Step-by-step explanation:
let's explain this a bit.
when the exterior angle is a certain size, then the interior angle is 180 - that exterior angle.
in our case the exterior angle is half of a right angle, so it is 90/2 = 45°.
the corresponding interior angle is 180-45 = 135°.
the sum of all angles inside a triangle is always 180°.
so,
x + 2x + 135 = 180
3x = 45
x = 15°
2x = 30°
so, the 3 interior angles are
135°, 15°, 30°
What happens with rotational symmetry?
Answer:
The shape of an object looks the same when an object is rotated on it's own axis
solution for this one step by step please
Answer:
[tex]D.\:\:\:\:\:\sec^4\theta[/tex]
Step-by-step explanation:
[tex]\frac{1+\tan^2\theta}{\cos^2\theta}[/tex][tex]=\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)[/tex][tex]=\sec^2\theta.\frac{1}{\cos^2\theta}[/tex][tex]{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)[/tex][tex]=\sec^4\theta[/tex]Hope it helps you in your learning process.
Answer:
D
Step-by-step explanation:
using the identities
1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then
[tex]\frac{1+tan^20}{cos^20}[/tex]
= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]
= sec²Θ × sec²Θ
= [tex]sec^{4}[/tex]Θ
Use Pythagorean Theorem to solve for x. Show all work. Keep all answers in simplified
radical form.
Step-by-step explanation:
a^2 +b^2 = c^2
8^2 +4^2= c^2
64 + 16= c^2
80= c^2
take square root of both sides and you get
c=8.94
[tex](sinx^{2} theta)\frac{x}{y}(1+costheata)[/tex]
The result of expanding the trigonometry expression [tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex] is [tex]cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]
How to evaluate the expression?The expression is given as:
[tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex]
Express [tex]\sin^2(\theta)[/tex] as [tex]1 - \cos^2(\theta)[/tex].
So, we have:
[tex]\sin^2(\theta) * (1 + \cos(\theta)) = (1- \cos^2(\theta)) * (1 + \cos(\theta))[/tex]
Open the bracket
[tex]\sin^2(\theta) * (1 + \cos(\theta)) = 1 + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]
Express 1 as cos°(Ф)
[tex]\sin^2(\theta) * (1 + \cos(\theta)) = cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]
Hence, the result of expanding the trigonometry expression [tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex] is [tex]cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]
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Please help meeeeee!!!!
Answer:
the answer is 1
Step-by-step explanation:
you can type it in your scientific calculator and the answer will be 1
Which is bigger 1.47 or -1.47
Answer:
1.47 is larger
Step-by-step explanation:
the reason why it's larger is bc the negative sign shows it's below zero
help me help me help me help me help me help me help me help me
Answer:
Hope it help
Step-by-step explanation:
1. B
2. A
3. C
4. C
5. D
A 24-foot ladder leans against a wall the base of the ladder is 9 feet from where the wall meets the ground how far up the wall does the ladder reach ?
Answer
24*9= the answer
Step-by-step explanation:
PLEASE ANSWER
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.
What are similar triangles?Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.
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Find the area of the given triangle.
Round your answer to the nearest tenth. Do not round any intermediate computations.
Answer: 88 units²
Step-by-step explanation: Alright, this ones is easy. Ok, so we know we have a right triangle so, therefore, we can find the missing sides required using trigoneomeric functions. If you dont know what these are here, take a look:
sinФ= opposite/hypotenuese
cosФ= adjancent over hypotneuse
tanФ= opposite/adjecent.
angle is 34
In this case the opp (opposite would be the base of the trinagle, the adj would be 16 units, and the hyportneuse would be "we dont know"
From here, we can set up this equation to find the area->
If, tanФ= opp/adj and opp= ? and adj=16tan34°*16=opp-------->≈11 unitsNow we know the base and height of the triangle, so using the formula 1/2*B*H for the area we get 88 units². Thank you!
The Area of Triangle is 86.272 unit².
What is Trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Perpendicular = 16
Using Trigonometry
tan 34 = P / B
0.674 = 16/ B
B= 10.784
So, Area of Triangle = 1/2 x b x h
= 1/2 x 16 x 10.784
= 86.272 unit²
Hence, the Area of Triangle is 86.272 unit².
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Answer for points I know the answer
Answer: 2.2 inches
Step-by-step explanation:
At another park in Chicago, neighbors get together to plan a community garden. Plans for the community garden are shown below. celery tomatoes 6 yds spinach carrots watermelon 12 yds red peppers 8 yds a) The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points-1 point for each length calculation and 1 point for the total distance) *** 15 yds
Answer:
we can use the pythagorean theorem to each of those right triangles to find the lengths of the pathways
Step-by-step explanation:
for the spinach celery walkway,
d=[tex]\sqrt{6^{2}+8^{2}[/tex] = 10 yd
for each watermelon walkway,
d=[tex]\sqrt{8^{2}+12^{2}[/tex] = 14.42 yd
from the carrots red peppers walkway,
[tex]b^{2}+12^{2} = 15^{2}[/tex]
b=[tex]\sqrt{15^{2}-12^{2}[/tex]= 9yd
for each tomatoes walkway;
d=[tex]\sqrt{6^{2}+9^{2}[/tex] = 10.82 yd
so the total length of the walkway is = 10+14.42+15+10.82 = 50.24 yd
In AVWX, v = 64 cm, w = 18 cm and x=63
cm. Find the measure of ZW to the
nearest degree.
Answer:
The answer is 1230cm square
In which of the following do you expect the correlation coefficient to be negative?
This is my last question I need please help
Answer:
The graph I expect to have a negative correlation is the third graph.
Step-by-step explanation:
Positive correlation is when the the x-values increase with a corresponding increase in y-values.
Negative correlation is when the x-values increases with a corresponding decrease in y-values.
No correlation is when only x or y variable changes.
From the graphs given the only one that has a negative correlation is the third graph.
2
Two figures are similar, and the scale factor is
2
Over
3
If a side of the larger figure is 12, then the corresponding side in the smaller figure is…..
6
8
12
18
Choose an answer
how much is 27.99$ with 25% extra
Answer:
34.98
Simply add the 27.99 with 25%
= 34.98
Use the box plots comparing the number of boy dogs and number of girl dogs attending doggy daycare each day for a month to answer the questions.
The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance.
What will be the solution?(a) The IQR of the male's data
The first box plot represents the male's boxplot.
So, we have:
Upper quartile (Q3) = 14
Lower quartile (Q1) = 2
The IQR is the difference between the above values
IQR = Q3 - Q1
So, we have:
IQR = 14 - 2 = 12
So: the IQR for the males' data is 12
(b) The difference in the median values
From the first and second boxplots, we have:
Median male = 10
Median female = 18
The difference (d) between these values is
d = 18 - 10
d = 8
So: the difference between the median values of each data set is 8
(c) The distribution of data
This is dependent on whether the dataset has an outlier or not.
From the figure, we have:
Male's data: presence of an outlier - use median
Female's data: absence of an outlier - use mean
So: the male dataset is measured by median, while the mean is a better measure of center for the female's data
(d) Reason for outliers
A possible reason for outliers is sampling problems
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The most popular roller
coaster has room for 12
riders. They are colored
as below. Answer the
questions based on the
coaster train.
What’s the probability that a rider won’t ride in a red seat?
4/12 chance of dying
A graph that uses bars of various heights to represent the frequencies.
a. Histogram
b. Pie graph
c. Bar graph
d. Picto graph
A graph that uses bars of various heights to represent the frequencies is a Histogram
A histogram is an approximate representation of the distribution of numerical data. The term was first introduced by Karl Pearson. To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval.
Therefore, a graph that uses bars of various heights to represent the frequencies is a Histogram
================================
[tex] \large \sf \underline{Question:}[/tex]
A graph that uses bars of various heights to represent the frequencies.
================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad \qquad \huge \bold{Option \: A}[/tex]
================================
[tex] \large \sf \underline{Explanation:}[/tex]
A graph that uses bars of various heights to represent the frequencies is called Histogram
A Histogram is typically a statistical schematic diagram which bars are displayed at random with no space interval. The bars of a Histogram are side-by-side, there are no spaces between the bars.
================================
calculate the value of:
1+3+5+....+43
Scientists are tracking the population of a specific species of bird. They have determined that the function P(x) = 575 (1.025)x models the number of birds, P(x), after x years. Which of the following is true about the brid?
Find the Product:
0.2 x 0.3
Answer:
0.06
Step-by-step explanation:
The product of 2 numbers means that we have to multiply them.
So, we do 0.2 x 0.3 = 0.06
To do this, we convert the decimal fractions into whole numbers by multiply both by 10.
ie. 0.2 x 10 = 2
and
0.3 x 10 = 3
Now multiply together
2 x 3 = 6.
However, we have to remember that we multiplied both numbers by 10 (ie. 10 x 10 = 100) so we must remember to divide the answer by 100
...0.06
Hope this helps!
- profparis
Answer:
=0.06
Step-by-step explanation:
0.2
× 0.3
= 0.06
therefore the answer is 0.06
Pls help
80 points!
function g is a transformation of f the graph below shows f as a solid blue line and G as a red dotten line
Vertex is same x coordinate
Means y is changed
f(x) has vertex (4,3)
g(x) has vertex (4,-3)
Total change
|3+3|=6So the transmission is f(x)-6
Answer:
[tex]\textsf{D)} \quad f(x)-6[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
From inspection of the graph, g(x) is a translation of f(x) by 6 units down.
[tex]\implies g(x)=f(x)-6[/tex]
Part A: The length of two sides of a triangle are:
Side 1:
Side 2:
The perimeter of the triangle is
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (7 points)
Part B: What is the length of the third side of the triangle? Show your work. (7 points)
Part A: The total length of the two sides, 1 and 2, of the triangle is 10x² + 14x - 8
Part B: The length of the third side of the triangle is 10x³ -2x² - 16x + 2
Calculating the sides of a triangleFrom the given information,
The length of side 1 is
6x² - 4x - 2
and the length of side 2 is
18x + 4x² - 6
Part A
The total length of the two sides, 1 and 2, of the triangle will be
Length of side 1 + Length of side 2
That is,
6x² - 4x - 2 + 18x + 4x² - 6
This becomes,
6x² + 4x² + 18x - 4x - 2 - 6
10x² + 14x - 8
Therefore, the total length of the two sides, 1 and 2, of the triangle is 10x² + 14x - 8
Part B
The length of the third side will be
Perimeter of the triangle - the total length of sides 1 and 2
From the given information,
The perimeter of the triangle is 10x³ + 8x² - 2x - 6
Then,
Length of third side = 10x³ + 8x² - 2x - 6 - (10x² + 14x - 8)
Length of third side = 10x³ + 8x² - 2x - 6 - 10x² - 14x + 8
Length of third side = 10x³ + 8x² - 10x² - 2x - 14x - 6 + 8
Length of third side = 10x³ -2x² - 16x + 2
Hence, the length of the third side of the triangle is 10x³ -2x² - 16x + 2
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James has $150 in savings and earns an additional $50 per week, w, cutting grass. Which equation represents the total, t, in his account?
Answer:y=50x+150
Step-by-step explanation:
50x is the variable that will change the amount of money he has each week. 150 is the amount he currently has
Which of the following values in the set below will make the inequality 6x + 2 =14
expression - 50 + 5/13p is equal to ____ when p = -26
Answer: : it’s 40
hope this helps :)
Step-by-step explanation: Just substitute the variable with the number and use pemdas.
First you have to multiply 5/13 by -26, then add 50 to what you get.
solve the inequality:
0.2(x + 20) – 3 > –7 – 6.2x
Answer:
[tex]\huge\boxed{\sf x > -1.25}[/tex]
Step-by-step explanation:
Given inequality:0.2 (x + 20) - 3 > -7 - 6.2x
Distribute
0.2x + 4 - 3 > -7 - 6.2x
0.2x + 1 > -7 - 6.2x
Add 6.2x to both sides
0.2x + 6.2x + 1 > -7
6.4x + 1 > -7
Subtract 1 to both sides
6.4x > -7 - 1
6.4x > -8
Divide 6.4 to both sides
x > -8/6.4
x > -1.25
[tex]\rule[225]{225}{2}[/tex]
Answer:
x > -1.25
Step-by-step explanation:
Using the distributive property: a(b + c) → ab + ac
1. Distribute '0.2'
0.2(x) + 0.2(20) - 3 > -7 - 6.2x
0.2x + 4 - 3 > -7 - 6.2x
0.2x + 1 > -7 - 6.2x
2. Add '6.2x' to both sides
0.2x + 6.2x + 1 > -7 - 6.2x + 6.2x
6.4x + 1 > -7
3. Subtract '1' from both sides
6.4x + 1 - 1 > -7 - 1
6.4x > -8
4. Divide both sides by '6.4' to isolate the variable
6.4x ÷ 6.4 > -8 ÷ 6.4
x > -1.25
Final answer: x > -1.25
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In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = 5 x squared + 2 x minus 1
a.
a = negative 1, b = 2, c = 5
b.
a = negative 2, b = 5, c = 1
c.
a = 1, b = 5, c = 2
d.
a = 5, b = 2, c = negative 1
The correct answer is option D which is a = 5, b = 2, c = - 1.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that:-
y = 5x² + 2x - 1The general form of the equation is given as:-
Y = ax² + bx + c
We have a quadratic equation:-
y = 5x² + 2x - 1
By comparing the equation with the general form the value of a, b and c is calculated:-
a = 5
b = 2
c = -1
Therefore the correct answer is option D which is a = 5, b = 2, c = - 1.
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Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
An angler casts a fishing line into a body of water and its distance is recorded in centimeters.
, 1 of 2.
Select Choice
; , 2 of 2.
Select Choice
Based on the fact that the distance of the fishing line is the sample space being classified, we can say that it is Infinite and Continuous.
Is Distance a continuous variable?Distance is said to be a continuous variable because it can be described as an unlimited value between the objects being measured.
As a result, the distance of the fishing line in this case must be continuous which means that it is infinite by nature.
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