Answers
Related Questions
1. In the figure, m DE = 106 degrees and m BC = 62 degrees. The diagram is not to scale.
What is m< A?
A) 44 degrees
B) 22 degrees
C) 75 degrees
D) 85 degrees
2. In the figure, m AB = 45 degrees and m CD = 23 degrees. The diagram is not drawn to scale.
What is the value of x?
A) 34 degrees
B) 56.5 degrees
C) 22 degrees
D)68 degrees
Can someone please check my work and tell me if I'm correct or not and explain.
Answers
The measure of the missing angles in both instances is; m∠A = 22 degrees and x = 34 degrees
How to find the angles in the triangle?
1) For question 1, the formula for the missing angle from triangle is;
m∠A = ¹/₂(∠DE - ∠BC).
Thus;
m∠A = ¹/₂(106 - 62).
m∠A = 44/2
m∠A = 22 degrees
2) To get the missing angle, we will use the formula;
x = ¹/₂(AB + CD)
This is because the measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
x = ¹/₂(45 + 23)
x = 34 degrees
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Find the geometric mean of 125 and 5.
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The path of a rocket ship is given by the parametric equations x(t)=3t and y(t)=4t^2+1, where t is the time in seconds after launch. Where is the ship after 10 seconds?
A.) (3,4)
B.) (3,5)
C.) (30,401)
D.) (30,501)
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x (t) = 3t
y (t) = 4t ^ 2 + 1
Substituting t = 10 in both equations we have:
x (10) = 3 (10) = 30
y (10) = 4 (10) ^ 2 + 1 = 400 + 1 = 401
Therefore, the position of the rocket is:
(x, y) = (30, 401)
Answer:
the ship after 10 seconds is at:
C.) (30,401)
Trey's mom planted an 18 feet by 20 feet garden in his back yard. this new garden reduced the area of trey's backyard by 24%. which answer choice best represents the total area of the back yard
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The garden area is given by:
[tex] A = (18) * (20)
A = 360
[/tex]
We are looking for the backyard area now.
For this, we make the following rule of three:
360 ---------------------> 24%
x -------------------------> 100%
From here, we must clear the value of x.
We have then:
[tex] x = (100/24) * (360)
x = 1500 ft ^ 2
[/tex]
Answer:
The total area of the back yard is:
[tex] x = 1500 ft ^ 2 [/tex]
The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2-foot border of the floor visible on all sides. What should the length (the longer side) of the rug be?
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Which graph represents g(x)=(x−3)2−5 ?
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and it is looking upward because it is positive coefficient in front of (x-3)²
Correct answer is A.
The graph of g(x) = (x-3)^2 - 5 is a parabola that opens upwards. The vertex is located at (3, -5) and the function values are negative when x is less than 3.
Explanation:The graph of the equation g(x) = (x-3)^2 - 5 is a parabola. The vertex of the parabola is located at the point (3, -5), and the parabola opens upwards because the coefficient of the quadratic term is positive. When x is less than 3, the function values are negative, and when x is greater than 3, the function values are positive.
The measure of arc QS is (4x – 18)°.
What is the value of x?
40.5
49.5
94.5
180
ANSWER IS 49.5
Answers
Answer:
Option B. 49.5 degrees
Step-by-step explanation:
Given that arc QS measures 4x-18
Arc QS is a semicircle and hence subtended angle by semicircle at the centre is 180 degrees.
Use this to find the value of x
4x-18 = 180 degrees
Add 18 to both sides
4x=198
Divide by 4
x =198/4 =49.5
So answer is option B
49.5 degrees
Answer:
49.5
Step-by-step explanation:
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
Answers
The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. if in the last game he made 77 assists, how many standard deviations is that from the mean? 1.36 standard deviations below the mean 2.71 standard deviations above the mean 1.36 standard deviations above the mean 2.71 standard deviations below the mean
Answers
standard deviation=7
thus
77 is (77-58)=18 away from 58
This will be:
19/7=2.71
standard deviations from the mean.
Answer: 2.71 standard deviations above the mean
Answer:
(B)
Step-by-step explanation:
It is given that The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7.
Also, in the last game he made 77 assists, therefore
[tex]77-58=19[/tex] assists away from the mean.
Thus, To get the number of standard deviation that 77 is from the mean, we get the z-score which is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Substituting the given values, we get
[tex]z=\frac{77-58}{7}[/tex]
[tex]z=\frac{19}{7}[/tex]
[tex]z=2.71[/tex]
Thus, there are 2.71 standard deviations above the mean.
Hence, option B is correct.
Finish the pattern, 1, 2, 6, 22, __, __?
Answers
So,
1, 2, 6, 22, 86, 342 is your answer
A test consists of 10
a. True
b. False questions. to pass the test a student must answer at least 9 questions correctly. if a student guesses on each question, what is the probability that the student will pass the test?
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Each letter of the alphabet is written on a piece of paper and put in a hat. If a piece of paper is chosen at random, what is the probability that it will be a vowel?
The number of favorable outcomes is .
The number of possible outcomes is .
So P(vowel) = , or about percent.
Answers
Number of possible outcomes = 26
P(vowel) = 5/26
Answer: 5/26
The probability of pulling a vowel out of the hat is [tex]\frac{5}{26}[/tex]
The number of favorable outcomes is [tex]5[/tex]
The number of possible outcomes is [tex]26[/tex]
The number of possible outcomes is the size of the sample space.
Since the sample space
[tex]S=\{\text{all the letters of the alphabet in the hat}\}[/tex]
then, the number of possible outcomes is
[tex]|S|=26[/tex]
The number of favorable outcomes is possible number of vowels that can be gotten from the hat. Since the set of vowels
[tex]V=\{a,e,i,o,u\}[/tex]
then, the number of favorable outcomes is
[tex]|V|=5[/tex]
The probability of pulling a vowel out of the hat
[tex]P(V)=\frac{\text{number of favorable outcomes}}{number of possible outcomes}=\frac{5}{26}[/tex]
Learn more about probability here: https://brainly.com/question/1286075
Graph BCD with vertices.
Answers
when you've drawn that, draw on the line x=1
to draw that go to the x axis and go along one, then flip the triangle as though it were in a mirror (use a real mirror if it helps you visualize)
which statement most accurately explains why x^5/x^2 is equal to x^3?
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When you divide varibles with exponents, you subtract the exponents. Since there are no numbers in front of the x, we can assume there is only 1 x. 1x/1x = 1x. Since the top has the largest exponent, you'd subtract the bottom exponent to the top, leaving a power of 3. Thus meaning, the answer of x^3 is explained in C.
I hope this helps!
The greatest common factor of 24and 36 is the least common multiple of a pair of numbers.which two number could they be ? Pls make sure to explain this specifically!!
A.3 and 6
B.4 and 6
C.8 and 9
D.8 and 12
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Elijah is going to spin a spinner 180 times. mc008-1.jpg He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?
Answers
Answer:
its C on Edge
Answer:c
Step-by-step explanation:
You play darts with a friend. The board is a circle with a 6-inch radius. The “Bull’s Eye” is a smaller circle in the center of the board with an 0.25-inch radius. You throw darts (small metal arrows) at the board. At the end of six weeks, she has thrown 500 darts. She hit the board every time and hit the Bull’s Eye 1 time If you throw 500 darts, how many times should you expect to hit the Bull’s Eye by random chance? Compare this result to your friend’s result. Is she a skilled player for hitting the bull’s eye or is the result of hers expected?
Answers
Area of the Bull's eyes = πr² = 0.0625 π square inches
If a dart is thrown at random, the probability that it will hit the bull's eye can be calculated as:
Area of Bulls's Eyes divided by Area of Complete Board
So, probability of hitting the bulls'e eye = 1/576 = 0.001736
The friend hit Bull's eye once in a 500 throws. So the probability of hitting the Bull's eyes will be = 1/500 = 0.002
If we compare the two probabilities, they are close to each other. So we can conclude that the friend is not a skilled player and she hit the bull's eye just by chance.
I am struggling with Parts B and D of this calculus question. I think that Parts A and C are OK. I wonder if Parts B and D require the graph that I drew for Part A?
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a ≈ 1.114157141
For part C, you need to consider your answer. For a=0, the equation is that of a straight line, so there is no inflection point at x=1. For cos(a)=0, there are an infinite number of possible values of [tex]a[/tex] that will put a point of inflection at x=1. As you have noted, a=π/2 is only one of them in the range 0 < a < 4.
For part D, again you have stopped part way to the answer. Consider what values of [tex]a[/tex] will make [tex]a \sin(ax)[/tex] strictly greater than 1. There aren't any. The sine function always crosses zero. This part of the question has no solution.
the distance between bay town and oak glen is 175 miles. if the equation y=-x+175 represents the distance left to travel to oak glen, what does the domain represent? what is the domain?
a) time left to reach oak glen; x>0
b) distance left to reach oak glen; x>0
c) time it takes to travel oak glen; x>0
d) distance traveled since leaving bay town; x>0
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the distance traveled since leaving bay town; x>0.
The set of input values is distance traveled and it will make the 175 miles decreaxse.
The correct option is D, distance traveled since leaving bay town; x>0.
What is the domain and range of a function?The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
Given that the distance between bay town and oak glen is 175 miles. If the equation y=-x+175 represents the distance left to travel to oak glen.
Since the distance left to travel to oak glen can be 0 this will be when you reach Oak glen, while the minimum will be when the journey is just started and you haven't travelled even a single mile.
Therefore, the domain of the function is from 0 to 175, and the domain represents the distance traveled since leaving the bay town.
Hence, the correct option is D, distance traveled since leaving bay town; x>0.
Learn more about Domain and Range here:
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a man made lake is stocked with 10,000 fish. This population is expected to decline by an annual rate of 15%. Predict the fish population 5 years after the lake is stocked
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10,000*15% = 1,500 or you could do 10,000*.15 = 1,500
That is a loss of 1,500 fish per year.
If you want to think of this as a proportion then you would do
Year/fish lost
1/1,500 = 5/x
X=5*1,500
X=7,500
The population of the fish after 5 years equals
10,000-7,500 = 2,500
So your answer is 2,500 fish are left
The population will be approximately 4,437 fish after 5 years.
To predict the fish population 5 years after the lake is stocked,
We can use the formula for exponential decay:
[tex]\[ P = P_0 \times (1 - r)^t \][/tex]
Where:
P is the final population[tex]\( P_0 \)[/tex] is the initial populationr is the annual rate of decline (expressed as a decimal)t is the number of yearsGiven:
[tex]\( P_0[/tex] = 10,000 (initial population)r = 0.15 (annual rate of decline, expressed as 15% or 0.15)t = 5 (number of years)Substituting the values into the formula:
[tex]\[ P = 10,000 \times (1 - 0.15)^5 \][/tex]
[tex]\[ P = 10,000 \times (0.85)^5 \][/tex]
Calculating:
P ≈ 10,000 × 0.443705
P ≈ 4437.05
So, the fish population 5 years after the lake is stocked is approximately 4437 fish.
Write an equation of the graph:
y = |x| translated two units downward
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y = |x| - 1 is the answer
ur mom
Jon has 8 blue marbles and 4 red marble sin a bag. he took 1 marble from the bag na fthen a second marble without replacing the first one. assuming a red marble was selected first, what is the probability that jon selected a red marble both times
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4/12, and he gets a red one.
If he doesn't replace the first one, the next one would be 3/11. The probability that Jon selected a red marble both times is 1/11.
(I kind of forgot this lesson, but here's my guess.
Please help me with this
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%( Art 2 students who entered digital pieces)=(24/300)*100%=8%
Number of all entries that were painted by Art 1 students = 34
%( painted by Art 1 students)=(34/300)*100%≈11.3%
%( clay pieces by Art 3 students)= (20/300)*100%=6.7%
From least to greatest,
6.7% - clay pieces by Art 3 students
8%- Art 2 students who entered digital piece
11.3%-painted by Art 1 students
A tree's root is 9 feet below ground and spans a radius of 6 feet. If the total length of the tree from root tip to top is 23 feet, what is the tree's elevation above ground?
a. 14 feet
b. 17 feet
c. 26 feet
d. 32 feet
Answers
You know the tree goes 9 feet underground and the tree is 23 feet tall from root to top
You can subtract how far the tree goes underground by the length of the tree to get the answer
23 - 9 = 14
The answer is A) 14 feet
Hope this helps!
What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
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0.06(6500) + 6500
But because it is 25 years:
25(0.06(6500)) + 6500
1.5(6500) + 6500
We can make it simpler:
2.5(6500)
The total amount is $16350
To calculate the total amount and interest earned on $6,500 at 6% simple interest for 25 years, you use the formula I = P × r × t, which gives you interest (I) of $9,750. Adding the interest to the principal, the total amount after 25 years is $16,250.
To calculate the total amount and the interest earned on $6,500 at a simple interest rate of 6% for 25 years, we can use the simple interest formula:
I = P × r × t
Where:
I is the interestP is the principal amount ($6,500)r is the annual interest rate (6%, or 0.06)t is the time in years (25)Using this formula:
I = $6,500 × 0.06 × 25
I = $9,750
The total amount after 25 years will be the principal plus the interest:
Total Amount = P + I
Total Amount = $6,500 + $9,750
Total Amount = $16,250
The interest earned on the investment after 25 years is $9,750.
If a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2?
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a triangle’s original dimensions are 24 cm by 40 cm
scale factor=2.2
then
a triangle’s enlargement dimensions=[scale factor]*original dimensions
a triangle’s enlargement dimensions=[2.2]*24------> 52.8 cm
a triangle’s enlargement dimensions=[2.2]*40------> 80 cm
the answer is
a triangle’s enlargement dimensions will be 52.8 cm by 80 cm
Answer:
52.8cm
&
88com
Step-by-step explanation:
How to find an area of a circumbscribed hexagon using the diameter?
Answers
You can calculate the value of a by using trigonometry You consider one of the 6 isosceles triangles that make up the hexagon. The vertex angle of these triangles = 60 degrees so:-
tan 30 = 1/2 a / r = 1/2 a / 1/2 d = a/d
a = d tan 30 = sqrt3 d / 3
Substituting for a :-
So the required formula for the area of the hexagon = 1.5 ad
= 1.5 * sqrt3 d * d / 3 = 1/2 sqrt3 d^2 Answer
Compute the sales tax on the following transactions. An article retails for $37.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altogether?
Answers
14/100 = .14
Then for both rates you must add 1 because it is a tax increase.
1 + .14 = 1.14
Finally times 37.50 with 1.14
37.50(1.14) = 42.75
$42.75 is the answer.
The article will cost altogether:
$ 42.75
Step-by-step explanation:It is given that:
The retail price of the article is: $ 37.50.
Also, the article will hold a city tax of 6% and a federal excise tax of 8%.
Hence, the total percent tax on article is: 6+8=14%
This means that the cost price of the article is:
Retail Price of article+14% of retail price.
= 37.50+14% of 37.50
= 37.50+0.14×37.50
= 37.50+5.25
= 42.75
Hence, the article will cost: $ 42.75
Is Part A correct? And can someone please help me with part B? (Highlighted)
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Part B. The total area is the sum of the areas of each of the 6 faces of the box. Opposite faces are the same area, so you have
A = 2(LW +WD +LD) = 2(LW +D(L +W))
Subsituting the given dimensions, you get
A = 2((12 ft)(6 ft) +(3 ft)(12 ft +6 ft))
A = 2(72 ft² +(3 ft)(18 ft))
A = 2(72 ft² +54 ft²) = 252 ft²
The least amount of paper required to cover the box is 252 ft².
Isabel divided 32 by 8 and got 4. She says that if she divides 32 by 4,the quotient will be greater than 4. Is she correct? Explain.
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8>4 so it make sense.