Given right triangle MNO, which represents the value of cos(M)?
a) ON/MN
b) MN/MO
c) ON/MO
d) MN/ON
Answers
The option that represents cos M is MN / MO
Using trigonometric ratios, we can find the ratio of sides of a right angle triangle.
Trigonometric ratios:sin x = opposite / hypotenusecos x = adjacent / hypotenusetan x = opposite / adjacentTherefore,
cos M = adjacent / hypotenuse
cos M = MN / 0M
Therefore, cos M = MN / MO
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Related Questions
Using a six-sided die, what is the probability of rolling either a 5 or a 6?
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The probability of rolling either a 5 or a 6 using a six-sided die is 1/3.
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.
Now it is given that a six-sided die is rolled.
Total Number of outcomes = 6
To get either a 5 or a 6
So, Possible number of outcomes = 2
Since ,
Probability = Possible number of outcomes / Total Number of outcomes
⇒ Probability of rolling either a 5 or a 6 = 2/6
or, Probability of rolling either a 5 or a 6 = 1/3
Thus, the probability of rolling either a 5 or a 6 using a six-sided die is 1/3.
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When the mean, median, and mode are not in the same place, the distribution is:?
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When the mean, median, and mode are not located at the same point, the distribution is skewed, either to the left (negatively skewed) or to the right (positively skewed).
Explanation:When the mean, median, and mode are not in the same place, the distribution is known to be skewed. If the mean is less than the median, which is often less than the mode, the distribution is skewed to the left (or negatively skewed). Conversely, if the mode is less than the median, which is less than the mean, the distribution is skewed to the right (or positively skewed). Skewness indicates that the data is not symmetrically distributed and reflects the direction of the tail where the values trail off more.
In symmetrical distributions, the mean, median, and mode are all located at the same point, typically at the center of the distribution. However, when the values are not symmetrical, it indicates a skew. For example, in a data set with the values 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, the distribution is not symmetrical since it is skewed to the left, with a higher frequency of higher values.
Thus, understanding the relationship among the mean, median, and mode helps in recognizing the type of distribution and in making inferences about the data set.
Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 4 vertices and 6 edges have?
7
4
6
5
Please Help!
Answers
4 vertices mean V=4
6 edges mean E=6
4-6+F=2
-2+F=2
F=4
A polyhedron with 4 vertices and 6 edges would have 4 faces, according to Euler's formula.
Explanation:This question involves the understanding of Euler's formula applied on polygons. Euler's formula, as given in the question is V – E + F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces. To answer your question, we need to solve the formula for F. Let's replace V and E with the given numbers, which are 4 for vertices and 6 for edges.
So the formula becomes 4 – 6 + F = 2. Simplifying this, we get -2 + F = 2. Solving for F, we find F = 1 + 2, which means F = 4. So, a polyhedron with 4 vertices and 6 edges would have 4 faces.
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The expression V = 2x3 + 6x2 can be used to find the volume of the trapezoidal prism below. If x = 12 cm, what is the volume of the prism?
Answers
x = 12
V = 2(12^3) + 6(12^2)
V = 2(1728) + 6(144)
V = 3456 + 864
V = 4320
The volume of the prism is 4320 cubic units
The expression for the volume is given as:
V = 2x^3 + 6x^2
When x = 12, the expression becomes
V = 2 * 12 ^3 + 6 * 12^2
Evaluate the exponent
V = 2 * 1728 + 6 * 144
Evaluate the products
V = 3456 + 864
Evaluate the sum
V = 4320
Hence, the volume of the prism is 4320 cubic units
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Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)
Answers
y = 5x + 10
The slope-intercept form is y = mx + b, where m = slope, and b = y-intercept.
In this case, the 5 is the slope.
Parallel lines have equal slopes, so the line we need to find also has a slope of 5. Its equation is
y = 5x + b
We need to find what b is.
We can use the given point, (3, 10), in for x and y and solve for b.
10 = 5 * 3 + b
10 = 15 + b
-5 = b
Now that we know that b = -5, we replace b with -5 to get our equation
y = 5x - 5
The equation of the required line is [tex]y=5x-5[/tex].
Given:
The eqation of paralle line is [tex]y-5x=10[/tex]. The required line passes through the point [tex](3,10)[/tex].To find:
The equation of the required line in slope-intercept form.
Explanation:
The given equation can be rewritten as:
[tex]y=5x+10[/tex]
On comparing this equation with [tex]y=mx+b[/tex], we get
[tex]m=5[/tex]
Slopes of parallel lines are always equal.
The slope of reqired line is [tex]m=5[/tex] and it passing through the point [tex](3,10)[/tex]. Using the point slope form, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-10=5(x-3)[/tex]
[tex]y=5x-15+10[/tex]
[tex]y=5x-5[/tex]
Therefore, the equation of the required line is [tex]y=5x-5[/tex].
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Question 3 e and f are sets of real numbers defined as follows.
Answers
The letters A, B, C, D, E, F, G, H, I, and J are written on slips of paper and placed in a hat. Two letters are then drawn from the hat. What is the probability that the letters chosen would be only B, C, D, or F?
Answers
The final balance in an account that has a monthly fee and automatic monthly deposits is given by the expression. The initial account balance is $1200.
150x−4.99x+1200
What does the expression 150x−4.99x represent?
a.the final balance
b.the monthly balance change
c.the initial balance
d.the monthly fee total
i got b
Answers
Above answer is correct, I took the test.
answer: the monthly balance change
Which of the following are NOT sufficient to prove that a quadrilateral is a parallelogram? I. Two pairs of opposite angles congruent. II. A pair of adjacent angles are supplementary. III. Both pairs of opposite sides are congruent. IV. A pair of opposite angles congruent and a pair of opposite sides congruent. V. Both pairs of opposite sides are parallel. VI. A pair of opposite sides parallel and the other pair of opposite sides congruent. VII. One pair of opposite sides are both parallel and congruent. VIII. The diagonals bisect each other. A. IV and VII only B. II, VI, and VII only C. II and VI only D. II, IV, and VII only
Answers
A pair of adjacent angles being supplementary, a pair of opposite angles congruent and a pair of opposite sides congruent, and one pair of opposite sides being both parallel and congruent are not sufficient conditions on their own to prove that a quadrilateral is a parallelogram.
Among the given statements concerning the characteristics that are sufficient to prove a quadrilateral is a parallelogram, the following are NOT sufficient on their own:
A pair of adjacent angles are supplementary (statement II).
A pair of opposite angles congruent and a pair of opposite sides congruent (statement IV).
One pair of opposite sides are both parallel and congruent (statement VII).
While having a pair of adjacent angles that are supplementary is common in parallelograms, it alone does not guarantee that a quadrilateral is a parallelogram, as many quadrilateral types can have supplementary adjacent angles. Similarly, having just one pair of opposite angles and one pair of opposite sides congruent doesn't necessarily make a quadrilateral a parallelogram, as these characteristics could describe a kite or other quadrilaterals as well. The condition of one pair of opposite sides being both parallel and congruent, although a property of parallelograms, is not by itself a conclusive proof, as there may need to be additional information to rule out other shapes like rectangles.
Correct Answer: B. II, VI, and VII only
Kate has some dimes and quarters. if she has 1919 coins worth a total of $2.95, how many of each type of coin does she have?
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In a couple of sentences and your own words describe how to re-write an expression that's in radical form into an expression with rational exponents?
Answers
Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.
Example:
√(x³) = square root of x³ = x^(3/2)
X= -75/y; X=6
what's the answer & how do u solve this?
Answers
[tex]x = \frac{-75}{y} For x = 6 Well, first replace x by 6 6 = -75/y Cross multiply 6*y = -75 6y = -75 Divide both sides by 6 to find y 6y/6 = -75/6 y= -25/2 Best of luck with your studies! [/tex]
Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your answer to two decimal places.
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Explain how to use the grid method for multiplying binomials
Answers
1. Identify all the terms in the expression:
x, 1, x, 2
2. Align the terms in a grid-like fashion according to their binomials:
x 1
x
2
3. Now, multiply all the terms together (ex. x × x is x²)
x 1
x x² 1x
2 2x 2
4. Put all products in decreasing order:
x²+1x+2x+2
5. Combine Like Terms (CLT):
x² + 3x + 2
Therefore, the answer is x² + 3x + 2. As you can see, the grid method is figuratively long, and the FOIL method is definitely recommended. Hope this helped!
A bread recipe calls for 1/3 cup of white flour and 2 3/4 cups of whole wheat flour. What is the total amount of flour needed?
Answers
What is the equation of a circle with center (-3, -1) that contains the point (1, 2)?
Answers
hmmm what's the radius anyway? well, we know that there's a point at 1,2 that is on the circle's path...hmmmm what's the distance from the center to that point? well, is the radius, let's check then.
[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ -1}})\quad % (c,d) &({{ 1}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ r=\sqrt{[1-(-3)]^2+[2-(-1)]^2}\implies r=\sqrt{(1+3)^2+(2+1)^2} \\\\\\ r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5[/tex]
so, what's the equation of a circle with center at -3, -1 and a radius of 5?
[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad \begin{array}{lllll} center\ (&{{ h}},&{{\quad k}})\qquad radius=&{{ r}}\\ &-3&-1&5 \end{array} \\\\\\\ [x-(-3)]^2+[y-(-1)]^2=5^2\implies (x+3)^2+(y+1)^2=25[/tex]
Answer:
(x + 3)^2 + (y + 1^)2 = 25
Step-by-step explanation:
The distance formula gives the length of the radius:
r = √(-3-1)^2 + (- 1-2)^2 = √25 = 5
Substituting h = -3, k = -1, and r = 5 into the standard form (x - h)2 + (y - k)2 = r2, you get (x + 3)2 + (y + 1)2 = 52 = 25.
edmentum :)
a googol is a large number that is the digit one followed by one hundred zeros.if you multiply a googol by 100, how many zeros will that product have
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Which choices are equivalent to the quotient below? Check all that apply √75/√15 A. 5 B. √25/√5 C. 15/3 D. √5 E. √3 F. √15/√3
Answers
Answer:
sqrt15/3, sqrt 5, sqrt 25/5
Step-by-step explanation:
aye pex
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?
Answers
center(-2,4)
Answer: The required center of the given circle is 2 units.
Step-by-step explanation: We are given to find the radius of a circle with the following equation:
[tex]x^2+y^2+8x-6y+21=0~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The standard equation of a CIRCLE with radius 'r' units and center at the point (h, k) is given by
[tex](x-h)^2+(y-k)^2=r^2.[/tex]
From equation (i), we have
[tex]x^2+y^2+8x-6y+21=0\\\\\Rightarrow (x^2+8x+16)+(y^2-6y+9)-16-9+21=0\\\\\Rightarrow (x^2+2\times x\times 4+4^2)+(y^2-2\times x\times 3+3^2)-4=0\\\\\Rightarrow (x+4)^2+(y-3)^2=4\\\\\Rightarrow (x-(-4))^2+(y-3)^2=2^2.[/tex]
Comparing the above equation with the standard equation (i), we get
radius, r = 2 units and center, (h, k) = (-4, 3).
Thus, the required center of the given circle is 2 units.
bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the probabilities of each outcome. what is the probability that bill will get the next arrow in the inner or outer ring?express your answer as a decimal
Answers
Given the table below that gives the probabilities of outcomes.
[tex]\begin{tabular} {|c|c|c|c|c|} \bold{Outcome}&Bull's-eye&Inner ring&Outer ring&Miss\\ \bold{Probability}&0.036&0.297& 0.423&0.244 \end{tabular}[/tex]
The probability that Bill will get the next arrow in the inner or outer ring is given by
P(inner ring) + P(outer ring) = 0.297 + 0.423 = 0.72
Therefore, the probability that Bill will get the next arrow in the inner or outer ring is 0.72
You are ordering pizzas for a birthday party and getting them delivered to your house. you order 12 pepperoni pizzas, 8 cheese pizzas, and 4 hawaiian pizzas. there is a delivery fee of $5.50 if your total comes to 184.54. how much was each pizza
Answers
The answer would be $7.46. If you subtract the delivery fee then divide by how much pizzas there are you would find the amount per each pizza.
Select all that apply. If p is a statement, which of the statements is the negation of p. not p. and p. p is false. or p. p is true.
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what is 0.81% written as a decimal
Answers
Hope it helped! Have a great day
Answer: 0.0081
For what value of b does
Answers
Note that (1/12)^-2b is the same as 12^2b. When we add the exponents we get 2b-2b+2=2, hence 12² on the left.
Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front. A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2.20 dollars, Basic Proofreading 2.80 dollars, Extended Proofreading 3.90 dollars, and Deep Editing 12 dollars Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount: 25c − 0.05(25c) = T Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?
Answers
25c - 1.25c = 66.50
23.75c = 68.50
c = 68.50 / 23.75
c = 2.88
The best quality of editing she can get is basic Proofreading
Translate the variable expression into a word phase
2 x (3 - x)
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How long does it take for a deposit of $900 to double at 2% compounded continuously?
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What are the roots of the polynomial equation? 0= x^2 +18x+45
Answers
First factor 45
Second you have (x+3)(x+15)
Third to find you zeros in this form it will be x=-3 and x=-15
Because it would be the opposite pf those numbers in the factored form
Answer:
-15 and -3
Step-by-step explanation:
Help this is urgent due tomorrow... The lowest price for a play is $15 and the highest ticket price is $45. Write and graph a compound inequality that describes the price of all tickets for the play.
Answers
The length of a rectangle is 55 meters longer than the width. if the area is 2929 square meters, find the rectangle's dimensions. round to the nearest tenth of a meter.
Answers
length = L = (w + 55)
w * (w + 55) =2,929 sq meters
w^2 +55w -2,929,= 0
width = 33.206 = 33.2 meters (rounded)
Length = 33.2 + 55 = 88.2 meters