Answers
A positive and a negative co - terminal angle for each given angle is 1) -π/2 and -9π / 2 and 2) 7π / 2 and -π / 2 .
Given :
a positive and a negative co - terminal angle for each given angle
1 )
= -5π / 2
To find positive and negative co - terminal angle we need to add and subtract by 2π .
= -5π / 2 + 2π
= -5π + 4π / 2
= -π/2
= -5π / 2 - 2π
= -5π - 2 * 2π / 2
= -5π - 4π / 2
= -9π / 2
or =
2 )
= 3π / 2
= 3π / 2 + 2π
= 3π + 2 * 2π / 2
= 3π + 4π / 2
= 7π / 2
= 3π / 2 - 2π
= 3π - 4π / 2
= -π / 2
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Related Questions
What is the range of this data set 64,72,74,68,70,68,70,68,68,76, and 44?
Answers
Answer:
Range= 32
Step-by-step explanation:
Take the highest value in the set (76) and subtract the lowest set from it (44). 76 - 44 = 32
Solve by Factoring:
2x^2 - x - 3 = 0
Answers
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.
Answers
Answer:
Step-by-step explanation:
The angle of depression is the downward angle the air traffic controller
looks down from in the tower. It also equals the angle of elevation which is the angle formed by the runway and the line of sight.
With this information you can find the remaining angle:
180 - (90 + 18)
180 - 108 = 72
Let Angle B = 72°
Angle A = 18°
Angle C =90°
We have one side - 140 feet - this is side a - it is across from angle A.
There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)
Using the law of sines:
sin A/a = sinB/b
sin 18°/a = sin72°/b
.3090/140 = .9510/x
cross multiply and then divide
140 × .9510/.3090
133.14/.3090
430.873 ft
round to a tenth = 430.9 ft
Graph the given function.
f(x) = 7
Which key features apply to the graph?
A.
The graph has an asymptote at y
O and is decreasing as x approaches positive infinity.
OB
O C.
The graph has an asymptote aty 7 and is decreasing as x approaches positive infinity.
The graph has an asymptote at y = 7 and is increasing as x approaches positive Infinity.
The graph has an asymptote aty = 0 and is increasing as x approaches positive infinity.
OD.
Answers
The graph has an asymptote at y = 0 and is increasing as x approaches positive Infinity. Then the correct option is A.
What is asymptote?An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.
Graph the given function.
f(x) = (7)ˣ
The graph of the function is given below.
From the graph, the graph has an asymptote at y = 0 and is increasing as x approaches positive Infinity.
Then the correct option is A.
The complete question is given below.
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Express 236% as a mixed number in simplest form
Answers
Answer:
2\(\frac{9}{25}\)
Step-by-step explanation:
At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.
How many oatmeal cookies were at the party?
Answers
Answer:
15 oatmeal cookies.
train A arrives at the station at 11:50 Am and leaves the station at 1:50 PM.how long does it stay in the station?
Answers
Answer:
2 hrs.
Step-by-step explanation:
11:50am ----> 12:50pm (1 hr.)
+
12:50pm ---> 1:50pm (1 hr.)
= 2 hrs
write (4^sqrt81)^5 in exponential form
Answers
Answer:
\({4}^{45}\)
Step-by-step explanation:
\( \huge \: ( {4}^{ \sqrt{81} } )^{5} \\ \\ \huge= ( {4}^{ \sqrt{ {(9)}^{2} } } )^{5} \\ \\\huge= ( {4}^{9 } )^{5} \\ \\\huge= {4}^{9 \times 5} \\ \\\huge= \red{ \boxed{{4}^{45}}} \\ \\\)
Inequalities - Introduction
Answers
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
The equation x^2-8x-5=0 can be transformed into the equation (x-p)^2=q, where p and q are real numbers. What is the value of q?
Answers
Since p and q are real numbers, the value of q is 21.
What is a quadratic equation?In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 8x - 5 = 0
x² - 8x = 5
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 8x + (-8/2)² = 5 + (-8/2)²
x² - 8x + 16 = 5 + 16
x² - 8x + 16 = 21
By simplifying, we have;
(x - 4)² = 21
p = 4 and q = 21
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Find the trigonometric functions for angle e and angle d
Answers
Answer:
∠E = tan
∠D = tan
Step-by-step explanation:
Common sense, only perpendicular and base is present.
Use the maps to select the word or phrase that best completes each sentence. Ancient Egypt differs from modern Egypt mainly in terms of Modern Egypt has more y than ancient Egypt. However, in both ancient Egypt and modern Egypt, most cities were located near the
Answers
Answer:
Ancient Egypt differs from modern Egypt mainly in terms of ✔ size .
Modern Egypt has more ✔ territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the ✔ Nile River .
i would really appreciate it if you mark this answer brainlest.
The word or phrase that best completes each sentence are size, territory and Nile River.
What as the ancient Egypt about?The ancient Egypt was a civilization in northeastern Africa that dates from the 4th millennium BCE and its many achievements were preserved in its art and monuments, hold a fascination that continues to grow as archaeological finds expose its secrets.
Ancient Egypt differs from modern Egypt mainly in terms of size.
Modern Egypt has more territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the Nile River.
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Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
Answers
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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to determine whether families with children would use school vouchers to send their children to charter schools, from which of the following populations should you select a sample?
Answers
Parents of children under the age of 18.
It is seldom feasible to get data from every member of a group of individuals when conducting research on them. In its place, you pick a sample. The population that will actually take part in the study is the sample. It is referred to as a sampling method. You can use one of the following two main sampling techniques in your study:
Random selection is a key component of probability sampling, which enables you to draw robust statistical conclusions about the entire group.
Non-probability sampling entails non-random selection based on practicality or other factors, making it simple to gather data.
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The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answers
Answer:
The correct answer is the first one of your list of options:
"Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points."
Step-by-step explanation:
Since the y-intercept is -6, then the point (0, -6) is a point on the line.That is x = 0 and y = -6. From there you move according to the slope value "2 = 2/1" which means two units of rise when the run is one.
Then, from (0, -6) move up 2 units and then right one unit. The new point should also be a point on the line. Join the two points with a line to graph the function.
allen ahs 9 trading cards. thres re 10 in each pack. he can trade 30 cards for a comic book how many comic books can he get
Answers
Based on the number of trading cards pack Allen has and the number of trading cards in each pack, Allen can get 3 comic books
How to find number of comic books Allen can get?Number of packs of trading cards Allen has = 9Number of trading cards in each pack = 10Total number of trading cards Allen has = Number of packs of trading cards Allen has × Number of trading cards in each pack
= 9 × 10
= 90 trading cards
Number of cards Allen can trade for each comic book = 30
Number of comic books Allen can get with his trading cards = Total number of trading cards Allen has / Number of cards Allen can trade for each comic book
= 90/30
= 3 comic books
Therefore, Allen can get 3 comic books with his trading cards.
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A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Use 3.14 for \piπpi and enter your answer as a decimal.
Answers
Answer:
The radius of the circle is 24.5 units
Step-by-step explanation:
The formula for the circumference of a circle is \(C=2\pi r\)
Where \(C\) is the circumference and \(r\) is the radius.
Lets solve for \(r\).
Divide both sides of the equation by \(2\pi\).
\(\dfrac{C}{2\pi}=r\)
Now we have an equation to evaluate the radius.
Numerical Evaluation
In this example we are given
\(C=153.86153\\\pi =3.14\)
Substituting our values into our equation for the radius yields
\(r=\dfrac{153.86153}{2*3.14}\)
\(r=\dfrac{153.86153}{6.28}\)
\(r=\dfrac{153.86153}{6.28}\)
\(r=24.5\)
Evaluate |r| when r=−29.
Answers
Reason: The absolute value erases the negative sign.
Saying |-29| = 29 means that the number -29 is 29 units from 0 on the number line.
Answer: 29
Step-by-step explanation: The absolute value of -29 is 29. An absolute value is a number's distance from 0. -29 + 29 = 0, therefore the absolute value is 29.
a car slows from 44m/s to 16m/s over 3s what is its average acceleration?
Answers
The distance (in meters) at which a car needs to stop is equal to 4 times the square root of the speed of the car (in meters per second) when the driver
applies the brake A car is travelling 9 meters per second What is the distance at which the car will stop when the driver applies the brake
Answers
Answer:
12 mStep-by-step explanation:
As per given the formula for distance is:
d = 4√sIf s = 9 m/s, then the distance is:
d = 4√9 = 4*3 = 12 mlook at the picture
Answers
Answer:
C
Step-by-step explanation:
x²-9x<-8
x²-9x+(-9/2)²<-8+(-9/2)²
(x-9/2)²<-8+81/4
(x-9/2)²<(-32+81)/4
(x-9/2)²<49/4
|x-9/2|<7/2
-7/2<x-9/2<7/2
add 9/2
9/2-7/2<x-9/2+9/2<7/2+9/2
2/2<x<16/2
1<x<8
20.A card is drawn from a standard deck of 52 cards, and then replaced in the deck. Find the probability that at least one king is drawn by the fourth draw. Round your answer to two decimal places. Do not round until your final calculation.
Answers
In order to find the probability of at least one king being drawn, let's calculate the probability of the complementary event, that is, no king being drawn.
There are 4 kings in a 52 cards deck, so the probability of drawing a king is 4/52 and not drawing a king is 48/52.
The probability of drawing 4 cards (with replacement) and none of them being a king is:
\(P(no\text{ }king\text{ x4})=(\frac{48}{52})^4\)Then, the probability of drawing 4 cards (with replacement) and at least one of them being a king is:
\(\begin{gathered} P(\text{at least one king})=1-P(no\text{ }king\text{ x4})\\ \\ =1-(\frac{48}{52})^4=0.2740 \end{gathered}\)Rounding to the nearest hundredth, the probability is 0.27.
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Which value below is included in the solution set for the inequality statement? -3(x-4) > 6(x-1) 0-1 02 07 0 3 NEXT QUESTION ASK FOR HELP
Answers
The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.
To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.
Starting with the given inequality:
-3(x - 4) > 6(x - 1)
First, distribute -3 and 6 to the terms inside the parentheses:
-3x + 12 > 6x - 6
Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:
-3x - 6x > -6 - 12
-9x > -18
To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:
x < (-18) / (-9)
x < 2
Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.
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Suppose you would like to make pancakes according to the given recipe:
Blueberry Pancakes Recipe, makes 6 servings
2 cups flour
2 tablespoons baking powder
1 teaspoon salt
2 eggs
1 1/2 cups milk
1 1/4 cups blueberries
Convert the amount of each ingredient of the recipe to make 15 servings. Round any decimal answers to two places.
Hint: You may want to make use of the conversion factor 15/6.
Answers
Answer:
4 1/2 cups of flour
4 1/2 tablespoons baking powder
4 1/2 teaspoon salt
4 1/2 eggs
5 cups of milk
5 cups of blueberries
Step-by-step explanation:
Correct answer gets brainliest!!!!
Answers
Answer:
a) 5
Step-by-step explanation:
the question say how many zero-dimensional objects are labeled on the object. so, you would count how many blue dots you see on the object, as you can see their are four dots on the the bottom, and one dot at the top.
so, 4 dots + 1 dot = ?
5 blue dots
so your answer is 5.
hopefully this helps, let me know if it doesn't.
What number is 0.5% of 8
Answers
Answer:
0.5%=0.5/100
0.5/100×8=0.04
use the angles show to determine if the line are paraller
Answers
In order to prove if two lines are parallel, there are different theorems. One of them is the "Alternate exterior angles", which states:
In the image, we can see that the alternate exterior angles are equal, then these lines are parallel.
Find the maximum and minimum values of the function g(θ) 5θ-9sin(θ) on the interval [0, π] Minimum value =
Maximum value =
Answers
Answer:
max=50
min=41
Step-by-step explanation:
graph
Jill and Frank decided to take a long weekend in New York. City Hotel has a special getaway weekend for $79.95. The price is per
person per night, based on double occupancy. The hotel has a minimum two-night stay. For this price, Jill and Frank will receive $50
credit toward their dinners at City's Skylight Restaurant. Also included in the package is a $3.99 credit per person toward breakfast for
two each morning.
Since Jill and Frank do not own a car, they plan to rent a car. The car rental agency charges $19.95 a day with an additional charge of
$.22 a mile and $1.19 per gallon of gas used. The gas tank holds 24 gallons.
From the following facts, calculate the total expenses of Jill and Frank (round all answers to nearest hundredth or cent as appropriate).
Assume no taxes.
Answers
Answer:
$560.33
Step-by-step explanation:
Hotel: 79.95*2*2=$319.8
Dinner: 182-50=$132
Breakfast:
24.17+26.88=$51.0551.05-3.99*4=$35.09Rental:
19.95*2=$39.94940-4820=120 120*0.22=$26.41/2=2/4 3/4-2/4=1/4 ---> so they used 1/4 of the tank which is 1/4*24=6 6*1.19=$7.1439.9+26.4+7.14=$73.44Hotel+dinner+breakfast+rental: 319.8+132+35.09+73.44=$560.33