Answers
Answer:
76 ft squared
Step-by-step explanation:
First, you need to find the height of the triangle using the Pythagorean theorem. By adding a line down the middle from point P to the center of line RQ you create a right triangle with 16 as a hypotenuse and a leg with the length 5 (half of the length of line RQ, 10) you can then plug this into the equation to get 5^2+b^2=16^2. Then you get 25+b^2=256, then b^2=231. You then take the square root of both sides to get a height of about 15.2. Now you can find the area of the triangle with the equation A=1/2(bxh). You multiply the base times the height so 10 times 15.2 to get 152, then multiply by 1/2, or divide it by 2, to get 76 feet squared as the area.
Answer:
Length of missing side: 14.7 (rounded to nearest tenth)
Step-by-step explanation:
1/2 * (base) * (height) = area
Memorize this: SOH CAH TOA
sine (degrees) = opposite length/hypotenuse
sin(67 degrees) = x/16
x = 14.7 (rounded to nearest tenth)
x = missing side = 14.7
Related Questions
A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons?
Answers
Answer:
See explanations below
Step-by-step explanation:
In the function
f(x) = x + 30
x represents the volume of coal in cubic yards.
The implicit coefficient of one, i.e. 1x, represents each cubic yard of coal weighs one ton.
The 30 represents the weight in tons of the empty coal car.
Thus when the weight of the coal car is only 26 tons, we replace 30 by 26 to get a new function
f(x) = x + 26.
Find the volume of this using this formula: v=LWH
Answers
Answer:
1200
Step-by-step explanation:
Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the number of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
Answers
2/3 = 12/x. Cross multiply the proportion.
2x = 36. Solve for x.
x = 18.
ASAP FUNCTIONS HELP ASAP
Answers
Answer: B
Step-by-step explanation:
The range of a function is every valid y value, in this case represented by B
Expand (x +2) (9 - x)
Answers
Answer:
-x²+7x+18
Step-by-step explanation:
(x+2) (9-x).
x(9-x)+2(9-x)
9x-x²+ 18-2x
9x-2x-x²+18
7x-x²+18
-x²+7x+18
Answer:
x^2-7x-18
Step-by-step explanation:
Verified Khan Academy Answer
Mark, Paul and Brian share some sweets in the ratio 3:4:2. Mark gets 27 sweets. How many sweets are there altogether.
Answers
Answer:
Hello!
~~~~~~~~~~~~~~~~~
Your answer would be x = 81
Step-by-step explanation:
given ratio = 3:4:2
sum of the terms of the ratio = 3+4+2=9
no. of sweets mark got = 27
3/9 × x =27
x = 81
no.of sweets paul got = 4/9 × 81 = 36
no. of sweets brian got = 2/9 ×81 = 18
total number of sweets = 81
So your answer would be x = 81
Hope this helped you!
Answer:81 sweets
Step-by-step explanation:
Total ratio = 3+4+2 =9
Therefore if 3=27
9=27*9/3=81 total sweets
Round 21,253 to the nearest hundred.
Answers
Answer:
Hey there! The answer to your question is 21,300
Step-by-step explanation:
If we look at the 253 it is most close to 300 not 200 so the answer will be 21,300
Hope that helps!
By: xBrainly
The perimeter of the rectangle above is:
Answers
Answer:
A. 8x² + 2y²
Step-by-step explanation:
There is a formula for the perimeter.
2l + 2w
2(4x²) + 2(y²)
8x² + 2y²
The perimeter of the rectangle is 8x² + 2y².
C is opposite___?
Help pls
Answers
Answer:
Hey there!
Angle C is opposite to side AB, because it is opening towards that line segment.
Let me know if this helps :)
which name best describes the group of shapes below????
Answers
Answer:
parallelograms
Step-by-step explanation:
It's all about diagonals
Explanation: The sides are parallel to the sides that they are facing. Brainliest Answe and Thanks mean a lot!
Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. Group of answer choices
Answers
Answer:
0.5686
Step-by-step explanation:
The alternative hypothesis would be p ≠ 0.11. Thus, this is a two tailed test.
We are given;
p = 0.11
p^ = 8/88 = 1/11 = 0.0909
n = 88
Formula for the Test Statistic is given by;
z = (p^ - p)/(√(p(1-p)/n))
z = (0.0909 - 0.11)/(√(0.11(1 - 0.11)/88))
z = - 0.572642
z ≈ -0.57
Now, from the z-table to find the P-value at z = -0.57 is; 0.2843
Since this is a two tailed test, we have to multiply the P-value by 2 to get the total P-value.
Thus, P-value = 2 × 0.2843 = 0.5686
What is the slope of the line with equation y−3=-1/2(x−2)?
Answers
Answer:
m = -1/2
Step-by-step explanation:
y= m+b
y = -3 = -1/2 (x-2)
y = -1/2(x-2)+3
y = -1/2x-2x(-1/2)+3
y = -1/2+1+3
y = -1/2+4
Hence, the slope is -1/2
Dina is x years old. In thirteen years, she will be twenty-four years old. Write it as a mathematical statement.
Answers
Answer:
x + 13 = 24.
Step-by-step explanation:
Dina is currently x years old. Plus 13 years, she will be 24. So, we have x + 13 = 24.
x = 11.
Hope this helps!
Answer:
x + 13 = 24
Step-by-step explanation:
Since Dina is x age, we can add in x in the formula. In 13 years, she will be 24, so the total is 24 years old.
So if Dina is x and in 13 years she will be 24, the equation would be x + 13 = 24.
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good
support for whether her claim is true or false?
O Her claim is true and she should use these data sets to provide support.
0
1 2
3 4
5 6
7 8 9 10 11
+
+
+
+
+
+
+
+
0
1
2
3
4
5
6
7
8
9 10 11
O
Her claim is true and she should use these data sets to provide support.
+
6
0
3
+
7
1
4
2
5
+ + +
9 10 11
8
Answers
Complete Question:
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?
A. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
B. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. A line divides the box at 7.
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
D. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 5.5.
Answer:
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
Step-by-step explanation:
The median of a box plot is indicated by the line that divides the rectangular box into 2.
Also, the interquartile range is a measure of variability. And this is indicated or represented on a box plot by the range of the box. That is the difference between one end of the box and the beginning of the other end to our left.
The data set that can be used to show that Madison claim is false is a data set showing 2 box plots with the same median value but different interquartile range.
Therefore, C is the right option. Both data set in the drop box would have a median of 7. The interquartile range of one of the drop box would be = 9-4 = 5, while the other would be = 8-5 = 3.
This shows 2 data set with the same median can have different variability.
Which expression is equivalent to 3n+2(1-4n)?
a) 2-n
b) 2-5n
c) 2+11n
d) 2-11n
Samuel chose A as his answer. Explain why he did that.
Answers
Answer:
3n +2 -8n
2 - 5n
Step-by-step explanation:
Answer:
He only multiplied the 2 to the first term in the parentheses instead of both terms
Step-by-step explanation:
3n+2(1-4n)
Distribute
3n + 2 -8n
Combine like terms
2 -5n
Samuel made the mistake of incompletely distributing
He only multiplied the 2 to the first term in the parentheses instead of both terms
3n+2(1-4n)
3n +2 -4n
2-n
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226. What is the input? What is the output? What are the two points described in the real-world scenario?
Answers
Answer:
What is the input?
✔ the number of months
What is the output?
✔ the balance in the account
What are the two points described in the real-world scenario?
✔ (5, 442) and (13, 226)
Step-by-step explanation:
I took the test and got these correct.
Hope I helped!! :))
Answer:
✔ the number of months
What is the output?
✔ the balance in the account
What are the two points described in the real-world scenario?
✔ (5, 442) and (13, 226)
explanation:
300=x^2+15x what is x?
Answers
Answer:
x = -26.3746, 11.3746
Step-by-step explanation:
Easiest and fastest way to solve for x is to graph x² + 15x - 300 and analyze where the graph crosses the x-axis.
Alternatively, you can use the Quadratic Formula to help solve for x.
Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 please help! Which equation best represents the relationship?
y = 1 over 2x + 11
y = negative 1 over 2x + 11
y = 2x + 10 y = 2x + 11
Answers
Answer:
y = negative 1 over 2x + 11
Step-by-step explanation:
Given the table :
X - - - - Y
2 - - - - 10
4 - - - - 9
6 - - - - 8
8 - - - - 7
The equation can be modeled using the equation of a line or linear equation and obtaining the equation of the best fit
y = mx + c
x and y are the variables
m = slope or gradient of the line
c = intercept
The equation can be obtained by using the linear regression calculator, Inputting the x and y values which yields the equation of the best fit line.
The result obtained from the calculator is:
ŷ = -0.5X + 11
Step-by-step explanation: y = negative 1 over 2x + 11 is the correct answer. I took the test. Have a good day! :D
Trapezoid ABCD is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. What is the location of point A after the transformations are complete?
Answers
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).
The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).
the location of point A after the transformations are complete is (-5, 1)
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Which is equivalent to sqrt(450b^9) after it has been simplified completely?
Answers
Step-by-step explanation:
[tex]\sqrt{450b^9}[/tex] [tex]\sqrt{450}[/tex] ×[tex]\sqrt{b^9}[/tex] 15[tex]\sqrt{2}[/tex] × b^(9*0.5)15[tex]\sqrt{2}[/tex] × b^(9/2) 15[tex]\sqrt{2}[/tex] × [tex]\sqrt[2]{b^9}[/tex] 15[tex]\sqrt{2\sqrt{b^9} }[/tex]The simplified expression is 6[tex]b^4[/tex]√(12,.5b)
We have,
[tex]\sqrt{450b^9}[/tex]
This can be simplified as,
√450 x [tex]\sqrt{b^9}[/tex]
Finding the perfect square values.
= √(9 x 50) x √(b x [tex]b^8[/tex])
=√(3² x 50) x √b x √([tex]b^4[/tex])²
Square root cancel with perfect square values.
= 3 x √50 x √b x [tex]b^4[/tex]
= 3 x √(4 x 12.5) x √b x [tex]b^4[/tex]
= 3 x 2 x √12.4 x √b x [tex]b^4[/tex]
= 6[tex]b^4[/tex]√(12,.5b)
Thus,
The simplified expression is 6[tex]b^4[/tex]√(12,.5b)
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
please help me solve
Answers
Answer:
C. w² + 3w - 88 = 0
Step-by-step explanation:
Area of a Rectangle: A = lw
We need to figure out what l and w are:
l = w + 3
w = w
So now we know our 2 variables, we plug it into the area formula:
88 = w(w + 3)
88 = w² + 3w
The only way to find w is using quadratic formula or factoring:
w² + 3w - 88 = 0
Answer:
w^2 +3w -88=0
Step-by-step explanation:
l = w+3
w = width
A = l*w
A = (w+3) *w
Distribute
A = w^2 +3w
We know the area is 88
88 = w^2 +3w
Subtract 88 from each side
0 = w^2 +3w -88
Consider U = {xlx is a real number}.
A = {xlx € U and x + 2 > 10}
B = {x\x € U and 2x > 10}
Which pair of statements is true?
5 & A; 5 € B
6 € A; 6 & B
8 € A; 8 € B
9 € A; 9&B
Answers
please help ! what’s the correct answer ??
Answers
_________________
EXPLANATION:
{DISCLAIMER: sorry i don’t know where the greater/less than or equal to sign is so imagine it’s there haha)
-8x + 14 (is greater than or equal to)60 OR -4x < 8
conduct problems like these as you would any other problem! :)
on the first side, subtract 14 from both sides so: -8x (is greater than or equal to) 46
divide by -8 on both sides
remember when dividing by a negative with problems involving greater/ less than signs, the sign will flip. so in this case, because we are dividing by a -8, the great than or equal to sign flips around and becomes a less than or equal to sign
so x (is less than or equal to) -46/8
simplify your fraction, and x (is less than or equal to) -23/4
_________________
on the other side: -4x+50 <58
subtract 50 from both sides so: -4x < 8
divide by -4 on both sides so: x > -2
(remember our rule that if we divide by a negative when a sign is present the sign flips)
and there’s your answer!! hope this helps you out:D
What is the area of the triangle in the diagram?
Answers
Answer:
I think the answer is B. Let me know if im right
Step-by-step explanation:
l*w*1/2 is the same as 1/2*y*(x2-x1)
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we must use vectors :
vector1 (x1-0,y1-0)⇒ vector1(x1,y1)vector2 (x2-0,y1-0)⇒vector(x2,y1)Now to calculte the area of this triangle we must apply this relation :
A= (1/2)*║x1y1-x2y2║
x2≥x1 so ⇒ A=(1/2)*(x2y1-x1y1)A= (1/2)*y1*(x2-x1)Sorry about the screen, I’m using my laptop! Please help me if you know the answer my dumb mind can’t work it out
Answers
Answer:
5.9 hours, 10£
Step-by-step explanation:
For the first question, you must find how long it would take 1 knitter to do all the work, and you can move on from there. Since it takes 11 knitters 7 hours, it would take 1 knitter 11 times as long, meaning it would take 7*11=77 hours for 1 knitter. Now we can divide 77 hours by 13 as 13 knitters could to it in 1/13 of the time. Dividing 77 by 13 we get 5.9 hours.
For the second question, if each person pays 9£, and there are 10 people, in total they are paying 10*9£=90£. This means that if the spit it up between 9 people instead, each would by 90£/9=10£. This means they would each have to pay 10£.
I NEED HELP ASAP PLEASE, A woodworker makes wooden checkerboards. Her profit is a function of the price
she charges. This graph shows her total profits, y, based on the sales price, x, of
each checkerboard.
Identify any zeros of the function, and interpret what the zeros mean in terms of
the situation.
A. Zero: x = 42.5. This is the selling price that will give her the greatest
profit.
B. Zeros: x = 20 and x = 65. These are the prices at which she makes the
least and greatest amounts of profit.
C. Zeros: x = 20 and x = 65. These are the prices at which she neither
makes nor loses money.
D. Zero: y = 1012.5. This is the maximum amount of profit she can make.
Answers
Answer:
Option (C)
Step-by-step explanation:
The given graph represents the relation between her profit and the price charged.
x-intercepts from the graph are at,
x = 20 and x = 65, which show the selling prices.
x-intercepts means y = 0
And y = 0 represents no profit no loss.
When we summarize these data,
zeros : x = 20 and x = 65
These are the selling prices that will give her neither profit nor loss.
Therefore, Option (C) will be the answer.
Answer:
its c
Step-by-step explanation:
ap3x verified
HELPPPP Cos x cosy = 1/2(sin (x+y)+ sin (x-y)) true or false
Answers
Answer:
Step-by-step explanation:
REcall that sin(a+b) = sin(a)cos(b)+cos(a)sin(b). Then
sin(a+b)+sin(a-b) = sin(a)cos(b)+cos(a)sin(b) + sin(a)cos(b) -cos(a)sin(b) = 2sin(a)cos(b). Then
sin(a)cos(b) = (1/2)(sin(a+b)+sin(a-b))
So it is false
A company has budgeted 5 1/4 hours to complete a project, with 1/3 of the time spent on research. How much time does the company plan to spend on research? Express your answer as a mixed number.
Answers
Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.
First, convert the budget from hours into minutes.
5 1/4 hours = 315 minutes
1 hour = 60 min
1/4 hour = 15 min
60 x 5 = 300
300 + 15 = 315
Then, divide the minutes by 3 or multiply it by 1/3.
315 / 3 = 105
315 x 1/3 = 105
Lastly convert to a mixed number.
1 3/4 hour
Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.
Recall that we identified x, x − 1, and x + 2 as three factors of p(x) = x4 − 4x3 − 7x2 + 10x by using the remainder theorem to inspect a set of expressions. We were unable to identify the fourth factor. Now that you’re familiar with synthetic division, write the process you would use to find the fourth factor of p(x).
Answers
Answer:
(x-5) is the fourth factor
Step-by-step explanation:
See the attached file
53: PLEASE HELP Does -x+4y=-5 represents a direct variation?
Answers
Answer:
No, it does not.
Step-by-step explanation:
Immediately from the given equation, we can see that it has a constant (-5).
Direct variation equations are in the form y=kx, where k is an coefficient. There are no constants in direct variations.