Answer:
27.63
Step-by-step explanation:
a² = b²+c² - 2bcCos(A)
a² = 11² + 9² - 2 x 11 x 9 x cos(38)
a = BC = 6.78
sin(A)/a = Sin(B)/b
sin(A)/6.78 = Sin(38)/9
sin(A) = Sin(38) x 6.78 / 9
sin(A ) = 0.463
SIn-1(0.463) = 27.63
A rectangular swimming Pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.
Answer:
Let x be the width of the pool. Then the length of the pool is 2x, since it is twice as long as it is wide.
The area of the pool is (2x)(x)=2x^2
The total area of the pool and the walkway is 2x^2+196 square feet.
We can set up the equation using this information:
2x^2 + 22x = 196
Where 22x is the area of the walkway, 22x = 2x * 2 = 4x
2x^2 + 4x = 196
2x^2 + 4x - 196 = 0
Using the quadratic formula to solve the equation above:
x = (-b ± √(b^2 - 4ac))/2a
x = (-4 ± √(4^2 - 42196))/2*2
x = (-4 ± √(16 - 1568))/4
x = (-4 ± √(-1552))/4
Since x is width of the pool, it cannot be a negative value, the x value that is negative must be rejected. Therefore x = (-4 + √1552)/4 = 8
The width of the pool is 8 feet and the length is 2x = 2*8 = 16 feet
Ir-11 2-25
A) rs-14: *
-20 -18
-16 -14 -12
B) rz-14 :
+
-20 -18 -16 -14 -12 -10
C) rs 14:
12
16
18
20
25
D) r2-
11
:
-6
-
-2 0 2
Answer:
what's ir but looks like a calculator will help
u need a little better explanation
Step-by-step explanation:
4(9^0+48(2)^-3)
Please explain how
Answer:
4(9^0+48(2)^-3) I think it's like this
Which of the following is equivalent to 8^(1/3)?
Option 1
Option 2
Option 3
Option 4
(look at photo for answers)
the answer is option 2....
Answer:
Option 2
Step-by-step explanation:
when the power appears as a fraction, take the root of the number based on the denominator of the fraction when numerator is equal to 1
The probability is .80 that a standard normal random variable is between -z and +z. The value of z is approximately:________
The z value for the probability in the standard normal table is 1.29.
In this question,
Z-Score, also known as the standard score, indicates how many standard deviations an entity is, from the mean. A standard normal table (also called the unit normal table or z-score table) is a mathematical table for the values of ϕ, indicating the values of the cumulative distribution function of the normal distribution.
The value of probability is 0.80
A standard normal random variable is between -z and +z, So
P(-z < 0 < z) = 0.80
⇒ 2P(0 < z) = 0.80
⇒ P(0 < z) = \(\frac{0.80}{2}\)
⇒ P(0 < z) = 0.40
From the standard normal table, z value for the probability 0.40 is
⇒ z = 1.29
Thus P(0 < 1.29) = 0.40
Hence we can conclude that the z value for the probability in the standard normal table is 1.29.
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A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the parabola
The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
What is a Parabola ?A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
The equation of the parabola is
(x-2)² = (y+2)
Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
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The average distance a swimmer swims
can be described by the equation
d= 30t, where d is the
horizontal
distance in meters and tis the time
in minutes. Find the distances the
swimmer swims at the times of 7, 10, 14,
and 20 minutes.
Answer:
the distance for 7 minutes is 210m
the distance for 10 minutes is 300m
the distance for 14 minutes is 420m
the distance for 29 minutes is 600m
Step-by-step explanation:
d=30(7)
d=210
d=30(10)
d=300
d=30(14)
d=420
d=30(20)
d=600
which answer is it??
Answer:
6d-3-2d=4d-8+5
6d-4d-2d= -8+5+3
0d/0=0/0
=Infinitive/d=0
3. a) Find the center-radius form of the equation of the circle with
center (-2,5) and radius 3.
b) Graph the circle.
a) The center-radius form of the equation of the circle is
(Type an equation.)
b) Use the graphing tool to graph the circle.
10.
←
10+
8
16
4-
2-
+2
44-
e
-40
The equation of the circle is (x + 2)² + (y - 5)² = 9.
The center-radius form of the equation of the circle is
(x - h)² + (y - k)² = r², where (h, k) represents the coordinates of the center of the circle and r represents the radius.
In this case, the center is (-2, 5) and the radius is 3. Substituting these values into the center-radius form, we get:
(x - (-2))² + (y - 5)² = 3²
Simplifying further:
(x + 2)² + (y - 5)²= 9
So, the center-radius form of the equation of the circle is (x + 2)² + (y - 5)² = 9.
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of the 30 students in the class 12 of them have pets. Using the ratio, how many students would have pets in school with 325 students. pls hurry it is an emergency 40 points.
Answer:
130 students
Step-by-step explanation:
12/30 have pets
12:30
2:5
2/5 × 325= 130
130 students will be the correct answer
The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is the difference of the means?
Answer:
the difference of the mean in the case of mean absolute deviation is 2.5
Step-by-step explanation:
The computation of the difference of the mean is shown below:
Difference is of
= B - A
= 47 - 42
= 5
Now the difference of the mean is
= 5 ÷ 2.5
= 2.5
Hence, the difference of the mean in the case of mean absolute deviation is 2.5
The same would be relevant
if you answer this i will give brainliest
Answer:
Hey can you post this again please
Step-by-step explanation:
It wont let me put in the answer i tried to copie and paste it but it didnt work
Polygon MNOP has coordinates M(3, 7), N(3, 1), 0(4, 6), and P(6, 6). If the
polygon is translated 2 units down, what are the coordinates of M?
Answer:
M' (3 , 5)
Step-by-step explanation:
(3 , 7) ---> 2 unit down --> (3, 7-2) => (3, 5)
find the HCF of 50 and 70 by using euclid s division method
Answer:
This is answer
Photo beja h Dekhna
help!!!!!!!!!!!!!!!!!!!!!!
Answer:
6 ≤x
Step-by-step explanation:
12 + 11/6x ≤ 5+3x
Subtract 11/6x from each side
12 + 11/6x - 11/6x ≤ 5+3x-11/6x
Subtract 5 from each side
12 + 11/6x - 11/6x -5 ≤ 5+3x-11/6x-5
7 ≤ 3x-11/6x
Get a common denominator
7 ≤ 18/6x-11/6x
7 ≤7/6x
Multiply each side by 6/7
6/7 *7 ≤ 6/7 *7/6x
6 ≤x
market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers.
Market classes and grades are used to describe the quality and characteristics of agricultural products, including meat, poultry, fruits, and vegetables. True
They provide a common language for buyers and sellers to communicate about the characteristics, such as the age, sex, fat content, and muscling, of the product. Market classes and grades help ensure that buyers receive products that meet their quality standards and help sellers receive a fair price for their products. For example, beef is graded based on marbling, maturity, and lean color, with the highest grade being USDA Prime, followed by USDA Choice and USDA Select.
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Full Question: market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers. T/F
This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
Market classes and grades refer to the categorization and labeling of carcasses and products based on their quality and characteristics. These classifications use descriptive terminology that is understood by different groups of buyers, such as meat packers, wholesalers, retailers, and consumers. Market classes typically group animals based on their intended use, such as beef cattle for slaughter, while grades are assigned based on factors such as maturity, marbling, and fat content. This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
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For the following system, if you isolated x in the first equation to use the substitution method, what expression would you substitute into the second equation? −x + 2y = −6 3x + y = 8
Answer:
\(x=2y+6\)
Step-by-step explanation:
So we have the system:
\(-x+2y=-6\\3x+y=8\)
If we isolate the x-variable in the first equation:
\(-x+2y=-6\)
Subtract 2y from both sides:
\(-x=-6-2y\)
Divide both sides by -1:
\(x=2y+6\)
Therefore, we would substitute the above into the second equation:
\(3x+y=8\\3(2y+6)+y=8\)
The answer is 2y+6
Further notes:
To solve for the system, distribute:
\(6y+18+y=8\)
Simplify:
\(7y+18=8\)
Subtract:
\(7y=-10\)
Divide:
\(y=-10/7\approx-1.4286\)
Now, substitute this value back into the isolated equation:
\(x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429\)
Step-by-step explanation:
Start by solving the equation for x (☓)
\( - x + 2y = 6 \\ \: \: \: \: \: 3 + y = 8\)
\(x = 6 + 2y\)
Substitute the given value of x for the equation 3 + y = 8\(3(6 + 2y) + y = 8\)
solve the equation for y\(y = - \frac{10}{7} \)
substitute the given value of y into the equation x = 6 + 2\(x = 6 + 2 \times ( - \frac{10}{7} )\)
solve the equation for x\(x = \frac{22}{7} \)
The possible solution of the system is the ordered pair (x,y)\( (\frac{22}{7} . - \frac{10}{7} )\)
The dot (.) in the center is supposed to be a comma but the scientific keyboard does not support a comma\((x.y) \: \: ( \frac{22}{7} . - \frac{10}{7} )\)
This is the solution Marnie out!brian makes an investment in his company’s stock . what does the stock chart say about the stock price today? The down arrow indicates the stock price has decreased from yesterday’s price of $______ at the ______ of the marley day.
Answer:50$ and 2
Step-by-step explanation:
Answer:
The down arrow indicates the stock price has decreased from yesterday’s price of $
66.20
at the
close
of the market day.
your welcome <3
Rewrite the following in form log(C)
log(8)-log(2)
\(\textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \\\\[-0.35em] ~\dotfill\\\\ \log(8)-\log(2)\implies \log\left( \cfrac{8}{2} \right)\implies \log(4)\)
please help quick!!!!!!!!!
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is choice D. I always remember it by the bigger number is the one that is going to get divided but that doesn't always work out, but in this case it does.
I attached a couple math questions I'm stuck could someone please help me?
The shape classification is a Quadrilateral and the area of the shape is 30 inch ²
The circumference of the circle is 37. 7 m
The area of the circle is 113. 1 m²
How to find the area ?The shape given is known as a trapezium and the area of a trapezium can be found by the formula :
= ( Side A + Side B ) / 2 x Height
= ( 10 + 5 ) / 2 x 4
= 7. 5 x 4
= 30 inch ²
How to find the circumference and area of a circle ?The circumference of a circle is;
= Pi x Diameter
= 22 / 7 x 12
= 37. 7 m
The area of the circle is:
= Pi x radius ²
= 22/ 7 x 6 x 6
= 113. 1 m²
Note : Radius is half of diameter
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How do you find/calculate the rate of change?
Answer:
The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.
Step-by-step explanation:
Rate of change is an extremely important financial concept because it allows investors to spot security momentum and other trends. For example, security with high momentum, or one that has a positive ROC, normally outperforms the market in the short term. Conversely, a security that has a ROC that falls below its moving average, or one that has a low or negative ROC is likely to decline in value and can be seen as a sell signal to investors.
The rate of change is also a good indicator of market bubbles. Even though momentum is good and traders look for securities with a positive ROC, if a broad-market ETF, index, or mutual fund has a sharp increase in its ROC in the short term, it may be a sign that the market is unsustainable. If the ROC of an index or other broad-market security is over 50%, investors should be wary of a bubble.
Hope this helps!
Brain-List?
You are having a pizza-making party for a number of people. You will need 6 ounces of dough and 4 ounces of sauce for each person at this party. If you used a total of 130 ounces of dough and sauce all together,
How many ounces of dough did you buy?
Find the maximum rate of change of f at the given point and the direction in which it occurs. maximum rate of change direction vector f(x, y) = 4 sin(xy), (0, 8)
The maximum rate of change of f at the point (0, 8) is 32, and it occurs in the direction of the gradient vector (0, 32).
To find the maximum rate of change of f at the point (0, 8), we need to calculate the gradient of f at that point.
The gradient of a function of two variables f(x, y) is given by the vector (fx, fy), where fx and fy are the partial derivatives of f with respect to x and y, respectively.
In this case, we have:
fx = 4y cos(xy)
fy = 4x cos(xy)
So the gradient of f at the point (0, 8) is given by the vector:
grad(f)(0, 8) = (0, 32cos(0)) = (0, 32)
The magnitude of the gradient vector is given by:
|grad(f)(0, 8)| = √((0)² + (32)²) = 32
This means that if we move in the direction of the vector (0, 32) from the point (0, 8), we will experience the greatest increase in the value of f.
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The metal bar shown is an alloy of silver and other metals.
7.5 ounces
If the silver accounts for 84% of the bar's weight, what is the weight of the silver?
Enter the correct answer in the box.
Answer:
The weight of the silver in the bar is approximately 6.3 ounces.
Step-by-step explanation:
To find the weight of the silver in the bar, you can multiply the total weight of the bar by the proportion of the bar that is silver. Since the proportion of silver in the bar is 84%, you can express this as a decimal by dividing 84 by 100: 84/100 = 0.84.
Then, you can multiply the total weight of the bar by this decimal to find the weight of the silver:
Weight of silver = total weight of bar * proportion of silver
= 7.5 ounces * 0.84
= 6.3 ounces
write the decimal 0.85 as a percentage
Answer:
0.85 = 85%
Multiply 0.85 by 100 to get 85 percent
The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given by the expression 2x2 + 8x – 9. Which of the following expressions represents the height of the prism? (V = Bh)
8x - 3
3x - 5
5x + 3
42x + 3
The height of the prism is 5x + 3 units.
What is volume?
A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
Given:
The volume of a rectangular prism is given by the expression
10x^3 + 46x^2 – 21x – 27. The area of the base of the prism is given by the expression 2x^2 + 8x – 9.
We have to find the height of prism.
Volume of the rectangular prism = Base × Height
The expression is in the Question be
10x ³ + 46 x² - 21x -27
And the area of the base of the prism is given by the expression
2x² + 8x - 9 .
Put in the formula
10x ³ + 46 x² - 21x -27 = 2x² + 8x - 9 × Height
The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .
put in the formula
(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height
Cancelled 2x² + 8x - 9 on both side.
(5x+3)unit = Height
Hence, the height of the prism is 5x + 3 units.
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On a team, 4 girls and 2 boys scored a total of 28 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 2 boys is 12. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy Each girl scored points.
Answer:
Each girl earned 2 points
Each boy earned 5 points
Step-by-step explanation:
Let x represent the number of points one girl earned
Let y represent the number of points one boy earned
4x + 2y = 28
4x - 2y = 12
8y = 40
y = 5 points
4x + (2)(5) = 28
4x + 20 = 28
4x = 8
x = 2 points
Each girl earned 2 points
Each boy earned 5 points
What is 237 rounded to the nearest ten
Answer:
240
Step-by-step explanation:
Answer:
its 240 thats 237 rounded to the nearest 10th
Step-by-step explanation:
How many gallons each of 30% alcohol and 5% alcohol should be mixed to obtain 25gal of 25% alcohol?
Let x be the amount of the 30% alcohol and let y be the amount of 5% alcohol.
We want the total amount to by 25 gal, then we have:
\(x+y=25\)We also want the resulting mix to be 25% alcohol, this is 0.25 in decimal form; also we know that the first type of alcohol is 30% and the second is 5%, then we have:
\(\begin{gathered} 0.3x+0.05y=0.25(25) \\ 0.3x+0.05y=6.25 \end{gathered}\)Hence we have the system of equations:
\(\begin{gathered} x+y=25 \\ 0.3x+0.05y=6.25 \end{gathered}\)To solve the system we solve the first equation for y:
\(y=25-x\)then we plug this value of y in the second equation:
\(\begin{gathered} 0.3x+0.05(25-x)=6.25 \\ 0.3x+1.25-0.05x=6.25 \\ 0.25x=6.25-1.25 \\ 0.25x=5 \\ x=\frac{5}{0.25} \\ x=20 \end{gathered}\)Once we have the value of x we plug it in the expression we found for y:
\(\begin{gathered} y=25-20 \\ y=5 \end{gathered}\)Therefore, the mixture will have 20 gallons of 30% alcohol and 5 gallons of 5% alcohol.