Carmen leaned a 13-foot ladder against a wall. If the base of the ladder is 4 feet from
the bottom of the wall, approximately how far up the wall does the ladder reach?

Answers

Answer 1

Answer:

13+4=17

Step-by-step explanation:

Answer 2

The required ladder reaches approximately 12.37 feet up the wall.

What is the Pythagorean theorem?

The Pythagorean theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In algebraic terms, the Pythagorean theorem can be written as:

a² + b² = c²

where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

Here,
We can use the Pythagorean theorem to solve this problem. Let's denote the distance from the bottom of the wall to where the ladder reaches the wall as h. Then we have,

h² + 4² = 13²

h² + 16 = 169

h² = 153

h ≈ 12.37

Therefore, the ladder reaches approximately 12.37 feet up the wall.

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Related Questions

Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of them is running at a constant rate. When Aarav completed the first lap, Bahir was already 100 meters ahead of him. How many laps will Aarav complete by the time Bahir reaches him from behind on the track?

Answers

Answer:

4

Step-by-step explanation:

for every 400 meters aarav runs bahir runs 500

when bahir is at 2000 aarav is at 1600

Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it :)

Answers

Given:

The expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

It can be rewritten as:

[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]

Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].

Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].

Find the area of the shaded region. Round your answer to the nearest hundredth.

Two concentric circles such that the inner circle divides the radius of outer circle into two segments of equal lengths labeled 8 centimeters. The region formed between two circles and one diameter of outer circle is shaded. The diameter makes an arc that measures 180 degrees.

The area is about ??? square centimeters. (if you have another answer you can add me on discord ^LoneLai^#0320)

Answers

Answer:

FIRSTLY GET THE AREA OF THE WHOLE CIRCLE BY USING FORMULA [tex]pi \times r ^2[/tex]THEN AFTER THAT DIVIDE THE AREA BY 2AFTER THAT UR ANSWER WILL COME

PLEASE MARK ME AS BRAINLIEST

Thus the area of shaded region is 301.5 cm^2.

What is circle?

"The collection of all points equidistant from a fixed point in a plane is called a circle".

For the given situation,

The radius of the inner circle be r = 8 cm and

the radius of the outer circle be R = 16 cm

The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]

Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]

⇒[tex]200.96[/tex]

≈[tex]201[/tex]

Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]

⇒[tex]803.84[/tex]

≈[tex]804[/tex]

The shaded region replicates the semicircle. So,

Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]

⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]

⇒[tex]402-100.5[/tex]

⇒[tex]301.5 cm^{2}[/tex]

Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]

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Which is NOT a solution to the inequality below? 3x + 13≥ -8

Answers

x≥−7. hope this helps you good luck

Is this expression equivalent 20 divided by 5 and 5 divided by 20

Answers

Answer:

no. if you do 5 divided by 20 your answer will be negative

Step-by-step explanation:

HELP. No bots allowed.

Answers

Answer:

June, Mitchell and Nick are the ones who drew the line of symmetry correctly because if you were to cut that in half, both sides remain the same shape and size.  Stephanie, Liz, and Brandon are wrong because if you cut that you get different shapes and sizes, they will not be identical.

Answer:

June did

Step-by-step explanation:

Symmetry is when both side are the EXACT SAME!!! June is the only one who has done it correctly

can someone help me plz ​

Answers

Answer:

9442 lb

Step-by-step explanation:

First find the volume of the tank.  This being a sphere, the volume is V =(4/3)π·r³.  Here the diameter is 17 ft, so the radius, r, is half that:  8.5 ft.

Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.

Water weighs 62.4 lb/ft³.  To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:

×

(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb

What is the solution to the following equation? (4 points)

2(3x − 7) + 18 = 22

a
1

b
3

c
5

d
6

Answers

Answer:

Zoom it

mark me as brainliest

The answer is 3

Open the brackets:2(3x - 7)=6x -14

6x - 14 +18 =22

Take all the numbers to the other side

6x =22+14-18

6x =18

Divide by 6 kn both sides

x=3

pls tell me what is 10+10

Answers

Answer: it’s 20 hope this helps:)

Step-by-step explanation:

Answer

The answer is 20

Solve for all values of x: (x + 1)² + 9 = 0.

Answers

I hope this helps you out also , you should use MathPapa

what is the greatest common factor (GCF) of 88 and 132?

Answers

I’m pretty sure the gcf is 44
From my calculations I’m pretty sure it’s 44.

Find the area of the polygons

Answers

Answer:

Step-by-step explanation:

I just need help with these question

Answers

Answer:

No links sorry :<

Step-by-step explanation:

So what is it because I can’t see anything

Solve 6f-4g=1,6f-6g=5

Answers

Answer:

The solution is (-1/2, -2)

Step-by-step explanation:

Given 6f-4g=1,6f-6g=5, write these in columnar form:

6f-4g=1

6f-6g=5

Change all of the signs in the first equation:

-6f + 4g = -1

 6f-6g=5

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

     -2g = 4, and so g = -2

Substituting -2 for g in either equation enables us to find f.  Let's use the first equation:    6f - 4(-2) = 5 yields 6f + 8 = 5, or 6f = -3

Then f = -1/2 and g = -2.  The solution is (-1/2, -2)

Look at the expression below 7x11x13 How many factors does the product of the expression have?

ans 1) Exactly 3 factors
ans 2) Exactly 4 factors
ans 3) Exactly 5 factors
ans 4) More than 5 factors

Answers

Answer:

Exactly 3 factors

Step-by-step explanatin

The number 1001 is a composite number because 1001 can be divided by one, by itself and at least by 7, 11 and 13. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).

The factorization or decomposition of 1001 = 7•11•13. Notice that here, it is written in exponential form.

The prime factors of 1001 are 7, 11 and 13. It is the list of the integer's prime factors.

The number of prime factors of 1001 is 3.

i believe it’s answer 1, exactly 3 factors

someone please solve this question ​

Answers

Answer:

do you have what x and/or y equals

Step-by-step explanation:

Colton has math and reading homework tonight. Colton can solve each math problem
in 3 minutes and he can read each page in 1.5 minutes. The number of pages Colton
read is twice the number of math problems he solved, and it took him 54 minutes to
complete all of his homework. Determine the number of math problems Colton
solved and the number of pages he read.
Colton solved ____
math problems and read ____
pages.

Answers

Answer:

Colton solved 9 math problems and read 18 pages.

can someone help me with this pleaseee ill give you brainliest and points :)

Answers

Enter in order; 1800, 40, 2

Peter collects antique marbles. He has these two boxes full of marbles. Which box has the larger volume? How much larger is it?

Answers

Answer:

The one with marbles should have a larger volume because the box must be larger also.

Step-by-step explanation:

Three side lengths of a right triangle are given. Does it matter where you substitute the lengths in the Pythagorean Theorem? Explain.

Answers

the answer is b hope that helps!!

Tenemos 2 triangulos donde sus angulos mieden 46 y 66 respectivamente, y el lado adyacente a ellos mide 15cm, el criterio de congruencia es

Answers

Answer:

Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.

Step-by-step explanation:

Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.

What is the probability a customer ordered a small, given that he or she ordered a hot drink?

Answers

Answer:

i don no

Step-by-step explanation:

Simplify the expression below.

Answers

Answer:

y^2/4x^4

Step-by-step explanation:

It takes six analysts forty-two days to write a report. If the report had to be ready in 7 days, how many analysts would be needed?

Answers

If you assume doubling the workers will halve the time taken to finish then 12 analysts will take 21 days
To finish in 7 days (1/6 of 42 days) you would need 6 x the original number = 36 analysts.

Brook’s Law (see Wikipedia) suggests than adding extra analysts will actually slow the project down!
One reason is the extra people tend to get in each others way.

An easel with sides of equal length opened and placed on a desk. What type of triangle is formed by the easel and the desk by sides and by angles?

Answers

Answer:

isosceles right triangle

Step-by-step explanation:

In this question it is given that the two sides of easel are same.

A triangle formed has three sides - two of easel and one of the table itself.

The angle formed in 90 degrees (right angle)

Hence the triangle is a isosceles right triangle

the local market is selling a pound of bananas for $0.55. if you bought 8 bananas for $1.44, what is the unit rate?

Answers

Answer:

$0.18

Step-by-step explanation:

Given that :

Number of bananas purchased = 8

Cost at which the 8 bananas were purchased = $1.44

The unit price of bananas can be obtained using the relation :

Total Cost of bananas / number of bananas

Unit price = $1.44 / 8

Unit price = $0.18

Price per unit of banana = $0.18

What is the missing value?
54
30%
100%
?

Answers

89 is the missing value your welcome

Answer:

the missing value is 18.

Step-by-step explanation:

First i converted the percentage to a fraction which was 30% was 3/10 or 0.3 or 3 and 100% was 1 so i took those numbers with 54, 1, 3, and Solve for an unknown value x with this fractions calculator. Find the missing fraction variable in the proportion using cross multiplication to calculate the unknown variable x. Solve the proportion between 2 fractions and calculate the missing fraction variable in equal's.

For the equation

543=x1

The cross product is

54×1=3×x

Solving for x

x=54×13

and reducing

x=18

Solution by Proportion

Since the equation is an equality

If

3 ÷ 1 = 3

Then it is true that

54 ÷ x = 3

Solving for x

x = 54 ÷ 3

x = 18

75in, 60 in Pythagorean
What’s the missing leg?

Answers

Answer:

X = 45

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + a^2 = 75^2

3,600 + a^2 = 5,625

- 3,600            - 3,600

____________________

    a^2= 2025

square root them

a^2 = a

2025 = 45

so x =45

PLease Help asap !!!!!!!! plus brianliest

Answers

Answer:

100.000 liters of water would b your answer.

Step-by-step explanation:

if you round 103 to the nearest hundred you answer is 100 that how i got my answer 100.000

if g(x)=11x+3 find g(x+7) and g(x)+g(7).

Answers

Answer:

g(x + 7) = 11x + 80

g(x) + g(7) = 11x + 83

Step-by-step explanation:

g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80

g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83

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