Answer:
Question 3: Sin(B) = 5/9.43, Cos(B) = 8/9.43, Tan(B) = 5/8
Question 4: Angle A = 40 Degrees
Question 5: x = 39.5 mm
Step-by-step explanation:
Question 3: the three ratios are Sin(θ) = Opposite/Hypotenuse, Cos(θ) = Adjacent/Hypotenuse, and Tan(θ) = Oppisite/Adjacent. Replace θ with designated Angle and fill in the values correlating to that angle.
Question 4: The given information we have is the hypotenuse, and the length of side adjacent to angle A; Therefore, we would use the ratio of Cos(A) = 47/61, but to solve for angle we use Cos^-1(47/61) to get Angle (A) = 39.6, rounded to whole -> 40 Degrees.
Question 5: We have the angle and its opposite while trying to find its adjacent, so we use the ratio Tan(θ) = Opposite/Adjacent -> Tan(28) = 21/x to get x = 39.5 mm.
Hope this helps!
Asia bought a 3- pound bag of food for her pet rabbit. The rabbit’s food bowl holds pound of food. The rabbit eats pound of food per day. How many times can Asia fill the food bowl from the bag of food?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?How many days would the food in a full bowl feed Asia’s rabbit?
Answer:
3 times
Step-by-step explanation:
The bag is three pounds
The bowl hold 1 pound and her rabbit rats 1 pound
Therefore you can fill it 3 times per bag :))
(3/1=3)
Answer:
Asia can fill the bowl 3 times and it would feed her rabbit 3 days.
A rocket is launched from the top of a building. The flight path is modelled by h = -4t2 + 16t + 24
where h is the height of the rocket from the ground in metres, and t is the time in seconds. What is the initial height of the rocket, when will the rocket hit the ground and what is the height of the rocket after 4 seconds
The initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The initial height of the rocket is given by the value of h when t = 0:
h(t)=-4t² + 16t + 24
h(0)=-4(0)² + 16(0) + 24
h(0)=24
So the initial height of the rocket is 24 metres.
The rocket will hit the ground when its height is 0 metres, so we can set h = 0 in the equation and solve for t:
0 = -4t²+ 16t + 24
-4t² + 16t + 24 = 0
t=-0.88 seconds
So the rocket will hit the ground after approximately 0.88 seconds.
The height of the rocket after 4 seconds is given by:
h(4)== -4(4)²+ 16(4) + 24
=-64+64+24
=24
So the height of the rocket after 4 seconds is 24 metres.
Hence, the initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.
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On a roll. Suppose that you roll a fair, 6-sided die 10 times. What's the probability that
you get at least one 6?
Tyne a responro
?
3 units
5 units
9 units
5 points
Find the distance between the points (-9, -1) and (-2,-6).
Answer:
Distance between points = 8.6
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(−2−−9)2+(−6−−1)2(-2--9)2+(-6--1)2
= √72+(−5)272+(-5)2
= √49+2549+25
= √7474 = 8.6023
Distance between points (-9, -1) and (-2, -6) is 8.6023
Write 6/7 as a decimal rounded to three decimal places.
Show step by step long division please :)
Answer:
0.857
Step-by-step explanation:
----------------
7 | 6
7 goes 0 times into 6, so we write a 0.
0.
----------------
7 | 6.0
Add .0 to 6 to get 6.0
7 goes 8 times into 60.
8 × 7 = 56
0.8
----------------
7 | 6.0
- 5.6
------------
60 - 56 = 4
Write another 0, 6.00, and bring down a zero.
0.8
----------------
7 | 6.00
- 5.6
------------
40
7 goes 5 times into 40.
0.85
----------------
7 | 6.00
- 5.6
------------
40
- 35
---------
40 - 35 = 5
Add another 0 to 6.00 to get 6.000; bring down that zero.
Now you have 50.
0.857
----------------
7 | 6.000
- 5.6
------------
40
- 35
---------
50
7 goes 7 times into 50.
7 × 7 = 49
Add a zero, bring down a zero,
0.857
----------------
7 | 6.0000
- 5.6
------------
40
- 35
---------
50
- 49
-----------
10
7 goes 1 time into 10.
You end up with 0.8571
0.8571
----------------
7 | 6.0000
- 5.6
------------
40
- 35
---------
50
- 49
-----------
10
- 7
-----------
3
0.8571 rounds to 0.857
NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
Answer:
3/10
Step-by-step explanation:
add all the marbles together4+6+10
=20
probability of picking a white marble is6/20
=3/10
What percent of the front page is taken up by the
prom story, including the prom photograph?
A. 20%
B. 22%
C. 25%
D. 45%
E. 60%
The percent of the front page taken up by the prom story is 20%
Calculating the percent of the front page taken up by the prom storyFrom the question, we have the following parameters that can be used in our computation:
The front page
From the front page, we have
Area front page = 5 * 4
Area front page = 20
Also, we have
Prom = 2 * 2
Prom = 4
So, we have
Percentage = 4/20 * 100%
Evaluate
Percentage = 20%
Hence, the percent of the front page taken up by the prom story is 20%
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Which graph best represents a function with a domain of all real numbers greater than or
equal to 5?
Answer:
(c)
Step-by-step explanation:
You want the graph that has a domain of x ≥ 5.
DomainThe domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.
Graph C is like that.
Convert 18 over 5 to a decimal using long division.
Answer:
3.6
Step-by-step explanation:
18/5 =3.6
5/5 = 1
18 - 15 =3. 15/5= 3
the remaining
3/5 = 0.6
3+0.6=3.6
Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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Find x and y. Give reasons to justify your solution.
The angles will be x = 8° and y = 21°
given information:
∠AOB = 180°
∠EOG = 90°
∠EOF and ∠FOG are complementary angles. Complementary angles are those whose sum is equal to 90° and it is given to us in the question.
∠EOG = ∠EOF + ∠FOG
90° = 27° + 3y
90 - 27 = 3y
63 / 3 = y
y = 21°
Similarly ∠AOE , ∠AOG and ∠GOB are supplementary to each other. Supplementary angles are those whose sum is equal to 180°
∠AOB = ∠AOE + ∠AOG + ∠GOB
180° = x + 90° + 8x + 18°
180 - 90 - 18 = 9x
9x = 72
x = 72 / 9
x = 8°
Hence we can clearly say that x = 8° and y = 21°
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Subtract 1 2/5 -(-3/5)
Answer:
2
Step-by-step explanation:
Convert them to mixed fractions and then find the lcd.
Hope this helps.
Question 1 Business Analytics
The responses to the linear optimization questions are;
Question 1
The optimal daily profit is $380
Question 2
The combination of x and y that yield the optimal value is the option;
x = 0, y = 3
What is linear optimization or optimization?Linear programming is a method by which the optimal solution can be obtained from a model represented mathematically and in which the constraints of the model have linear relationships.
Question 1
Let B represent the number of bear claws, C the almond-filled croissant, F represent the flour, Y represent the amount of yeast and A represent the number of almonds.
The amount of ingredient per each produce is therefore;
B = 6·F + 1·Y + 2·A
C = 3·F + 1·Y + 4A
The amount of ingredient available for the days production is as follows;
Ingredient available; 6600·F + 1400·Y + 4800·A
The constraints are therefore
6·B + 3·C ≤ 6,600
B + C ≤ 1,400
2·B + 4·C ≤ 4800
The maximizing function is therefore;
Profit = 0.2·B + 0.3·F
The equations of the lines are therefore;
B = 1,100 - 0.5·C
B = 1400 - C
B = 2400 - 2·C
The vertices of the feasible region are;
(0, 1100), (600, 800), (1000, 400), 1200, 0)
The values of the maximizing function at the vertices of the feasible region are;
Profit, P = 0.2×1100 + 3×0 = 220
At point (600, 800), P = 0.2×800 + 0.3×600 = 340
At point (1000, 400), P = 0.2×400 + 0.3×1000 = 380
At point (1200, 0), P = 0.2×0 + 0.3×1200 = 360
The maximum profit is $380, obtained when 400 Bear claws and 1000 almond filled croissants are producedQuestion 2
Maximize $3·x + $15·y
Subject to the following constraints;
2·x + 4·y ≤ 12
5·x + 2·y ≤ 10
x, y ≥ 10
The equations are therefore;
4·y ≤ 12 - 2·x
y ≤ 3 - 0.5·x...(1)
5·x + 2·y ≤ 10
2·y ≤ 10 - 5·x
y ≤ 5 - 2.5·x...(2)
x ≥ 10, y ≥ 10
The coordinates of the vertices of the feasible region are;
(0, 3), (1, 2.5), and (2, 0)
The values of the maximizing function are therefore;
At (0, 3), M = $3 × 0 + $15 × 3 = $45
At (1, 2.5), M = $3 × 1 + $15 × 2.5 = $40.5
At (2, 0), M = $3 × 2 + $15 × 0 = $6
The combination of x and y that yield the optimum is therefore;
(x, y) = (0, 3)
x = 0, and y = 3
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Ryan's brother works in a shoe store. He earns $12 per hour. The store offers him a raise — a 5% increase per hour. After the raise, how much will Ryan's brother make per hour?
Answer:
$12.60
Step-by-step explanation:
12x.05 = .6 then .6+12 is 12.6
sorry if this is wrong lol
3(5+7)-6(4-2x) what is equivalent to this equation
Answer:
\(12(1 + x)\)
Step-by-step explanation:
We will use order of operations to simplify this expression.
We will evaluate the brackets first.
3(5+7)-6(4-2x) =
\(3(12) - 6(4 - 2x) \\ = 36 - 6(4 - 2x) \\ = 36 - 24 + 12x \\ = 12 + 12x\)
You can further simplify it by factorising it:
\(12 + 12x \\ = 12(1 + x)\)
\(\huge\text{Hey there!}\)
\(\mathsf{3(5 + 7) - 6(4 - 2x)}\)
\(\mathsf{= 3(5) + 3(7) - 6(4) - 6(-2x)}\)
\(\mathsf{= 15 + 21 - 24 + 12x}\)
\(\mathsf{= 36 - 24 + 12x}\)
\(\mathsf{= 12 + 12x}\)
\(\mathsf{= 12x + 12}\)
\(\huge\text{Therefore, your answer should be:\boxed{\mathsf{12x + 12}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
6) The frequency table represents lunch choices for 22 middle school students. Each student may only make one choice. What frequency count should be recorded for the soup category?
-------
A) 2
B) 4
C) 6
D) 8
The frequency count that should be recorded for the soup category is 6.
What does subraction mean?
Subtraction is the process of taking one number away from another number. The sign used to represent subtraction is -.
What is the frequency count for the soup category?The frequency count on the table should be equal to the number of students. Thus, in order to determine the frequency count for the soup category, subtract 22 from the total frequency count.
The frequency count for the soup category = 22 - (5 + 8 + 2 + 1 ) = 6
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Together, Steve and Tom sold 125 raffle tickets for their school. Steve sold 17 more than three times as many raffle tickets as Tom. How many raffle tickets did each boy sell?
Tom sold 27 raffle tickets and Steve sold 98 raffle tickets.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
Together, Steve and Tom sold 125 raffle tickets for their school.
Steve sold 17 more than three times as many raffle tickets as Tom.
Let s be the number of raffle tickets sold by Steve and t be the raffle tickets sold by Tom.
So,
3t + 17 + t = 125
4t = 108
t = 27
And s = 98
Therefore, Steve sold 98 and Tom sold 27 tickets.
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Caroline is baking pies to the teachers lunch at her school she plans to give every teacher 1/8 of a pie she decides to bake 12 pies Each pie takes 26.5 minutes to bake if coraline bakes 1 pie at a time how many total minutes is it
Answer:
It will take her 318 minutes.
Step-by-step explanation:
26.5 times 12 equals 318
Plz help easy in this easy math question
Answer:
The domain is all real numbers
The range is \(y \leq 3\)
Step-by-step explanation:
The domain is the values that the input can take.
X can be from - infinity to infinity
The domain is all real numbers
The range is the values that the output can take
Y can be from - infinity to 3
The range is \(y \leq 3\)
Answer:
thats the diagram of landlines stocks in a nutshell
Step-by-step explanation:
hahaha
Question is present in the image
The equivalent equation to the given one is:
h = A*t/(b - c)
Which of the equations is equivalent to the given one?We want to find an equation equivalent to the one below:
A = h*(b - c)/t
If we solve the equation for t, we would get:
t = h*(b - c)/A
If we solve the equation for h, we will get:
h = A*t/(b - c)
If we solve the equation for b, we will get:
A = h*(b - c)/t
A*t/h = b - c
A*t/h + c = b
And if we solve it for c, we will get:
c = b - A*t/h
Then the correct option is the last one;
h = A*t/(b - c)
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Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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Ronnie made a scale drawing of a shopping center. A bakery in the shopping center is 7 inches wide in the drawing. The actual bakery is 42 feet wide. What is the scale of the drawing?
Answer:
1:72
Step-by-step explanation:
The scale of a drawing is the ratio of the length in the drawing to the real length.
Drawing length: 7 inches
Real length: 42 ft × 12 in. / ft = 504 in.
Scale:
7 in. to 504 in.
Divide both numbers by 7:
1 in. to 72 in.
Scale: 1:72
Five less than twice the value of a number is equal to three times the quantity of 4 more than 1/2 the number what is the number let x be the number right and solve an equation to find x show your work.
The value of the number is x = 34.
Let's break down the problem and solve it step by step.
1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.
2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).
According to the problem statement, the two expressions are equal. We can set up the equation as follows:
2x - 5 = 3 * (x/2 + 4)
Now, let's solve the equation:
2x - 5 = 3 * (x/2 + 4)
Distribute the 3 to both terms inside the parentheses:
2x - 5 = (3/2)x + 12
Multiply through by 2 to eliminate the fraction:
2(2x - 5) = 2((3/2)x + 12)
4x - 10 = 3x + 24
Next, let's isolate the x term by moving the constant terms to the other side of the equation:
4x - 3x = 24 + 10
Simplify:
x = 34
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. Compare the value of the 4's in this number
64,432
Write your statement
The 4 on the right is 10 times larger than the 4 on the left! (=^.^=)
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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Question 17 of 25
Which of the following could be the equation of the graph shown below?
Check all that apply.
A. y = -10
B. 2x-3y = -9
C. -4x+2y=-6
D. y = 3x-2
The equation of a line is not unique to its graph; this means that multiple lines can have the same slope and y-intercept. Therefore, this equation is a possible match, making option D the correct answer.
The equation of the graph shown below could be `y = 3x - 2`.
We are given an equation of the line that can fit the graph shown.
To determine which equation it is, we can compare the graph to each of the answer choices:
A. y = -10:
This is the equation of a horizontal line that is 10 units below the x-axis.
It is not the equation of the graph shown.B. 2x - 3y = -9:
To convert this equation to slope-intercept form, we need to solve for y:
2x - 3y = -93y = 2x + 9y
= (2/3)x + 3
This is the equation of a line with a slope of 2/3, meaning it has a positive slope.
The graph shown has a negative slope, so this equation is not a match.C.
-4x + 2y = -6:
To convert this equation to slope-intercept form, we need to solve for y:
-4x + 2y = -62y
= 4x - 6y
= 2x - 3
This is the equation of a line with a slope of 2, meaning it is steeper than the graph shown.
This equation is not a match.D. y = 3x - 2:
This equation is already in slope-intercept form, meaning it has a slope of 3 and a y-intercept of -2.
The graph shown has a slope of -3 and a y-intercept of -2.
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Find the equation of the line perpendicular to y= 3x - 6 that runs through the point (-1, -3).
Answer:
The equation of the line is;
\(y=-\frac{1}{3}x-\frac{10}{3}\)Explanation:
Given that the line is perpendicular to the equation;
\(y=3x-6\)So, the slope of the line will be the negative inverse of the slope of the equation above;
\(m=-\frac{1}{3}\)Also, the line passes through the point;
\((-1,-3)\)Applying the point-slope form of linear equation;
\(y-y_1=m(x-x_1)\)Substituting the values of the slope and coordinates;
\(\begin{gathered} y-(-3)=-\frac{1}{3}(x-(-1)) \\ y+3=-\frac{1}{3}(x+1) \\ y+3=-\frac{1}{3}x-\frac{1}{3} \\ y=-\frac{1}{3}x-\frac{1}{3}-3 \\ y=-\frac{1}{3}x-3\frac{1}{3} \\ y=-\frac{1}{3}x-\frac{10}{3} \end{gathered}\)Therefore, the equation of the line is;
\(y=-\frac{1}{3}x-\frac{10}{3}\)Find all values of x that make the equation true. 3/x+3 = x-4/x
Answer:
X = -2 - 2(square root)3 or x = -2 + 2 (square root )3
Step-by-step explanation:
The highway mileage for a simple of 5 different models of a car company can be found below. Find the mean, median, mode and range