The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
What is counterclockwise ?
Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.
According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:
(x', y') = (-y, x)
where (x, y) is the original point and (x', y') is the new point after the rotation
Plugging in the values from the given point, we get:
(x', y') = (-(-8), -7)
Simplifying this expression, we get:
(x', y') = (8, -7)
Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
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GIVING BRAINLIST!!!
Danielle borrows $2.500 from the bank at 6%
simple interest for 5 years. How much is
Danielle going to pay in interest?
6. (Show work there)
all
Answer:
150
2.500/6%
not 100% sure tho
Answer: 1 = 2,500 x 0.06 x 5
PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
50 points. Can someone draw me the diagram.
If someone can draw it for me I'll be able to finish the rest myself. I'm just confused about what it is I'm supposed to draw. The directions are in the picture.
Answer:
*screenshot
Step-by-step explanation:
I tried my best drawing digitally
Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Enter the exact answer as a decimal.
The final statement is: Area of triangle is equal to 83.65 cm²
What is the Area of a Triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm
Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm
Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]
=[tex]\sqrt{6998.401}[/tex]
=83.65 cm²
Hence, The area of the triangle is equal to 53.65 cm²
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Simplify the expression. Explain each step.
5.3 + (W + 1.2)
Find the coordinates of the center of this circle: (x - 9) ^ 2 + (y + 4) ^ 2 = 16
Answer: center is (9, -4)
Step-by-step explanation:
Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.
Answer:
$4242
Step-by-step explanation:
Given data
Principal= $14000
TIme = 4 years
Rate= 6.85%
Let us find the final amount A
A=P(1+r)^t
substitute
A=14000(1+0.0685)^4
A=14000(1.0685)^4
A=14000*1.303
A=$18242
Hence the interest is
Interest= Final amount-Principal
=18242-14000
=$4242
2) Jill is a pharmaceutical sales-person for Rx 'R
Us. She is paid a monthly salary of $4800
plus 5°. commission on sales. How much yearly
sales does Jill have to generate in order for her
yearly pay to be $50.000?
A) $240.000
B) $250.000
C) $260,000
D) $270,000
E) $280,000
There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?
Answer:
7 penguins are in the water.
21 penguins in all.
Step-by-step explanation:
14 penguins on the rocks.
Half of them equals 7 are in the water swimming.
7 + 14 = 21
7 penguins are in the water.
21 penguins in all.
The number of penguins in water = 7 penguins
The total number of penguins = 21 penguins
Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.
From the information given:
There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimmingThus, the number of penguins in water = 7 penguins
The total number of penguins overall = penguins in water + penguins on the rock
The total number of penguins overall = 7 + 14
The total number of penguins overall = 21 penguins
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An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.
Answer:
The crow eats more food per day.
Step-by-step explanation:
eagle eats 1 pound per day.
crow eats 3 pounds/2 days -> 1.5 pounds per day
1.5 > 1
Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
What is categorical data
Answer:
Categorical variables represent types of data which may be divided into groups. It can not measure.
Step-by-step explanation:
X
Review -
Bookmark
of 15
Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?
Answer:
He would be making 544.8$ each week
Step-by-step explanation:
question is in picture i forgot how to do this and my sister is working on it rn anyone help?
Answer:
it's A.
Step-by-step explanation:
so basically an open circle means < or >
a closed circle (the filled in one) means greater/least than or equal to
the sign > with an equal sign under it
hope this helps I forgot too for a minute lol
If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am
Answer:
12am
Step-by-step explanation:
Add 6 hrs to 6pm, you will get 12am
Answer: 12
Step-by-step explanation:
4. What is the slope-intercept equation of the
line that goes through the points (1, 5) and
(2,8)?
A. y = 2x - 3
B. y = x + 1
C. y = 3x + 2
D. y =- 1.5x – 2
Answer:
Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it
ilgram surveyed both a panel of Yale undergraduates and a panel of psychology professors before he conducted his original experiment. In these surveys, he found that __________.most people predicted that less than 1 percent of participants would go to 450 voltsmost people predicted that less than 10 percent of participants would go to 450 voltsmost people predicted that a majority of participants would go to 450 voltsstudents underestimated the percentage who would go all the way to 450 volts, while professors' estimates were fairly accurate
Answer:
The answer is "Choice A"
Step-by-step explanation:
Please find the numbering of the question in the attached file.
Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.
please help!!
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
2(8x) = 64
x = 4
Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:
NO CAP PLEASE, TAKE YOUR TIME!!!
Answer:
Perimeter = 82 units
Step-by-step explanation:
Find:
Perimeter
Computation:
Unknown height = 13 + x
So,
25² = x² + 24²
x = 7
So,
Unknown height = 13 + 7
Unknown height = 20 unit
Perimeter = 25 + 24 + 13 + 20
Perimeter = 82 units
someone help me pls ♀️
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Answer: 7 anchors and 2 floats
I hope this helped!
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2a + 3b = 5
b = a - 5
Answer for A:
[tex]a = \frac{5 - 3b}{2} [/tex]
Answer for B:
[tex]b = \frac{5 - 2b}{3} [/tex]
2nd Equation:Answer:
[tex]a = b + 5[/tex]
hope it helps.
w3=24
Question 4 options:
w = 8
w = 72
w = 12
w = 6
Answer:
w=8
Step-by-step explanation:
i took the k12 test
mathematical literacy
[tex]79 \times 85[/tex]
Answer:
6715
Step-by-step explanation:
I hope this helps, :)
PLEASE HELP ASAP
Two lines intersect in the figure.
What is the value of x?
Answer:
x=17°
Step-by-step explanation:
5x+6=91 (vertically opposite ∠'s equal)
5x= 91-6
5x= 85
x= 85/5
x= 17°
Which expression has the greatest value?
Answer:
the last one
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] and [tex]16^{3/2}[/tex] expressions have the greatest value.
What is square root and cube root of a number?
Square root of a number results a number that when square, gives us the previous number.
Similarly, cube root of a number results a number that when cubed, gives us the previous number.
Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64
[tex]16^{3/2}[/tex] = 4³ = 64
[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16
√(16²) = √(16 × 16) = 16
Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.
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Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5
Pls help
Step-by-step explanation:
babababababababbababavavabababababa
3
Carl's baseball team is selling
trash bags to raise money for
uniforms and equipment. Each
player starts with a credit of $50
towards their sales, and each roll of
trash bags sells for $8. Determine
how many rolls of trash bags each
person must sell to make $300.
Answer:
32
Step-by-step explanation:
One member would make 250$ by selling 31.25 rolls. Which if you round up you get 32. You can't sell a quarter of a roll so you must go up one therefore the answer is one person must sell 32 rolls in order to make 300$ including the 50$ already towards his credit.
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
Which is the graph of the linear inequality 1/2x-2y>-6y
Answer: Are you high school because GOD that looks hard to do.
Step-by-step explanation:
Please help me with this.
Answer:
105
Step-by-step explanation: