Evaluate without a calculator:
cot -270°
Answer:
0
Step-by-step explanation:
The cotangent function is defined as cot x = adj / opp.
The terminal side of 270 degrees is the lower half of the y-axis. The adj side is zero (0) and the opp side is -1;
Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0
The required answer is cot(-270°) is undefined
Given that cot(-270°).
To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.
First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.
cot(theta) = adjacent side / perpendicular
When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.
Thus, cot(-θ) = cot(θ).
In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.
At -270°, the terminal side of the angle lies on the negative y-axis.
cot(-270°) = cot(270°)
Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)
At 90°, the terminal side of the angle lies on the positive y-axis.
In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.
Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."
Therefore, cot(-270°) is undefined.
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Find the CIRCUMFERENCE of a circle with the DIAMETER of 11 ft.
HELP PLS
Answer:
half of 11 is: 5.5
5.5 x 3.14 x 2 = 34.54
pls solve this fast pls help me fast
15a-20+10a
What’s an equivalent fraction
Answer: =25a−20
Step-by-step explanation: Hope this help :D
Answer:
Add 15a and 10a. 25a−20
Step-by-step explanation:
How much larger is 6 x 10^5 compared to
2 x 10^3?Explain how you know.
Answer:
6 x 10^5 is 300 times greater than 2 x 10^3.
Step-by-step explanation:
Use division to compare.
(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300
6 x 10^5 is 300 times greater than 2 x 10^3.
There is 6 × 10⁵ is 300 times greater than 2 × 10³.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The exponents are given in the question, as follows:
6 × 10⁵ and 2 × 10³
The exponents in scientific notation as a shorthand for the number of zeroes in the number.
We use division to compare.
( 6 × 10⁵)/(2 × 10³)
= 6/2 × 10⁵/10³
= 3 × 10²
= 3 × 100
= 300
This means 6 × 10⁵ is 300 times greater than 2 × 10³
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After 2014 the sales of new cell phones without cameras began declining. The number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240, where x is the number of years after 2014
Answer:
60,000 people
Step-by-step explanation:
Given the number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240,
x is the number of years after 2014
We can find the number of people that bought the cell phone in 2020. In year 2020, that will be after 6years
Substitute x = 6 into the expression
y=-30x+240
y=-30(6)+240,=
y = -180 + 240
y = 60
Since y is in thousands, hence the the number of people that have bought the cell phone by 2020 is 60,000 people
use the circle below to answer the question. find mBDC
Answer: 142 degrees
mBC = 52
mCD = 90
90 + 52 = 142
find the perimeter and area of the shape based on the information provided
Answer:
If you were to attach the shape, I could help.
Fran's filing cabinet is 6ft in height, 1 1/3 ft wide, and 3ft long. She plans to paint all sides except the bottom of the cabinet. I have to Find the area of the sides she intends to paint.
Answer:
Area of the cabinet to be painted = 56 ft²
Step-by-step explanation:
The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.
Surface Area= 2 lb+ 2hb + 2lh
where l = length , b= breadth and h= height.
From the figure we see that the area of the bottom is given by length * breadth so deducting this from the total surface area of the cuboid gives the surface of the cabinet.
Area of the cabinet to be painted= lb+ 2hb + 2lh
Putting the values we get
Area of the cabinet to be painted = lb+ 2hb + 2lh
= 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)
= 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)
= 4+ 2(8) +2(18)
= 4+16+ 36
56 ft²
This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.
Find the values of x and y.
Answer:
Step-by-step explanation:
y = 5
All sides measure the same So 8y= 40 y = 5
x = 30 degrees
The straight line of 40+40 is a straigth angle of 180 Each angle of equilateral triangle is 60 degrees.So its supplementary is 120.The other 2 angles need to add to 60 (30 each) to sum 180 in a triangle
9
Find mZWVT
T
35x-2
U
93 °
W
V
7x + 5
mZWVT =
Answer:
40
Step-by-step explanation:
[tex] \frac{35x - 2 - 93}{2} = 7x + 5[/tex]
[tex] \frac{35x - 95}{2 } = 7x + 5[/tex]
[tex]17.5x - 47.5 = 7x + 5[/tex]
[tex]17.5x = 7x + 52.5[/tex]
[tex]10.5x = 52.5[/tex]
[tex]x = 5[/tex]
Plug 5 in for 7x+5.
[tex]7(5) + 5 = 40[/tex]
help out please !
Select all of the quadratic expressions in vertex form.
A (2+4)^2– 3
B (- 5)^2+ 2
C x^2+ 2x + 5
D x (x+2)
E (2+4)^2
Answer:
A C E
Step-by-step explanation:
write the equation of the line with a slope of -2/3 and a y intercept of (0, 6) in standard form *
Answer:
y=-2/3x+6
Step-by-step explanation:
5. Which is the best estimate for 83% of 194?
a. 83
b. 100
c. 140
d. 160
Answer:
d.160
Step-by-step explanation:
83% of 194 is 161.02 the closest one is 160 so that would be the best estimate.
Answer:
d. 160 because the real answer is 161.02 and d is closer
The volume of a cone is 88 pi cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.
V = one-third pi r squared h. Step 1: 88 pi = one-third pi r squared (8). Step 2: 88 pi = StartFraction 8 Over 3 EndFraction pi r squared. Step 3: StartFraction 8 Over 3 EndFraction (88) = r squared. Step 4: 234.7 = r squared. Step 5: 15.3 = r.
What is Fatima’s error?
In step 4, Fatima did not find the correct value of StartFraction 8 Over 3 EndFraction (88).
In step 2, Fatima should not have multiplied One-third and 8.
In step 3, Fatima did not multiply 88 by the reciprocal of StartFraction 8 Over 3 EndFraction.
In step 1, Fatima did not substitute the correct value for the height in the formula.
Answer:
c
did it on edg:D
mark brainliest please need it for a new rank
Answer:
C or "In step 3, Fatima did not multiply 88 by the reciprocal of 8/3"
Step-by-step explanation:
Sarah is filling 6 vases with water. Each vase will get of a liter of water. How many liters of water will be in the 6 vases? A. B. C. D.
A water pipe has a flow of 2 gallons per minute how many 2 qt could fill it in 1/2 hour?
Answer:
60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120
Step-by-step explanation:
Hope this helps!
please please help me
(the number in the photo is 20 and then the letter is x)
(also if you can pls go to my profile and answer the question underneath this one)
Answer:
20°
Step-by-step explanation:
for alternate angles
Answer:
angle x= 20°
I hope it's helps you
PLEASE HELP!!!
Which line is the best model for the data in the scatter plot?
Answer:
top left
Step-by-step explanation:
it goes through the most dots
2x + 10 =28
What is the solution to this equation?
What is the slope of the line that passes through the points (-2, -5) and (6, 7)? A.3/2 B.2/3 C.-3/2 D.-2/3
Answer:
3/2
Step-by-step explanation:
y2 - y1/ x2 - x1
7 -(-5) / 6 - (-2)
12/ 8
3/2
Convert 60% into a decimal and a Fraction(Simplify)
Decimal
Fraction
Answer:
decimal: .6
fraction: 3/5
b) solve for x if x² +3x - 4 <0
Answer:
x=4,−1
Step-by-step explanation:
hope i helped
plz mark me brainlest
and have a nice day:)
I'm not sure of the question but that's the picture
Answer:
The answer is the first one
Step-by-step explanation:
[tex]46.2 \: {ft}^{2} [/tex]
Yha it is bad question :)
I hope that is useful for you
23.
Maria has a rectangular cookie sheet that measures 10 in. by 14 in. What is the approximate
length of the diagonal of the cookie sheet?
A.
B.
17 in.
4 in.
C.
D.
296 in.
24 in.
plz help with the problem
add it and you will get 24 so pick D
Need help with number 6 please.
Answer: D
Step-by-step explanation:
36.20/10= 3.62
3.62x7= 25.34
$25.34
PLEASE HELP ASAPPPP!!!!!!!
here is a screenshot of the math problem
The vertices of triangle ABC are A(−2, 3), B(4, 3), and C(−2, −4). The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number.
Answer:
Use dynamic geometry software to draw any triangle and label it △ABC. a. Dilate △ABC using a scale factor of 2 and a center of dilation at the origin to form ... the scale factor is k = 3. —. 2 . So, the dilation is an enlargement. b. Because. CP′ ... Graph △ABC with vertices A(2, 1), B(4, 1), and C(4, −1) and its image after a.
Step-by-step explanation:
please help!!!
i need help with this
Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
a) (2xy + 4x) + (15xy - 5x) = 2xy + 15xy + 4x - 5x
= 17xy - x
b) (6a + 4b² - 3) + (3b² - 5) = 6a + 4b² + 3b² - 3 - 5
= 6a + 7b² - 8
c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ - 3x² + 8x² + 4x - 5x
= 4x³ + 5x² - x
d) (7b - 6a + 9y) - (12b + 5a - 2y) =
In subtraction, add the additive inverse of (12b + 5a - 2y)
additive inverse = - 12b - 5a + 2y
(7b - 6a + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y -12b -5a + 2y
= 7b - 12b -6a - 5a + 9y + 2y
= -5b - 11a + 11y
e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)
Additive inverse of 13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y
(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y
= 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y
= -2x² - 6x - 7 + 15y
If x = 2 and y=5, what is the value of the expression below?
7x + y2
a. 24
b. 39
c. 82
d. 97