quadrilateral that has equal sides and all angles equal to 90 degrees.

Rectangle:

A rectangles is a quadrilateral that has equal or unequal  sides and all angles equal to 90 degrees. All rectangles are not squares.

Rhombus:

A rhombus is a quadrilateral that has equal sides and all angles may or may not be  equal to 90 degrees. All squares are rhombus. But all rhombus are not squares.

As both Ryan and Addy have missed out one property of square therefore both of them are incorrect.

In addition to tuition, what other costs should you plan for when considering what college to attend?

Answers

Answer:

the college application, housing expenses if you're on campus, food and groceries, extra money if you need textbooks, there's so much more too

Can I get some help pls and no links pls i'm getting tired of getting links

Answers

53.2

40%=.4
.4 times 38 = 15.2
15.2+38=53.2

Thank me later

plz someone tell me what 7x2 is

Answers

Answer:

14

Step-by-step explanation:

Rhianna took a total of 10 pages of notes during 2 hours of class. In all, how many hours will Rhianna have to spend in class before she will have a total of 15 pages of notes in her notebook? Assume the relationship is directly proportional.

Answers

Answer:

Step-by-step explanation:

if 10 pgs = 120 mins

then 15 pgs = 15 × 120÷10

                 =1800÷10

                = 180 mins

if 60 min = 1 hr

then 180 min = 180×1÷60

                      = 3 hrs

thus it will take her 3hours

10 pages 2 hrs
15 pages x hrs
x=15•2/10
x=3 hrs

What are the solutions to 4x^{2}-3x-2=0

Answers

Answer:

x = 1.175

x = -0.425

Step-by-step explanation:

Use quadratic formula (see picture)

a = 4

b = -3

c = -2

x = 1.175

x = -0.425

OR x = [tex]\frac{3 +/- \sqrt{41} }{8}[/tex]

-----------------------------

using factoring

4x^2-3x-2=0

The answer is 4x^2+3

Solve.
Pls Need Help

Answers

Answer:

3/8

Step-by-step explanation:

Since the greatest is 3 1/2 and the least it 3 1/8

3 1/2 - 3 1/8 = 3/8

Find the area, use 3.14 for pi

Answers

Answer:

113.04

Step-by-step explanation:

The formula for the area of a circle is A=(pie)r²

So the equation is 3.14 x 6² = 113.04

Kelly and Brandon have a combined age of 32.
They have an age difference of 6 (Kelly is older).
Write a system of equations to find out how old Kelly is
and how old Brandon is.

Answers

Answer:

Kelly is 19; Brandon is 13

Step-by-step explanation:

k + b = 32.  Also:  k = b + 6.

Substituting b + 6 for k in the first equation, we get b + 6 + b = 32, or

2b = 26.  Then b must be 13, and k must be 13 + 6, or 19.

Kelly is 19; Brandon is 13.

Answer:

Brandon is 13, Kelly is 19.

Step-by-step explanation:

Let's set up our equations.

Kelly and Brandon have a combined age of 32.

K + B = 32

They have an age difference of 6. Kelly is older.

K - B = 6

Let's shift the equation around a little.

K - B = 6

Add B to both sides.

K = B + 6

Now let's plug K into our first equation.

K + B = 32

(B + 6) + B = 32

Combine like terms.

2B + 6 = 32

2B = 26

Divide both sides by 2.

B = 13

Now that we know Brandon is 13, we can find Kelly's age.

K + B = 32

K + 13 = 32

K = 19

Kelly is 19.

Hope this helps!

What would be different if you started your day with a feeling of being in control?

Answers

it would make me feel like i’m somebody and i have power(for good use)

Answer:

I would feel like I have a lot of power and I would use that to try to help people.

Please help me I can’t figure it out NO LINKS
LINKS=REPORT

Answers

Answer:

x = 3

y = 8

Step-by-step explanation:

ok we will substitute

y = x + 5

into the second equation

4x + y = 20

4x + (x + 5) = 20

5x + 5 = 20

5x = 15

x = 3

y = x + 5 = 3 + 5 = 8

Answer:

4(3)+y=20

Step-by-step explanation:

4*3=12

Y= 3+5

3+5=8

12+8=20

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