6
A painter sets a ladder
against a wall 9 ft above
the ground. If the ladder is
3 feet from the base of the
wall, how long is the ladder?
Round your answer
to the nearest tenth.
Answers
Answer: About 10 ft.
Use Pythagorean's Theorem!
c=[tex]\sqrt{9^2+3^2}[/tex]
9 * 9 = 81
3 * 3 = 9
81 + 9 = 90
[tex]\sqrt{90\\}[/tex] = 3[tex]\sqrt{10}[/tex] ≈ 10 ft.
Related Questions
Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
Answers
Given:
Principal = $14000
Rate of interest = 10% compounded semiannually.
Time = 11 years.
To find:
The accumulated value of the given investment.
Solution:
Formula for amount or accumulated value after compound interest is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
Compounded semiannually means interest compounded 2 times in an years.
Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get
[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]
[tex]A=14000\left(1+0.05\right)^{22}[/tex]
[tex]A=14000\left(1.05\right)^{22}[/tex]
[tex]A\approx 40953.65[/tex]
Therefore, the accumulated value of the given investment is $40953.65.
Answer:
A = $41,867.06
A = P + I where
P (principal) = $14,000.00
I (interest) = $27,867.06
Step-by-step explanation:
Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year
To find: The accumulated value of an investment
Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]
Solution: First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 14,000.00(1 + 0.1/12)(12)(11)
A = 14,000.00(1 + 0.008333333)(132)
A = $41,867.06
Henceforth:
The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.
The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance.
Answers
Answer: The actual distance is 6 km
Step-by-step explanation: If you do a conversion from 1 cm to 20 km in fraction form, you will have
[tex]\frac{1cm}{20km} = \frac{0.1cm}{km ?}[/tex]
So, if you solve for km, you will get 6 using cross multipulcation
Last one, Estimate the perimeter and the area of the shaded figure
Show how u got it please.
Answers
Answer:
13 and a half
Step-by-step explanation:
I just counted the squares bro
Help please and no links
Answers
Answer:
D
Step-by-step explanation:
right 6 units , B is 3,6 which is right 6 units from point f
Answer:
you
point
stealer.com
Step-by-step explanation:
7W + 3 = -4W - 85
a. -11
b. 11
c. 8
d. -8
Answers
Step 1) Subtract 3 from both sides of the equation
Step 2) Add 4W to both sides of the equation
Step 3) Divide both sides of the equation by the same factor
help me with geometry practice . DN=O NOT ANWSER IF YOU DON'T KNOW.
Answers
Answer: See Below
Step-by-step explanation:
there is a ton of information here to get through
<a is 34 (half of 68)
<C is 56
triangle YRC is iscocles, YR and RX are both radius, so they are equal. So the base angles must be equal as well. we know that the central angle is 68, because arc YX is 68. to find the measure of angle C use the equation 2x+68=180 (2 of the same angle (x) + 68 makes all the angles in the triangle. 2x=180-68 2x=112x=56Skip E until the end
<G is 84
<G and the angle that is 96 make a linear pair <G + 96=180<G=84Arc YS is 112
Arc YS is = <Rfind <R<R and the angle across from ARC YX are a linear pair<YRX is 68<R+68=180<R is 112<D and F are 42
<D and <F are the base angles of an isosceles triangle (2 sides are the radius again)the central angle in this case is 962x+96=1802x=84x= 42so both D and F are 42now <E is 96
measure of an angle outside the circle with 2 rays touching the circle is the measure of the larger arc of the circle minus the smaller arc divided by 2the measure of the smaller arc is the same as <Gsmaller arc is 84the larger arc is 360-84the larger arc is 276276-84= 192divide by 2 to get <E192/2=96Explain how you can decide whether the equation represents the graph. What can you do to the equation to make it a better fit for the graph? What equation would fit better?
Melvin wrote the equation 푦 = (푥 + 3)(푥 + 1)(푥 − 2) 2 to represent the graph at right.
Answers
Answer:
O
Step-by-step explanation:
on a separate sheet of paper, calculate each of the individual values indicated in the table. record those values in the table below(please answer ASAP)
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table is filled in below.
To compute the square of the length of a sloped side, you need to sum the squares of the rise and the run. For example, the square of the length of 'a' in triangle F is ...
a² = rise² + run² = 1² +2² = 1 +4 = 5
__
Additional comment
When computing the slopes of the various triangle sides, you need to pay attention to the sign of the "rise" for a positive "run."
For the distance purpose here, the rise and run are squared, so their signs are irrelevant. You can treat them all as positive numbers.
I need this equation in standard form
Answers
Answer:
-2x + y - 1 = 0
Step-by-step explanation:
Standard form is Ax + By + C = 0
2x + y = -19 indeedddddddddddddddddddddddddddddd
Write 0.896146 to 2 significant figures.
Answers
On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval
Answers
Answer:
Option c (I cannot........Florida) is the appropriate response.
Step-by-step explanation:
The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.
Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.The other three given alternatives aren't related to the question. Thus option c is the correct one.
A savings account starts with $231 25. After 8 years of continuous compounding at an
interest rate the account has $1850.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Enter your answer in the box
Answers
Answer:
87.5%
Step-by-step explanation:
Took the k12 math test
A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate of 87.5% the account has $1850.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest = P(1+r/n)^rt
A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate the account has $1850.
Compound Interest = P(1+r/n)^rt
[tex]\rm 1850 = 231 25 (1 + r/12)^{96}[/tex]
[tex]\rm 1850 = 231 25 (1 + r/12)^{96}\\\rm 1850 /231 25 = (1 + r/12)^{96}[/tex]
r = 87.5%
Thus, the interest rate percentage is 0.87 rate per year.
Learn more about interest;
https://brainly.com/question/4128149
Data Set A: 1 3 3 2 4 0 4 3 3 5 2
Data Set B: 3 5 5 4 6 1 6 6 6 6 5
Based on the distribution which data set best measures of center and spread?
Mean
[ Select ]
Median
[ Select ]
Quartiles
[ Select ]
Range
[ Select ]
Standard deviation
[ Select ]
Mode
Answers
Compete the table to find the unit rate. the table shows how much jazz earns babysitting. What is jazz unit rate per hour? If jazz earned 97.50$ how many hours did she work?
Answers
Answer:
13 hours
Step-by-step explanation:
22.50/3=7.5
52.50/7=7.5
97.50/7.5=13
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
So, Start with the formula
V= pi ×R² × H
V= pi × 9² × 2
V= pi × 81 × 2
V = 162 pi in³
Then ×2 = 342 in³
required volume =162π or 508.94or 509in³
Answer:
solution given:
radius (r)=9in
height(h)=2 in
we have
volume [V]=πr²h=π×9²×2=162π or 508.94in³
Turtles and tortoises have long life spans. A tortoise can live as long as 150 years. There are 365 days in one year. About how many days could a tortoise live?
Answers
Answer:
54,750 days
you just multiply 150 by 365
Consider the right triangle shown. Which statements are correct?
Answers
hope this helps
What information does a supply schedule provide?
A. It shows supply for different products at different prices.
B. It shows the supply for a product at a single price point.
C. It shows the supply for a product at various prices.
Answers
Hope it helps. Give me brainliest please
Answer:
c
Step-by-step explanation:
HELP ASAP ILL GIVE BRAINLESS PLEASE HELP
Question 16 (Fill-In-The-Blank Worth 1 points)
(07.04 LC)
The solution to 15x = 30 is x=_- (Only input the number.)
Numerical Answers Expected!
Answer for Blank 1.
Answers
Answer:
X = 2
Step-by-step explanation:
15X = 30
so
X = 30/15
X = 2
Answer:
The correct answer is x=2, so enter a "2" in the box. Hope this helps!
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answers
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
The rectangular prism below has a width of 5cm a length of 7cm and a height of 4 cm what is the surface area of this rectangular prism
Answers
Answer:
Step-by-step explanation:
multiply length x width times hight
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.
[Not drawn to scale]
54 square feet
67.5 square feet
81 square feet
85.5 square feet
Answers
Answer:
The answer would be 81, or C
Step-by-step explanation:
youre welcome, have a great day :D!!
Answer:
81 or c
Step-by-step explanation:
SIMPLE QUESTION! Multiply 3x^2(5x^3)
Answers
Answer:
15x^5
Step-by-step explanation:
That's the answer I got im pretty sure it correct
Solve for x
A) 3
B) 11
C) 6
D) 7
Answers
write a real world problem that could be represented by 1/5 x 5 = 1
Answers
Answer:
Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?
you pick random 6,7,8,9 what is P(9)
Answers
Step-by-step explanation:
There are a total of 4 numbers to pick.
P(9) means is the probability of you picking the number 9.
Since you are only picking one number, the probability will be 1/4 or 0.25
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answers
Answer:
47.05
Step-by-step explanation:
12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#
Y=7x+2 what is the slope
Answers
Answer:
The slope is 7
Step-by-step explanation:
The equation is in y=mx+b form
m=the slope
b=y-intercept
What is the surface area of this design?
Answers
Answer:
210
Step-by-step explanation:
Answer:
The answer is 197
Step-by-step explanation:
I saw this on another question so I hope you trust that this is the right answer
Which statement describes the system of equations?
3x-4y=-35
3x+4y=5
1.) It has one solution (–5, 5).
2.)It has one solution (5, –5).
3.)The system has no solution.
4.)The system has infinitely many solutions.
Answers
Answer:
1.) It has one solution (–5, 5).
if you click on the photo it will show you how to get the answer. I hope this helps you.
