We are given the following angle:
\(\theta=-\frac{19\pi}{6}\)To convert the angle to degrees we use the following conversion factor:
\(\theta_d=\frac{\theta_{rad}180}{\pi}\)Replacing the values:
\(\theta_d=-\frac{19\pi}{6}\times\frac{180}{\pi}\)Solving the operation:
\(\theta_d=-570\)Therefore, the angle is -570 degrees.
help me plsssssssssssss
Answer:
The radius is 5 cm
Step-by-step explanation:
The formula for the area of a circle is : \(\p*radius^2\)
To work out the length of the radius you would first need to divide the area of 78.5 cm by pi (pi=3.14), this gives you \(25cm^2\\\). This is because by dividing the area by pi we are isolating the value of the radius squared.
The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.
1) Divide 78.5 by pi.
\(78.5/\pi=25cm^2\)
2) Find the square root of 25 cm squared.
\(\sqrt{25} =5 cm\)
In this question pi is 3.14
Find the area of the parallelogram
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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Consider a data set with at least three data values suppose the highest value is increased by 10 and the lowest is decreased by five
plss give your self a answer
Eve is twice as old as her son, and the difference in their ages is 23 years. Find their
ages.
Answer:
Eve is 46 and her son is 23
Step-by-step explanation:
let x be the son's age then Eve is 2x. the difference in their ages is 23 , so
2x - x = 23 , that is
x = 23
then
Eve = 2 × 23 = 46 years
son = 23 years
y 4 7(x-6)
x-intercept:
y-intercept:
PLEASE ANSWER FAST.
Answer: y-4=7(x-6)
x-intercept(s): (38/7,0)
y-intercept(s): (0,−38)
I believe this is right hope this helps
Step-by-step explanation:
3.16 Summer Temperatures L.A. and NYC The histograms below were created from data on the daily high temperature in Los Angeles and New York City during a summer month. Compare the two distributions. Which city do you think has the higher typical temperature? Which city has more variation in temperature? Explain. (Source: Accuweather.com) 0.5 0.5 - 0.4 0.4 0.3 0.3 Relative Frequency Relative Frequency 0.2 0.2 0.1 0.1 65 70 0 65 75 85 90 95 70 75 85 90 95 80 L.A. 80 NYC
Based on the histograms, it appears that Los Angeles has a higher typical temperature than New York City during the summer month.
What is distribution?In statistics, a distribution is a way of showing how data is spread out or arranged. It describes the pattern of values in a dataset, and provides information on the frequency, range, and possible values of the data.
A distribution can take many forms, depending on the type of data being analyzed. For example, a distribution can be:
Symmetrical: where the data is evenly distributed around a central value, such as a normal distribution.
Skewed: where the data is not evenly distributed and is clustered more towards one end of the range than the other end, such as a positively skewed distribution.
Bimodal: where there are two distinct peaks in the data, such as in a distribution of test scores for a class with both high-performing and low-performing students.
There are many ways to represent a distribution, but some common methods include histograms, box plots, and probability density functions.
Understanding the distribution of data is important in statistics because it can help identify patterns, trends, and outliers in the data. It can also help inform decisions about which statistical methods to use when analyzing the data.
Here,
In the Los Angeles histogram, the peak of the distribution is around 80 degrees Fahrenheit, whereas in the New York City histogram, the peak is around 75 degrees Fahrenheit. However, the New York City histogram appears to have more variation in temperature than the Los Angeles histogram. This can be seen in the wider spread of the distribution, with a range of temperatures from around 65 to 95 degrees Fahrenheit, compared to the narrower range of temperatures in the Los Angeles distribution, which ranges from around 70 to 90 degrees Fahrenheit.
In other words, while the typical temperature in Los Angeles during the summer month is higher than in New York City, the temperature in New York City varies more widely from day to day.
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Idendify the slope and y-intercept from the equation below.
(Hint: rewrite the equation in slope-intercept form first.)
10x - y = 5
m =
y =
Answer:
m=10 y=5 / (0, 5)
Step-by-step explanation:
Slope-int form: y=mx+b
So;
10x-y=5
+10x +10x
y = 10 x + 5
I need to find x and y
Using the same-side interior angles theorem,
\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)
Using vertical angles,
\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)
24. Name a point on ∠MNO
Only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
In the given question we have to name a point on ∠MNO.
As we know that;
Evaluating the number of points in the curve of the triangle's vertices that are close to the location in question is the easiest method for determining whether a point is inside a triangle. The point on the curve is inside the triangle if it has three points; if it has four, it is outside the triangle.
When we check in the graph then only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
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what is the least amount of cardboard needed to make a box that measures 7 inches by 12 inches by 5 inches
Answer:
420 Square Units
Step-by-step explanation:
7*12*5 = 420 units
PLS HELP!!
I’LL MARK BRAINLIEST!!!
Answer:
ML
Step-by-step explanation:
If you need explanation, please tell me in comments.
If this has helped you, please mark this as brainliest
Answer: ML
Step-by-step explanation:
find m
please and thank you
The measure of angle K and L in the first figure is ∠L = 23 degrees and ∠K = 157. Second figure, the measure of ∠K = ∠L = 70 degrees.
What is sum of interior angles?A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.
For figure 2 the two lines are parallel to each other, and the line that meets the parallel line at points at M and L are from two equal lines.
Hence, the angle suspended by both are equal, that is:
∠L = ∠M
∠L = 23 degrees.
Now, the ∠K and ∠J are created by two parallel lines; hence they are equal:
∠K = ∠J = x
The sum of interior angles of a quadrilateral is 360, so:
∠L + ∠M + ∠J + ∠K = 360
23 + 23 + x + x = 360
46 + 2x = 360
2x = 360 - 46
x = 157
Hence, the measure of angle K and L is 157 and 23 respectively.
For the second figure, the angle K and L are created by equal length of segments.
∠K = ∠L = x
The sum of interior angles of a quadrilateral is 360, so:
∠L + ∠M + ∠J + ∠K = 360
x + 90 + 130 + x = 360
2x + 220 = 360
2x= 360 - 220
x = 70
Hence, the angle of K and L is 70 degrees.
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A number written in the form a + bi is called a _____ number.
A. Discriminant
B. Quadratic
C. Complex
D. Linear
Answer: A. Complex
Step-by-step explanation: hope this helps!
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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The Levine family has 10 gallons of gas in the car. The car uses 1 5/8 of a gallon each hour. How long can they drive on 10 gallons of gas?
Answer:
6.15
Step-by-step explanation:
10 gallons is 80/8
1 5/8= 13/8
80 divided by 13 is 6.15384615385 but rounded 6.15
6.15 hours
if its not that then keep rounding to 6.2 or 6hrs
Find the area of the shaded portion.
Answer:
3a^2
Step-by-step explanation:
one way of answering this question is by finding the area of the whole shape, including the non-shaded shape, then taking away the area of the non-shaded shape from the whole thing, leaving you the area of the shaded shape
Step-by-step
find the area of the whole shape
2a x 2a
= 4a^2 (or 4a to the power of 2)
Now that we have the area of the whole shape, we must find the area of the non-shaded shape and take it away from 4a^2, we do this by
a x a
= a^2 (or a to the power of 2)
now we minus the non-shaded shape away from the total area
4a^2 - a^2
= 3a^2 (or 3a to the power of 2)
Which right triangle has a perimeter that is an irrational number
Answer:
Step-by-step explanation:
Therefore, the set of numbers can be measures of a triangle. ... a triangle with the given measures will be a right triangle. ... The perimeter is the sum of the lengths of the three sides. ... an area of 2 square units, the irrational number √2 is.
Simplify the radical completely.
Answer:
the answer would be A , I hope this helps
PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
Can we say there is a 95% probability that the interval [50.53,55.53][50.53,55.53] contains the true percentage of the population that votes for Imm Thai as the best Berkeley Thai restaurant
Answer:
The answer is"statement is true".
Step-by-step explanation:
Yeah, they may claim that it is possible, that 95% of the population would vote for Imm Thai as the best Barkeley Thai restaurant as well as the probability that such an interval will include the proportion of the trust interval of Imm Thai outside is 5% which would be \alpha 5%
-29 - (-19)=
A -48
B -10
C 10
D 12
Answer:
-10
Step-by-step explanation:
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Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?
Answer:
Caroline
Step-by-step explanation:
\(\frac{1}{5}: \frac{y}{42.5}\)
y × 5 = 1 × 42.5
5y = 42.5
5y ÷ 5 = 42.5 ÷ 5
y = 8.5
\(\frac{1}{3}: \frac{y}{26.4}\)
y × 3 = 1 × 26.4
3y = 26.4
3y ÷ 3 = 26.4 ÷ 3
y = 8.8
8.8 > 8.5
Which table shows values for the equation y=3x+2
?
Answer:
Answer is option D
Step-by-step explanation:
Hope this helps:)
Is Karen has 6 cups of oatmeal and she divides it into 3/4 cup servings, how many servings of oatmeal will she have
Answer:
Step-by-step explanation:
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Please answer I need it asap. Please solve if you can!
Answer: \(y=-0.54x+19.8\)
Step-by-step explanation:
Because it is asking for a line, it cannot be the first option (which is a quadratic) or the fourth option (which is an exponential).
This leaves us with the second and third options.
Since the line will have a negative slope (as the data is decreasing), this means that the only viable option is \(y=-0.54x+19.8\).
y=x^2-2x+7
i need help finding the axis of symmetry,the domain, the y-intercept and x intercept
The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .
Explain about the features of parabolic function?A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.
The following characteristics define a basic parabola:
The y-axis, a symmetry axis, is where it is symmetric.At the origin, marking the minimal turning point, y has its minimum value. It is sometimes referred to as the parabola's vertex.The parabola's arms are infinitely long.Thus, from the given graph the value are obtained as:
the axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .Know more about parabolic function
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-3x^2+33=48x complete the square
The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75
Completing the square:
To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.
In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.
Here we have
- 3x² + 33 = 48x
Keep 'x' terms on one side and constant terms sides on another side
=> - 3x² - 48x = - 33
Divide by - 3 on both sides
=> -3(x² + 4x)/3 = - 33/3
=> x² + 16x = 11
Take half of the 'x' term and square it and add on both sides
=> x² + 2(8x) (x) + (8)² = 11 + (8)²
Which is in the form of x² + 2bx + b² = (x + b)²
=> [x + 8]² = 75
Therefore,
The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75
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sales tax on a $400 stereo is $16. What is the tax on a $650 TV?
Susan is running a 5k race. The graph of distance vs. time is shown.
What interval is she running the fastest?
The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
Given data ,
Susan is running a 5k race. The graph of distance vs. time is shown
So , the slope of the first line is m₁
And , the slope of the second line is m₂
where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )
Now , slope of AB is
m₁ = ( 3/10 ) = 0.3
And , m₁ = 0.3 kilometers per minute
And , slope of BC is
m₂ = ( 4 - 3 ) / ( 20 - 10 )
m₂ = 1/10
m₂ = 0.1 kilometers per minute
Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )
Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
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Steve is m years old. His brother, Jack, is n years older than Steve. How old will Jack be in 2 years?
Answer:
n+m+2 years
Step-by-step explanation:
m=Steve's age.
J=Jack's age.
n=Age difference between Steve and Jack
J=n+m
J+2=n+m+2 years