Answers
Answer:
are this the answers?
Step-by-step explanation:
The value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.
What is the property of a straight angle?The property of straight angle says that, the angle of a straight line is equal to the 180 degrees.
It can also be define as the sum of all the angle made on the straight line is equal to the 180 degrees.
For the first problem, the line GE, which is the diameter of the circle has two angles over it (x-3) degree and (12x-25) degrees.
For the diameter GE the sum of these two angle will be equal to 180 degrees. Thus,
[tex](x-3)+(12x-25)=180\\x-3+12x-25=180\\13x-28=180\\13x=180+28\\x=\dfrac{208}{13}\\x=16^o[/tex]
The value of mDE will be equal to (12x-25) as it is verticle angle of mGF. Thus,
[tex]arcDE=(12x-25)\\arcDE=(12(16)-25)\\arcDE=167^o[/tex]
Similarly the value of mEF
[tex]arcEF=(x-3)\\arcEF=(16-3)\\arcEF=13^o[/tex]
Let the radius of the circle is R. Then the measure of arc DFG is equal to the sum of areDEF and arc GF. Thus,
[tex]arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R \angle GHF}{360}\\arcDFG=\dfrac{2\pi R}{2}+\dfrac{2 \pi R (167^o)}{360}\\arcDFG=6.056R[/tex]
For the second problem, the angle MN and QO are equal due to the vertical angle property. Therefore,
[tex](10x-45)=(6x-1)\\10x-6x=-1+45\\4x=44\\x=11[/tex]
The value of mMN is,
[tex]MN=(10x-45)\\MN=(10(11)-45)\\MN=65^o[/tex]
The value of NP using the property of straight line for line segment MP can be given as,
[tex]NP=180-MN\\NP=180-65\\NP=115^o[/tex]
Thus, the value of x is 16 degrees and the measure of the arc DFG for circles of homework 2 are 1 6.056 times radius of circle.
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Related Questions
Describe how the distributive property can be used when doing this calculation
Answers
Answer:
Step-by-step explanation:
9 (10 - 3)
you use this to get rid of the number outside of the () in this case it'd be a 9
90 - 27
please help asap......
Answers
Answer:
third one and fifth
Step-by-step explanation:
Ayo who knows how to do this? plz help
Answers
Answer:
Step-by-step explanation:
m∠AOB = 72°
m∠A = 54°
A truck travels 90 miles on 6 gallons of gas.
What is the rate the truck travels in miles per gallon?
Answers
Answer:
15 miles per gallon
Step-by-step explanation:
Divide miles travelled by gallons used, that is
90 ÷ 6 = 15 miles per gallon
The rate of the truck is 15 miles per gallon.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a truck travels 90 miles on 6 gallons of gas. The rate of truck will be calculated as:-
Divide miles travelled by gallons used, that is
Rate = 90 ÷ 6
Rate = 15 miles per gallon
Hence, the rateis 15 miles per gallon.
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A taxi driver charges you $1.50 for the first mile and $.90 for each additional mile. How far could you go for $20.00 if you give the driver a $2.00 tip?
Answers
Answer:
You can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.
Step-by-step explanation:
From the information provided, you can say that the total cost of the taxi is equal to the cost of the first mile plus the price for each additional mile for the number of additional miles, which can be expressed as:
c=1.50+0.90(x-1), where
c is the total cost
x is the number of miles
Now, if you want to determine how far you can go for $20 if you give the driver a $2.00 tip, first you have to subtract the tip from the amount you have:
20-2=18
Then, you know that you have $18 for the cost of the taxi and you can replace c with this value and solve for x to find the number of miles:
18=1.50+0.90(x-1)
18-1.50=0.90x-0.90
16.5+0.90=0.90x
17.4=0.90x
x=17.4/0.9
x=19.33
According to this, the answer is that you can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.
Answer:
You can go 19.33 mile
Select the correct answer.
Consider the graph of the function f(x) = e^x.
Answers
Answer:
Option A
Step-by-step explanation:
Equation of the graph → f(x) = eˣ
Range of the given function is (0, ∞).
If the graph of the given function is translated by 3 units up.
New function will be,
g(x) = eˣ + 3
And the range of the new function will be (3, ∞).
Option A will be the correct option.
The range of the new function will be (3, ∞).
What is the range of a function ?
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain
Equation of the graph → f(x) = eˣ
Range of the given function is (0, ∞).
If the graph of the given function is translated by 3 units up.
New function will be,
g(x) = eˣ + 3
And the range of the new function will be (3, ∞).
Therefore , Option A will be the correct answer.
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Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and ten inches tall. Sam fills the aquarium with water so that one inch of space remains at the top. How many cubic inches of water are in Sam's aquarium?
Answers
Answer: [tex]1728\ in.^3[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular base aquarium is [tex]24\ in.\times 8\ in.\times 10\ in.[/tex]
The gap between top and water level is [tex]1\ in.[/tex] i.e. water is filled up to a height of [tex]10-1=9\ in.[/tex]
Now, the dimensions of the water in the aquarium is [tex]24\ in.\times 8\ in.\times 9\ in.[/tex]
The volume of a rectangular base prism is [tex]l\times b\times h[/tex]
The volume of water in the aquarium is
[tex]\Rightarrow V=24\times 8\times 9=1728\ in.^3[/tex]
HELP ME NOW PLEASE AND THANK YOUUU !! Asap on this questions
Answers
Answer:
y ≥ -1/2x + 1
Step-by-step explanation:
Not the 1st choice since it's going down
Not the 2nd choice since it's solid line
It's the 3rd choice
Answer:
y ≥ -1/2x + 1
Step-by-step explanation:
Hope this helps
2. FIND THE AREA OF THE SHADED
REGION. help me plzz !.!.!.
Answers
What is measure of the missing angle? HELP
Answers
(2x - 7) + ( x + 4) = 90°
2x + x - 7 + 4 = 90°
3x - 3 = 90°
3x = 90 + 3
3x = 93
x = 93/3
x = 31°
▪2x - 7
= (2 . 31) - 7
= 62 - 7
= 55°
▪x + 4
= 31 + 4
= 35°
#CMIIWApples cost $2 per pound at the local price club, but
the club has a membership fee of $50. Write an
equation to determine how many pounds (p) of apples
you can buy for $58.
(What’s the answer????)
Answers
Answer:
x=4
Step-by-step explanation:
y=2x+50
58=2x+50
8=2x
x=4
hola porfavor me pueden ayudar
Answers
a= esta bien
c= >
b= >
e= esta bien
d= >
f= esta bien
g= esta bien
h= <
La que dicen está bien es porque estan bien y las otras son las respuestas de la que están mal
que tengas un buen dia :)
plss plss help mee :0
find the range of the function y=3-x when the domain is (-2,0,3)
Answers
Answer:
y=3−x
(−2,0,3)
What is the total surface area of the triangular prism shown?
Select one:
161 square centimeters
120 square centimeters
136 square centimeters
100 square centimeters
Answers
Explanation:
solve x for this equation
Answers
Answer:
try c
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Step 1: Cross-multiply.
9(x−4)/6=x+2/2
9(x−4)*(2)=(x+2)*(6)
18x−72=6x+12
Step 2: Subtract 6x from both sides.
18x−72−6x=6x+12−6x
12x−72=12
Step 3: Add 72 to both sides.
12x−72+72=12+72
12x=84
Step 4: Divide both sides by 12.
12x/12=84/12
x=7
Answer:
x=7
Given the related graph for each equation, determine which quadratic equation has no real number solutions
Answers
Answer:
It is B i just took the instruction 0= -2(x - 2)^2 - 6
Step-by-step explanation:
Write the interval (1,8] as an inequality
Helppp please fast
Answers
Answer:
1 < n < 8
Step-by-step explanation:
Which expression is equivalent to 5^10 · 5^5
A. 5^2
B. 5^5
C. 5^15
D. 5^50
Answers
What are the mean, variance, and standard deviation of these values? Round to the nearest tenth. 12, 13, 15, 4, 11, 12
Plz help
Answers
Answer:
i. Mean = 11.2
ii. Variance = 14.17
iii. Standard deviation = 3.76
Step-by-step explanation:
i. Mean, m = [tex]\frac{sum of the values}{number of the values}[/tex]
= [tex]\frac{4+11+12+12+13+15}{6}[/tex]
= [tex]\frac{67}{6}[/tex]
= 11.2
The mean of the given data is 11.2
ii. Variance = [tex]\frac{sum(x_{i} - m)^{2}}{n-1}[/tex]
where: [tex]x_{i}[/tex] is the value of the one observation, m is the sample mean and n is the number of data given.
= [tex]\frac{[(4-11.2)^{2}+(11-11.2)^{2} + (12-11.2)^{2} + (12-11.2)^{2} + (13-11.2)^{2} + (15-11.2)^{2}] }{6-1}[/tex]
= [tex]\frac{[51.84+0.04+0.64+0.64+3.24+14.44]}{5}[/tex]
= [tex]\frac{70.84}{5}[/tex]
= 14.168
Variance = 14.17
iii. Standard deviation = [tex]\sqrt{Variance}[/tex]
= [tex]\sqrt{14.17}[/tex]
= 3.76
Find the mean of the data in the pictograph below.
1
wands
= 2 wands
Wands each fairy owns
Wands
Glenda
Tink
Merry
Gracie
Fairy
Answers
Answer:
7
Step-by-step explanation:
each wand = 2 so you add the wands and multiply the wands by 2
then you divide the answer to the last calculation by 4
which is 28 divided by 4
which = 7
The mean of the data is 7.
What is Arithmetic Mean?The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
Given:
Glenda = 2 x 2= 4 wands
Tink = 3 x 2= 6 wands
Merry = 4 x 2= 8 wands
Gracie = 5 x 2= 10 wands'
So, Arithmetic Mean = (Sum of wands) / (Total number of wands)
= (4+ 6 +8 + 10)/4
= 28/4
= 7
Hence, the mean is 7.
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evalute
1. |-7|
2. |15|
3. |0|
4. -|5|
help asap
Answers
2. 15
3. 0
4. 5
Hopefully this is right, basically you are just turning negatives into positives I think.
Best answer = Brainliest
Answers
Answer:
D??? sorry if im wrong
Step-by-step explanation:
A father is 28 years solder than his daughter. In six years, he will be 3 times her age. Find their present ages.
Please use an algebraic equation to solve, and show your working. A photo of your working out on paper is also fine as long as I can read it.
Answers
Answer: father:45
Daughter:17
Step-by-step explanation:
Present
Father (X+28)yrs
Daughter X yrs
After 6 years father will be (X+28)+6= 3x
28+6=3x-x
34=2x
X=17yrs=daughter
Father=28+17=45yrs
You record the amounts of time you practice singing each day for 6 days. Your friend practices the same total amount of time, but for an equal number of hours each day. How long does your friend practice each day?
Answers
Answer:
mijjujihnnijnihnknijnlkuhiy7g7ygi7yygub7tgiuhguyg
Step-by-step explanation:
Simply the expression
Answers
The simplified expression is: -243v^5
hope this helps ;')
Please help find the error
Answers
Answer:
the error is they put out the answer
Step-by-step explanation:
Hey y’all! Can y’all please help me?
Solve: -14 - (-3) - 4(22 + 4)
Answers
the answer is 115
HOPE THIS HELPS
Answer:
-115
Step-by-step explanation:
Simplify 22+422+4 to 2626.
−14−(−3)−4×26
Simplify 4 times 264×26 to 104104.
−14−(−3)−104
Remove parentheses.
−14+3−104
Simplify -14+3−14+3 to -11−11.
−11−104
Simplify.
−115
A TV has an original price of
$499. Find the new price given a 10% increase
Answers
499 x 0.1 = 49.9
499 + 49.9 = 548.9
Graph the system of inequalities. Which two quadrants does the solution lie in?
Answers
Answer:
Step-by-step explanation:
y 2x=3 i really dont know
Answer:
2 and 3
Step-by-step explanation:
It lies in quadrant 2 and 3
hope the visuals help :D
HELP Asap please!!!!!
Answers
Answer:
x should be 55
Step-by-step explanation:
the acute angle is 55 and we know that the whole horizontal is 180 so calculate 180-55 to find the obtuse angle which is 125. Then subtract 70 from that to isolate for x and you get 55.