A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)
Answers
Answer:
653.91 squared or 326.955 not squared
Step-by-step explanation:
We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!
The first step is
A^2 + B^2 = C^2
2 step
4.7^2 + B^2 = 26^2
3 step
4.7 x 4.7 = 22.09 and 26 x 26 = 676
4 step
22.09 + B^2 = 676
5 step
676 - 22.09 = 653.91
6 step
Answer
653.91 squared or 326.955 not squared!
hope this helps
Related Questions
WILL GIVE BRAINLIEST!!!
____________________
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Suppose Mr. Nicholson plans on working for his new employer for at least 9 years. Use each of the recursive models to determine Mr. Nicholson’s potential annual salary as a nine-year veteran with the company. In your final answer, include all of the necessary calculations.
Answers
Answer:
Step-by-step explanation:1. Arithmetic: Add 3,500
The annual raise of 3,500 means add 3,500 to the previous year's salary
60,000 + 3,500 = 63,500
63,500 + 3,500 = 67,000
67,000 + 3,500 = 70,500
70,500 + 3,500 = 74,000
74,000 + 3,500 = 77,500
Geometric: Multiply by 1.05
The annual raise by 5% of his current salary means multiply by 1.05.
60,000 x 1.05 = 63,000
63,000 x 1.05 = 66,150
66,150 x 1.05 = 69,457.50
69,457.50 x 1.05 = 72,930.38 rounded
72,930.375 x 1.05 = 76,576.89
The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)
2a. Arithmetic - New salary is $3,500 greater each year than last year's salary
S = 60,000 + 3500(n-1)
Geometric - New salary is 5% more each year than last year's salary
60,000 + (1.05)^(n-1)
2b. Arithmetic Earnings over 3 years
60,000 + 63,500 + 67,000 = 190,500
Geometric Earnings over 3 years
60,000 + 63,000 + 66,150 = 189,150
There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two
3.Arithmetic
a(9) = 3,500 + a(9-1)
a(9) = 3,500 + 89,000
a(9) = 92,500
Geometric
a(9) = 1.05 x a(9-1)
a(9) = 1.05 x 84,425.90
a(9) = 88,647.20
4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.
I'm always happy to help :)
Answer:
he is not a wealthy man
Step-by-step explanation:
because he got money
What is the greatest common factor of 36 and 42?
Answers
Answer:
Answer is 6.
Step-by-step explanation:
What is the Greatest Common Factor of 36 and 42? Greatest common factor (GCF) of 36 and 42 is 6. We will now calculate the prime factors of 36 and 42, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 42.
I hope it's helpful!
If ray OC stands on line AB such that ∠AOC = ∠BOC, then find ∠BOC.
Answers
Answer:
Here OP bisect ∠BOC
∴∠POC=∠BOP …………(i)
and OQ bisect ∠AOC
∴∠AOQ=∠COQ …………….(ii)
and ∠AOB=180
o
[∵AOB is a straight line]
⇒∠BOP+∠DOC+∠COQ+∠AOQ=180
o
⇒∠POC+∠POC+∠COQ+∠COQ=180
o
[using (i) & (ii)]
⇒2∠POC+2∠COQ=480
o
⇒2(∠POC+∠COQ)=180
o
⇒2∠POQ=180
o
⇒∠POQ=90
o
.
Which equation, when solved, results in a different value of x than the other three?
Answers
Find the value of that makes DEF~XYZ
Answers
Answer:
DEF~XYZ
xz/DF=xy/de in similar triangle side are proportional
3x/7=7.5/5
3x=7.5/5 ×1/7=7.5/35
Which expression is equivalent to 9c + 12d + 2c
A. 18c + 12d
B. 11c + 12d
C. 11c exponent 2 + 12d
D. 23cd
Answers
Answer:
B. 11c + 12d
Step-by-step explanation:
Given
9c + 12d + 2c
Combine the like terms
= 11c + 12d
Hope it will help :)
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!
Answers
Answer:
1/3
Step-by-step explanation:
1 rise
3 run
Miss Penny inherits £1040
she decides to save some of the money and spend the rest
the ratio of savings to spending money is 5:8
how much does she save and how much does she spend
Answers
Answer:
Step-by-step explanation:
first we simplify the ratio
5:8
8/5=1.6
1:1.6 so for every 1 dollar she save she spends 1.6
next we do 1040/1.6=650
1040-650=390
390:650
i hope this helps and is the correct answer pls let me know
Revenue control systems can help protect guests, employees, and revenues from the point of taking a guest's order to:
A) checking the guest out
B) locking the safe at night
C) making a bank deposit
D) closing out a shift
Answers
Answer:
i think is A
Step-by-step explanation:
because need to check first
There are 5 marbles in a bag three are yellow 2 are blue Marcus is going to choose a marble without looking and Toss a coin what is the probability that he will pull out a yellow marble and his coin lands on tails write your answer as a fraction
Answers
Answer:
yellow
Step-by-step explanation:
Karl’s and eddie’s ages added together are equal to 65. 10 years ago, Karl was twice as old as Eddie. How old are they now
Answers
9514 1404 393
Answer:
Karl is 40Eddie is 25Step-by-step explanation:
10 years ago, the sum of their ages was 65 -2·10 = 45.
If Karl was twice as old as Eddie, his contribution was 2/3 of the sum and Eddie's was 1/3. That is, Karl was (2/3)(45) = 30 and Eddie was 15 at that time.
Now, Karl is 40 and Eddie is 25.
__
This can be solved using a system of equations.
e = 65 -k
(k -10) = 2(e -10)
Substituting the first equation into the second gives ...
k -10 = 2((65 -k) -10)
k -10 = 110 -2k . . . . . . . simplify
3k = 120 . . . . . . . . . . . . add 10+2k
k = 40
e = 65 -40 = 25
May someone answer these 4 questions for me? Find the area
Answers
7: 40
8: i’m pretty sure it’s 70 but i’m not sure
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
b
Step-by-step explanation:
who can help me with some math homework
Answers
Answer:
I can help you dude if any trouble (:
Can somebody help me. Will Mark brainliest.
Answers
Can you help with these two? Thanks!
Answers
Answer:
1. D.
2.C.
Step-by-step explanation:
If I'm right pls mark brainleist
Will give 10 points
Solve X
4X=32
Answers
x = 8
Anyone know the answer to this
Answers
Answer:
20
Step-by-step explanation:
Answer:
20 sq.units
Step-by-step explanation:
Given,
Height of the parallelogram = 4 units
Base of the parallelogram= 5 units
Therefore, area of the parallelogram = base × height
= 4 units × 5 units
= 20 square units (Ans)
HOW MANY solutions does this equation have?
d2=0
Answers
A store pays a supplier $40.00 for a wagon. The store sells the wagon for $70.00. What is the markup rate?
Answers
Answer:
markup 75%
Step-by-step explanation:
The difference in prices is $70-$40=$30.
So, we need to find what percentage of 40 is 30. We do this by dividing: 30/40=0.75, which is 75%. So, the markup is 75%.
help me please i am i need of assistance
Answers
A lorry drives for 4 hours at a speed of 45 mph. Calculate how far it travles
Answers
Answer:
180 miles
Step-by-step explanation:
Distance = speed x time
45 x 4 =180miles
distance = speed x time
distance = 4 x 45
Here are two similar solid toys. The ratio of surface area of toys R: surface area of toy B is 7:9. The volume of toy B is 20cm^3. Work out the volume of toy A. Give your answer to 3 significant figures 
Answers
Answer:
13.7
Step-by-step explanation:
The computation of the volume of toy A is shown below:
7 × k^2=9
k^2= 9 ÷ 7
k=√9 ÷ 7
k = 1.133893419
Now
= 20 ÷ 1.133893419³
=13.7
Use the portion of the periodic table shown below to answer the questions.
A portion of the first three columns of the periodic table is shown. Column one from top to bottom reads 11 sodium 22.990, 19 potassium 39.098, and 37 rubidium 85.468. Column two reads 12 magnesium 24.305, 20 calcium 40.078, and 38 strontium 87.62. Column three reads 21 scandium 44.956 and 39 yttrium 88.906.
Part 1: Name two elements that have the same properties as magnesium (Mg). (4 points)
Part 2: Determine the number of protons, electrons, and neutrons present in an atom of potassium (K). Explain how you determined your answer using complete sentences. (6 points)
Answers
Part 1:
Calcium(Ca) And Strontium (Sr)
Part 2:
Protons: 19
Electrons: 19
(both are the same)
Neutrons:20
Subtract 19 From 39 And Get 20
If You Use This Pls Put it in your own words
Also Sorry if I'm late!
When an inclined plane is used,
the mechanical advantage increases as the height increases.
a greater force is exerted over a shorter distance.
a negative mechanical advantage can result.
a smaller force is exerted over a longer distance.
Answers
Answer:
the mechanical advantage increases as the height increases.
Step-by-step explanation:
If m∠12 = 123° and m∠6 = 76°, find each measure.
Answers
Answer:
the picture is attachedsee the answers in the attachment96:120 simply To the least
Answers
Answer:
4:5
Step-by-step explanation:
96:120
simplified:
divide both sides of colon by 24:
4:5
The maximum value of a data set consisting of 25
positive integers is 84. A new data set consisting of 26
positive integers is created by including 96 in the
original data set. Which of the following measures
must be 12 greater for the new data set than for the
original data set?
A) the mean
B)the median
C)the range
D)the standard deviation
Answers
The new data set's range must be greater than the original data set's range. which is the correct answer would be an option (C).
What is the range of the data?The range of the data is defined as the difference between the maximum value of data and the minimum value of the data.
Let m be the smallest value in the original data collection.
Given that the original data set's range = 84 -m
A new data set is made up of 26 positive integers and 96 from the existing data set.
As a result, the new data set's range is 96-m.
We can now determine the difference between two ranges by subtracting them :
⇒ (96 - m) - (84 - m)
⇒ 96 - m - 84 + m
⇒ 12
As a result, the new data set's range must be greater than the original data set's range.
Hence, the correct answer would be an option (C).
To learn more about the range of the data click here:
https://brainly.com/question/20607770
#SPJ2
the quotient of 14 and z
Answers
Answer:
dont know sorry
Step-by-step explanation:
sorry :(
Find the length side
Answers
Answer:
PR = 6.93 units
PQ = 13.86 units
Step-by-step explanation:
From ΔPQR,
m∠Q = 30°
QR = 12
By applying tangent rule for the given angle in the triangle,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(30°) = [tex]\frac{PR}{QR}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]
PR = [tex]\frac{12}{\sqrt{3} }[/tex]
PR = 4√3 ≈ 6.93
Now we apply cosine rule,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]
PQ = [tex]\frac{24}{\sqrt{3} }[/tex]
PQ = 8√3 ≈ 13.86