Mathematics High School

A 13 foot ladder is leaning against a wall. If the point where the ladder meets the wall is 12 feet above the ground, how far from the base of the wall is the the ladder?
A) 1 foot
B) 2 feet
C) 5 feet
D) 22 feet

Answers

Answer 1
The answer is: 

5 feet.

Related Questions

The area of a trapezoid is given by the formula A =1/2 (b 1 + b 2)h, where base b 1 is parallel to base b 2 and h is the height. Solve the formula for b 2. Show your work.

Answers

The answer is b2 = 2A/h - b1

A = 1/2(b1 + b2)h

Multiply both sides by 2:
2 * A = 2 * 1/2(b1 + b2)h
2A = (b1 + b2)h

Divide both sides by h:
2A/h = (b1 + b2)h/h
2A/h = b1 + b2

Subtract b1 from both sides:
2A/h - b1 = b1 + b2 - b1
2A/h - b1 = b2


Tess has 2 1/2 cups of fruit. how many 3/4 cup servings can she make?

Answers

only 3 full servings.

525.4 is 74% of what number

Answers

Let, that number = x
It would be: x * 0.74 = 525.4
x = 525.4 / 0.74
x = 710

So, the number would be 710

Hope this helps!

Molly's basic cell phone plan charges $35.99 for service plus $0.21 per minute beyond the included 250 minutes in the plan. How much will it cost if she used her cell phone for 480 minutes in one month? ...?

Answers

The answer is $84.29

Let the number of minutes be x.
$35.99 is fixed price and does not depend on the number of minutes x. Each minute costs $0.21 so it depends on x and we have 0.21x in the function. However, 250 minutes are already included and should not be included in x. Therefore, the function that represents the monthly cost looks like this:
f(x) = 35.99 + 0.21 * (x - 250)

Now, let's calculate for x = 480 minutes:
f(480) = 35.99 + 0.21 * (480 - 250)
f(480) = 35.99 + 0.21 * 230
f(480) = 35.99 + 48.30
f(480) = 84.29

The discriminant of a quadratic equation is negative. One solution is 3+4i . What is the other solution?
A.4-3i
B.3-4i
C.4+3i
D.-3+4i

Answers

I hope this helps you



3-4i
The way you stated the problem, there is an infinity of possibilities for the other solution. 

► For instance, the quadratic equation: 
   x² – (6 + 4i)x + (9 + 12i) = 0 
has for discriminant: 
   Δ = (6 + 4i)² – 4(9 + 12i) = 36 – 16 + 48i – 36 – 48i = -16 
which is indeed negative. 
Its solutions will then be: 
   x₁ = [(6 + 4i) + 4i]/2 = 3 + 4i 
   x₂ = [(6 + 4i) – 4i]/2 = 3 
And the other solution here is 3. 

► If you are not convinced, the quadratic equation: 
   x² – (6 + 5i)x + (5 + 15i) = 0 
has for discriminant: 
   Δ = (6 + 5i)² – 4(5 + 15i) = 36 – 25 + 60i – 20 – 60i = -9 
which is indeed negative. 
Its solutions will then be: 
   x₁ = [(6 + 5i) + 3i]/2 = 3 + 4i 
   x₂ = [(6 + 5i) – 3i]/2 = 3 + i 
And the other solution here is 3+i. 

► In fact, every quadratic equation of the form: 
   x² – [6 + (4 + α)i]x + (3 + 4i)(3 + αi) = 0 
where α is any real, has for discriminant: 
   Δ = [6 + (4 + α)i]² – 4(3 + 4i)(3 + αi) 
      = 36 – (4 + α)² + 12(4 + α)i – 36 + 16α – 12(4 + α)i 
      = 16α – (4 + α)² 
      = 16α – 16 – 8α – α² 
      = -16 + 8α – α² 
      = -(α – 4)² 
WILL be negative. 
Their solutions will then be: 
   x₁ = [ [6 + (4 + α)i] – (α – 4)i ]/2 = 3 + 4i 
   x₂ = [ [6 + (4 + α)i] + (α – 4)i ]/2 = 3 + αi 
And the other solution will then be is 3+αi. 

Since α can take any real value, you'll obtain an infinity of solutions of the form 3+αi. 

► So conclusively: 
If the discriminant of a quadratic is negative AND one of the solutions is 3+4i, the only thing we can say about the other solution is that its real part must be 3. 

Simplify 7x 7 6x - 9.

Answers

7x + 7 + 6x - 9 =13x - 2

Answer:

[tex]13x -2[/tex]

Step-by-step explanation:

7x +7+6x - 9

simplify the given expression

To simplify the given expression we add like terms

the terms that as same variables with same exponent are like terms

7x and 6x are like terms

7x + 6x = 13x

+7 -9 = -2

So expression becomes [tex]13x -2[/tex]

How many faces does a rectangle have?

Answers

4 because it has four sides
Would you many rectangular prism?
If so it would be 6 just like a cube

Multiply (2 – 7i)(9 + 5i)

Answers

Final answer:

To multiply complex numbers, use the distributive property and combine like terms.

Explanation:

To multiply (2 - 7i)(9 + 5i), you can use the distributive property. Multiply the first terms, then multiply the outer terms, the inner terms, and finally the last terms. Then combine the like terms and simplify.

(2 - 7i)(9 + 5i) = 2 * 9 + 2 * 5i - 7i * 9 - 7i * 5i

= 18 + 10i - 63i - 35i²

= 18 + 10i - 63i + 35

= 53 - 53i

So, (2 - 7i)(9 + 5i) = 53 - 53i

2x -3 =6

Value of x

Help_

Answers

2x - 3 = 6
2x = 6 + 3
2x = 9
x = 9/2
x = 4.5

The value of x is 4.5
Add 3 to both sides 

[tex]2x=6+3 [/tex] 

Simplify 6+3 to 9 

[tex]2x=9[/tex] 

Divide both sides by 2

[tex]x=9/2[/tex]

2x + 7y + 3x − 4y simplify

Answers

5x+11y would be a solution
2x+3x+7y-4y
X(2+3)+y(7-4)
X.5+y.3
5x+3y

Jill Barkely obtained a 25-year, $460,000 mortgage loan from University Savings and Loan Association with 6% interest. The monthly payment is $2,962.40. For the first payment, find the interest to the nearest cent.

Answers

Have you considered calculating it directly? $2,962.40*(0.06/12)
If you do that then your answer would be 14.81...
Hope this helps...  :)

On a certain day, the company took 88 people on whale watching trips. There were 44 children aged twelve and under, of which some children were under three years. If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day?


(44 + x)35 + (88 – (44 + x)) ∙ 46 = C

(88 - x)35 + (88 – 44) ∙ 46 = C

(44 – x)35 + (88 – 44) ∙ 46 = C

(88 + x)35 + (88 – (44 + x)) ∙ 46 = C
Please explain why? ...?

Answers

Answer with explanation:

Total number of People who were on Whale Watching Trip =88 People

Number of People (Children ) who was 12 and under ,and some children who were under three years old=44

Number of three year and less old Children = x

Amount of Money charged for three year and less= $ 0

Amount Charged for  Children who were above 12 years and less than or equal to 3 years=(44-x) = $ 35

Total Number of Adults =88-44

Amount charged for each Adult = $46

Total amount of money collected from tickets on that day=$ C

Writing the Above Statements in terms of Equation

⇒ (44 -x)×35+(88-44)×46=C

Option C

The equation to find the number of children under three years of age during a whale watching trip is (44 - x)35 + (44)46 = C, accounting for different ticket costs for children and adults.

The correct equation to find the value of x, which represents the number of children under three years, is (44 - x)35 + (88 - 44) \46 = C. This equation takes into account the cost of tickets for the children under three and those above three but under thirteen, as well as adults and older children, given that the cost of tickets might be different.

To explain, the total number of children is 44, and if we subtract the number of children under three (x), we have the number of children between the ages of four and twelve left.

We multiply this number by the ticket price for children in this age group, which is $35. The remaining passengers are adults, totaling 88 passengers minus the 44 children, which gives us the number of adult tickets sold. This number is then multiplied by the adult ticket price, which is $46. Finally, the sum of these two products gives us the total amount of money collected, C.

What conditions give 2 roots, one root and no root?

Answers

The discriminant D is found by this formula

D = b^2 - 4ac

there are 3 possible outcomes

1) If D is smaller than 0, ie D < 0, then there are no roots

2) If D is equal to zero (D = 0), then there is exactly one root. This root is rational assuming the coefficients are integers. This is called a double root

3) If D > 0, then there are 2 different roots. If D is a perfect square, then these two roots are rational numbers (aka fractions of whole numbers) assuming the coefficients are integers. If D is not a perfect square, then the two roots are irrational numbers. 

A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)

Answers

To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.

=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)

=0.132 
Final answer:

To find the probability that at least 8 of the words on a 10-word test are known by a student, calculate the probabilities for exactly 8, 9, and 10 known words and sum them. Use combinations to determine the probabilities and round the final answer to three decimal places.

Explanation:

The student knows 16 words out of 26, and the test contains 10 words. To find the probability that at least 8 out of 10 words on the test are known to the student, we need to calculate the probability for exactly 8, 9, and 10 known words, using combinations, and then sum these probabilities.

Let's denote K as knowing the word and N as not knowing the word. The total number of ways to choose 10 words out of 26 is given by 26 choose 10, denoted as C(26,10).

The probability of getting exactly 8 known words is given by (C(16,8) * C(10,2)) / C(26,10).

The probability of getting exactly 9 known words is (C(16,9) * C(10,1)) / C(26,10).

The probability of getting all 10 known words is (C(16,10) * C(10,0)) / C(26,10).

We add these probabilities together to get the total probability that the student knows at least 8 out of 10 words:


 P(8 known words) = (C(16,8) * C(10,2)) / C(26,10)
 P(9 known words) = (C(16,9) * C(10,1)) / C(26,10)
 P(10 known words) = (C(16,10) * C(10,0)) / C(26,10)

We sum these individual probabilities to obtain the final answer. The result should be rounded to three decimal places as per the instructions given in the question.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ2

An isosceles trapezoid has shorter base of measure a, longer base of measure c, and congruent legs of measure b. The perimeter of the trapezoid is 58 inches. The average of the bases is 19 inches and the longer base is twice the leg plus 7. Find the lengths of the sides.

Answers

Perimeter of the trapezoid = a + c + 2b
58 = a + c + 2b

Average of bases = (a + c)/2
19 = (a + c)/2
a + c = 38
Substituting (a + c) into the first equation:

58 = 38 + 2b
b = 10 in

We also know that:
c = 2b + 7
c = 2(10) + 7
c = 27 in

a + 27 = 38
a = 11 in

a = 11 in; b = 10 in; c = 27 in

An angle measures 41 degrees. What is the measure of its complement?

Answers

This angle is called and acute angle.
Hope This Helps!!
:)
49 is the answerfawertgsdrgeatat4w3

If 4(x-2/3)=-18, what is the value of 2x?

Answers

4(x-2/3) = -18
4x - 8/3 = -18
4x = -54/3 + 8/3
4x = -46/3
x = -46/3 * 1/4
x = -46/12
x = -23/2

2x = -23/2 * 2
2x = -46/2
2x = -23

A customer is withdrawing $890 and wants as many $50 bills as possible. How many $50 bills should the Teller give her?

Answers

HE WILL BE NEEDING 18 BILLS

890/50=17.8..How many $50 bills should the Teller give her? 17

A graduate student is studying bacteria known to have a growth rate of 15% per day. If the population of a bacterial sample is currently 29,000 bacteria, then how many bacteria will there be in 3 days?

Answers

Final answer:

The population of bacteria in 3 days will be approximately 44,503 bacteria.

Explanation:

To calculate the future population of bacteria, we can use the formula P = P0(1+r)t, where P0 is the initial population, r is the growth rate, and t is the time in days. In this case, P0 is 29,000 bacteria, r is 15% or 0.15, and t is 3 days. Plugging in these values, we get:

P = 29000(1+0.15)3

Calculating this expression, we find that P is approximately 44,503 bacteria

Final answer:

The population of bacteria will be approximately 44,076 in 3 days, given an initial population of 29,000 and a growth rate of 15% per day.

Explanation:

To calculate the population of bacteria in 3 days, we need to use the formula:

P = P0 * (1 + r)^t

Where P is the final population, P0 is the initial population, r is the growth rate per day (expressed as a decimal), and t is the time in days.

In this case, the initial population is 29,000 and the growth rate is 15% per day (0.15). Plugging these values into the formula, we get:

P = 29,000 * (1 + 0.15)³

Simplifying the equation gives:

P = 29,000 * 1.15³

P = 29,000 * 1.520875

P ≈ 44,076

Therefore, there will be approximately 44,076 bacteria in 3 days.

23 + 45 - 48 + 34 * x = 292


What does x equal

Answers

Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8
Simplifying
23 + 45 + -48 + 34x = 292

Combine like terms: 23 + 45 = 68
68 + -48 + 34x = 292

Combine like terms: 68 + -48 = 20
20 + 34x = 292

Solving
20 + 34x = 292

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right

Add '-20' to each side of the equation.
20 + -20 + 34x = 292 + -20

Combine like terms: 20 + -20 = 0
0 + 34x = 292 + -20
34x = 292 + -20

Combine like terms:
292 + -20 = 272 34x = 272

Divide each side by '34'.
x = 8

Simplifying x = 8

Hope it helped : )

Mr. jones has agreed to borrow $3500 for one year st 10% interest. what is the total amount he will pay back to the bank?

Answers

$ 3500 × 10 /100 × 1 = $ 3850

The total amount Mr. Jones will pay back after borrowing $3500 for a year at 10% interest rate is $3850, simply add the interest to the principal amount borrowed.

Mr. Jones borrowed $3500 for one year at 10% interest rate. The total amount he will pay back to the bank can be calculated as follows:

Interest = Principal x Rate = $3500 x 0.10 = $350

Total amount to be paid back = Principal + Interest = $3500 + $350 = $3850

There are ten shirts in your closet, four blue, three green, and three red. You randomly select a different shirt each day. You wear a blue shirt Monday, Tuesday, and Wednesday.

Answers

It's a probability problem to find the odds of picking a green or red shirt out of the 10 shirts on Thursday, Friday and Saturday since you have randomly already know you have picked a blue shirt on the other days. Not sure if you have this as a multiple question problem as you didn't list any possible answers (A. 7/20, B. 5/47, C. 2/5, D. 4/125) to the question. A, B, C, D being like 7 chances out of 20, 5 chances out 47, 2 chances out of chances 5 or 4 chances out of 125 (example answers only).

Probability = Number favorable outcomes / total number of outcomes





If you're asking for the probability of drawing said shirt colors on said days:
Assuming there's no replacement (because clothes), the answer would be:
(2/5)•(1/3)•(1/4), which equals 2/60, or 1/30.
The reason:
On Monday, there are 10 shirts, 4 of them blue. So, your chances are 4 out of 10, or 4/10, which reduces to 2/5.
On Tuesday, there are 9 shirts left, 3 of them blue. So, 3/9, or 1/3.
On Wednesday, there are 8 shirts, 2 of them blue. So, 2/8, or 1/4.
You multiply all the fractions together (which is why simplifying helps A TON)
Hope this helps! And sorry about not answering sooner!

A sneaker store salesman had $4,125 in total monthly sales last month. he made $165 in commission from those sales. what is the salesman's commission as a percent of his total monthly sales?

Answers

He made [tex]\frac{165}{4125}[/tex] as a commission. To turn that into a percentage, you need to make the bottom become 100. Multiply the top and bottom by [tex]\frac{100}{4125}[/tex] to get the proper fraction. The fraction now is [tex]\frac{\frac{16500}{4125}}{100}[/tex] This simplifies to [tex]\frac{4}{100}[/tex]. Now all you need to do is take the top of that fraction to get the percentage, which is 4%.

4%

Will upvote!

I just need two or three points on the graph

Graph ​ −7y+8=21x−6

Answers

-7y+8=21x-6 -7y=21x-14 y=-3x+2 y=-3(0)+2=2 (0,2) y=-3(1)+2=-1 (1,-1) y=-3(2)+2=-4 (2,-4)

Jina's earnings vary directly with the number of hours she works. Suppose that she worked 8 hours yesterday and earned $88 . How much will she earn today if she works 11 hours?

Answers

8 hours $88.
1 hours $11.
11 hours $121.

How many times does 6 go into 87?

Answers

87 ÷ 6
8 ÷ 6 = 1 (remainder 2)
27 ÷ 6 = 4 (remainder 3)
30 ÷ 6 = 5
So it goes in 14 times, but exactly 14.5 times if you want a decimal.

What are the coordinates of the focus of the conic section shown below?

y^2-4x+4y-4=0



...?

Answers

the answer is 
y^2-4x+4y-4=y^2+4y-4x-4=(y+2)²-4x - 8= 0
it is the same of    x + 2 = (1/4 ) (y+2)²
   
the main formula is  x-h= a (y-k)² so h=-2, k= - 2 and a=1/4

Answer:

(-1,-2) is the correct answer

Step-by-step explanation:

Find the slope the line that contains (2,4) and (4,4)

Answers

4+4/4+2    =4/3 ...The answer is this 
Slope between points (x,y) and (a,b) is given by( b-y) over (a-x).. Thus4-4 over 4-2 equals 0 is your answer... The line joining these two above points is parallel to X axis or perpendicular to y axis .on y axis this line intersects at (0,4)...

Which inequality models this problem?



The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible value for the width?



A.


2w + 2 • (5w) ≤ 96


B.


2w + 2 • (5w) ≥ 96


C.


2w + 2 • (5w) < 96


D.


2w + 2 • (5w) > 96

Answers

the true answer is
A.

2w + 2 • (5w) ≤ 96
because
the value of 2w + 2L is
is at most 96 centimeters, it means 2w + 2L ≤ 96



Answer:the answer is A

Step-by-step explanation:took the test and got it right

help me please tryna finish

Answers

Well the X intercept is a coordinate point where there is a unique value to X coordinate, other than 0. Since the graph touches the X axis to the left of the graph, the X intercept would be negative. More specifically it would be (-3,0).
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