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
Solve
Log(x-1)+log(2)=7
Answers
Answer:
x is 6 i believeee if you're solving for x!!
Step-by-step explanation:
Answer:
x = 1 + 0.5 * 10^7
Step-by-step explanation:
Use log(a) + log(b) = log(ab).
log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7
Using log(a) = b <=> a = 10^b
log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7
if I have 130 of something and I need 200 how many more do I need
Answers
Answer:
70
Step-by-step explanation:
200 - 130
The sum of 10 and Hector's age is 69 . Use the variable H to represent Hector's age.
Answers
Answer:
59? Is it H = 59?
The area of the parallelogram below is ____ square meters.
Numerical Answers Expected
Answers
Answer:
Step-by-step explanation:
The formula for finding the area of a parallelogram is the same for finding the area of a rectangle/square. So basically:
6 × 8 = 48
The area of the parallelogram is 48
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?
Answers
Answer:
16:60 = 4/15
Step-by-step explanation:
can somebody please help me
Answers
Answer:
[tex]C.650,000\ pounds[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\No.\ of\ superheroes\ =3\ superheroes\\Weight\ in\ Tons\ 3\ superheroes\ can\ lift\ together=975\ tons.\\Hence,\\As\ we\ know\ that,\\1\ ton=2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=975*2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=1,950,000\ pounds\\Hence,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{Weight\ in\ Pounds\ 3\ superheroes\ can\ lift}{No.\ of\ superheroes}\\[/tex]
[tex]Hence\ by\ substituting\ values,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{1,950,000}{3}= 650,000\ pounds[/tex]
(Please help me with this one it is due in ten minutes :'(
A snail is trying to get to the other side of a park. At what rate is the snail moving?
A) 1/2 foot per minute
B) 1 foot per minute
C) 1 1/2 feet per minute
D) 2 feet per minute
Answers
Answer:
I think the answer is C
Step-by-step explanation:
First you need to find 2 coordinates on the graph. (2,3) (4,6)
Use the formula M= y2-y1 ÷ x2-x1
Then m= 6-3 ÷ 4-2
Then m= 3÷2 = 1.5
So the slope should be 1.5 or 1 1/2
HELP ME PLEASEEEEEEEE
Answers
Answer:
2/3 more pizza
Step-by-step explanation:
because there is 3 blocks in a row and Edgar ate 2 more pizza slices than Reggle so there for Edgar ate 2/3 more pizza slices. hope this helps :)
helppppppppppppppppppppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
A and C
On Monday, a local hamburger shop sold a combined total of 588 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answers
the answer would be 147.I hope this helps you
Step-by-step explanation:
4h=588
h=588÷4
Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights
Answers
Answer: 24 1/2
Step-by-step explanation:
please help thanks in advance also best answer get's brainlest
Answers
Answer:
angle t is 55 degrees
Step-by-step explanation:
Here's my work:
Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110
110/2=55 (two because those are the two angles associated with the equal sides)
One equation that only has no solution
Answers
HELPPPPPPP plesssss two part question. the question is on the picture
Answers
B) (2x-7+3x^2+4x)+(2x-7+3x^2+4x)=perimeter
How do you find the run between two points? Can the rise be negative? Explain
Answers
Answer:
Step-by-step explanation:
To find run between two points, you will use the x-values.
For example, (2,3) and (4,5).
Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the run of these two numbers, you will subtract the second x value from the first x value.
Your answer would be 2 for the run.
It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.
Example:
points (2,8) and (5,1)
1 - 8 would equal -7.
The sum of two numbers is 52. The larger number is 10 more than the smaller number. What are the numbers?
Answers
Answer:
42?
Step-by-step explanation:
Just because 52-10 is 42..but thats to simple
Answer:
5.20000
Step-by-step explanation:
25
Simplify ——
5
Hey I need some help :)
Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.
Answers
Answer:
Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.
e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.
However, if there is no change it would be just 0.
HELP PLEASEE! A family of four decides to buy a new computer that they will all share the computer cost them 1250 which means it will reduce the household budget by -1250 if there’s cost gets shared equally across all four family members how much does each person end up paying?
Answers
Answer:
$ 312.5 each member.....
Answer:
Each member of the family should pay 312.5Step-by-step explanation:
You should only divide 312.5 by 4 = 312.5I hope I helpedThere are 80 pupils in a school. If 32 are boys, what percentage are boys?
Answers
Answer:
40%
Step-by-step explanation:
32/80=.4
Answer:
40%
Step-by-step explanation:
32÷80=.4×100=40%
I need help with this
Answers
Answer:
14
Step-by-step explanation:
add
You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.
Answers
Answer:
$58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
82-24=58
ill offer 50 points plus 30 points for all of this
Answers
Answer:
0.64 Fraction: 16/25 Percent: 64%
55% Fraction: 11/20 Decimal: 0.55
0.16 Fraction: 4/25 Percent: 16%
17/100 Decimal: 0.17 Percent: 17%
0.35 Fraction: 7/20 Percent: 35%
28% Fraction: 7/25 Decimal: 0.28
62.5% Fraction: 5/8 Decimal: 0.625
Step-by-step explanation:
Answer:
0.64 Fraction: 16/25 Percent: 64%
55% Fraction: 11/20 Decimal: 0.55
0.16 Fraction: 4/25 Percent: 16%
17/100 Decimal: 0.17 Percent: 17%
0.35 Fraction: 7/20 Percent: 35%
28% Fraction: 7/25 Decimal: 0.28
62.5% Fraction: 5/8 Decimal: 0.625
Step-by-step explanation:
To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?
A.) Henry’s cousin practices with the choir
B.) Henry’s cousin has a good singing voice
C.) Henry is in the choir
D.) Henry’s cousin went to an audition
Answers
Answer:
Henry's cousin has a good singing voice
Step-by-step explanation:
Answer:
D: Henry’s cousin went to an audition.
Step-by-step explanation:
I took the test
NEED HELP NOW WILL GIVE BRAINLEIST!!!!!!b) Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points)
Answers
Answer: 9 ab is the area of the garden.
No scale or dimensions are given, so
Estimating to get a practical, reasonable answer:
Using typical walkway widths to 6 ft, it is reasonable to calculate the area the red triangle to be 486 square feet
and the area of the garden to be about 4400 square feet, rounding up.
OR
Using a metric standard of 2 meters, The area of the red triangle would be 54m²
The area of the garden would be about 500m²
Step-by-step explanation:
The area of the red triangle is [tex]A = \frac{ab}{2}[/tex] That is assuming that it is a right triangle and side a is the altitude or height of the triangle and side b is the base.
The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.
Estimating from rough measurements of the triangle and the dimensions of the garden as shown, it appears that the area of the garden is about 18 times the area of the red triangle.
The area of the triangle is half the area of a rectangle with the same side lengths a & b, so 9 ab is a good estimate of the area of the garden.
If the walkways are the typical 6 foot width found in many public gardens, and the length side b is the about 6 of those widths, and side a is about 4.5 of those widths, we can estimate the altitude to be 27 and the base to be 36 (in the proportion 3:4).
Area of the triangle estimate: A = 36ft × 27ft /2 = 486 square feet
OR
Using a metric standard, estimate a 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be A = 9m × 12m /2 = 54 m²
The area of the garden would be 9 × 54 = 486m² rounded reasonably to 500m²
Answer: 5400
Step-by-step explanation:The area of the triangle is defined as the product of half the base and the height of the triangle. The area of the triangle = 1/2 x b x h It is given that the length of the sides are as A= 90 B=120 C=150.
So, The area of the triangle = 1/2 x b x h = b x h/2 = 120 x 90/2 = 10800/2 = 5400
40 miners need to ride the elevator to the bottom of the mine. The elevator can hold 9 miners at a time. How many miners will be in the elevator on its last trip?
Answers
Answer:
the answer is 4
Step-by-step explanation:
326 ÷ 53 Then, check using multiplacation.
Answers
Answer:
the answer is 6,150
Step-by-step explanation:
Sorry if im wrong
Answer:
it is 6.150
Step-by-step explanation:
divide 360 its groups of 53 and you get 6.150
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answers
Answer:
120
Step-by-step explanation:
a^2 + b^2 = c^2
48^2 + x^2 = 52^2
2304 + x^2 = 2704
x^2 = 2704-2304
x^2 = 400
x = 20
52 + 48 + 20 =
120
At $1.47 per gallon of gas, what is the cost of 15 gallons?
Answers
Answer: $22.05
Step-by-step explanation:
We know,
1 gallon = $1.47
Then,
15 gallons = $1.47 * 15 = $22.05
Answer:
1 gallon gas = 1.47
15 gallon gas = 15×1.47
=22.05
Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost? $4.70 $6.60 $8.50 $13.75
Answers
Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99
hope this helps :)
Answer:
the answer is c, 8.50
Step-by-step explanation:
the table above shows the number of miles four different cars traveled and the amount of gasoline each car consumed. which car has the best mileage?
PLEASE HELP
Answers
Answer:
A. Pontiac
Step-by-step explanation:
Camry's mileage = Miles travelled / gallons of fuel used
= 196 / 11
= 17.82
Pontiacs mileage = Miles travelled / gallons of fuel used
= 220 / 13
= 16.92
Bluck's mileage = Miles travelled / gallons of fuel used
= 356 / 15
= 22.25
Toyotas mileage = Miles travelled / gallons of fuel used
= 583 / 21
= 27.76
The car with the best mileage is Pontiac