A 12 foot ladder is set up 5 feet from the base of a building.How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot

Answers

Answer 1

Answer:

about 10.9 feet

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex] {h}^{2} + {5}^{2} = {12}^{2} [/tex]

[tex] {h}^{2} + 25 = 144[/tex]

[tex] {h}^{2} = 119[/tex]

[tex]h = 10.9[/tex]


Related Questions

Find the volume of the spear. Give your answer to the nearest cubic unit. 5mm

Answers

Answer:

We know,

[tex]\:\sf{Volume\:of\:sphere\:=\:\frac{4}{3}πr³}[/tex]

Here,

Given :-

[tex]\:\mathsf{radius\:=\:5mm}[/tex]

Solution :-

Now,

Volume of sphere = [tex]\:\mathsf{\frac{4}{3}\:πr³}[/tex]

=> [tex]\:\mathsf{\frac{4}{3}\:×\frac{22}{7}\:×(5)³}[/tex]

We got,

Volume of sphere = 523.809

Therefore you can say that option B. 524 mm³ is the correct answer for this question.

Hope this helps!

Answer:

b. 524 mm³

Step-by-step explanation:

Volume of the sphere

V = 4/3πr³

Here, the radius (r) is 5 mm.

Solving

V = 4/3 x 3.14 x 5³V = 4/3 x 3.14 x 125V = 4/3 x 392.5V = 524 mm³

f(x) = 32
g(x) = 5x + 2
Find
(1) (a). Include any restrictions on the domain.
O A.
---
+2
3.
5.1+
33
A. A
(1) (a) = 5, 2 > 0
B. (1) (z) = 72,2 +0
c. (1) (a) = 1,2+ -
OD (1) (a) = 4+1
--
52
522)

Answers

B? If you need any help please ask me

Today, Nate has 100100100 bananas. He will eat 222 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Answer:

choice B- no

Step-by-step explanation:

We have been given that Nate has 100 bananas. He will eat 2 of them every day.

Let x represent number of days. So bananas eaten in x days would be .

Total number of bananas, y, left after x days would be

We know that two proportional quantities are in form , where, k is constant of proportionality.

Since our equation is not in form , therefore, number of bananas Nate has left is not proportional to the number of days that pass.

solve using the square root method

Answers

Answer:

x = 5

Step-by-step explanation:

5(x-3)^2 - 20 = 0 we can find the value of x by sorting out the number one by one and leaving x alone on one side:

5(x-3)^2 = 20 (transfering 20 to the right side of the equation)(x-3)^2 = 20/5 and that is equal to 4, now find the root for both sides x-3  = 2 add 3 to both sidesx = 5

What is the median of this data set?


{43, 42, 43, 37, 38, 36, 39}


Enter your answer in the box

Answers

Answer:

39

Step-by-step explanation:

1- Put your numbers in acending order

2- cross out the first number and the last number until you are in the middle number

3- the number is 39

Answer: 39

Step-by-step explanation: I took the quiz myself and that was the answer.

What is the mean, median, and mode for 5, 18, 36, 13, 5, 3, 7, 17

Answers

Answer:

mean = Efm÷N

Step-by-step explanation:

mark me as brainlist

Gabrielle's age is three times Mikhail's age. The sum of their ages is 20. What is Mikhail's age?

Answers

Answer:

Mikhail is 5 years old

Step-by-step explanation:

Represent each member with a variable.

X= Gabrille

Y=Mikhail

X+Y=20 (sum of their ages is 20)

X=3y (Gabrille is 3 times Mikhails age)

Substitute 3Y into the first equation (simultaneous equation)

. 3y+y=20

. 4y=20 (divide both sides by 4)

y=5

To check your answer.

X+5=20

X=20-5

X=15

15 is 5 times 3.

You can convert this problem into an equation.
3x + x = 20
When simplified, the problem is 4x = 20
You can easily solve for x, which is 5.
Mikhail’s age is 5 years old.
Can I have brainliest?

help me i dont really understand

Answers

Answer:

73

Step-by-step explanation:

12(6) + 1/4 • 2^2

Square the 2 first.

12(6) + 1/4 • 4

Then multiply from left to right.

72 + 1

Lastly, add.

73

The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.

5. John and Alice are going to visit their friends in Chicago. They need to exchange their
Canadian money (CAD) to American money (USD). Alice goes to the bank and asks for $300
USD. They charge her $400 CAD. John goes to the bank on the same day and asks for $175
USD. Assuming that he gets the same exchange rate, how much do they charge him in
Canadian dollars?

Answers

Answer:

$233.33

Step-by-step explanation:

I will use the is/of method

[tex]\frac{300}{400}[/tex]=[tex]\frac{175}{?}[/tex]

175*400=70,000

70,000/300=233.33

Find the surface area of the pyramid shown to the nearest whole number. 5ft 5ft 6ft - Not drawn to scale

Answers

Answer:

85 ft^2

Step-by-step explanation:

Base = 5 x 5 = 25 ft^2

FOUR triangles   4  *   1/2 * b * h  = 4 * 1/2 * 5 * 6 = 60 ft^2

added together = 85 ft^2

The scores on a standardized exam are normally distributed with a mean of 400 and a standard deviation of 50.

Approximately 40% of the scores are greater than which score?

370

387

413

430

Answers

Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation of the scores are given by:

[tex]\mu = 400, \sigma = 50[/tex]

Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.253 = \frac{X - 400}{50}[/tex]

X - 400 = 50(0.253)

X = 412.65.

Rounding up, approximately 40% of the scores are greater than 413.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

413

Step-by-step explanation:

I took the test k12

What is the image point of (0, 9) after a translation left 1 unit and down 2 units?

Answers

Answer:

(- 1, 7 )

Step-by-step explanation:

a translation left of 1 unit means to subtract 1 from the x- coordinate.

a translation down of 2 units means to subtract 2 from the y- coordinate.

(0, 9 ) → (0 - 1, 9 - 2 ) → (- 1, 7 )

Which graph represents y as a function of X?
A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

Vertical line test. Draw vertical lines (you don't have to actually draw them, imagine them) across the relation. If any line intersects two portions of the relation, it is not a function.

Find the surface area of the cylinder (please help)

Answers

Answer:

surface area we can also take it as total surface area

9 is the radius and 5cm is the height . as they asked total surface area we have to take the area of base so tht we can make it as

total surface area = csa of cylinder + area of base

we know that,

2pirh+pir²

pir(2h+r)

pir(2×5+9)

pir(10+9)

pir(19)

22/7×9×19

3762/7

=> 537.42 cm² is the answer.

2πr²+2πrh

Step-by-step explanation:

2/1*22/7*9/1*9/1+2*22/7*5/1*9/1

2*22*9+2*22*5*9

369+990

answer= 1359

12. Ms. Hall wants to buy 2 pairs of shoes. It was buy one at original price of $70 and get one 25% off. How much will Ms. Hall pay for her shoes?

Answers

Answer:

17.50

Step-by-step explanation:

How can you write
10/3
as a division
expression and as a mixed number?

Answers

Answer:

Division: 10 ÷ 3

Mixed Number 3 and 1/3

Answer:

10/3 in a mixed fraction is 3 1/3.

Let us convert the improper fraction to a mixed number.

Step-by-step explanation:

Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.

And we keep the quotient part as separate

The quotient of 10 divided by 3 is 3

While the remainder of 10 divided by 3 is 1

The mixed number is written as Quotient (Remainder/Divisor), i.e., 3 1/3

Thus, 10/3 in a mixed fraction is 3 1/3.

simplify square root of m over square root of 9n^3

Answers

Answer:

⁴root(9m²n/3n)

Step-by-step explanation:

just simplify the like terms

1. A toy company finds there is a linear relationship between p, the price they charge for a playground ball, and n(p), the number of balls they sell during a year. When they charge $3, they sell 8000 balls during the year. However, sales drop to 5200 balls when they charge $5 each.
a. Write an equation for the linear function n(p).
b. Use your function to determine the number of balls they can expect to sell during the year if they charge $6.50 for a ball.

Answers

Answer:

Below in bold.

Step-by-step explanation:

The general form of a linear function can be written as:

n(p) = kp + C      where k and C are constants.

So substituting the given data:

8000 = 3k + C

5200 = 5k + C    Subtract

2800 = -2k

k = -1400

and C = 8000 - 3(-1400) = 12200

a. So the equations is:

n(p) = -1400p + 12200

b.

For a charge p of $6.50;

n(p)  = -1400*6.5 + 12200

= 3100 balls.

composite figure pls help​

Answers

Answer:

Step-by-step explanation:

divide the figure into 2 rectangle the one on top and bottom. Th one on top's dimensions would be length = 9 width = 3.

the bottom rectangles dimensions would be length = 5 (because 9-4) and width would be 3 (because 6-3)

so top rectangle : 9*3 = 27

bottom rectangle: 5*3 = 15

27+15 = 42

Answer:

[tex]A_{total} = 42\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the left rectangle

[tex]A = l * w[/tex]

[tex]A = 6\ cm * (9\ cm - 4\ cm)[/tex]

[tex]A = 6\ cm * 5\ cm[/tex]

[tex]A = 30\ cm^2[/tex]

Step 2:  Determine the area of the right rectangle

[tex]A = l * w[/tex]

[tex]A = 4\ cm * 3\ cm[/tex]

[tex]A = 12\ cm^2[/tex]

Step 3:  Determine the total area

[tex]A_{total} = 30\ cm^2 + 12\ cm^2[/tex]

[tex]A_{total} = 42\ cm^2[/tex]

Answer: [tex]A_{total} = 42\ cm^2[/tex]


what percent of the data is to the right of the mean in a normal curve?

Answers

Answer:

E. not enough info given

Step-by-step explanation:

If you were talking about the median, it is 50%

Choose all expressions that are
equivalent
1 (y + x)
x+y
x-y
0 (y + x)
0 + (y + x)

Answers

Answer:

1 (y + x)

(x + y)

Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t


Find the theoretical and practical domains of the equation.

Select ALL correct answers.

Question 4 options:

The practical domain is all real numbers.


The theoretical domain is all real numbers.


The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.


The practical domain is all real numbers greater than or equal to one and less than or equal to two.

Answers

The theoretical domain is all real numbers greater than or equal to one and less than or equal to two. Then the correct option is C.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

Kellen runs for at least 1 hour but for no more than 2 hours. He runs at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d = 6.6t

Then the domain of the function d will be a real number.

But in the problem, the value of t is more than or equal to one but less than or equal to two.

1 ≤ t ≤ 2

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. let a be the event that the person has gone surfing, and let b be the event that the person has gone snowboarding. a 4-column table has 3 rows. the first column has entries has surfed, never surfed, total. the second column is labeled has snowboarded with entries 36, 12, 48. the third column is labeled never snowboarded with entries 189, 63, 252. the fourth column is labeled total with entries 225, 75, 300. which statement is true about whether a and b are independent events? a and b are independent events because p(a∣b) = p(a) = 0.16. a and b are independent events because p(a∣b) = p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.16 and p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.75 and p(a) = 0.16.

Answers

Using the concept of independent events, it is found that the correct statement is:

a and b are independent events because p(a∣b) = p(a) = 0.75.

When are two events independent?


Two events, A and B, are independent if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, the events are:

Event A: Surfing.Event B: Snowboarding.

In this problem, out of 300 students, 225 have surfed, hence:

[tex]P(A) = \frac{225}{300} = 0.75[/tex]

48 have gone snowboarding, hence:

[tex]P(B) = \frac{48}{300} = 0.16[/tex]

36 have done both, hence:

[tex]P(A \cap B) = \frac{36}{300} = 0.12[/tex]

The multiplication is:

P(A)P(B) = 0.75 x 0.16 = 0.12.

That is, the probability of A given B is P(A|B) = P(A) = 0.75, hence they are independent.

More can be learned about independent events at https://brainly.com/question/14478923

Answer:

the answer is B

Step-by-step explanation:

What is the circumference in centimeters the circle is 24 centemeters in diamater

Answers

Answer:

75.398 cm to the nearest thousandth.

Step-by-step explanation:

Circumference = π * diemeter

= 24π

= 75.3982 cm

Yo I need to bring up my math grade bad so
find the perimeter of the triangle
5ft. 12ft. (that's all )
please show step by step

Answers

Answer:

Step-by-step explanation:

Triangle - 3 sides

Perimeter - Add

5ft + 12ft = 17ft

5. Find m< BOC

please help

Answers

Answer: 110 degrees

Step-by-step explanation:

A 9-pound bag of sugar is being spilt into containers that hold 2/3 of a pound. How many containers of sugar will the 9-pound bag fill?

Answers

in essence, how many times does 2/3 go into 9?  well, is just a division, so

[tex]9\div \cfrac{2}{3}\implies \cfrac{9}{1}\div \cfrac{2}{3}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}\implies 13\frac{1}{2}[/tex]

please help me with the question​

Answers

Answer: A

Step-by-step explanation:

The answer to this system of equations is (0,4)


Probability can be expressed as either a decimal, a percentage or a fraction. But no
matter what form it takes, it means the same thing, 1/10, 0.1 and 10% are all different ways
of expressing the same probability.
An easy way to convert a percentage to a fraction is to put the number of the percentage
over 100 and then simplify, for example, 75% is the same as 75/100, or 3/4 The first two
places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is
equal to 30%
Al
E
SI
Which probability is equal to 25%?
A
5/100
B
1/4
С
25/1
D
4/5

Answers

Answer:

B. 1/4

Step-by-step explanation:

The easiest way to find the answer here is to (if you have one) use a calculator to divide each fraction.

When divided 1/4, you get .25, and as the explanation says, "The first two places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is equal to 30%."

So, moving the decimal to the right two times will give you your probability of 25%.

Hope this helps :)

Find x, y, and z. Please Show work how you did!

Answers

Answer:

y=36,x=108,z=30

Step-by-step explanation:

1)180°=72°+(3y)°

=>(3y)°=180°-72°

=>(3y)°=108°

=>3y=108

=>y=36

2)(x)°=(3y)°=>x=108

3)(3z+18)°=108°=>3z+18=108=>3z=90=>z=30

Answer:

x = 108

y = 36

z = 30

Step-by-step explanation:

(x)° + 72° = 180° (interior angles on the same side of transversal)

-> (x)° = 180 - 72°

-> (x)° = 108°

-> x = 108

(3y)° = (x)° (corresponding angles)

-> 3y = x

-> 3y = 108

-> y = 108/3

-> y = 36

(3z + 18)° = (x)° (corresponding angles)

-> 3z + 18 = x

-> 3z + 18 = 108 - 18

-> 3z = 108 - 18

-> 3z = 90

-> z = 90/3

-> z = 30

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