Answer:
180
Step-by-step explanation:
C + D = 180 degrees since they are a linear pair
D = 127 degrees, so
C + 127 = 180
to get the C, you need to subtract 180 degrees bt 127 degrees
180 - 127 = C
help meeeee pleaseeeee
Answer:
it's either the 1st one or the 2nd one
Step-by-step explanation:
Answer:
a. or c. I'm not sure to my answer
Charlie and Hayden are standing outside. Charlie is 64 inches tall and casts a shadow of 30 inches. If Hayden is 68 inches tall, approximately how long is his shadow? 28 inches 32 inches 145 inches 31 inches
The length of the shadow of Hayden is approximately 32 inches.
How to find the length of Hayden shadow?Charlie and Hayden are standing outside. Charlie is 64 inches tall and casts a shadow of 30 inches.
Hayden is 68 inches tall. The length of the shadow of Hayden can be calculated as follows:
Using proportion,
64 / 30 = 68 / x
where
x = length of the shadow of Hayden
Therefore,
64 / 30 = 68 / x
cross multiply
64x = 68 × 30
64x = 2040
divide both sides by 64
x = 2040 / 64
x = 31.875
Hence,
Length of the shadow of Hayden = 32 inches
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solve for x (interior and exterior angles)
Answer:
-11
Step-by-step explanation:
*The sum of all three angles of a triangle is 180*
So,
80+60
140 + (x + 51) = 180
-140 -140
x + 51 = 40
- 51 - 51
x = - 11
HOPE this helped
The box at the right is a cube with edges that measure 2 feet. The sides of the triangle inside the cube are a diagonal of a face, an edge, and a segment with endpoints at opposite corners of the cube. The triangle is a right triangle with leg lengths 2 and
\( \sqrt{ {2}^{3} } \)
. Write the area of the triangle as the number 2 with a rational exponent.
Answer:
\(Area = 2 \sqrt{2}\)
Step-by-step explanation:
Given
\(Length_1 = 2\)
\(Length_2 = \sqrt{2^3}\)
Required
Determine the area of the triangle
The given lengths represent the height and base length of the triangle.
So, the area is;
\(Area = \frac{1}{2} * Length_1 * Length_2\)
Substitute values for Length1 and Length2
\(Area = \frac{1}{2} * 2 * \sqrt{2^3}\)
\(Area = \frac{2}{2} * \sqrt{2^3}\)
\(Area = 1* \sqrt{2^3}\)
\(Area = \sqrt{2^3}\)
Express 2^3 as 2 * 2 * 2
\(Area = \sqrt{2*2*2}\)
\(Area = \sqrt{4*2}\)
Split
\(Area = \sqrt{4} *\sqrt{2}\)
\(Area = 2 *\sqrt{2}\)
\(Area = 2 \sqrt{2}\)
identify the correct equation that describe the relationship between a sine and cosine wave. quizlet
The correct equation that describes the relationship between a sine and cosine wave is given by the trigonometric identity:
\(\[\sin^2(x) + \cos^2(x) = 1\]\)
What is the fundamental relationship between sine and cosine waves?In mathematics, sine (sin) and cosine (cos) are trigonometric functions that represent the ratios between the sides of a right triangle.
The relationship between these two functions is described by the fundamental trigonometric identity, known as the Pythagorean identity. The Pythagorean identity states that the square of the sine of an angle plus the square of the cosine of the same angle is always equal to 1.
The equation \(\sin^2(x) + \cos^2(x) = 1\) demonstrates this relationship. It states that if you square the value of the sine of an angle and add it to the square of the cosine of the same angle, the result will always be equal to 1. This equation holds true for any angle.
This relationship is significant because it allows us to relate the values of sine and cosine waves. As a result, we can express one trigonometric function in terms of the other. For example, if we know the value of the sine of an angle, we can determine the value of the cosine using the Pythagorean identity, and vice versa.
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hello can you help me with this?
Answer:
x = 25.5
Step-by-step explanation:
suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees
2x + x + x 78 = 180 add like terms then subtract 78 from both sides
4x = 102 divide both sides by 4
x = 25.5
y=5x-9
y=5x+9
solve with substitution
Answer:
No solution
Step-by-step explanation:
y=5x-9
y=5x+9
5x + 9 = 5x - 9
- 9 - 9
5x = 5x - 18
- 5x - 5x
0 = 18
No solution
Hope this helps!
A stack of one dozen cookies of diameter
5 in. exactly fits in a cylindrical container of
volume 179.715 in.3. Which is the thickness of
each cookie?
Answer:
.763 in for each cookie
Step-by-step explanation:
\(179.715 =\pi (2.5)^{2} h\\179.715= \pi (6.25)h\\179.715=19.635h\\h=9.153\\\)
After you solve for the height you would divide it by 12 to get the thickness of one cookie which is .763 in.
what are the different types of geometric constraints that are applied to sketches, and what are their functions?
Questions are in photo
Answer:
29 km < n < 43 km
Step-by-step explanation:
7,36,x
7+n>36 n>29
7+36>x 43>n
36+x>7 n>-29 don't use
29<n<43 29 km < n < 43 km
Where does the equations 30 + 5x and 50 + 2x equal the same number?
Answer:
It equals to the same number when X is equal to 10.
Step-by-step explanation:
Find the point of intersection of the given plane and the line that is perpendicular to the given plane and passes through (8, 4, 3).
The point of intersection between the given plane and the line perpendicular to the plane and passing through (8, 4, 3) is (-4, -14, 9).
To find the point of intersection between a plane and a line, we need to know the equation of the plane and the equation of the line.
Given:
Plane equation: ax + by + cz = d
Line equation: P = P₀ + tV
To find the point of intersection, we can substitute the line equation into the plane equation and solve for the parameter 't'.
Let's assume the plane equation is:
2x + 3y - z = 4
And the line equation passing through (8, 4, 3) and perpendicular to the plane can be represented as:
P = (8, 4, 3) + tV
First, we need to find the normal vector of the plane. From the coefficients of x, y, and z in the plane equation, we can determine the normal vector as (2, 3, -1).
Since the line is perpendicular to the plane, the direction vector 'V' of the line will be the same as the normal vector of the plane. Therefore, V = (2, 3, -1).
Substituting the values into the plane equation:
2(8) + 3(4) - 1(3) + t(2) + t(3) + t(-1) = 4
Simplifying the equation:
16 + 12 - 3 + 2t + 3t - t = 4
28 + 4t = 4
4t = -24
t = -6
Now, substitute the value of 't' back into the line equation to find the point of intersection:
P = (8, 4, 3) + (-6)(2, 3, -1)
P = (8, 4, 3) + (-12, -18, 6)
P = (-4, -14, 9)
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how do i find the value of x in -5 = .5x
Answer:
\( - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x\)
Step-by-step explanation:
this is the step
I NEED HELP PLEASE ASAP!
Answer:
make a line with arrows at the end. On the line, make a hash mark and label it -13. on the hash mark, make a filled-in circle and color the number line to the left of the circle, including the arrow.
Step-by-step explanation:
This is how you show it. :)
Find the product of (1.1x + 2.7y) (1.1x - 2.7y)
Step-by-step explanation:
Please refer to the attachment
8. a) The monthly salary of Mr. Maharjan was Rs 7500 before last year and it was increased by 10% last year. Again, it was increased by 20% this year. (i) How much was his salary last year? (ii) How much is he drawing this year? 2010
The last year's salary was Rs 8250 and he is drawing this year Rs 9075.
What is the percentage of a number?
The percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%' known as percentage symbol.
The monthly salary of Mr. Maharjan was Rs 7500 before last year and it was increased by 10% last year.
So, The last year's Salary was 7500 +750 = 8250
Again, it increased by 20% this year.
Then, Drawings of current year = 7500 + 20% of 7500
7500 + 1500 = 9000
8250 + 10% of 8250 = 9075
Drawings of current year = 9075.
Hence, the last year's salary was Rs 8250 and he is drawing this year Rs 9075.
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Find the derivative of the function f(x), below. It may be to your advantage to simplify first. f(x)=x⋅5x
f′(x)=
The derivative of f(x) = x⋅5x is f'(x) = 10x, which means that the rate of change of the function at any point x is 10 times the value of x at that point.
Using the product rule of differentiation, we can find the derivative of the function f(x) = x⋅5x as follows:
f'(x) = (x)'(5x) + x(5x)'
where (x)' and (5x)' are the derivatives of x and 5x with respect to x, respectively.
(x)' = 1 (the derivative of x with respect to x is 1)
(5x)' = 5 (the derivative of 5x with respect to x is 5)
Substituting these values, we get:
f'(x) = 1⋅5x + x⋅5
Simplifying further, we get:
f'(x) = 5x + 5x
Therefore, f'(x) = 10x.
In conclusion, the derivative of f(x) = x⋅5x is f'(x) = 10x, which means that the rate of change of the function at any point x is 10 times the value of x at that point.
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Find the rate of discount for a pair of pants that cost 65$ and are on sell for 39
Answer: 65 - $39 = $26 >> amount you save
26 / 65 = 0.4 = 40% >> discount rate
Step-by-step explanation:
stock x has a beta of 0.7 and stock y has a beta of 1.3. the standard deviation of each stock's returns is 20%. the stocks' returns are independent of each other, i.e., the correlation coefficient, r, between them is zero. portfolio p consists of 50% x and 50% y. given this information, which of the following statements is correct?
Out of the given statements, statements number e) Portfolio P has the same required return as the market (rM) is the correct one
since we are given the information that stock x has a beta of 0.7 and stock y has a beta of 1.3 and the standard deviation of each stock's returns is 20%, and the correlation coefficient(r) between them is zero and at last, the portfolio p consists of 50% x and 50% y .So the beta of the portfolio P will be 0.5 * 0.7 + 0.5 * 1.3 = 1.0 .Now the return on the portfolio will be:
= risk-free rate + beta * (Expected market return - risk-free rate), Substituting the know values, we get,
= risk-free rate + 1 * (Expected market return - risk-free rate)
= Expected market return.
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Sock x has a beta of 0.7 and stock y has a beta of 1.3. the standard deviation of each stock's returns is 20%. the stocks' returns are independent of each other, i.e., the correlation coefficient, r, between them is zero. portfolio p consists of 50% x and 50% y. given this information, which of the following statements is correct?
a)Portfolio P has a standard deviation of 20%.b. The required return on Portfolio P is equal to the market risk premium (rM ? rRF).
c. Portfolio P has a beta of 0.7.
d. Portfolio P has a beta of 1.0 and a required return that is equal to the riskless rate, rRF.
e. Portfolio P has the same required return as the market (rM).
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of the spinner not landing on red.
Red = 8
Blue = 7
Green = 9
Yellow = 6
A. 3/5
B. 11/15
C. 2/5
D. 4/15
Answer:
Probability(Not red) = 11 / 15
Step-by-step explanation:
Given:
Outcomes;
Red = 8
Blue = 7
Green = 9
Yellow = 6
Find:
Probability(Not red)
Computation:
Probability(Not red) = 1 - Probability(red)
Probability(Not red) = 1 - [Number of red/ Total]
Probability(Not red) = 1 - [8/(8+7+9+6)]
Probability(Not red) = 1 - [8/30]
Probability(Not red) = 1 - [4/15]
By taking LCM
Probability(Not red) = (15 - 4) / 15
Probability(Not red) = 11 / 15
What fraction is missing from the following equation?
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
5/6-7/12=3/12
(60-42)/72=18/72
after simplifyingg you will get 3/12
Make p the subject of the formula q - 2p = p + 4
From solving the give question, the formula q-2p = p+4 by making p the subject is -\(= > p = \frac{q}{3} - \frac{4}{3}\)
What is mathematical operation?A value is computed utilizing operands and a math operator as part of the mathematical "operation." In order to be applied to the provided operands or integers, the math operator's symbol has predetermined rules.
to find the value of p from the given formula as -
=> q-2p =p+4
Substracting p from the both side
\(= > q-2p-p = p-p+4\\= > q-3p = 4\)
Substracting q from the both side
\(= > q-q-3p=4-q\\= > -3p = 4-q\\3p=q-4\)
Diving both side 3,
\(= > p = \frac{q}{3} - \frac{4}{3}\)
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The table represents the heights and weights of the starting offensive players for a high school varsity football team. what conclusion drawn from the data best describes the correlation between height and weight for the team?
The conclusion drawn from the data best describes a positive correlation between height and weight for the team.
The table represents the heights and weights of the starting offensive players for a high school varsity football team. The question is asking for the conclusion that best describes the correlation between height and weight for the team.
To determine the correlation between height and weight, we can look at the data in the table and see if there is a pattern or trend. We can do this by creating a scatter plot of the data points, with height on the x-axis and weight on the y-axis.
After analyzing the scatter plot, we can draw the conclusion that there is a positive correlation between height and weight for the team. This means that as height increases, weight tends to increase as well. The data points on the scatter plot should show a general upward trend.
In summary, the conclusion drawn from the data best describes a positive correlation between height and weight for the team.
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The correlation between height and weight for the high school varsity football team can be described as positive, no correlation, or weak correlation based on the observations. Correlation only describes the relationship between the variables and does not imply causation or provide an explanation.
Based on the given table representing the heights and weights of the starting offensive players for a high school varsity football team, we can draw the following conclusion regarding the correlation between height and weight for the team:
1. Positive correlation: If we observe that as the heights of the players increase, their weights also tend to increase, then we can conclude that there is a positive correlation between height and weight. This means that taller players generally have higher weights, and vice versa.
2. No correlation: On the other hand, if we notice that there is no clear pattern or relationship between height and weight, with some tall players having low weights and vice versa, then we can conclude that there is no correlation between height and weight for the team.
3. Weak correlation: If there is a weak correlation between height and weight, it means that there is a slight tendency for taller players to have higher weights, but the relationship is not very strong or consistent. In this case, we might observe some tall players with lower weights and some shorter players with higher weights.
Correlation only describes the relationship between two variables, in this case, height and weight. It does not imply causation or explain why the correlation exists.
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The surface area of the triangular prism pictured below is 204 square centimeters. What is the height of the prism?
Answer:
height x=21.5cm
Step-by-step explanation:
Surface area = 2+ area of triangles + area of the 3 rectangles
SA = 204
204 = 4*3 + x*5 + 5*4 + x*3
204 = 12 +20 +8x
204 -12-20 = 8x
172/8 = x
21.5 = x
What is a proportion
Answer:
a part, share, or number considered in comparative relation to a whole.
Example:A rope's length and weight are in proportion. When 20m of rope weighs 1kg, then: 40m of that rope weighs 2kg. 200m of that rope weighs 10kg.
Simply
28 divided by 2 plus 3(8) minus (12-8)
Answer:
34
Step-by-step explanation:
28/2 + 3(8) - (12-8)
14 + 24 - 4
14 + 20
34 is your answer
hope this helps
what is the answer to
−1+8(−3+9)
Answer:42
Step-by-step explanation:
When your the population of the city it was 109,000 several years later it was 95,920 find a percent decrease
Answer:
12%
Step-by-step explanation:
109,000 - 95,920 = 13,080
13,080/109,000 = 0.12
0.12 x 100 = 12
12%
A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?
Answer:
14
Step-by-step explanation:
Find HCF
Year 7: 70 students
7x5x2=70
Year 8: 98 students
7x7x2=98
HCF: 14
The largest team size she can use is 14 students.
Grade 7: 5 teams
Grade 8: 7 teams
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Pls help is it; (1.5, 2) or no solution
Answer:
no solution?
Step-by-step explanation: