use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.
Answers
Answer:
18. AE = 6
19. BG = 6
20. CF = 5
21. GF = 2
22. CE = 3
23. AC = 3·√5
24. A_F = 10
25. DA = 3·(√5 - 1)
Step-by-step explanation:
Whereby the point C is the center of the circle, we have;
CB = CG = CE = 3 = The radius of the circle with center at C
CE = 3
CF = √(4² + 3²) = 5 by Pythagoras' theorem
CF = 5
GF = CF - CG = 5 - 3 = 2
GF = 2
BG = CB + CG = 3 + 3 = 6
BG = 6
Whereby, BC is a tangent to the circle with center, C, we have;
A_F = √(8² + 6²) = 10 by Pythagoras' theorem
A_F = 10
AE = A_F - EF = 10 - 4 = 6
AE = 6
AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem
AC = 3·√5
DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)
DA = 3·(√5 - 1).
Related Questions
7 chocolate bars cost 19 dollars determine the cost per chocolate bar.
Answers
Answer: .368
Step-by-step explanation:
Answer:
$2.71
Step-by-step explanation:
to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars
19/7
= 2.714
≈ $2.71
Answer please, be sure your right or don’t answer at all.
Answers
Answer:
y > 1/3x -3
Step-by-step explanation:
Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack." How many dimes and quarters in Lulu holding? Enter your final answer in the space below. Please make sure you write your interpretation in a complete sentence
Answers
Given :
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.
They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.
To Find :
How many dimes and quarters in Lulu holding?
Solution :
4.10 dollar = 410 cents
Let, number of dimes and quarter are x and y.
So, x + y = 20 ...1)
Also, 10x + 25y = 410 ...2)
Putting value of 1) in equation 2), we get :
10x + 25( 20 - x ) = 410
10x + 500 - 25x = 410
15x = 90
x = 6
y = 14
Therefore, number of dimes and quarters are 6 and 14 respectively.
Hence, this is the required solution.
What slope would make the lines
parallel?
y = -3x + 9
y = [?]x + 4
Answers
Answer:
- 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 9 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + 4 ← is the equation of a parallel line
I really need help with my practice final
Answers
Answer:
$3,665
Step-by-step explanation:
At a concert, 20% of the audience were teens. If the number of the teens were 360, What was the total number of people in the audience?
Answers
360/2=180
180x10=1800
HELLPPPPPPP BRAINLIEST
What is the constant term in the expression 4x3y + 8x2 + 6x + 5? (Input a numeric value only.) (3 points)
Answers
Answer:
the answer is 5
Step-by-step explanation:
During a movie, Tanvi ate 4/5 of a handful of snack mix, and Wyatt ate 2/5 of a handful. How much more did Tanvi eat?
Answers
basically just subtract 4/5 and 2/5 and you get 2/5
feel free to mark brainliest, hope this helps!
Answer: 2/5
Step-by-step explanation:
Please help me with this - my teacher didn't explain this and if I get an f my parents will kill me please help.
Answers
Answer:
uh what do you want help with?? id be happy to help:D
Step-by-step explanation:
read the picture please
Answers
Answer:
I think its g and j
I don't think its I because that's above -1 and -3/2 should be below
How many pounds are there in 2/3/4 tons (1 ton = 2000 pounds)
Answers
At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill ow much would the sales tax be on $66 meal What is the tax rate for meals in the city At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill how much would the sales tax be on $66 meal What is the tax rate for meals in the city
Answers
Answer:
$5.61
8.5%
Step-by-step explanation:
Cost of meal = $22
Sales tax = $1.87
How much would the sales tax be on $66 meal
= $66/$22 × $1.87
= 3 × $1.87
= $5.61
What is the tax rate for meals in the city
Tax rate = sales tax / cost of meal × 100
= $1.87/$22 × 100
= 0.085 × 100
= 8.5%
Tax rate = 8.5%
if f(x)= x^2 and g(x) = 4f (x)-1 then which of the following is the value of g (-3)
view image below to see answer choices
Answers
Answer:
27Step-by-step explanation:
Given
f(x)= x^2-2 and g(x) = 4f (x)-1
g(x) = 4(x^2-2) - 1
g(x) = 4x²-8-1
g(x) = 4x²-9
Get g(-3):
g(-3) = 4(-3)²-9
g(-3 = 4(9) - 9
g(-3) = 36-9
g(-3) = 27
what is an equation for the line that passes through the points (-2,3), and (2,1)
Answers
Answer:
yes
Step-by-step explanation:
no
please help my mom is gonna hit me if i don't get it right.
the answer is NOT 18
Answers
Answer:
Lol I hope she didn't hit you yet. The answer is x=14 :)
Step-by-step explanation:
So the first thing that you would want to do is find what 9 is multiplied by to get 21. To do this, we can just do a simple algebraic equation: 9x=21. The answer is 7/3 because mAgIc. So now, we can also multiply 6 by 7/3. this would be 42/3 because of more MaGiC. 42/3 divides into 14 because im just obviously a mage. lol I hope this helped.
I WILL GIVE BRAINLEST!!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSSSS SHOW YOUR WORK PLSSSSSSS
Answers
Answer:
D
Step-by-step explanation
10/5=2
10x0.02=0.05
2+0.05=2.05
x^8-x^5+18x^4-18=0 solve this equation
Answers
Answer:
a
Step-by-step explanation:
source: trust me bro
purchase furniture of rs.50000 at 10% discount (accounting equation
Answers
Answer:
5000
Step-by-step explanation:
50000 / 10= 5000
Cost of the furniture of 50000 rupees with 10% discount is 45000 rupees
What is Discount?A deduction from the usual cost of something
Here Cost of the furniture = 50000 rupees
Discount = 10%
Then the discount price is = total cost × 10%
[tex]50000(\frac{10}{100})=5000[/tex] rupees
Then the purchased amount = Total price - Discount
[tex]50000-5000=45000[/tex] rupees
Hence, the purchased price is 45000 rupees
Learn more about Discount here
https://brainly.com/question/3541148
#SPJ2
The cost of a car rental is $30 per day plus per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answers
Answer:
2. 5 miles
Step-by-step explanation:
Given that:
Rental cost = $30
Cost per mile driven = 18 cent
Daily budget = $75
Greatest distance you can drive each day while staying within budget :
Rental cost + (cost per mile driven * distance) ≤ daily budget
$30 + 18d ≤ $75
18d ≤ 75 - 30
18d ≤ 45
d ≤ 45 / 18
d ≤ 2.5
Greatest distance you can drive each day while staying within budget is 2.5 miles.
Step-by-step explanation:
Graph the solution of the inequality on a number line.
2(x – 3) – 5x
Answers
Select the correct answer. Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33 A. The equation has a maximum value with a y-coordinate of -21. B. The equation has a minimum value with a y-coordinate of -21. C. The equation has a minimum value with a y-coordinate of -27. D. The equation has a maximum value with a y-coordinate of -27.
Answers
Step-by-step explanation:
y = -3x² + 12x - 33
y = -3[x² - 4x + 11]
y = -3[(x - 2)² + 7]
Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.
Therefore the correct option is A.
The length and breadth of a rectangular plot are in the ratio of 4:3, if perimeter is 140m, it's area will be
Answers
Answer:
length of a rectangular is 4x
breadth of a rectangular is 3x
perimeter is 140m
perimeter of rectangular is
140 = 2(l + b)put the value and you got the value of x
then;
find area
[tex]area = l \times b[/tex]
then put the value of length and breadth and x also
then you got the answer...
Find The Angle (See Image)
Answers
Answer:
do you how many there is 5 angles if thats what ur asking
Step-by-step explanation:
im really bad in math so could anyone help me please
Answers
5, the third option
Solve by graphing.
y = 3/4X+ 6
y = -X-1
Answers
Answer:
(-4,3)
Step-by-step explanation:
I graphed this on desmos
The ratio of sixth grades to seventh grades in the club of science club is 4:7. If there are 20 sixth grades in the club, how many seventh graders are in the club?
Answers
Answer: 35 seventh graders
Step-by-step explanation:
The simplified ratio is 4:7 sixth graders to seventh graders
The number of sixth-graders is 5 times the number shown in the ratio of attendees (20/4 = 5). Thus, the number of 7th graders must also be 5 times greater than the simplified ratio.
7*5 = 35, thus there are 35 seventh graders in the club
Answer:
35
Step-by-step explanation:
4 (sixth grader) : 7(seventh grader)
what do we multiply by 4 to get 20? 5
so we have to do the same to the other part of the ratio
soooo
7 x 5 is 35
finally ur answer is 35
or 20:35
How do you do an area model of 15 times 11
Answers
What is the result of 4 ➗8/12
A) 1/6
B) 3/8
C) 3
D) 6
This is an edge unit test with 1 hour left please help me
Answers
Hope this helps if need more pls text✌
Answer: D
Step-by-step explanation:
if x²+y²=6xy then prove that 2log(x+y)=logx+logy+3log2
Answers
Answer:
Given that
x² + y² = 6xy
or, (x + y)² - 2xy = 6xy
or, (x + y)² = 8xy
or, (x + y)² = 2³xy
Taking (log) in both sides, we get
log (x + y)² = log (2³xy)
or, 2 log (x + y) = log (2³) + logx + logy
or, 2 log (x + y) = 3 log2 + logx + logy
Hope this helps :D
-4.5x > -21
Can someone help me ASAP
Answers
Step-by-step explanation:
-4.5 x > -21
4.5 = 9/2
WHEN DIVIDING INEQUALITIES WITH NEGATIVE SIGNS, THE GREATHER THAN SIGN WILL CHANGE TO LESS THAN.
-9/2x > - 21
Divide both sides by 9/2 or 4.5
-9/2x / - 9/2 > - 21 / - 9/2
x < 21 × 2/9
x < 7 × 2/3
x < 14/3
x < 4.66666667
Aproximately.... x < 4.7
Please gimme brainliest