Answer:
b
Step-by-step explanation:
if angle poa is a right angle and if measure of angle coa is three times as large as measure angle poc.
The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.
POA is a right angle so it is 90 degrees.
POC +COA = 90 .....(1)
Also, POC is 3 times as large as COA.
Let's take COA, "x"
POC = 3x
Substituting the values in equation (1) as follows:
x + 3x = 90
4x = 90
x= 22.5
Therefore,
COA = 22.5°
POC = 22.5*3 = 67.5°
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15% OFF!
Gabe wants to buy a dog collar. The sale price is $3.91. What was the original price?
$
the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)
Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answer:
x > -5, so the correct answer is C.
If you get the answer can you also explain how you go it
6. A shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandals. Write an expression for the total amount of sales the store makes.
The expression for the total amount of sales the store makes will be:25s + 28.8p
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.
Let sneakers = s
Let sandals = p
An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).
= 25s + 28.8p
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A poker hand consists of 5 cards. If the cards have distinct consecutive values and are not all of the same suit, we say that the hand is a straight. For instance, a hand consisting of the five of spades, six of spades, seven of spades, eight of spades, and nine of hearts is a straight. What is the probability that one is dealt a straight
Answer:
The answer is blah blah blah blah
what is 5/8 - 1/10 please help
Answer:
0.525
Step-by-step explanation:
by using two simple numbers just subtract with a regular calculator <3 If I got it wrong very sorry
Find the equation of a line that contains points (5,-3) and (-2,-4) in standard form
To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.
Determine the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
For the given points (5, -3) and (-2, -4), we have:
m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7
Use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (5, -3), we have:
y - (-3) = (1/7)(x - 5)
Simplifying:
y + 3 = (1/7)(x - 5)
Convert the equation to standard form:
Multiply both sides of the equation by 7 to eliminate the fraction:
7y + 21 = x - 5
Rearrange the equation to have the x and y terms on the same side:
x - 7y = 26
The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.
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ach ant has 6 legs. How many legs do 3 ants have?
Ants 1 2 3
Legs 6 ?
Answer:
Step-by-step explanation:
the answer is 18 I think?
Answer:
18
Step-by-step explanation:
6 (legs) x 3 (ants) = 18 legs
It can also be represented as 6+6+6 (18)
hope this helps :)
Provide the solutions of the quadratic equation below by using quadratic Formula: x^2+5x+1=0
The two solutions of the quadratic equation x^2 + 5x + 1 = 0 are:
x = (-5 + √21) / 2
and
x = (-5 - √21) / 2
To find the solutions of the quadratic equation x^2 + 5x + 1 = 0 using the quadratic formula, we can apply the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = 5, and c = 1. Substituting these values into the quadratic formula, we have:
x = (-(5) ± √((5)^2 - 4(1)(1))) / (2(1))
Simplifying:
x = (-5 ± √(25 - 4)) / 2
x = (-5 ± √21) / 2
Hence, the two solutions of the quadratic equation x^2 + 5x + 1 = 0 are:
x = (-5 + √21) / 2
and
x = (-5 - √21) / 2
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What is the value of Z?
The value of Z in the similar triangles is 6
Calculating the value of Z?From the question, we have the following parameters that can be used in our computation:
The triangle
Using the corresponding sides of similar triangles, we have
z/12 = (14 - z)/16
Cross multiply the equation
This gives
16z = 168 - 14z
So, we have
30z = 168
Divide
z = 5.6
Approximate
z = 6
Hence, the value of Z is 6
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Which points on the number line are included in the solution set of this inequality? (GIVING BRAINLIEST
Answer:
The points -3, 5 and 8 are included in the solution set
Step-by-step explanation:
2 ≤ |x-3| ≤ 6
x-3 ≥ 2 or x-3 ≤ -2 --> x ≥ 5 or x ≤ 1
-6 ≤ x-3 ≤ 6 --> -3 ≤ x ≤ 9
-9 and -5 are smaller than -3 so they don't hold for the second inequality. -3 fits in both. but 0 and 2 don't fit in the first one.
then 5 does and 8 is included too.
The points -3, 5 and 8 are included in the solution set
Which expression is equivalent to this equation?
Answer:
Option b
Step-by-step explanation:
\(\bf \sqrt[3]{8x^{12}y^{5}}=(2^{3}x^{12}*y^{5})^{\dfrac{1}{3}}\)
\(= (2^{3*\frac{1}{3}})* x^{12*\frac{1}{3}}*y^{5*\frac{1}{3}}\\\\\\= 2x^{4}y^{\frac{5}{3}}\)
Hint:
\((a^{m}b^n)^{p}=a^{m*p} * b^{n*p}\)
how can 3.7 = x +(-5) be solved for x in one step?
Answer:
Step-by-step explanation:
2 steps
3.7 = x +(-5) , add 5 to both sides
3.7+ 5 = x + (-5) +5
8.7 = x , combine like terms
or 1 step
3.7 = x +(-5), add 5 to both sides and combine like terms
8.7 = x
If y varies directly as the square of x and Y--54 when x-9, then -- when x-6.
True or false
Answer:
24.012
Step-by-step explanation:
y=kx^2
54=81k
k=54/81
k=0.667
y=kx^2
y=0.667×36
y=24.012
its false ik this because im one of the boyzz
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
The numeric components of the electric field in a region of space can be calculated using the equations Ex=6xy and Ey= -5? Which of the following expressions vields the potentia difference between the points (0, Y) and (X,Y)
- [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)] is the expression for the potential difference between the two points.
The potential difference between two points in an electric field can be calculated using the equation ΔV = - ∫Edl, where Edl is the dot product of the electric field vector and the displacement vector between the two points. In this case, we have the components of the electric field, Ex and Ey. To calculate the potential difference, we need to find the displacement vector between the two points.
The given points are ~3rY and 3x'X, so the displacement vector can be expressed as dl = (3x'X - 3rY)i + (3rY - 3x'X)j. Substituting this into the equation for ΔV, we get:
ΔV = - ∫ (Exi + Eyj) . (dl)
= - ∫ [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)]
= - [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)]
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The question is -
The numeric components of the electric field in a region of space can be calculated using the equations Ex=6xy and Ey= -5. Which of the following expressions fields the potential difference between the points ~3rY 3x'X 3X'X - 5
What is the perimeter of a rectangle 15x4
Answer:
38
Step-by-step explanation:
perimeter = 2(l+b)
Where l is the length of the rectangle
b is the breadth of the rectangle
P = 2(15+4)
P = 2 × 19
P = 38
A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
Find the product of the sum and difference of two terms: (x + 5)(x - 5)
Answer
x2-25
Step-by-step explanation:
Write the correct equation for the following statement.
The product of x and nine is three
Answer:
x*9 = 3
that's all
=)
Answer:
x*9=3
Step-by-step explanation:
Atleast I think so
Ayudaaaaaa
Porfi
Gracias
The expression representing the perimeter of the polygon is given as follows:
7mn³/3 + 4m² + 3mn².
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
Hence the perimeter for the polygon in this problem is given as follows:
mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².
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The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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make x subject
u= cos 0.5x
By making x the subject of the formula in this equation u = cos(0.5x) gives x = 2cos⁻¹(u).
How to make x the subject of the formula?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.
By taking the arc cosine of both sides of the equation, we have the following:
u = cos(0.5x)
cos⁻¹(u) = 0.5x
By multiplying both sides of the mathematical equation by 2, we have the following:
2 × cos⁻¹(u) = 0.5x × 2
x = 2cos⁻¹(u)
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Answer please thanks
Answer:
4. interphase
5. prophase
6. metaphase
Find the measure of each angle in the following triangle
what is the y- intercept for y=-2 +5
Answer:
(0,5)
Step-by-step explanation:
I'm assuming it's actually y=-2x+5. Anyway, in y=mx+b, b represents the y-int, and because b=5 (based on the placement), we know that the y-intercept is (0,5)
Answer:
no answer
Step-by-step explanation:
there's something wrong with your question, it must have x, and the equation must be in that order:
y=mx+c
What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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3x + 18y = 1 what is the slope intercept form?
Answer:y=-1/6*x-1/18
Step-by-step explanation:answer = y=-1/6*x-1/18
18y=1-3x
y=1/18-3/18x
y=-1/6*x-1/18
What is the scale factor from AABC to ADEF?
B
48
AA
6
A4 CE
48
6
O A.
C
B. 8
32
D
Answer: 8
Step-by-step explanation:
We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.
Eliminate A and D.We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8
The scale factor of dilation of the triangle is k = 8
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔDEF
where the measures of sides of ΔABC are
AB = 6 , BC = 6 and AC = 4
The measure of sides of triangle ΔDEF are
DE = 48 , EF = 48 and DF = 32
The scale factor of dilation k = measure of side DE / measure of side AB
k = 48 / 6
k = 8
Hence , the dilation factor is k =8
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