Answers
By using properties of triangle, it can be calculated that-
t = 60°
u = 8
What is a triangle?
A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles.
Based on the sides of a triangle, triangle may be classified as equilateral, isosceles and scalene
Triangle whose all three sides are equal is called equilateral
Triangle whose two sides are equal is called isosceles
Triangle whose all sides are unequal is called scalene
Here,
\(\angle\)FGE = 90°
\(\angle\)GFE = 30°
\(\angle FEG\) = 180 - (90 + 30)
= 180 - 120
= 60°
t = 60°
Since FE = HE and \(\Delta\)FGE and \(\Delta\)FGE are right angle triangles,
So FG = FH
u = 8
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Related Questions
A marble is selected from a bag containing eight marbles numbered 1 to 8. The number of the marble selected will be recorded as the outcome. Consider the following events. Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
a) Event "A or B":
b) Event "A and B":
c) The complement of the event A.
Answers
Even numbers: 2, 4, 6, 8
Numbers from 3 to 6: 3, 4, 5, 6
Combining these sets and removing duplicates, we have the following outcomes: 2, 3, 4, 5, 6, 8. So, event "A or B" includes these outcomes.
b) Event "A and B" refers to the marble selected having both an even number and a number from 3 to 6. To determine the outcomes that satisfy this event, we need to find the numbers that meet both conditions.
Numbers that are both even and from 3 to 6: 4, 6
Therefore, event "A and B" includes the outcome of either 4 or 6.
c) The complement of event A refers to outcomes that are not part of event A. Since event A represents the marble selected having an even number, the complement of event A would be the marble selected having an odd number.
Odd numbers: 1, 3, 5, 7
Therefore, the complement of event A includes these outcomes.
A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
Step-by-step explanation:MAKE A PLAN:
List The OUTCOMES for EACH EVENT and their COMBINATIONS:
SOLVE THE PROBLEM:a) - EVENT "A": {2, 4, 6, 8}
EVENT "B": {3, 4, 5, 6}
EVENT "A" or "B": {2, 3, 4, 5, 6, 8}
b) - EVENT "A" or "B": {4, 6}
c) - The COMPLEMENT of the EVENT "A": {1, 3, 5, 7}
Draw the conclusion:A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
I hope this helps!
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
Answers
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
PLEASE HELP IM SO LOST
Answers
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
25 POINTS PLS HELP SOME1!!
Answers
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
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Explain how Sergio use three lengths of a ribbon 2 ½ feet long to wrap packages. How many feet of ribbon did he us
Answers
Answer:
rate this 5 stars or your gay
Step-by-step explanation:
Just do it
Javier bought a painting for
$
150
$150dollar sign, 150. Each year, the painting's value increases by a factor of
1.15
1.151, point, 15.
Which expression gives the painting's value after
7
77 years?
Choose 1 answer:
Choose 1 answer:
(Choice A)
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
A
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
(Choice B)
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
B
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
(Choice C)
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
C
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
(Choice D)
150
+
1.15
⋅
7
150+1.15⋅7150, plus, 1, point, 15, dot, 7
D
150
+
1.15
⋅
7
150+1.15⋅7
Answers
The correct expression is \($(150 \cdot 1.15)^7$\) (Choice A).
The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).
To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.
If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.
Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.
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Use point-slope form − 1 = ( − 1) to find the equation of the line that passes through the point (−3,5) and has slope = −2 . Write the answer in slope-intercept form = + .
Answers
Answer:
y - 5 = -2(x + 3)
Step-by-step explanation:
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
point: (-3, 5)
slope (m): -2
The standard point-slope equation is
y - y₁ = m(x - x₁)
Plug in what you know.
y - (5) = -2(x - (-3))
Simplify.
y - 5 = -2(x + 3)
This is your equation.
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In circle H with m/GHJ = 30 and GH = 5 units, find the length of are GJ. Round to the nearest hundredth. H J G
Answers
Answer:
GJ ≈ 31.42 units
Step-by-step explanation:
the arc length GJ is calculated as
GJ = circumference of circle × fraction of circle
= 2πr × \(\frac{30}{180}\) ( r is the radius )
the radius HJ = 30 , then
GJ = 2π × 30 × \(\frac{1}{6}\)
= 60π × \(\frac{1}{6}\)
= 10π
≈ 31.42 units ( to the nearest hundredth )
Graph the parabola that has the following properties:
Vertex (0.1)
x-intercept = none
y-intercept = 1
Direction of opening is up
Answers
ABC def ghi jkl mno pqr stu vwy z
Tukey HSD Interpretation
Criterion: Interpret Tukey HSD results from SPSS output.
Data: Use your output from Problem Set 4.6.
Instructions: Identify where significant differences exist at the .05 level between the stress levels.
Answers
Answer:
The solution can be defined as follows:
Step-by-step explanation:
They also have a significant outcome in our instance. Its value of F is 1.773, with such a p-value of 0.212 achieved meaning (which is greater than the .05 alpha level). It means that the press with different levels of stress of the stress variable may not differentiate objectively.
Even so, we still do not know which one of the multiple mechanisms is significant. They realize the diff. To do just that, the results of the Tukey HSD test should be regarded.
HSD Tukey
Looking at the Multiple Correlations table below, you will see that mean values were created for the standard deviation among pairs of various stress varying concentrations (High - Low; High - Medium )
This can be seen on one-way ANOVA(1.773, p=.212), there's no statistically significant difference between the groups. A Tukey post hoc study has observed that the increase among medium and high stress is statistically significant, as well as the difference among low, medium, and high stress is important.
Snow fell at a rate of
of an inch/hour. How much
snow fell in a period of 6
hours?
Answers
Answer:
Step-by-step explanation:
that implies a simple multiplication:
snow = (3/4)(6) = 4.5 inch
and note the units elimination in the operation as well:
= [inch/hour][hour] = inch
My fault if im wrong :(
the population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 15% in 10 years. what will be the pop ulation in 30 years? how fast is the population growing at t 30?
Answers
Using the differential equation, the population after 30 years is 760.44.
What is meant by differential equation?In mathematics, a differential equation is a relationship between the derivatives of one or more unknown functions. Applications frequently involve a function that represents a physical quantity, derivatives that show the rates at a differential equation that forms a relationship between the three, and a function that represents how those values change.A differential equation is one that has one or more functions and their derivatives. The derivatives of a function define how quickly it changes at a given location. It is frequently used in disciplines including physics, engineering, biology, and others.The population P after t years obeys the differential equation:
dP / dt = kPWhere P(0) = 500 is the initial condition and k is a positive constant.
∫ 1/P dP = ∫ kdtln |P| = kt + C|P| = e^ce^ktUsing P(0) = 500 gives 500 = Ae⁰.
A = 500.Thus, P = 500e^ktFurthermore,
P(10) = 500 × 115% = 575sO575 = 500e^10ke^10k = 1.1510 k = ln (1.15)k = In(1.15)/10 ≈ 0.0140Therefore, P = 500e^0.014t.The population after 30 years is:
P = 500e^0.014(30) = 760.44Therefore, using the differential equation, the population after 30 years is 760.44.
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Find the distance between the points (13,19) and (13,-14)
Answers
Answer:
\(d = 33\)
Step-by-step explanation:
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Simply plug in the 2 coordinates into the distance formula to find distance d:
\(d = \sqrt{(13-13)^2+(-14-19)^2}\)
\(d = \sqrt{(0)^2+(-33)^2}\)
\(d = \sqrt{(-33)^2}\)
\(d = 33\)
Answer:
the distance between the two points is 33 units.
Step-by-step explanation:
because the two points have the same x value, we only need to consider the y values.
find the difference to solve for the distance.
\(19-(-14)\\19+14\\33\)
the answer is 33 units.
hope this helps :)
if a small cup is 10 oz and cost 2.69 what is the cost per ounces
Answers
Answer:
The cost per ounce of the small cup is $0.269
Step-by-step explanation:
To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.
Cost per ounce = Cost of the cup ÷ Number of ounces in the cup
Cost of the cup = $2.69
Number of ounces in the cup = 10 oz
So,
Cost per ounce = $2.69 ÷ 10 oz
Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)
Therefore, the cost per ounce of the small cup is $0.269.
Can someone help me understand this
Answers
First (Takeaway 4 from 46) Then (divide 6 and 2 and after THAT multipy it with 3) Finally only if needed (Multiply both answers to get the one you need)
Answer:
10
Step-by-step explanation:
46 - 4×(6÷2×3)= ⇒ solve parenthesis, division and multiplication have same priority so start from left to right46 - 4×(3×3) = ⇒ multiplication46 - 4×9 = ⇒ multiplication46 - 36 = ⇒ subtraction10 ⇒ answerHow to find the area of a triangle when the height is not given ?
Answers
Answer:
by using formula a+b+c .....
Answer:
Then use Hero's Formula
Step-by-step explanation:
Find the 11th term of the geometric sequence 1,4,16
Answers
The 11th term of the geometric sequence 1, 4, 16,... is 4¹⁰.
A sequence is a grouping of objects in a particular order that permits repetitions. It has members, just like a set does. The length of the sequence is determined by the number of items.
Consider the geometric sequences 1, 4, 16......
For a geometric sequence a, ar, ar²,.....
Where a is the first term, and r is the common ratio of the sequence.
Then for the sequence 1, 4, 16,...
a = 1 and r = 4
The nth term of a geometric sequence is given as:
aₙ = ar⁽ ⁿ ⁻ ¹⁾
Therefore, the 11th term of the sequence will be:
a₁₁ = 1 × r¹¹ ⁻ ¹
a₁₁ = (4)¹⁰
a₁₁ = 4¹⁰
Hence, the 11th term of the sequence is 4¹⁰.
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B. If the parents spent a total of $400 on everything for the party, how much more did they spend in addition to what was spent in parts (a) and (b)?
Part A answer of how much they spent was 64.50
Part B the answer of what they spent was 23.88
Answers
Answer:
311.62
Step-by-step explanation:
add a and b then subtract it by 400 there is ur answer my friend
Answer:
Plz mark me brainlest!
Step-by-step explanation:
311.62 Because I added that total and I got 551.78, and that doesn't make's sesne so I founded another answer for it and it's 331.62
Answer
331.62
Hope this helps you!
whats 3847-27-33+4636
Answers
Answer:
8423
Step-by-step explanation:
find the slope of the tangent line to the curve y at x. then write the equation of this tangent line. question content area bottom part 1 the slope of the line tangent to the curve y at x is 36. part 2 the equation of the line tangent to the curve y at x is y minus y equals 36 (x minus 3 ).
Answers
the equation of the line tangent to the curve y at x = 3 is y = 36x - 102. The slope of the tangent line to the curve y at x = 3 is 36.
The equation of the line tangent to the curve y at x = 3 can be written using the point-slope form of a line, which is:
y - y1 = m(x - x1)
where m is the slope of the line, (x1, y1) is a point on the line, and m and (x1, y1) are known. In this case, m = 36 and (x1, y1) = (3, y). Substituting these values into the equation above, we get:
y - y = 36(x - 3)
y = 36x - 102
So the equation of the line tangent to the curve y at x = 3 is
y = 36x - 102.
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What is the measure of arc RT
Answers
The measure of arc RT is 156 degree.
Measure of arc RTGiven:
arc TRM=102°
Hence:
arc RST=2×1O2°
arc RST=204°
Measure of arc RT
arc RT= 2(180° - 102°)
arc RT = 2(78°)
arc RT = 156 degrees
Therefore the correct option is B.
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PLEASE HELP!
graph the following equations: y=-4
Answers
Answer:
A solid horizontal line across -4. I've attached a picture of the graph down below
Step-by-step explanation:
Since there is no independent variable (x) in the equation, the dependent variable does not change and stays the same.
In other words, no matter what x is, y will always be -4.
In picture form, that would be a solid horizontal line across -4, since slope is 0 and y is unchanging.
A building casts a shadow that is 55 feet long. At the same time, a woman standing nearby who is 5 feet 3 inches tall casts a shadow that is 45 inches long. How tall is the building to the nearest foot?
Answers
Answer:
77ft ?
Step-by-step explanation:
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
A borrower wants to take a loan with a maximum effective monthly rate of 1%. What is the maximum APR with quarterly compounding that the borrower will accept from a lender?
Answers
The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
How to calculate APR?To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:
\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)
Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:
\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)
APR = (1.0100333³ - 1) x 4
APR = 0.04033 x 4
APR = 0.16132 or 16.132%
Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
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One of the following is a regression example for which Entity and Time Fixed Effects could be used: ________
a. minimum wages on teenage employment using annual data from the 48 contiguous states in 2006.
b. various performance statistics on the (log of) salaries of baseball pitchers in the American League and the National League in 2005 and 2006.
c. inflation and inflationary expectations on unemployment rates in the United States, using quarterly data from 1960-2006.
d. drinking alcohol on the GPA of 150 students at your university, controlling for incoming SAT scores.
Answers
Answer:
b
Step-by-step explanation:
The regression which comprises of both entity & time effect can be expressed as;
\(Y_{it} = B_1X_{it} + \alpha_i + \lambda_i + \mu_{it}\)
Where;
take charge of the state-explicit qualities that don't change over the long run
controls the variables that differ after some time yet not across substances,
\(u_{it}\) controls state-specific qualities which shift after some time.
Thus, from the options given above:
The first option lacks or does not involve the time effect as we are only looking for a particular year.
The second option comprises only 2 years of data which implies that we have a time effect involved. In addition to that, there exist a few variables in executing measurements that join fixed effects. In this case, we can utilize regression with time and fixed effect.
(c) The information here is quarterly over an extended period of time. Hence, it would prefer a period arrangement information than a fixed and time impact information. Thus, this is incorrect.
(d) Since no time variable is associated, we reject the option.
Geometry Identify the sides or angles that need to be congruent in order to make the given triangles congruent by AAS. Please help me!!!!!!!!!
Answers
Answer:
A. Sides AC and DF
B. Angles BAC and EDF
Answer:
Step-by-step explanation:
Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
Answers
I think the answers 3048_&8_9_)_)_
Convert 3/2 into a percent
Answers
3 divided by 2 x 100% = 1.5 x 100% = 150%
HELP RN!!!!!!!!! The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 seconds.
Use the graph of the function to determine which line segment represents each of the following scenarios.
The automobile is traveling at a constant speed what CD, BC, DE, AB
The automobile is traveling at an increasing speed what BC, DE, CD
The automobile is traveling at a decreasing speed what BC, CD, AB, DE
Answers
Answer:
BC, DE, CD
let me know if that helps
Step-by-step explanation: