The transformation rule used are the reflection over the y-axis, dilation and vertical and horizontal shift.
Transformation of coordinatesThe translation rule for reflection of the coordinate point (x, y) across the y-axis is (-x, y)
The rule (x, y) → (0.5x, 0.5y) shows a dilation of the coordinate (x, y) by a factor of 0.5. It will reduce the size of the resulting figure since the factor is less than 1.
The rule (x, y) → (x - 2, y + 2) shows that the figure then shifted horizontally by 2units to the right and up by 2units.
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If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?
The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
Given that trigonometric ratio:
[tex]tan\theta = \frac{11}{60}[/tex]
What is the tangent of an angle?The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).
So, for the given problem
Opposite side to [tex]\theta[/tex] = 11
Adjacent side to [tex]\theta[/tex] = 60
So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]
[tex]cot\theta =\frac{60}{11}[/tex]
Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
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Answer:
60/11 is correct (option c)
Step-by-step explanation:
I just took the test
write the equation of the blue line using slope intercept form (y=mx+b)
Answer:
Step-by-step explanation:
X1=-4
Y1=7
X2=-3
Y2=6
(-2,0 ) X INTERCEPT
(0,-7)Y INTERCEPT OR B
M=6-7/-3+4
M=_1
Y=-1X+-7
Buddy ran the same distance each day for 5 days.
Write an expression to model this situation. If
you use a variable, explain what it represents.
b. Evaluate your expression if Buddy ran 10 miles
each day.
Answer:
A.
One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.
d(x) = y = 5x
d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.
B.
Now if he ran 10 miles a day, just substitute 10 for x.
d(10) = y = 5(10) = 50
Please help! Will mark brainliest <3. (Click on the photo too see the question!) you need to select all angle pairs that are vertical angles.
Answer:
B and D
Step-by-step explanation:
vertical angles are ones that are formed by intersecting lines, and they are also equal to each other and opposite of each other.
its not A because they are not equal to each other.
B is correct because they are formed by intersecting line and equal to each other
C is incorrect since theres some random line that doesnt completely pass through on either side
D is correct
Kristen drank 7 cups of orange juice in the morning and 1/4 of a cup in the afternoon. How much orange juice did Kristen drink in all?
y = 4
2x + y = 14
solve using substitution
Please Help! Will Give Brainlest!
Answer:
2
Step-by-step explanation:
amplitude = distance from undisturbed position/centre line to trough or peak
Answer:
2
Step-by-step explanation:
amplitutde measures the height of the waves.
Given triangle ABC is congruent to DEC find m
Answer:
angle d = 106
Using digits, what time is represented by quarter to eleven?
Answer:
10:45
Step-by-step explanation:
Answer:
10:45 :)
Step-by-step explanation:
How can you best describe a stop sign using polygons? the sign has sides, so it is . it appears to be because the sides and angles appear to be congruent.
A polygon is a two-dimensional closed object. The polygon that best describes a stop sign is a regular octagon.
What is a polygon?A polygon is a two-dimensional closed object with n number of straight sides that is flat or planar and the value of n is always greater than 2 (n>2).
What is an octagon?An octagon is a polygon that has 8 number of sides.
As we know that a stop sign has 8 sides, therefore, the polygon that is in the shape of the stop sign is an octagon.
An octagon has 8 sides, and as it is mentioned in the problem that sides and angles appear to be congruent, therefore, the polygon must be a regular polygon.
Hence, the polygon that best describes a stop sign is a regular octagon.
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Answer:
8, an octagon, regular
Step-by-step explanation:
on e2020
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answer: x=18/5 y=127/5
Step-by-step explanation:
For both equations
1. subtract from both sides
2. divide to find what the variable equals
Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point
The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.
What is distance?Distance is actually known as the amount of space between two points. When calculating speed, it is given as:
Speed = distance ÷ time
The spy's distance in t hours:
Distance = 60 × t = 60t.
The special agent's distance in t hours:
Distance = 90 × t = 90t
The distance between them will be =
Distance of special agent minus distance of the spy: 90t - 60t = 30t.
By the time the chase begins, the distance between the spy and special agent will be:
(2 × 60mph) - 0 = 120m - 0.
= 120m.
Time taken for the special agent to catch the spy: 120 + 60t = 90t
120 = 90t - 60t
120 = 30t
t = 120/30 = 4 hours.
Speed the special agent should chase the spy:
Distance = 240 miles
Time = 4 hours.
Then Speed = 240/4 = 60mph.
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Diego invested $6,100 in a 9-month certificate of deposit paying 1.8% interest. How much interest did he earn form this investment?
Answer:
0.018
Step-by-step explanation
6,100,9a-mo,0.018
Solve for x.
4=8x - 10y
Answer:
x= 1/2 + 5y/43) Kristin's grandparents started a savings account for her when she was born. They invested $500 in an account that pays 8% interest compounded annually. Write an equation to model the amount of money in the account on Kristin's xth birthday. a. b. How much money is in the account on Kristin's 16th birthday? (Show how you got your answer!)
The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 8% per year compounded 1 times per year over 16 years is $1,712.97.
Compound interestGiven Data
Principal = $500Rate = 8%Time = 16 yearsA = P + I where
P (principal) = $500.00
I (interest) = $1,212.97
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 500.00(1 + 0.08/1)^(1)(16)
A = 500.00(1 + 0.08)6(16)
A = $1,712.97
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The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.
which of these shows a correct step for determining the center and radius of this circle? choose all that are correct.
(2x2 – 8x + 16) + (2y2 – 12y + 36) = -16 + 36
(x - 4)2 + (y - 9)2 = 5
(x2 - 4x + 4) + (y2 – 6y + 9) = -8 +13
ox? + y2 - 4x - 6y = -16
(x - 2)2 + (y - 3)2 = 5
Answer:
C, E
Step-by-step explanation:
Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.
The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...
x² +y² -4x -6y +8 = 0
Subtracting 8 puts us in better position to complete the squares.
x² +y² -4x -6y = -8
Now, we can add the squares of half the coefficients of the linear terms.
(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C
And we can simplify this to the standard form equation:
(x -2)² +(y -3)² = 5 . . . . . matches E
What is the volume of the cylinder below?
Answer:
[tex]\sf 36\pi \ units^3[/tex]
explanation:
[tex]\sf \pi r^2 h[/tex]
[tex]\sf \pi (3)^2 (4)[/tex]
[tex]\sf 36\pi \ units^3[/tex]
note: the height should be perpendicular from the cylinder's radius.
Answer:
[tex]36\pi {unit}^{3} [/tex]
# Jerry Don is here #
1. give each solid a geometric name. be as precise as you can
а
b
с
The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.
What is a geometric name?Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.
A geometric name is the name that is given to a shape. In this case, examples include triangle, circle, square, rectangle, pentagon, etc.
Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc
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Draw an example of a line RS. Label point T between points R and R. Using point T , draw ray TV.
The line RS would extend in both direction, while the ray TV would extend in one direction
What are lines?A line is an undefined term of geometry; and it can only be defined through examples. However, the general notion is that a line extends in both directions without end
What are rays?Rays are extracts from a line; that have a fixed point and an endless point
Using the above definitions, we can draw the line RS such that the point T is located on line RS and the point T extends to point V to form a ray TV
See attachment for the diagram
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I tried this but couldn't figure it out I hope ya'll can but it's this
1/3x1/6
1/18
Step-by-step explanation:
[tex] \frac{1}{3} \times \frac{1}{6} = \frac{1}{18} [/tex]
Brainliest if correct
Answer:
The answer is 21/40
Step-by-step explanation:
Hope that helps!
ASAPPPPPPPPPPPPP!!!!!!!!
Answer:
73
Step-by-step explanation:
supplementary anges are equal to 180 so e is 180-107
Answer: 73∘.
Step-by-step explanation: With supplementary angles, the two angles have to add up to 180∘. According to the question, the measure of <F is 107∘. What we need to do is make <E and <F add up to 180∘. To do this, we can subtract 107∘ from 180∘ to find <E:
180∘ - 107∘ = 73∘, which means that <F is 107∘ and <E is 73∘, which both make 180∘.
Therefore, <E is 73∘.
Have a great day! :)
Steve is tossing a normal quarter. He tosses the quarter 20 times and it lands on heads 16 times. If Steve tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.
Answer:
1/5
Step-by-step explanation:
16 out of the 20 times landed on heads, making 4/20 times it landed on tails.
16 divided by 20 is .8 which turns into 80%
100% - 80% = 20%
To simplify into a fraction:
80/100 is equivalent to 4/5 when divided by 20, leaving 1/5 to complete the fraction which later totals to 100%
Answer:
the answer is 1/2
Step-by-step explanation:
i just did it
Round to the ten millions place.
3,025,285,000
o a. 3,025,290,000
o b. 3,020,000,000
c. 3,025,000,000
d. 3,030,000,000
o e. 3,030,285,000
Help pleaseeeeeeeeeeee
Answer:
C. 72
Step-by-step explanation:
your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm
so we know cos = adjacent/ hypotenuse
so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)
after typing into calculator you should get about 72
Answer:
C
Step-by-step explanation:
cos(0)= Adjacent/Hypotenuse
cos(0)= n/p
cos(0)=2.4/7.8
cos(0)=4/13
(0)=cos‐¹(4/13)
(0)=72.07978686
(0)=72°
angle (0)= 72°
B^2-7b-8 (b=-4) evaluate the expression
Answer:
4
Step-by-step explanation:
The ratio of the number of boys to the number of girls in choir is 6 to 7. There are 70 girls in choir. How many boys are in choir?
Answer:
48
Step-by-step explanation:
what is the doamin of the function f(x)=x+1/x²-6x+8
Answer:
Step-by-step explanation:
(x+1) = domain = all real #s
(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4
Because you can not have a zero in the denominator, x≠2,4
so your domain is (-∞,2)∪(2,4)∪(4,∞)
help please A.) runner a
b.) runner b
C.) runner c
Answer:
Runner A is more consistent as all of the dots are close to the line unlike Runner B or C
Please help! Its due today!
Answer:
don't know if this is the right way butttt i'm going to give it a shot
Step-by-step explanation:
Cost: I'm guessing this is for the rent for the shoes or is the total cost?
Bowler World: 5 + 1.1g = c | c + 1.1g = t {(this is the other option) probs not correct}
Lucky Spares: 3 + 1.5g = c | c + 1.5g = t
K so personally you should choose option 1 (for example: 5 + 1.1g = c), i have no idea how the proper format is supposed to be
either i hope this helps :)