Mr. Miller has a 20-foot ladder, which he
wants to reach 18 feet up the side of his
house. To the nearest foot, how far from the
base of the house should he place the
ladder?

Answers

Answer 1

Answer:

8 ft

Step-by-step explanation:

the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.

Solve for the base of the right angle triangle using pythagorean's theorem:

c=20, a=18, b=?

[tex]b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}[/tex]

[tex]b=\sqrt{72}[/tex]

[tex]b= 8.49 ft[/tex]

round to the nearest foot,

b = 8 ft


Related Questions

Tell whether the ordered pair (4, -2) is a solution to
2x - y > -5
y <-3x - 3

Answers

I don’t know the answer to this question but you can use this app it’s called Cymath, you write the problem out in there it’ll show you full steps and it’s also free no payment on it,

ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.

Answers

Answer:

8.50f + 3.00h = 24

Step-by-step explanation:

I've been struggling on this problem for a while I would realize like some help​

Answers

Answer:

situation 1 is (80%)

situation 2 is (95%)

situation 3 is  (33 1/3%)

situation 4 is (15%)

Do whatever u can no messing round plz

Answers

Answer:

1a. 5x+14

1b. 5x+14 < 65

1c. x=51/5

Step-by-step explanation:

What is the height of the flagpole?

A. 18ft
B. 676ft
C. 324ft
D. 24ft​

Answers

Answer:

C

Step-by-step explanation:

The height of flagpole is 24ft.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

Given;

Hypotenuse=26ft

Base=10ft

Now,

Hypotenuse^2=base^2+Height^2

26^2=10^2+h^2

676=100+h^2

576=h^2

h=24

Therefore, by Pythagoras theorem the height will be 24ft.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ5

Express z 1 = 17 [ cos ⁡ ( π ) + i sin ⁡ ( π ) ] z 1 ​ =17[cos(π)+isin(π)]z, start subscript, 1, end subscript, equals, 17, open bracket, cosine, left parenthesis, pi, right parenthesis, plus, i, sine, left parenthesis, pi, right parenthesis, close bracket in rectangular form. Express your answer in exact terms.

Answers

Answer:

z1 = -17 + 0i

Step-by-step explanation:

Given the complex number z1 ​ =17[cos(π)+isin(π)], we are to express it in rectangular form as shown;

Since cos(π) = -1 and sin(π) = 0, the equation becomes;

z1 ​ =17[cos(π)+isin(π)]

z1 ​ =17[(-1)+i(0)]

z1 = 17(-1 + 0i)

z1 = -17 + 0i

Hence the complex number in rectangular form is expressed as z1 = -17 + 0i

What is the difference?
(-4x + 3) - (7x - 3x2 - 1)

Answers

Answer:

-5x + 4

Step-by-step explanation:


What is the probability of NOT landing on CAT?

Answers

Answer:

I believe it would be A, 1/2

Kristin bought 8 books for a total of $238.60. Math books cost $29.60 and
English books cost $29.90. How many of each type of book did she buy?

Answers

Answer: 2 Math books and 6 English books

what is the percent of change from 4,000 to 7,000​

Answers

Answer:

(7000-4000) will make 4000x100 =

(7000:4000-1)x100 =

175-100 = 75

the percentage increase from 4000 to 7000 by 75%

Answer:

75%

Step-by-step explanation:

(7000-4000):400*100

(7000:4000-1)*100

175-100= 75

75%

Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest

Answers

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

please help!!! I'm really confused and it's due soon!​

Answers

Answer:

Step-by-step explanation:

1.A

2.C

3.D

4.C

5.B

6.D

if these are wrong just do the flipped sign version so that would be

1.B

2.D

3.C

4.D

5.A

6.C

what is square root 9/25 A.1/2 B.81/25 C. 18/25 D.3/5 answer asap

Answers

Answer:

0.6 or 3/5

Step-by-step explanation:

5x^2-2x=2
help plsmmm​

Answers

Answer:

Presumably you're solving for x here?  Without further information we'll assume that.

With that in mind, x is approximately equal to 0.86 and -0.46

Step-by-step explanation:

Let's start by putting it in the usual ax² + bx + c format.

[tex]5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\[/tex]

let's solve it.  First we'll multiply both sides by five, making the first term a perfect square:

[tex]25x^2 - 10x - 10 = 0\\[/tex]

Now we'll add 11 to both sides:

[tex]25x^2 - 10x + 1 = 11\\[/tex]

Which makes the left side a perfect square:

[tex](5x - 1)^2 = 11[/tex]

And now we can solve for x:

[tex](5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}[/tex]

Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.

That gives us two answers:

[tex]x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86[/tex]             [tex]x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46[/tex]

Madison is a high school basketball player. How many points would Madison score in a game if she made 8 free throws (worth one point each) and 6 three point shots? How many points would Madison score in a game if she made xx free throws and yy three point shots?

Answers

Answer: 26; 1x + 3y

Step-by-step explanation:

a. The number of points that Madison would score in a game if she made 8 free throws (worth one point each) and 6 three point shots would be:

= 8(1) + 6(3)

= 8 + 18

= 26 points

The number of points that Madison would score in a game if she made x free throws and y three point shots would be:

= 1(x) + 3(y)

= x + 3y

Answer:

26  and 1x+3y

Step-by-step explanation:

26  and 1x+3y

Sasha has a 35% off coupon. Her total before tax came to $23.00. How much did the item originally cost? (round to the nearest hundreds) PLS help!! (middle school and pls show work)

Answers

Answer:

The original cost of the product was $35.68.

Step-by-step explanation:

As Sasha has a discount coupon of 35%, the final amount that he will pay is 65% of the initial value of the product (100 - 35). Thus, 65% of the value is $ 23. Therefore, to determine the initial cost of the product, it is necessary to perform the following calculation:

65 = 23

100 = X

((100 x 23) / 65) = X

2,300 / 65 = X

35.68 = X

Therefore, the initial value of the product was $ 35.68.

PLEASE ANSWER! DOING A TEST!

Answers

Answer:

I believe its D

Step-by-step explanation:

its the same line just 10 units down, meaning it would be parallel and pass thru that point.

Answer:

I'm not supposed to help you if you are taking a test, but the answer would be letter D which is 1/2x

Step-by-step explanation:

Remember, parallel lines have the same slope. The only line that has the same slope as y = 1/2x + 10 is y = 1/2x

Hope this helps you ace the test!!! :)

Good luck!!!      

I’m really struggling on this question:
Expand the bracket
2x(11x+1)
If you could help I would really appreciate it :)

Answers

Answer:

The answer is =22x²+2x

Step-by-step explanation:

2x(11x+1)

=22x²+2x

There are 49 female performers in a dance recital. The ratio of men to women is 2:7. How many men are in the dance recital? There are men in the dance recital.

Answers

Answer:

Number of men= 13.99 = 14

Step-by-step explanation:

Giving the following information:

There are 49 female performers in a dance recital. The ratio of men to women is 2:7.

First, we determine the proportion of men to women:

Proportion men to women= 2/7= 0.2857

Now, we calculate the number of men in the show:

Number of men= 0.2857*49

Number of men= 13.99 = 14

4.) Aaron bought a new belt for school that was 30% off the regular price of $60. What was the

price of the belt?

A.) $18.00


B.) $42.00


C.) $60.00


D.) $78.00

Answers

A) 18

Apparently my answer has to be 20+ characters so this is filling space
the answer is A, remember to cross out answers that don’t make sense such as C and D.

Please help!!!!!!!!!!!!!!!!!

Answers

Answer: 5 up 10 over

Step-by-step explanation:

I had this on my quiz

150m - 125m + 43,200 = 45,675 - 200m
Please help!! What is the value of m ?

Answers

first you combine like terms

25m + 43,200 = 45,675 - 200m

then you add 200m to both sides

225m + 43,200 = 45,675

then you subtract 43,200 from both sides

225m = 2,475

then you divide both sides by 225

m = 11

Convert into vertex form. Give the vertex.
y = 3x² – 24x + 46

Answers

Here you go! Hope this helps!!!

Answer:

Vertex form: [tex]y = 3(x - 4)^2 - 2[/tex]

Vertex: (4, -2)

Step-by-step explanation:

Hello!

We have to complete the square, and then simplify.

Solve:[tex]y = 3x^2 - 24x + 46[/tex][tex]y = 3(x^2 - 8x) + 46[/tex]
Take the coefficient of the second term, divide it by 2, and square it.[tex]y = 3(x^2 - 8x + 16) + 46 - 3(16)[/tex]
Balance your equation by subtracting what you added. Simplify.[tex]y = 3(x - 4)^2 - 2[/tex]

The equation in vertex form is [tex]y = 3(x - 4)^2 - 2[/tex]

The vertex is (4,-2)

Vertex form

Vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.

PLEASE HELP! WHOEVER ANSWERS FIRST GETS BRAINLIEST !! The height in feet above the ground of an arrow after it is shot can be modeled
by y = -16(t - 2)^2 + 68. Over what interval is the arrow increasing in height? *

Answers

Answer:

The answer is 4.06155281

Step-by-step explanation:

please help , would be greatly appreciated !

Answers

Answer:

x = 2

y = -1

Step-by-step explanation:

8x + 2y = 14

2x + y = 3

In order to find the number x represents, you have to make the number of y for both equations the same. So:

8x + 2y = 14

(×2) 4x + 2y = 6 (×2)

Then, you can cancel the y off both equations, which will leave:

8x = 14

4x = 6

To find 4x, you have to find the difference between both equations, so you have to:

14 - 6 = 8

Now that the actual number 4x represents is 8, so:

4x = 8

(÷4) x = 2 (÷4)

Now to find y, substitute the letter x with 2:

2x + y = 3

2 (2) + y = 3

4 + y = 3

4 - 3 = -y

1 = -y

(× -) -1 = y (× -)

Answer: x = 2

              y = -1

Hope this helps!  :)

(NOTE: Do you mind marking me as Brainliest?)

7th grade math help me pleaseee :)

Answers

Answer:

answer of 2a)

He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then

24–16=a

His new account balance is $8.

He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then

8+b=28

His deposited $20 in his account.

He has $28 and spent $34. Let c represent his account balance after he bought the book. Then

28–34=c

His new account balance is -$6.

He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then

−6+d=0

He deposited $6.

answer of 2b)

If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.

please give me brainliest:))

I will give you brainlest plzzzz helppp!!!

Answers

Answer:

The measure of angle Q is 133 degrees

Step-by-step explanation:

(x + 13) + (10x + 13) + (2x - 2) = 180 //There are 180 degrees in a triangle

x + 13 + 10x + 13 + 2x - 2 = 180 //Remove parentheses

13x + 24 = 180 //Combine like terms

13x = 156 //Subtract 24 from each side

x = 12 //Divide to get value of x

10(12) + 13 = Measure of angle Q //We know Q is 10x + 13, since we know what x is 12 from the previous step we'll substitute x for 12

120 + 13 = Measure of angle Q //Multiple 10 and 12

133 = Measure of angle Q

Solve for x. The answer needs to be simplified: 2x<15

Answers

Answer:

x < 15/2

Step-by-step explanation:

Step 1: Divide both sides by 2.

2x/2 < 15/2

x < 15/2

Im confused on this:

Evaluate: 4+8÷2x (6-3)

Answers

Answer:

hello there

ok so the answer is 4 + [tex]\frac{4}{3x}[/tex]

Step-by-step explanation:

hope this helps!

Answer:

12x+4

Step-by-step explanation:

We can solve this by using PEMDAS (parentheses exponents multiplication division addition subtraction) to solve this in the correct order:

4+8÷2x (6-3)

So first we solve (6-3) since it’s in parentheses:

4+8÷2x (3)

Now we multiply 3 times 8/2x:

4+8/2x(3)

4+12x

(Put in order)

12x+4

And that^ is the answer because we cannot simplify any further!

Hope this helps :)

what is the slope of the graph?

Answers

Answer:

4 over 1 is the slope. of this table

Answer:

4

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

(0, 6)

(- 1, 2)

m = [tex]\frac{2-6}{-1-0}[/tex] = 4

y = 4x + 6

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