Answers
Answer: 180
Step-by-step explanation:
1) Add the two angles together
160 + 20 = 180
180
You can tell this because a 180-degree line is flat, just like in this picture.
Related Questions
A clone has a volume of 1, 526.81 mm^3 and a height of 19mm. Find the radius of the cone
Answers
Radius of the cone is 8.75mm.
What is volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given Data
Volume = 1526.81 mm³
Height = 19mm
Formula of volume of cone:
V= [tex]\frac{1}{3}[/tex]πr²h
Equating values,
1526.81 = [tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]r²×19
[tex]\frac{1526.81(3)(7)}{22(19)}[/tex] = r²
76.7 = r²
r = 8.75
So,
Radius of the cone is 8.75mm.
To learn more about volume, visit:
https://brainly.com/question/13338592
#SPJ10
A rectangle as shown has a length of 11 centimeters and a width of 4.2 centimeters. A circle is drawn inside that touches the rectangle at two points. Which is the closest to the total area of the shaded region?A. 9.19 cm squaredB. 101.59 cm squared C. 60.05 cm squared D. 32.35 cm squared
Answers
The area of a rectangle can be calculated with this formula:
[tex]A_r=lw[/tex]Where "l" is the length and "w" is the width.
The area of a circle can be found with this formula:
[tex]A_c=\pi r^2[/tex]Where "r" is the radius of the circle.
Let be "d" the diameter of the circle shown in the picture. Since it touches the rectangle at two points, you can identify that:
[tex]d=w[/tex]Since the radius of a circle is half the diameter, in this case this is:
[tex]d=\frac{4.2cm}{2}=2.1\operatorname{cm}[/tex]Therefore, the area of the circle is:
[tex]A_c=\pi(2.1\operatorname{cm})^2=13.85\operatorname{cm}^2[/tex]Now you must find the total area of the rectangle. Knowing that:
[tex]\begin{gathered} l=11\operatorname{cm} \\ w=4.2\operatorname{cm} \end{gathered}[/tex]You get:
[tex]A_r=(11\operatorname{cm})(4.2\operatorname{cm})=46.2\operatorname{cm}^2[/tex]In order to find the total area of the shaded region, you must subtract the total area of the rectangle and the area of the circle. Then, this is:
[tex]A_{sr}=46.2\operatorname{cm}-13.85\operatorname{cm}=32.35\operatorname{cm}^2[/tex]The answer is: Option D.
a binomial experiment with probability of success and trials is conducted. what is the probability that the experiment results in exactly successes? do not round your intermediate computations, and round your answer to three decimal places. (if necessary, consult a list of formulas.)
Answers
The probability that the experiment results in exactly successes is; [tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Consider that we have random variable X about binomial distribution with parameters n and p, then it can be written as;
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there be x successes is given as;
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are given as:
[tex]E(X) = np\\Var(X) = np(1-p)[/tex]
Hence, the probability that the experiment results in exact success are;
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
Learn more about binomial distribution here:
https://brainly.com/question/13609688
#SPJ1
what is the different between 5,781 and 57.81
Answers
Answer: 5,723.19
Step-by-step explanation:
to find the answer you subtract 57.81 from 5781 to get 5,723.19
Is that what you were asking? I hope so.
A street has the coordinates (-2, -5) and (5, 9). What is a parallel street to that one? (Write answer in slope-intercept form)
Answers
The parallel street to that one lines on the equation y = 2x -1
Slope of a LineTo find the parallel street to the one we have the points given, we have to first of all, find the slope of the given point and then pick a coordinate.
Point A = (-2, -5)Point B = (5, 9)Using the value above, let's find the slope of the line.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
Let's substitute the values into the equation and solve.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{9 - (-5)}{5 - (-2)} \\m = \frac{14}{7} \\m = 2[/tex]
The slope of the line is equal to 2.
Let's use this to find the equation of the line
[tex]y = mx + c[/tex]
Using one of the points,
[tex]y = mx + c\\9 = 2(5) + c\\9 = 10 + c\\c = - 1\\[/tex]
The equation of the line is
[tex]y = 2x - 1[/tex]
From the calculation above, the equation of the line is y = 2x - 1
Learn more about slope here;
https://brainly.com/question/3493733
#SPJ1
PLEASE HELP 50 POINTS + BRAINLY FOR ALL AND CORRECT ANSWERS!!!
Answers
The values of x and y in the functions are
y = 6x + 8: y = -28 and x = 2y = 2/3x: y = -4 and x = 30y = -x + 5: y = -1 and x = -15y = 6.5x + 7: y = -32 and x = 2How to determine the functions at the x and y valuesFunction 1
This is given as
y = 6x + 8
When x = -6, we have
y = 6 x -6 + 8
Evaluate
y = -28
When the equation y = 20, we have
20 = 6x + 8
Evaluate the like terms in the above function
6x = 12
Divide by 6
x = 2
Function 2
This is given as
y = 2/3x
When x = -6, we have
y = 2/3 x -6
Evaluate
y = -4
When the equation y = 20, we have
20 = 2/3x
Evaluate the like terms in the above function
20 = 2/3x
Divide by 2/3
x = 30
Function 3
This is given as
y = -x + 5
When x = -6, we have
y = -6 + 5
Evaluate
y = -1
When the equation y = 20, we have
20 = -x + 5
Evaluate the like terms in the above function
x = -15
Function 4
This is given as
y = 6.5x + 7
When x = -6, we have
y = 6.5 x -6 + 7
Evaluate
y = -32
When the equation y = 20, we have
20 = 6.5x + 7
Evaluate the like terms in the above function
6.5x = 13
Divide by 6.5
x = 2
Read more about linear functions at
https://brainly.com/question/15602982
#SPJ1
PLEASE HELP!!! Ignore the small text at the bottom.
Answers
The equation that represents the miles of the car's odometer after 2020 is y = 14000x
Odometer:
Basically Odometer is the instrument used for measuring the distance traveled by a vehicle, such as a bicycle or car.
Given,
An odometer shows that a car has traveled 56,000 miles by January 1, 2020. The car travels 14,000 miles each year.
Here we need to write an equation that represents the number y of miles on the car's odometer x years after 2020
Through the given question we know that,
x represents the year
y represents the miles
We know that, for one year it will travels 14,000 miles.
Then the equation is written as,
miles = number of years x 14000
Therefore, the equation is,
y = 14000x
To know more about Equation here.
https://brainly.com/question/10413253
#SPJ1
Is this correct? Kinda confused on what to do. (Look at picture)
Answers
Answer:
yes correct . your solution is correct
Answer:
6.5 × 10^9 kg
Step-by-step explanation:
Here is the answer to the question the way it is asked, but the question is ridiculous. 1 kernel of popcorn has a mass of perhaps 1.5 g, so 1.25 g is reasonable. That means 1 kernel has a mass of 0.00125 kg, or 1.25 × 10^-3 kg. To state that 1 kernel of popcorn has a mass of 1.25 × 10^1 means that a kernel of popcorn has a mass of 12.5 kg which corresponds to a weight of approximately 27.6 lb. That is just ridiculous.
Using the ridiculous information given in the problem, then if 1 kernel has a mass of 1.25 × 10^1 kg, then 5.2 × 10^8 kernels have a mass of
(1.25 × 10^1 kg) × (5.2 × 10^8) =
= (1.25 × 5.2) × (10^1 × 10^8) kg
= 6.5 × 10^9 kg
Your number is correct, but don't forget the units.
how do you make y squared equal 169
Answers
Answer:
13
Step-by-step explanation:
A number squared is a number multiplied by itself.
13 x 13 = 169.
The answer is 13.
Hope this helps!
P.S, Brainliest please! Thanks!
Answer:
[tex]y^{2}[/tex] = 169
Meaning that
[tex]\sqrt{y^2}[/tex] = [tex]\sqrt{169}[/tex]
Simplify...
y = 13
geometry pls help its easy im just slow
Answers
Answer:
3/7
Step-by-step explanation:
4/5÷3/4 i need to know it
Answers
To divide two fractions, simply cross-multiply as following:
that passes through the points
M (5-3) and N (8,1)
What is the slope of the line
Answers
Answer:
The slope of the line is 4/3
Step-by-step explanation:
slope = rise/run = y2-y1/x2-x1
1-(-3)/8-5 = 4/3
The slope of the line is 4/3
Why can we consider the sample mean in random samples of size n from a given population to be a random variable?.
Answers
The sample mean is indeed a random variable because the value of the sample mean depends on the characteristics of the specific random sample. The sample size multiplied by the population mean yields the expected value of the sample sum.
What is random?
The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.
What is mean?
A collection of two or more numbers' mean is simply their simple mathematical average. There are various methods for calculating the mean for a given collection of numbers, including the arithmetic mean approach, which adds up the series' values, and the geometric mean method, which averages a group of products. The majority of the time, all of the fundamental approaches to calculating a basic average, however, yield the same rough result.
As the population is a huge number and not linear in growth we prefer to take random variable.
Learn more about random , by the following link.
https://brainly.com/question/251701
#SPJ4
Liz's math test included a survey question asking how many hours students spent studying for the test. Thescatter plot below shows the relationship between how many hours students spent studying and their score onthe test. A line was fit to the data to model the relationship.Which of these linear equations best describes the given model?A) ŷ = 10x + 20B) ŷ = 20x + 20Or C) ŷ = -20x + 20Based on this equation, estimate the score for a student that spent 3.8 hours studying.Round your answer to the nearest hundredth.__________.
Answers
Answer: B. y = 20x +20
The score for a student that spent 3.8 hours studying is expected to be 96.
Step by step solution:
The point-slope form of a linear equation is y = mx + b, where m is the slope and b the intercept with the y-axis.
To find the line that fits the data and model the relationship, we need to find the slope. Let
y = Test score
x = Study time (hours)
[tex]\begin{gathered} m=\frac{y_1-y_2}{x_1-x_2} \\ (x_1,y_1_{})\text{ and }(x_2,y_2)\text{ Point in the line} \end{gathered}[/tex]Two pair of coordinates from the line are (2, 60) and (3, 80):
[tex]m=\frac{60-80}{2-3}=\frac{-20}{-1}=20[/tex]We have m = 20, and b = 20 (intercept with the y-axis)
The equation that model the relationship is:
[tex]y=20x+20[/tex]Second Part. Basing ourselves on the above equation, estimate the score for a student that spent 3.8 hours studying x = 3.8.
[tex]\begin{gathered} y=(20\cdot3.8)+20 \\ y=76+20 \\ y=96 \end{gathered}[/tex]The score for a student that spent 3.8 hours studying is expected to be 96.
THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER 3!!I NEED THIS BY **TODAY**
Answers
Answer:
y=2x
Step-by-step explanation: given (0,0) (1,2)
y=mx+b
0=(m*0)+b
0=b
2=(1*m)+
2=m
y=mx+b
y=2x
Melinda has a goal of donating at least $300 to charity this year. Her mother and father each gave her $25 to help and she is selling ribbons for $5 each. What is the least number of ribbons Melinda must sell to reach her goal?
Answers
Answer:
50
Step-by-step explanation:
25x2=50
300-50=250
250/5=50
50 ribbons needed :) hope this helped
20/24 equals 45/50 true or false
Answers
bring the fractions to a common denominator
[tex]undefined[/tex]please help me I keep getting the answer wrong
1) Record each of these numbers in expanded notation. The first one is done.
2128 = (2 x 1000) + (1 x 100) + (2 x 10) + (8 x 1) = 2000 + 100 + 20 + 8
4629 =
8338 =
Answers
Answer:
4629= (4×1000)+(6x100)+(2x10)+(9×1)=4000+600+20+9
8338=(8 x 1000)+ (3x100)+(3×10)+(8x1)=8000+300+30+8
Step-by-step explanation:
separate each number and multiply by the place its in
5th p
5th 5248987 5th 5668746i89
Find the area of the rectangle.
1 1/2 yd
58/ 8 yd
Answers
The area of the rectangle is calculated by L*B
The area of the rectangle is 10.875 yards^2.
How to calculate the area?l = 58/ 8 yd = 7.25yd
b = 1 1/2 yd = 1.5yd
Solution:
The area of the rectangle is calculated by L*B
Therefore,
L*B = 7.25* 1.5
= 10.875 yards^2.
The area of the rectangle is 10.875 yards^2.
To learn more about the area of the rectangle, refer
https://brainly.com/question/25292087
#SPJ13
Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen?
A rectangle with length 3 cubed feet and width of 3 squared feet.
Find the area.
1. Multiply powers: 32 · 33
2. Expand each power: (3 · 3) · (3 · 3 · 3)
3. Simplify: 35
Complete each sentence.
The
of the original exponent is the exponent in the power of product.
The dog pen has an area of
square feet.
Answers
If Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet
Here the Ellen's dog pen is in rectangular shape
The area of the rectangle = l × w
Where l is the length of the rectangle
w is the width of the rectangle
In this question
The length of the rectangle = [tex]3^{2}[/tex] feet
= 3×3
= 9 feet
The width of the rectangle = [tex]3^{3}[/tex] feet
= 3×3×3
= 27 feet
Then the area of the dog pen = l × w
Substitute the values in the equation
The area of the dog pen = 9×27
= 243 square feet
Hence, if Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet
Learn more about area here
brainly.com/question/20693059
#SPJ1
Sum
243
I found it on edge
Which expression can be used to find the total number of squares below?
6 × 7
7 × 5
6 × 1
7 + 5
6 + 1
Answers
7 × 5 is used to find the total number of squares.
Each has 7 small squares.
There are 5 parts,
So we can write:
7+7+7+7+7
That is adding 7 five times. By this we get the total number of square.
So by multiplying 7 by 5 we get the total number of square.
= 7× 5
Therefore the expression 7×5 is used to find the total number of squares.
To know more about the square refer to the link given below:
https://brainly.com/question/25092270
#SPJ9
This is easy but I just don’t have time please answer.
Answers
The nearest degree of the measure of the angle having trigonometric ratios are answered below.
What are trigonometric ratios?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Review the sine, cosine, tangent, cotangent, secant, and cosecant trigonometric ratios. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.
Given Data
Trigonometry Ratios:
1) cosine x = 0.8988
cos⁻¹ = 26.103°
2) sine x = 0.6691
sine⁻¹ x = 41.99°
3) tangent x = 2.50
tan⁻¹ x = 68.2°
4) tan x = 20
tan⁻¹ x = 87.14°
5) sin x = [tex]\frac{6}{11}[/tex]
sin⁻¹ x = 0.518
6) cos x =[tex]\frac{7}{9}[/tex]
cos⁻¹ = 0.7
To learn more about Trigonometric Ratios, visit:
https://brainly.com/question/25122832
#SPJ13
Find the y-intercept of the line on the graph. Help pls!
Answers
Answer:
Y-intercept is 4
Step-by-step explanation:
due to X and Y lines it would be 4 lol
Have a good day
Answer:
It is 4
Step-by-step explanation:
The line intercepts the y axis at 4
Mark me as brainliest
100 POINTS + BRAINLEIST IF CORRECT
Answers
A kite contains four inner angles, which add up to 360 degrees. It has one pair of equal and opposite obtuse angles in each of these angles.
Answer:
∠D = 94°
Step-by-step explanation:
A kite is a quadrilateral.
Therefore, the sum of its interior angles is 360°.
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ 108° + ∠B + 64° + ∠D = 360°
⇒ 172° + ∠B + ∠D = 360°
⇒ ∠B + ∠D = 188°
A kite has one pair of opposite (obtuse) angles that are equal.
Therefore, ∠D = ∠B.
⇒ ∠B + ∠D = 188°
⇒ ∠D + ∠D = 188°
⇒ 2∠D = 188°
⇒ ∠D = 94°
{x>2}∩{x|x≤4}
please solve
Answers
GOOD LUCK! ????????????????????????????????????????????????????????????????????????????????////
A, B, C, D, E, F, G & H form a cuboid.
AB= 3.2 cm, BC = 1.6 cm & CG = 7.7 cm.
Find AG rounded to 1dp
Answers
The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals. A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units.
What is cuboid?A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid means "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces.
What is diagonal?A diagonal in geometry is a line segment that connects two polygonal vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.
A, B, C, D, E, F, G & H form a cuboid. AB= 3.2 cm, BC = 1.6 cm & CG = 7.7 cm. That is l=3.2 cm, b=1.6 cm, h=7.7 cm.
√(l² + b² + h²) units.
=√(3.2²+1.6²+7.7²)
=8.49 cm
≈8.5 cm
A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units. The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals.
To know more about diagonal,
https://brainly.com/question/12274248?referrer=searchResults
#SPJ13
Kesha is an hourly worker and is paid bi-weekly. Her wage is $25, and she is scheduled for 8 hours a day for 5 days a week. She also works 4 hours every other Saturday at time-and-a-half pay. How much is the gross income on Kesha’s paystub normally?(1 point) Responses $2,000 $2,000 $2,100 $2,100 $2,150 $2,150 $4,300
Answers
Answer:
$2,150
Step-by-step explanation:
GivensWe are given that Kesha is an hourly worker, is paid bi-weekly, and her wage is $25.
We are also told that she works 40 hours a week (derived from 8 hours a day for 5 days a week) and that she works 4 hours every other Saturday at time-and-a-half pay.
We are asked to find Kesha's gross income on her pay stub.
SolveFirst, determine her weekly wage by multiplying her hourly wage by the number of hours she works each week:
[tex]\$25 \times 40 = \$1,000[/tex]
Then, multiply this value by 2 since Kesha is paid bi-weekly (twice a month):
[tex]\$1,000 \times 2 = \$2,000[/tex]
Then, determine her time-and-a-half pay by first multiplying her hourly wage by 1.5:
[tex]\$25 \times 1.5 =\$37.50[/tex]
Then, multiply this value by 4 to represent the hours she works every other Saturday:
[tex]\$37.50 \times 4 = \$150[/tex]
NOTE: Since "every other Saturday" means twice a month, this is the same definition as bi-weekly. Therefore, no adjustments need to be made to this value.
Finally, add her time-and-a-half pay to her bi-weekly pay:
[tex]\$2,000 + \$150 = \$2,150[/tex]
Final AnswerTherefore, Kesha's gross income on her pay stub is $2,150.
At 59 F, crickets chirp at a rate of 76 times per minute, and at 65 F they chirp 100 times per minute. Write an equation in slope-intercept form that represents the situation.
Answers
The equation in slope-intercept form that represents the situation is y = 4x - 160.
Given,
At 59°F, crickets chirp at a rate of 76 times/minute
At 65°F crickets chirp at a rate of 100 times/minute
We have to write an equation in slope-intercept form:
Here,
(x₁, y₁) = (59, 76)
(x₂, y₂) = (65, 100)
Lets find the slope.
m = (y₂ - y₁) / (x₂ - x₁)
m = (100 - 76) / (65 - 59)
m = 24/6
m = 4
That is, the slope is 4.
Now, substitute this in the slope-intercept form:
y = mx + b
100 = 4 × 65 + b
100 = 260 + b
b = -260 + 100
b = -160
Therefore, the equation in slope-intercept form that represents the situation is y = 4x - 160.
Learn more about slope-intercept form here:
https://brainly.com/question/18915162
#SPJ1
A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 co If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. (5 points)
Answers
The coordinates of the image of polygon A'B'C'D' after a translation of 4 units down and 5 units right would be A' (-1, 1), B' (-1, -2), C' (3, -2), D' (3, 2).
What is a translation?In Geometry, the translation of a geometric figure to the right simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image and translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of polygon ABCD vertically down 4 units and horizontally right 5 units, the coordinates of the image of polygon A'B'C'D' include the following:
(x, y) → (x + 5, y - 4)
Coordinate A = (-6, 5) → Coordinate A' (-6 + 5, 5 - 4) = (-1, 1)
Coordinate B = (-6, 2) → Coordinate B' = (-6 + 5, 2 - 4) = (-1, -2)
Coordinate C = (-2, 2) → Coordinate C' = (-2 + 5, 2 - 4) = (3, -2)
Coordinate D = (-2, 6) → Coordinate D' = (-2 + 5, 6 - 4) = (3, 2)
Read more on translation here: brainly.com/question/16486008
#SPJ1
Given f(x) = (x-7)(x + 4) and g(x) = x + 4, find (f/g)(x)