Answer:
120 and 40
Step-by-step explanation:
Given
[tex]\angle 1 = 160[/tex]
[tex]\angle 2 = 80[/tex]
Rotation = 180 degrees
Translation = 40 units down
Required
A measure of the resulting angles
180 degrees rotation
Rotation only affects the positioning of angles and does not change the measure of the angles.
So, the measure of both angles remain unchanged.
40 units down translation
This will reduce the measure of both angles by 40 degrees.
So:
[tex]\angle 1 = 160 - 40 = 120[/tex]
[tex]\angle 2 = 80 - 40 = 40[/tex]
f(2)=−14 and g(2)=13 Find (f+g)(2).
Answer: The value of (f+g)(2) = -1
Step-by-step explanation:
Given: f(2)=-14 and g(2)=13
To find: (f+g)(2)
Addition of two functions:
(f+g)(x) = f(x)+g(x)
Then, (f+g)(2) = f(2)+g(2)
(f+g)(2) = -14+13 [given]
(f+g)(2) = -1
Therefore , the value of (f+g)(2) = -1
A mom buys a water bottle and a jersey for each of the 10 players on the volleyball team. Each jersey costs $6.70. The mom spends a total of $221 for water bottles and jerseys. Enter an equation that modes the situation with u, the cost of one water bottle.
Answer:
one water bottle cost 15.4 dollars
Step-by-step explanation:
6.7 times 10 is 67
therefore the mom spent 67 dollars on jerseys
221 (total) minus 67 ( jersey) = 154
therefore she spent 154 dollars on water
154 divided by 10
=15.4
the water bottles cost 15.4 dollars
how many solutions does y equals -6x - 7 have
Answer:
Infinitely many solutions.
Step-by-step explanation:
x can be any number, and the y will change with x.
A regular hexagon is shown below. Find the value of x.
(11x + 21)°
Answer:
x=9
Step-by-step explanation:
The expression is for the interior angle of the hexagon; one interior angle is equal to .
Since an interior angle of a hexagon measures 120°, we have the equality
.
Now it is just a matter of solving for
11x=120-21
11x=99
x=99/11
x=9
The value of {x} for the hexagon shown is 9.
What is Hexagon?A hexagon is a polygon with 6 equal sides. The perimeter of a hexagon is the sum of all the six lengths. The measure of the interior angle of a hexagon is 120 degrees.
Given is to find the value of {x} in the Hexagon shown below.
The measure of the internal angle of a hexagon is 120 degrees. So, we can write -
(11x + 21) = 120
11x = 120 - 21
11x = 99
x = 9
Therefore, the value of {x} for the hexagon shown is 9.
To solve more questions on HEXAGONS, visit the link below-
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What fraction of an hour is 22 minutes?
Give your answer in its simplest form
Answer:
11 ÷ 30
Step-by-step explanation:
The computation of the fraction of an hour of 22 minutes is shown below:
As we know that
In one hour there is 60 minutes
Now the fraction would be
= 22 ÷ 60
= 11 ÷ 30
What is this question ?
what is the area of the triangle shown ?
A. 12in
B. 24in
C. 36in
D. 48in
Answer:
B 24 inches
hope this helps UwU
i need your help with math please help
Answer: 1) y= 9, 4, 1, 0, 1, 4, 9
Step-by-step explanation:
Determine the intercepts of the line.
y + 5 = 2(x + 1)
y-intercept:
T-intercept:
Answer:
3 5 minus 2 equal 3 plus 1 equals 4
Jonny is writing a program for a video game. For one part of the game he uses the
rule given below to move objects on the screen. Showing all your work, give the output that the rule gives for the inputs.
(x, y) --> (x-8.2, y+3.6)
First input: (7.6, 9.3)
Second input: (10.5, -2.1)
Answer:
[tex](-0.6,12.9)[/tex]
[tex](2.3,1.5)[/tex]
Step-by-step explanation:
Given: For one part of the game, Jonny uses the rule [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex] to move objects on the screen.
To find: outputs for the given inputs
Solution:
Given rule is [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex]
Put the first input as [tex](x,y)=(7.6,9.3)[/tex]
Output is [tex](x-8.2,y+3.6)=(7.6-8.2,9.3+3.6)=(-0.6,12.9)[/tex]
Given rule is [tex](x,y)[/tex] → [tex](x-8.2,y+3.6)[/tex]
Now, put input the second input as [tex](x,y)=(10.5,-2.1)[/tex]
Output is [tex](x-8.2,y+3.6)=(10.5-8.2,-2.1+3.6)=(2.3,1.5)[/tex]
Answer:
(-3.2 , 12.3)
(0.7 , 3.6)
The rule :
(x, y)→(x−7.5, y+6.8)
For the x - coordinate ; Subtract 7.5
For the y - coordinate `; add 6.8
First input : (4.3, 5.5)
Output :
x = 4.3 - 7.5 = - 3.2
y = 5.5 + 6.8 = 12.3
Output = (4.3, 5.5) →(-3.2 , 12.3)
Second input : (8.2, -3.2)
Output :
x = 8.2 - 7.5 = 0.7
y = - 3.2 + 6.8 = 3.6
Output = (8.2, -3.2)→(0.7 , 3.6)
The outputs obtained are :
(-3.2 , 12.3) and (0.7 , 3.6)
PLEASE SOLVE AND EXPLAIN !!!
Answer:
3.46
Step-by-step explanation:
Which value is nearest to 8? Show thinking in the space provided.
7.511 155/20 8.3%
Answer:
155/20
Step-by-step explanation:
155/20 in decimal form is 7.75, which is only 0.25 off of 8
7.511 is 0.489 off of 8
8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.
The bottom of a circular swimming pool with a diameter of
9 meters is painted blue. How many square meters are blue?
Answer: hi
Step-by-step explanation: sorry needed points
If f(x) = x* and g(x) = 3+8x?, find g(f(x)).
g(8x-3)=x
have a good day
hotel has 44 storeys Each storey has 18 rooms
What is the total number of rooms in the hotel?
Answer:
792
Step-by-step explanation:
What Is the dependent variable the shoe size or the height
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X
b. Compute E[X]
Answer:
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) = 1.9
Step-by-step explanation:
From the question above:
X ; number of misses
For :
X = 0 ; P(X = 0) = 1/3 = 0.333
X = 1 ; misses first ; succeeds on second
P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167
X = 2 ; misses first, misses second, succeeds on third
P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10
X = 3 :misses first, misses second, misses third succeeds on fourth
P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067
X= 4
P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) :
Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)
0 + 0.167 + 0.2 + 0.201 + 1.332
= 1.9
HELP PLEASE
68 POINTS!
BRAINLIEST
You can zoom in on the photo for it to be clearer!!
Please hurry I have 2 weeks of school left I need to pass
Answer:
41.5 hours
Step-by-step explanation:
310.42 divided by 7.48 = 41.5 hours
How many solutions does 5x+24=5(x+5)
Answer:
There are no solutions.
Select the term for what a manufacturer spends for goods or services.
A.
cost
B.
price
C.
markup
Answer:
A: Cost
Step-by-step explanation:
Plato
que es una fracion ?
ayudenme plisssssssssssss
Answer:
Parte dividida o separada de un todo considerada por separado.
Step-by-step explanation:
Answer:
Una cantidad numérica que no es un número entero.
Step-by-step explanation:
Mrs. Crosland asked students to factor the expression 282
8. The students offered the answers shown in the box.
Carlos:
Danny
Trener
2(14%
74x1)
407x - 2)
Which student(s) offered answer(s) equivalent to the original expression?
only Danny
only Irene
both Carlos and Danny
both Carlos and Irene
Well formatted version of the question can be found in the picture attached below :
Answer:
Both Carlos and Irene
Step-by-step explanation:
Given the expression (28x - 8)
Carlos : 2(14x - 4)
Danny : 7(4x - 1)
Irene : 4(7x - 2)
The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :
Carlos :
2(14x - 4)
2*14x - 2*4
28x - 8
Danny :
7(4x - 1)
7*4x - 7*1
28x - 7
Irene :
4(7x - 2)
4*7x - 4*2
28x - 8
From.the expanded solutions obtained ;
Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct
Which graph represents the solution to (x – 3)2 + (y + 4)2 > 36?
Answer:
second choice
Step-by-step explanation:
edge
The region outside the circle is under the consideration. Then the correct option is B.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
The inequality equation of the graph is given below.
(x – 3)² + (y + 4)² > 36
(x – 3)² + (y + 4)² > 6²
From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).
The region outside the circle is under the consideration.
Then the correct option is B.
The graph is given below.
Learn more about the equation of a circle here:
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Augustus ruled the roman empire from 27 BC to AD 14.For how many years did he rule?
Answer:
40 years
Step-by-step explanation:
He was also the first Roman Emperor
Please help I need it! Will give brainliest
Answer:
74880
or if your doing addition
44
Step-by-step explanation:
6*12*4*4*5*13
6+12+4+4+5+13
Answer:
the area is 44
Step-by-step explanation:
the reason for it is because 13+5+4+4+12+6=44
Justin is married with one child. He works 40 hours each week at a rate of $16 per hour. His wife began working part time after their daughter was born, but still contributes about $350 to the cash inflow each month. Their monthly cash outflow is generally about $3,000. They have a balance of $2,000 in their savings account. Justin has retirement contributions taken out of his paycheck at work. They have renter’s, car and life insurance coverage.
Based on this information, what part of their financial plan should Justin and his wife work on?
Answer: it’s A
Step-by-step explanation: Edge 2021
For the function f(x) = -3sin(x) + 2, the distance between the maximum and minimum values is 6. Which statement must be true about this function? HINT: It's not B.
A. The amplitude is 3.
B. The midline is y = 3.
C. The period of the function is 3pi.
D. The range is [-3, 3].
Answer: A. The amplitude is 3.
Step-by-step explanation:
Given function : [tex]f(x) = -3sin(x) + 2[/tex]
Period of a sine function is [tex]2\pi.[/tex]
Since [tex]-1\leq \sin x \leq 1[/tex]
[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]
i.e. Range is [-1,5]
Amplitude = 3 [coefficient of sin x]
Only option A. is correct.
Match each equation with the appropriate type of factoring.
1.
12x2−44x+7
2.
18x3−2x2+27x−3
3.
x2+5x−36
4.
4x2−81
5.
32x3−4
Difference of Squares
GCF
Grouping
Quadratic Trinomial a≠1
Quadratic Trinomial a=1
Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?
Answer:
0.8
Step-by-step explanation:
Answer: 1 minute and 25 seconds
Step-by-step explanation: