36. (1 pt) Solve the following equation for Y (rearrange the formula so that it's equal to Y): F = WD(L-Y) S 37. (3 pts) Find all possible measurements for angle A in the triangle shown here. 186 mi. B 48° 109 mi. A 38. (4 pts) You are designing a rectangular building that is 40' long, 25' wide, and 65' tall. You want to build a model of this building at a scale of 1/2"=1'-0". You need to know how much material to buy to make your model. What will the surface area of your model be? (Include the four sides and the roof, but not the bottom.)
Answers
To solve the equation F = WD(L-Y) S for Y, we can rearrange it as follows:
F = WD(L - Y)S
Divide both sides of the equation by WDS:
F / (WDS) = L - Y
Subtract L from both sides:
F / (WDS) - L = -Y
Multiply both sides by -1 to isolate Y:
Y = -F / (WDS) + L
Therefore, the equation rearranged to solve for Y is Y = -F / (WDS) + L.
In a triangle, the sum of all angles is always 180 degrees. Given the measurements in the triangle, we can determine angle A by subtracting the sum of angles B and C from 180 degrees.
Angle B is given as 48°, so we have:
Angle B + Angle C + Angle A = 180°
48° + Angle C + Angle A = 180°
Angle C is not given, but we can calculate it using the fact that the sum of angles in a triangle is 180 degrees. So we have:
Angle C = 180° - Angle B - Angle A
Angle C = 180° - 48° - Angle A
Angle C = 132° - Angle A
Substituting the value of Angle C into the equation, we get:
48° + (132° - Angle A) + Angle A = 180°
Simplifying the equation, we have:
180° - Angle A = 180° - 48° + Angle A
360° - Angle A = 132° + Angle A
Bringing Angle A terms to one side, we get:
2 * Angle A = 360° - 132°
2 * Angle A = 228°
Angle A = 228° / 2
Angle A = 114°
Therefore, angle A in the triangle is 114 degrees.
The rectangular building has dimensions of 40' (length), 25' (width), and 65' (height). We want to build a model of this building at a scale of 1/2"=1'-0".
To calculate the surface area of the model, we need to determine the surface area of the four sides and the roof. Since the bottom is not included, we will exclude it from our calculations.
The scale of 1/2"=1'-0" means that every half an inch on the model represents 1 foot in the actual building. We need to convert the actual dimensions to the corresponding measurements in the model.
Length of the model = 40' * 2" = 80"
Width of the model = 25' * 2" = 50"
Height of the model = 65' * 2" = 130"
To find the surface area of the model, we calculate the area of each side and the roof and then sum them up.
Side 1: Length * Height = 80" * 130" = 10,400 square inches
Side 2: Width * Height = 50" * 130" = 6,500 square inches
Side 3: Length * Height = 80" * 130" = 10,400 square inches
Side 4: Width * Height = 50" * 130" = 6,500 square inches
Roof: Length * Width = 80" * 50" = 4,000 square inches
Total surface area of the model = Side 1 + Side 2 + Side 3 + Side 4 + Roof
Total surface area = 10,400 + 6,500 +
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Related Questions
By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above
Answers
By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)
This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)
This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).
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Pls help !! Will give brainliest
Answers
Answer:
the first one (25x + 30y is less than or equal to 100)
Step-by-step explanation:
money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1,7) and (9, -3).
Answers
x + y - 6 is equation of slope-intercept form for the perpendicular bisector of the line segment .
What is slope-intercept form explain?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. This form is frequently known as the y = mx + b form.We use formula
\(\frac{y - y_{1} }{y_{2} - y_{1} } = \frac{x - x_{1} }{x_{2} - x_{1} }\)
\(\frac{y - 7 }{- 3 - 7} = \frac{x - (-1)}{9 - (-1)}\)
y - 7/-10 = x+ 1/10
10(y-7) = -10( x + 1 )
10y - 70 = -10x - 10
10x + 10y - 70 + 10 = 0
10x + 10y - 60 = 0
10( x + y - 6 ) = 0
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Help please! Brainliest shall be crowned!
Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is Erika's percent of error?
Answers
Answer:
139.(39)%
Step-by-step explanation:
Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answers
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
I need halp asap!!!!
Answers
For the referenced datasets, locate the dataset in the Wooldridge/ISLR or MASS package and run a simple linear regression model in R and answer the following questions.
A. Locate the data within the package and find the definition of the variables in question.
B. What is the estimated simple regression function i.e. Y = B0 + B1*X
C. Interpret the slope coefficient.
D. Are the coefficients significant
E. What is the R-squared, how much percentage of variance in Y is explained by X.
1. Dataset 401K in Wooldridge, estimate the relationship between prate and mrate.
2. Dataset CEOSAL2 in Wooldridge, estimate the relationship between salary and ceoten.
3. Dataset SLEEP75 in Wooldridge, estimate the relationship between sleep and totwrk.
4. Dataset Boston in MASS, estimate the relationship between medv and lstat
5. Dataset Carseats in MASS, estimate the relationship between Sales and Advertising.
PS: Pay attention of case of the variable.
Choose a submission type
Answers
A. For Dataset 401K in Wooldridge, the data can be found in the "wooldridge" package. The variable in question is "prate" (participation rate) and "mrate" (matching rate).
The definitions of these variables can be obtained from the package documentation or by typing "?401K" in the R console.
B. To estimate the relationship between "prate" and "mrate" using simple linear regression, we can use the formula: mrate = B0 + B1 * prate. The estimated simple regression function would provide the values for the intercept (B0) and the slope coefficient (B1).
C. The slope coefficient in the simple linear regression model represents the change in the dependent variable (mrate) associated with a one-unit change in the independent variable (prate). In this case, the slope coefficient would indicate the change in the matching rate for each unit increase in the participation rate.
D. To determine if the coefficients are significant, we need to check their p-values. If the p-value is below a chosen significance level (e.g., 0.05), we can conclude that the coefficient is statistically significant. This indicates that the coefficient is unlikely to be zero, suggesting a meaningful relationship between the variables.
E. The R-squared (R²) value represents the proportion of variance in the dependent variable (mrate) that is explained by the independent variable (prate). It indicates the goodness of fit of the regression model. The R-squared value ranges from 0 to 1, with a higher value indicating a better fit and a larger percentage of variance explained by the independent variable.
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6^9 divided by (6^3)^2
Answers
Answer:
6^9 over 6^9 is 1
Hope that helps
What is the average rate if change over the domain -1
Answers
I'm sorry, but the domain of a function is usually specified as an interval or range of values, rather than a single point. To calculate the average rate of change of a function over a given domain, we need to know the function itself and the endpoints of the domain.
If you provide me with more details about the function and the domain, I can help you calculate the average rate of change.
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I WILL GIVE BRAINLIEST TO ANYONE THAT ANSWER CORRECLY
Answers
Answer:
hi
Step-by-step explanation:
o ne year ago, gill was five times as old as her horse. one year from now the sum of their ages will be 22. how old is gill now?
Answers
Answer: Gill is 16 now
Step-by-step explanation: If the horse was 3 one year ago, and gill is five times as old as it, shed be 15. one year from now, the horse is 5 and Gill is 17, which combined, is 22. If she is 17 in one year, she is 16 now.
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is ________ .a. urinaryb. bladderc. fissured. supravesical
Answers
The correct option of the given question is option (c) fissure.
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.
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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.
In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.
The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.
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In the figure below, Ray BD bisects angle ABC
Answers
Answer: 65 and 130
Step-by-step explanation:
If the cost price of 10 shirts is equal to the selling price of 8
shirts, then which of the following is true for the transaction?
(a) Profit of 25%
(b) Loss of 25%
(c) Profit of 20%
(d) Loss of 20%
Answers
Answer:
The transaction results in a loss of 20%.
To determine the profit or loss in this transaction, you need to calculate the difference between the cost price and the selling price and express it as a percentage of the cost price. If the cost price of 10 shirts is equal to the selling price of 8 shirts, then the difference between the two is the cost price of 10 shirts - the selling price of 8 shirts = 2 shirts. This means that the cost price of 2 shirts is equal to the difference between the cost price and the selling price.
To express this difference as a percentage of the cost price, you need to divide the difference (2 shirts) by the cost price (10 shirts) and multiply the result by 100%. This gives you 2/10 * 100% = 20%. Since the difference is a negative number (the selling price is less than the cost price), this represents a loss of 20%. Therefore, the correct answer is (d) Loss of 20%.
Answer:
Profit 25%
Step-by-step explanation:
The cost price of 10 shirts = 10
= 10
And the cost price of 8 shirts = 8
The profit earned in selling 8 shirts is,
= Selling price of shirts - Cost price of shirts
= 10 - 8
= 2
The profit percentage of 8 shirts is,
= (Profit earned on 8 shirts/ CP of 8 shirts)
2x/8x times 100
100/4
= 25%
The fifth-grade class donated 3 types of goods to the dog shelter. Their donation consisted of dry dog food 1/5 and cans of wet dog food. What fraction of their total 6/15 donation was dog toys?
Answers
Answer:
0.08
Step-by-step explanation:
T/F. When modeling E(y) with a single qualitative independent variable, the number of 0—1 dummy variables in the model is equal to the number of levels of the qualitative variable.
Answers
True. When modeling E(y) with a single qualitative independent variable, we use 0-1 dummy variables in the model. The number of dummy variables is equal to the number of levels of the qualitative variable minus one.
1. Identify the qualitative independent variable with multiple levels.
2. Determine the number of levels in the qualitative variable. Let's denote this number as "n".
3. Subtract one from the number of levels, resulting in n-1.
4. Create n-1 0-1 dummy variables to represent the different levels of the qualitative variable.
5. Assign a value of 1 to the corresponding dummy variable if the observation belongs to that level and assign a value of 0 to all other dummy variables.
6. Include these dummy variables in the regression model to estimate the effect of each level on the dependent variable.
7. The coefficients associated with the dummy variables represent the difference in the expected value of the dependent variable between each level and the reference level (the level not represented by a dummy variable).
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Solve for m: am/c = n
Answers
Hey there! I'm happy to help!
We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.
am/c=n
We multiply both sides by c.
am=nc
We divide both sides by a.
m=(nc)/a
I hope that this helps! Have a wonderful day! :D
a man builds a house with all 4 sides facing south. a bear walks past the house, what color is the bear
Answers
The color of the bear is White, since the house is directly built on north pole.
It is believed that this house was built directly on the northernmost point of the earth, the North Pole. In this scenario, if all four of his sides of the house face south, it means the house faces the equator. Since the North Pole is in an Arctic region where polar bears are common, any bear that passes in front of your house is likely a polar bear.
Polar bears are known for their distinctive white fur that blends in with their snowy surroundings. This adaptation is crucial for survival in arctic environments that rely on camouflage to hunt and evade predators.
Based on the assumption that the house is built in the North Pole and bears pass in front of it, the bear's color is probably white, matching the appearance of a polar bear.
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How are the properties of exponents used when dividing a polynomial by a monomial?
Answers
Answer:
a couple different obes
Step-by-step explanation:
there are five
You roll a single die numbered from 1 to 6.
What is the probability of rolling an odd
number, expressed as a fraction?
Answers
Answer:
3/6 or 1/2
Step-by-step explanation: 3 odd numbers on a dice with six sides
PLS HELP NEED ASAP The formula d=rt gives the distance traveled for a rate r and an amount of time t. A car travels at a rate of 60 miles per hour for 3 hours. What distance did the car travel? 20 miles 57 miles 63 miles 180 miles
Answers
Distance = rate x time
Distance = 60 x 3
Distance = 180 miles.
Answer:
180m
Step-by-step explanation:
d= distance traveled => ?m
r= rate => 60m/h
t= time => 3h
Formula=> d=r.t
>d= 60 x 3=> d= 180m
So
d= distance traveled => 180m
r= rate => 60m/h
t= time => 3h
Which of the following numbers is a composite number? A. 9 B. 2 C. 29 D. 5
Answers
Answer: A. 9
Step-by-step explanation:
The scatter plot shows the relationship between the number of hours michele cycles on different days and numbers of miles traveled each day. a line of best fit is drawn on the scatter plot. based on the line best fit, which is the best estimate for the number of miles michele would cycle in 2 hours
Answers
As per the concept of average rate of change, the best estimate for the number of miles Michele would cycle in 2 hours is 24 miles
Here we have given the scatter plot shows the relationship between the number of hours Michele cycles on different days and numbers of miles traveled each day.
Then the average rate of change is calculated as,
=> (5 - 2) / (0.50 - 0.25)
=> 3/0.25
=> 12.
Then the best estimate for the number of miles Michele would cycle in 2 hours is calculated as,
=> 2 x 12
=> 24.
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Emilio works for the parks department of West Palm City. He tracked how many emails the
mayor received about the city's parks each day last month. This box plot shows the results.
Emails received
10
20
30
40
50
60
What percent of the time did the mayor receive between 25 and 50 emails?
Answers
Answer:
The answer is 50%.
Step-by-step explanation:
I did the question on IXL, and got it right.
Determine the formula for the compound formed between Sr and P, being sure to indicate on the written portion how you found this formula. Write your formula in the format Sr
x
P
y
and input the subscripts below, being sure to indicate the subscript of 1 if applicable (even though we don't usually write subscripts of 1 , you can't leave a box blank!) x= A y=
Answers
The compound formed between Sr and P is strontium phosphide (Sr₃P₂).
To determine the formula for the compound formed between Sr and P, we need to consider the charges of the ions involved.
Strontium (Sr) is a metal from Group 2 of the periodic table, and it tends to lose two electrons to achieve a stable electron configuration. Therefore, it forms Sr²⁺ ions.
Phosphorus (P) is a nonmetal from Group 15, and it tends to gain three electrons to achieve a stable electron configuration. Therefore, it forms P³⁻ ions.
To form a neutral compound, the total positive charge from the cations should equal the total negative charge from the anions. In this case, the charges need to balance.
Since the charge on the Sr²⁺ ion is 2+ and the charge on the P³⁻ ion is 3-, we need two Sr²⁺ ions to balance the charge of three P³⁻ ions. This gives us the formula Sr₂P₃.
However, we need to simplify the formula to its simplest whole-number ratio. By dividing both subscripts by their greatest common divisor, we obtain the simplest ratio of 1:1.
Therefore, the final formula for the compound formed between Sr and P is Sr₃P₂.
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If a triangle has a base of 7 and a
height of 4, what is its area?
Answers
Answer:
14
Step-by-step explanation:
Answer:
area = a half base times height
1∫2×4×7=14
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which mean of central tendency is most distorted when there are outliers? mode mode median median range range standard deviation standard deviation mean mean
Answers
There are three main measures of central tendency: mean, median, and mode. Each of these measures has its own strengths and weaknesses, and can be affected differently by outliers.
Mean is the most commonly used measure of central tendency, and is calculated by adding all the values in a dataset and dividing by the total number of values. However, when there are outliers in a dataset, the mean can be significantly distorted. This is because outliers, which are extreme values that are far from the other values in a dataset, can skew the mean, making it a less accurate representation of the data than the median or mode.
On the other hand, the median is the middle value of a dataset, and is not affected by outliers as much as the mean. This is because the median is determined by the middle value of a dataset, and does not take into account every individual value.
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n open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. if the original piece of cardboard was 24 inches by 45 inches, what are the dimensions of the box with maximum volume?
Answers
1080 inches² are the dimensions of the box with maximum volume .
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.rectangular box length = 24 inches
width = 45 inches
maximum volume = 24 * 45
= 1080 inches²
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twice the difference of a number and 2 is 9
Answers
The difference of a number and 2: x-2
Twice the difference of a number and 2: 2(x-2)
Is 9.
2(x-2) = 9
2x - 4 = 9
2x = 13
x = 13/2 = 6 1/2
A.) what are the slope and y-intercept for the linear function represented in the table
B.) write the equation in Y=MX+B form
Answers
(-8- -2)/(2-0) = -6/2 = 3
To find the y intercept, plug one of the points in the y=mx+b form and solve for b:
y=mx+b
4=3(-2)+b
4=-6+b
10=b
B) Using what we solved for, the equation would be y=3x+10