Answers
Answer:
The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;
[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] = [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex]
Step-by-step explanation:
From the question diagram, we have two triangles, ΔEAF and ΔABC;
The ratio of the lengths of the sides [tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] = [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex]
∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC
Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar
Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal
We have;
[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] = [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = 50 ft. /(100 ft.) = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex] = [tex]\overline{EF}[/tex]/120 ft.
[tex]\overline{EF}[/tex] = 120 ft. × 50 ft./(100 ft.) = 60 ft.
[tex]\overline{EF}[/tex] = 60 ft.
The distance between the pirate and the treasure, [tex]\overline{EF}[/tex] = 60 ft.
Related Questions
HELPPPPP PLZ ITS 6TH GRADE MATH
20b−2b+3b+x
Answers
Answer:
21b+x
Step-by-step explanation:
Answer:21b+x
Step-by-step explanation:
i got u
find the measurement indicated in the parallelogram
Answers
Answer:
m(∠W) = 114°
Step-by-step explanation:
By the property of a parallelogram,
"Opposite angles of a parallelogram are equal in measure"
By this property,
m(∠W) = m(∠U)
9x + 15 = 4 + 10x
15 - 4 = 10x - 9x
x = 11
Therefore, m(∠W) = 9x + 15
= 9(11) + 15
= 99 + 15
= 114°
Measure of angle W is 114°.
Let x2+8x=7 .
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x2+8x+ ? = ?
Answers
Answer:
x²+8x+16=24
Step-by-step explanation:
x²+8x=7 (+16)
x²+8x+16=7+16=24
(x+4)²=24
The values to be entered in the boxes are 16 and 23.
Given the equation is [tex]x^2[/tex]+8x=7
To complete the square for the equation [tex]x^2[/tex] + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.
First, take half of the coefficient of the x-term (8) and square it:
[tex](8/2)^2[/tex] = 16
Now, add 16 to both sides of the equation:
[tex]x^2[/tex] + 8x + 16 = 7 + 16
Simplifying:
[tex]x^2[/tex] + 8x + 16 = 23
Therefore, the equivalent number sentence after completing the square is [tex]x^2[/tex] + 8x + 16 = 23
The values to be entered in the boxes are 16 and 23.
Hence, [tex]x^2[/tex] + 8x + 16 = 23.
Learn more about completing the square in quadratic equations, click here:
https://brainly.com/question/12014272
#SPJ6
James is 612cm tall. how many decimeters is this.
Answers
Answer:
61.2 decimeter.
Step-by-step explanation:
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 65 feet, and the length of the other base is 44 feet. The height is 30 feet. What is the area of this section of the deck? The area for the section of the deck is ft2.
Answers
Answer:
1635 feets²
Step-by-step explanation:
The Area of a trapezoid is given as :
1/2 (a +b)h
Where ;
a and b are the base of the trapezoid
h = height
From the question :
a = 65 feets
b = 44 feets
h = 30 feets
Area, A = 1/2(65 + 44) * 30
A = 1/2 (109) * 30
A = 1635 feets²
please tell me the answers
Answers
1.football = 45/150 = 0.3
2. Tennis= 18/150 = 0.12
3.gymnastics= 12/150 = 0.08
4. Volleyball= 9/150 = 0.06
5. 3/10 x 30 = 9
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answers
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
A survey of 100 high school students provided this frequency table on how to show students to get to school
Answers
Answer:
4/10
Step-by-step explanation:
40 students drive
There are 100 students
40/100 = 4/10
Answer:
2/5
Step-by-step explanation:
The function g(x) represents the amount of money in a savings account x years after it is opened.
What does the statement, g(10) - g(9) = $5,000, represent?
A.
The initial balance of the account was $5,000.
B.
Between nine and ten years after opening the account, the balance shrank by $5,000.
C.
Between nine and ten years after opening the account, the balance grew by $5,000.
D.
Ten years after opening the account, the balance was $5,000.
Answers
Answer:
C
Step-by-step explanation:
Between nine and ten years after opening the account, the balance grew by $5,000.
Between nine and ten years after opening the account, the balance grew by $5,000. The correct answer would be an option (C)
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function g(x) represents the amount of money in a savings account x years after it is opened.
The statement g(10) - g(9) = $5,000 represents the difference in the balance between 9 and 10 years after opening the account, and since the difference is positive, it means that the balance grew by $5,000.
Hence, the correct answer would be an option (C)
Learn more about the function here:
brainly.com/question/12431044
#SPJ2
PLEASE HELP I NEED IT TO PASS THIS CLASS
Answers
Answer:
complement angle = 52 + 38 = 90°
supplement angle = 47 + 133 = 180°
Step-by-step explanation:
[tex]here \: is \: your \: solution \: \\ measure \: of \: one \: angle \: = 52 \\ let \: the \: other \: angle \: be = x \\ \\ x \: + 52 \: = 90 \\ x \: = \: 90 - 52 \\ x \: = 38 \\ now \: second \: question \\ x + 47 = 180 \\ x = 180 - 47 \\ x = 133 \\ hope \: it \: helps[/tex]
PLEASE HURRYYYYY Keith takes out a 35,000 loan to purchase a new car. The loan has an interest rate of 3.11%, and Keith will pay the loan back in 5 years with monthly payments of $631. How much will Keith end up paying in interest after paying his car off in 5 years?
Answers
Answer:
2,860.00
I found the answer
Keith takes out a 35,000 loan to purchase a new car. Keith end up paying in interest after paying his car off in 5 years will pay $5442.50.
How to calculate a simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Keith takes out a 35,000 loan to purchase a new car.
The loan has an interest rate of 3.11%, and Keith will pay the loan back in 5 years with monthly payments of $631.
Simple interests
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
[tex]I = \dfrac{35,000 \times 3.11\times 5}{100}\\\\I = 5442.50[/tex]
Learn more about simple interests here:
https://brainly.com/question/5319581
#SPJ2
The length of a rectangle plus its width is 18 cm. The area is 80 sq cm. what are the length and width of the rectangle?
Answers
Answer:
80 units squared
Step-by-step explanation:
If two sides of a rectangle add up to 18cm and the area is 80 units squared then the length is 10cm, and the width is 8cm. If you add 10 and 8 together you get 18, and if you multiply those you get 80 units squared.
The average customer at Longhorn Steakhouse spends $26.00 per meal with a
margin of error of 10%. How is the maximum it would cost you if you pay for you
and your date?
$72.00
$57.20
$64.60
$28.60
Answers
$26.00 per meal
You and your date = two people
10%
Work:
26.00 x 2 =52
52 x 10% = 5.2
52 + 5.2 =
$57.20
I hope this helped and was right, have a nice day.
HELP ME !!!!!!!!!!!!!!!!!
Answers
Answer:
c if i'm correct but its possible that its c
Step-by-step explanation:
How long will it take the population of a certain country to double if it’s annual growth rate is 7.3%?
Answers
Then you would write the equation as ln(2)= 0.073t
After you put the number on the same side and get t= ln(2)/ 0.073
And then you get and answer of 9.49 year which would round up to 9.5
Is there such a thing as greatest common multiple ? Or is it only least common multiple? Why ?
Answers
Answer:
Yes.
Step-by-step explanation:
We have GCD and LCM.
GCD means Greatest Common Divisor
LCM means Least Common Multiple
GCD can also mean HCF(Highest Common Factor)
Consider this right triangle determine whether each equation is correct. Select yes or no for each equation
Answers
Answer:
where is the question?
Step-by-step explanation:
I don't see anything If he then " consider this right triangle determine whether each equation is correct select yes or no for each equation"
Name all of the quadrilaterals that have the given attributes.
Answers
Answer:
See below
Step-by-step explanation:
Opposite sides are parallel:
parallelogram, rectangle, rhombus and square
4 right angles:
rectangle square
Exactly 1 pair of parallel sides:
trapezoid
4 congruent sides:
square
Have a great day!
Jaylen has a summer job that pays $11.50 per hour. He states that a linear function can be used to model his earnings, E, in dollars, in terms of the number of hours, h, that he works
Determine whether each action below can be used by Jaylen to prove that a linear function models his earnings. Select Yes or No for each action
Answers
Answer:
Yes
No
No
Yes
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME I REALLY NEED HELP I HAVE TWO MINUTES LEFT!!
Answers
Answer:
d is the ans
Step-by-step explanation:
D is the answer
After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.
Using the box plot, determine the best measures of the data.
The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.
The number that best summarizes the data is (blank)
years of service.
The number that best describes how the data varies is (blank)
years of service.
Answers
Step-by-step explanation:
the center=3 bc it is in the middle of the box
variability is 2
the number that best summarizes the data is 4.5
the number that describes how the data varies is 9-0=9
Hope that helps :)
Answer:
what's the answer?
Step-by-step explanation:
Consider matrix L, a 13x7 matrix. How many elements are in matrix L?
Answers
Answer:
14
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
I got it wrong so heres the right answer
Which of the following statements are represented by
the correct ratio? Select all that apply.
Choose all that apply:
"There are 4 hamburgers sold for every 3 cheeseburgers sold
in the cafeteria." The ratio of hamburgers sold to
cheeseburgers sold is 4:3.
"There are 20 passing scores for every 25 math tests graded.
The ratio of passing scores to tests graded is 4:5.
"There are 12 pairs of shoes for every 14 pairs of pants in the
clothing store." The ratio of pairs of shoes to pairs of pants is
6.8.
"There are 8 goldfish in the pet store for every 3 guinea pigs."
The ratio of goldfish to guinea pigs is 3.8.
Answers
As razões que se aplicam são as seguintes:
“São 4 hambúrgueres
vendidos para cada 3 cheeseburgers vendidos na cafeteria." A proporção de
hambúrgueres vendidos para cheeseburgers vendidos é de 4:3.
"Há 20 notas de aprovação para cada 25 testes de matemática classificados.
A proporção de escores de aprovação para testes classificados é de 4:5."
Which line segment is a reflection of AB in the x-axis?
Answers
I say that the answer is E,F
Can u pls help me with this question
Answers
Answer:
C. x<4
Step-by-step explanation:
1. Subtract 2 from both sides
2. You get x<4
Answer:
C) x < 4
Step-by-step explanation:
x + 2 < 6
x < 6 - 2
x < 4
Find the volume of the cylinder. Either enter an exact answer in terms of T or use 3.14 for T. 6 for height 8 for width
nvm I got it it was 384
Answers
Answer:
The volume of the cylinder is equal to 1205.76 cubic units.
Step-by-step explanation:
Given that,
Height of the cylinder, h = 6
Radius of the cylinder, r = 8
We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\V=3.14\times 8^2\times 6\\\\V=1205.76\ units^3[/tex]
So, the volume of the cylinder is equal to 1205.76 cubic units.
It tells to round to the nearest hundredth. Can anybody help?
Answers
Answer:
I can't see it very clearly but its
288m^2
Answer:
90m is the area. (not sure why it says hundredth we do not have any decimals)
Step-by-step explanation:
find the area of both the triangle and he rectangle
triangle - 18 (area = 0.5 * b * h)
rectangle =72. ( L x W)
add em together
Assist me, it’s a word problem, are their any smart people? NO LINKS OR I WILL REPORT
Answers
Answer:
vertex: (-2,7)
Focus: (-2, [tex]\frac{27}{4}[/tex])
Axis of symmetry: x = -2
Directrix: y = [tex]\frac{29}{4}[/tex]
Step-by-step explanation:
Convert the following base 10 numbers to the respective base indicated .
21 to base 2
109 to base 4
1652 to base 9
Answers
21 to base 2 is 10101
109 to base 4 is 1231
1652 to base 9 is 2235
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
А. The lines intersect at one point.
В. The lines are parallel
C. The lines are the same line.
D. The lines cannot be graphed.