In a unit circle, ø=180°. What is the terminal point?
A. (1,0)
B. (0,-1)
C. (0,1)
D. (-1,0)
In a unit circle, θ=180, the terminal point is (-1,0)
The terminal point is (-1, 0) in a unit circle at ø=180°.
What is a circle?
A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.
The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1In a unit circle
∵ Ф = 180°
By using the third rule above
Therefore the terminal point is (-1, 0)
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Ayala biked 12.76 miles on Sunday, 3.45 miles on Monday, and 6.52 miles on Tuesday. Over those three days, about how many miles did she bike in all? Estimate the answer by rounding to the nearest whole number. 21 miles 22.73 miles 22.9 miles 23 miles
Answer:
23 miles
Step-by-step explanation:
12.76=13
3.45=3
6.52=7
13+3+7=23
Answ
23!!!
Step-by-step explanation:
I NEED HELP ASAP PLEASEEEE!!!!!
Answer:
Step-by-step explanation:
Use Pythagorean theorem.
Hypotenuse² = base² + altitude²
5) x² = 12² + 6²
= 144 + 36
x² = 180
x = √180
x = 13.42 ft
6) 25² = x² + 19²
625 = x² + 361
625 - 361 = x²
x² = 264
x = √264
x = 16.25 m
7) x² = 7² + 576
= 49 + 576
= 625
x = √625
x = 25 in
8) 2.5² = 2²+ x²
6.25 = 4 + x²
6.25 - 4 = x²
x² = 2.25
x = √2.25
x = 1.5 yd
What are all the possible Arrays for 64.
Answer:
1, 2, 4, 8, 16, 32, 64
Step-by-step explanation:
There are 6 possible arrays for 64.
What is an array?An array is a set of items, images, or numbers arranged in rows and columns. Arrays are practical illustrations of multiplication ideas.
The given number is,
64.
To find the array for the number 64,
Find factors of 64.
Factors
= 64, 32, 16, 8, 4, 2, 1
The number of factors = 6
Hence, total 6 possible arrays for 64.
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Helpp!! Determine whether the lines are parallel, perpendicular, or neither. 2x−10y=14 and y=−5x+9. Show work
Pleasee help meee
Answer:
Perpendicular
Step-by-step explanation:
2x-10y=14
-2x -2x
-10y=14-2x
/-10 /-10
y=14+1/5
in order for them to be perpendicular the slope has to be the complete opposite to be more exact the number has to be flipped and so does the sign and since -5 was flipped to +1/5 it shows that they would be perpendicular
( sorry if this doesn't make sense, its hard to explain it virtually.)
b) Name the triangle based on its angles.
Answer: A triangle can either be... an
Acute-angled triangle.
Obtuse-angled triangle.
Right-angled triangle.
Step-by-step explanation: Here is an image of each type of triangle based on its angles.
What is the distance between the following points?
Answer:
11
Step-by-step explanation:
there are 11 spaces between the points
just count the number of spaces, no calculations needed.
write 3 over 11 as a ratio using a colon
Answer:
3/11
3:11
Step-by-step explanation:
Answer:
3:11 or/and 3/11
Step-by-step explanation:
x^2 + x - 11 = 13 - 4x
10. The model below represents an equation.
What is the solution to the equation?
A. X= 3
B. X= 4 1/3
C. 13
D. 19
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Can anyone help? Please, I don’t know the answer, thank you
please help me out on this !!!
Answer:
Tu is your answer hope it helps you
Evaluate (1/9)2•(3/4)2
Answer:
exact form:1/3
Step-by-step explanation:
Solve the problem.
Rob, a marine biologist, observes
a dolphin pod with a 6:4
male-to-female ratlo. The pod
has 18 males. How many more
males than females are in the
dolphin pod?
Answer:
all the time 8:6
Step-by-step explanation:
The area of a rectangle is 99yd^2, and the length of the rectangle is 7 wyd more than twice the width. Find the dimensions of the rectangle.
Law = 99 sq.
L = 2w + 7
---
Law = 99
(2w + 7)w = 99
2ww + 7w = 99
2ww + 7w - 99 = 0
---
the above quadratic equation is in standard form, with a=2, b=7, and c=-99
---
to solve the quadratic equation, plug this:
2 7 -99
the roots of the quadratic are:
-9
5.5
---
the negative root doesn't make sense as a length, so use the positive root:
---
w = 5.5
L = 18
---
At a pizza restaurant, Mason earns $7.25 per hour to deliver pizzas and $9.00 per hour to make pizzas. One week he earned total of $288.75. During that week he made pizzas for 20 hours. The equation 7.25h + 9(20) = 288.75 could be used to find h, the number of hours he spent delivering pizzas. How many hours that he spent delivering pizzas?
7.25h + 9(20) = 288.75
Multiply 9 by 20:
7.25h + 180 = 288.75
Subtract 180 from both sides:
7.25h = 108.75
Divide both sides by 7.25
h = 108.75 / 7.25
h = 15
He spent 15 hours delivering pizzas.
Answer:
12
Step-by-step explanation:
9x20=180 288.75-180=108.75 108.75÷9=12.0833333333
hey guys i need this fast its due in 15 minutes and please show step by step process
What is the range of values for the measurement 500 ± 4%
Answer:
well, the first thing you need to do is find 4 percent, which is 5 times as much as 4% of 100, which is 4, 4x5 is 20 so the range of values is 480-520
Step-by-step explanation:
that kinda was ur step by step equation.
Which expression is in simplest form? a. √132 b. 3√8 c. 2√63 d. √142
Answer: d . 142
Step-by-step explanation:
Answer:
√142
Step-by-step explanation:
Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500. The next week they made 1 wedding cake and 7 birthday cakes but only made $430. What is the cost of a wedding cake? What is the cost of a birthday cake?
Answer:
Cost of Wedding cakes = x = $150
Cost of Birthday cakes = y = $40
Step-by-step explanation:
Let us represent:
Cost of Wedding cakes = x
Cost of Birthday cakes = y
Crazy cakes makes wedding cakes and birthday cakes. One week they made 2 wedding cakes and 5 birthday cakes and made $500.
2x + 5y = 500..... Equation 1
The next week they made 1 wedding cake and 7 birthday cakes but only made $430.
x + 7y = 430..... Equation 2
x = 430 - 7y
We substitute 430 - 7y for x in Equation 1
2x + 5y = 500..... Equation 1
2(430 - 7y ) + 5y = 500
860 - 14y + 5y = 500
860 - 500 = 14y - 5y
360 = 9y
y = 360/9
y = $40
Solving for x
x = 430 - 7y
x = 430 - 7(40)
x = 430 - 280
x = $150
Therefore:
Cost of Wedding cakes = x = $150
Cost of Birthday cakes = y = $40
Solve the following. Once you simplify the equation, you will write it on the line. Then list the integers you found as the answers in order from
least to greatest
The sum of two consecutive integers is 53. What are the two integers?
Equation:
Integers:
Answer:
Equation: 2x+1 = 53 (x is 26)
Integers: 26, 27
Step-by-step explanation:
53 is the sum of 2 consecutive integers. That means one of the integers is one larger than the other. This means that twice one integer plus one equals 53, so the equation becomes x + (x + 1) = 53.
x + (x+1) = 53
Combine x and x to get 2x.
2x + 1 = 53
Subtract 1 from both sides to cancel the +1.
2x = 52
Divide both sides by 2 to undo the multiplication by 2.
x = 26
With this we know the first integer is 26. The second is one more than that, so that's 27. So the two integers here are 26 and 27.
Sean paints 8/15 of a fence in 1 hour. He paints 3/10 of the fence less in the second hour. What fraction of the fence did he paint in two hours? Did he finish the job in two hours?
Answer: [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Given
Sean paints [tex]\frac{8}{15}[/tex] of a fence in 1 hour
Sean paints [tex]\frac{3}{10}[/tex] part less in the second hour
So, fraction he paints in the second hour = [tex]\frac{8}{15}-\frac{3}{10}=\frac{16-9}{30}=\frac{7}{30}[/tex]
Paint in 2 hours = [tex]\frac{8}{15}+\frac{7}{30}=\frac{16-7}{30}=\frac{9}{30}[/tex]
=[tex]\frac{3}{10}[/tex]
No, he did not finish his job
what is 47.15 with 20% tip
Answer:
$9.43
Step-by-step explanation:
$47.15 x 0.2 = $9.43
Answer:
$47.15 with a 20% tip would equal to $9.43.
Step-by-step explanation:
47.15 x 20% = $9.43.
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = -2x-5
Step-by-step explanation:
So to calculate the slope the equation is y1-y2/x1-x2. We substitute in two points, let's use (-3,1) as x1 and y1, and (1,-7) as x2 and y2. Put those points in the equation and you get -7-1/1-(-3), which is -2. Now you have y=-2x+b
To get b plug in a pair of points to the equations, say (1,-7). -7=-2(1)+b, solve that and you get b=-5.
So y=-2x-5.
Learning Task 3: Find the rate. 1) 1 is what percent of 10? 1 2) 10 is what percent of 20? 10 3) 5 is what percent of 25? 5 4) What percent of 80 is 56? 56 5) What percent of 20 is 15? 16 6) 14 is what percent of 35? 7) 27 is what percent of 48? 8) What percent of 12 is 10? 9) What percent of 24 is 0.12? 10) 3,150 is what percent 9000?
Answer:
1) 10%
2) 50%
3)20%
4)70%
5)75%
6)40%
7)56.25%
8)83.33%
10)35%
Step-by-step explanation:
1) write it as a fraction 1/10 = 0.10 multiply by 100 to remove the decimal point you are left with 10 so the answer is 10%
2) write as a fraction 10/20. Simplify 10 divided by 10 =1
20 divided by 10 =2
Write as a fraction 1/2 = 0.50 multiply by 100 to remove decimal point to get 50. So the answer is 50%
Henry rolls a fair dice 24 times. How many times would Henry expect to roll a five?
Answer:
4
Step-by-step explanation:
if there are 6 numbers on the dice and he rolls it 24 times all you have to do is 24/6 and you get that he is expect to get a 5 4 times
Answer:
4
Step-by-step explanation:
got the answer Hegarty maths
Help please i’ll give u brainlist!!!
To find the answer to this problem, you can tell first that the entire rhombus is 360 degrees. And PLA is the same as ANP so ANP is 122 degrees.
360 - 122 + 122 = 116
116 divided by 2 = 58
measure LPN is 58 degrees
and half of 58 is 29
so measure LPA is 29 degrees
What is the answer of 463 divided by 60?
Answer: 7.71666667
Step-by-step explanation:
Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet. Triangle A B C is shown. The length of A B is 13 feet, the length of B C is 10 ft, and the length of A C is b. Angle B C A is 50 degrees. Trigonometric area formula: Area = One-half a b sine (C) To the nearest foot, what amount of fencing is needed to surround the perimeter of the flower bed? 17 feet 33 feet 40 feet 50 feet
Answer:
40 feet
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.
The area of triangle ABC is given as:
Area = (1/2) * AC * BC * sin(C)
But C = 50°, Area = 65.1 ft², BC = 10 ft, AC = b, AB = 13 feet.
Substituting gives:
65.1 = (1/2) * b * 10 * sin(50)
3.83b = 65.1
b = 17 ft
Perimeter of ΔABC = AB + AC + BC = 17 + 13 + 10
Perimeter of ΔABC = 40 feet
Answer:
40 feet
Step-by-step explanation:
trust
What value of x makes 3/4x + 5 = 11 true?
Answer:
x=8
Step-by-step explanation:
3/4x + 5 = 11
3/4x = 6
x = 8
