Answers
Answer:
12
Step-by-step explanation:
Pythagoras Theorem is clearly used in this question.
To Calculate the Hypotenuse:
C = \(\sqrt{a^2+b^2}\)
The Adjacent angle has already given as 9, so you can factor that into the question.
In Order to calculate the Opposite angle you need to use the following formula.
\(b = \sqrt{c^2-a^2}\)
With the integers we already have for both Hypotenuse and Adjacent factored in this will be your equation:
\(b = \sqrt{15^2-9^2} = 12\)
Therefore you answer is 12, Hope this helps, feel free to make as brainilest.
Related Questions
Solve the equation below by factoring:
Answers
\(\huge\fcolorbox{blue}{aqua}{Answer:}\)
═════════════════════
Answer: =A.\(x = - 3\) \(x = - 4\)
Solution:
\(x ^ { 2 } +7x=-12\)
\(x^{2}+7x+12=0 \)
\(a+b=7 ab=12 \)
\(1,12 2,6 3,4 \)
\(1+12=13 2+6=8 3+4=7 \)
\(a=3 b=4 \)
\(\left(x+3\right)\left(x+4\right) \)
\(x = -3\) , \(x = -4\)
so the answer is = A.════════════════════
Explanation:
#Carry on learning
7 and multiply to 12?
3 and 4
Rewrite the expression using the above.
(x+3)(x+4) = 0
x+3=0 or x+4=0
So x = -3 or x= -4
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
Answers
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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The graph below shows the solution to which system of inequalities?
Answers
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
Answers
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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A family spends 1/3 of its income for the mortgage and 1/6 of its income for food. What proportion of its income remains?
Answers
Answer: 1/2
Step-by-step explanation:
1/3 = 2/6 so 2/6 + 1/6 = 3/6
3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
Since we're dealing with fractions, the total fraction is 1
Mortgage =1/3
Food =1/6
Fraction of income left=x
So we equate everything above to 1
\( \frac{1}{3} + \frac{1}{6} + x = 1\)
\( \frac{1}{3} + \frac{1}{6} + x = 1 \\ lcm = 6 \\ multiply \: each \: term \: by \: 6 \\ 6 \times \frac{1}{3} + 6 \times \frac{1}{6} + 6(x) = 6(1) \)
\( = > 2(1) + 1(1) + 6x = 6 \\ 2 + 1 + 6x = 6 \\ 3 + 6x = 6\)
\(6x = 6 - 3 \\ 6x = 3 \\ x = \frac{3}{6} = \frac{1}{2} \)
Find f(3) given f(x) = -3x3 + 2x2 + 24
Answers
Answer:
-39
Step-by-step explanation:
It takes 12.5g of kool-aid powder to make 5 liters of juice. How many grams of powder will it take to make 20.5 liters of juice? pls answer quick its due in 15 mins
Answers
Answer:
8.2
Step-by-step explanation:
Sorry man, A bit late : l but here it is anyways...
12.5g of kool-aid power can make 5 liters of juice.
20.5g liters of juice can make ? liters of juice.
Think of it as a ratio!
12.5:5 and 20.5:?
what times what equals to what?
12.5/2.5=5 SO, you do 20.5/2.5= 8.2
That's your answer! Hope you get it right!
Answer:
51.25 grams
Step-by-step explanation:
Alright so, in this question you need to figure out what is the amount for 1 liter. We can figure this out by doing 12.5 ÷ 5.
That equals to 2.5 grams. Great, now we have figured out the amount for 1 liter. The next step is pretty self explanatory. We multiple 2.5 grams x 20.5 and that equals to 51.25 grams needed.
Mathamatical explanation:
12.5g ÷ 5L
= 2.5g
2.5g x 20.5L
= 51.25grams
I really hoped this helped you guys.
2)
write place value of 3 in 32,840
Answers
Answer:
The 3 is in the ten thousands place.
3 is 30 thousand
2 is 2 thousand
8 is 8 hundred
4 is 4 tens
0 is 0 ones
Answer:
The 3 is in the hundred-thousands
Step-by-step explanation:
NO LINKS!! Please help me with the Domain and Range and Functions Part 2bb
Answers
Domain - the set of possible x-coordinates of a function.
Range - the set of possible y-coordinates of a function.
Question 25
Domain is:
x ∈ (- 6, 6), both ends excluded as open circles.Range is:
y ∈ [-5, 3), the lowest point is included as part of graph, the highest value is excluded as open circle..This is a function as it passes the vertical line test.
Question 26Domain is:
x ∈ [- 3, 7], both ends included as part of the graph.Range is:
y ∈ [-1, 5], both ends included as part of the graph.This is not a function as it fails the vertical line test.
Answer:
25) Domain: (-6, 6)
Range: [-5, 3)
26) Domain: [-3, 7]
Range: [-1, 5]
Step-by-step explanation:
Definitions
An open circle indicates the value is not included in the interval.A closed circle indicates the value is included in the interval.An arrow shows that the function continues indefinitely in that direction.Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.[ or ] : Use square brackets to indicate that the endpoint is included.The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 25From inspection of the graph, the endpoints of the continuous curve are:
(-6, -3) and (6, 3)As the endpoints are open circles, the values are excluded from the domain and range.
Therefore, the domain in interval notation is:
Domain: (-6, 6)The smallest y-value is y = -5 and the greatest y-value is y = 3.
Therefore, the range in interval notation is:
Range: [-5, 3)Question 26The graph is a conic section (ellipse) and therefore it is not a function.
The smallest x-value is x = -3 and the greatest x-value is x = 7.
The smallest y-value is y = -1 and the greatest y-value is y = 5.
Therefore, the domain and range in interval notation are:
Domain: [-3, 7]Range: [-1, 5]A home decrease in value from $520,000 to $475,000. What is the percent decrease for the house
Answers
Answer:
5467547
Step-by-step explanation:
In the following descriptions of a study, confounding in present. Describe the explanatory and confounding variable in the study and how the confounding may invalidate the conclusions of the study. Furthermore, suggest how you would change the study to eliminate the effect of the confounding variable.
(a)A hospital introduces a new blood clot medication that can be given to the patients suffering from a stroke during the crucial period of 12 hours after stroke begins. The new medication appears to be very successful because in the first year of its implementation there is a higher rate of total recovery by the patients in comparison to the rate in the previous year for patients admitted to the hospital.
(b) A high school mathematics teacher is convinced that a new software program will improve math scores for students take the SAT. As a method of evaluating her theory, she offers the students opportunity to use the soft-ware on the school’s computers during a 1-hour period after school. The teacher concludes the software is effective because the students using the software has significantly higher scores on the SAT than did the students who did not use the software.
Answers
a. The explanatory variable is the new blood clot medication, and the confounding variable is the time period of 12 hours after the stroke begins.
b. The explanatory variable is the new software program, and the confounding variable is the 1-hour period after school
What are the variables?The confounding variable may invalidate the conclusions of the study because it is possible that the higher rate of total recovery is not due to the new medication, but rather due to the fact that the patients are being treated within the crucial 12-hour period after the stroke begins. To eliminate the effect of the confounding variable, the study could be conducted as a randomized controlled trial, where patients are randomly assigned to receive either the new medication or a placebo, and both groups are treated within the 12-hour period after the stroke begins.
In (b) the explanatory variable is the new software program, and the confounding variable is the 1-hour period after school. The confounding variable may invalidate the conclusions of the study because it is possible that the higher scores are not due to the software, but rather due to the fact that the students using the software were given more time to study and practice. To eliminate the effect of the confounding variable, the study could be conducted as a randomized controlled trial, where students are randomly assigned to use the software or not, and both groups are given the same amount of time to study and practice.
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(3x²+7x-4)+(10x²-6x-19)
Answers
Answer:
13x² + x - 23
Step-by-step explanation:
(3x² + 7x - 4) + (10x² - 6x - 19)
=> 3x² + 7x - 4 + 10x² - 6x - 19
=> 3x² + 10x² +7x - 6x - 4 - 19
=> 13x² + x - 23
Find the slope and the y intercept of the graph of the linear equation 6x+4y=24 PLEASE I NEED TO KNOW ASAP
Answers
y = -6x/4 + 24/4
= (-3/2)x + 6
M equals -3/2
The y intercept is when x equals zero. It’s basically asking “when does the function intercept the y axis. When x equals zero, we’ll get a y value in which we pass through. Or you could just remember that b is the y intercept.
b = y-intercept = 6
Solve for X!! I’ll give BRAINLIEST
Answers
Answer:
x = 75
Step-by-step explanation:
1. Find the inner angle (opposite from where x is), using the outer angle of 150.
Note: these two angles are supplementary, meaning that they add up to 180 degrees.
Since the outer angle is 150, the inner angle is 30 degrees because 150+30 = 180.
2. Find the other two angles to get x.
The red markings on the two sides of the triangle indicate that this is an isocoleses triangle. Isocoleses triangles have two congruent angles. This means that the remaining two angles will be the same.
With that in mind, recall what I said about the angles being supplementary. All angles in a triangle add up to 180. So, use the following equation and solve for x.
2x + 30 = 180 (Subtract 30 from both sides)
2x = 150 (divide by 2)
x = 75
3. x = 75
Answer:
X = 65 degrees
Step-by-step explanation:
180 - 150 = 30 the angle beside the 150 degrees
180 - 30 = 130 180 degrees is the sum of all three angles in a triangle
130/2 = 65 since both sides are equal the other 2 angles are the same
SOMEONE HELP I HAVE 60 MINS PLEASE PLEASE PLEASE
Answers
Answer:
g(x) = 3 (x + (-5)) (x + (-9))
Zeros: (5 and 9)
Step-by-step explanation:
3a² -42a +135 = 3 (a² - 14a +45) = 3 (a-5) (a-9)
3 (a-5) (a-9) = 0
a = 5 or a = 9 ..... Zeros
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 91 m long and 68 m wide. What is the length of a training track running around the field? (Use the value 3.14 for I, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
Concept:
To figure out the length of the running track, we will use the following steps below
Step 1:
Calculate the length of the round the two semicircles
\(\begin{gathered} perimeter\text{ of semi circle=}\pi r \\ r=\frac{68m}{2}=34m \end{gathered}\)By substituting the values in the formula above, we will have
\(\begin{gathered} Perimeter\text{ of semicircle=}\pi r \\ Perimeter\text{ of semicircle=3.14}\times34m \\ Perimeter\text{ of semicircle=106.76m} \end{gathered}\)Step 2:
The image below will be used to calculate the length round the training track
Hence,
To calculate the length of the track we will have
\(\begin{gathered} Length\text{ of track=AB+arc BD+DC+arc AC} \\ AB=91m \\ arcBD=106.76m \\ arcAC=106.76m \\ DC=91m \end{gathered}\)By substituting the values, we will have
\(\begin{gathered} \begin{equation*} Length\text{ of track=AB+arc BD+DC+arc AC} \end{equation*} \\ Length\text{ of track=91+106.76+91m+106.76} \\ Length\text{ of track=395.52m} \\ Length\text{ of track=395.52m} \end{gathered}\)Hence,
The final answer = 395.52m
if a car travels at a constant speed of 45km/hr how long will a journey of 270km take?
Answers
Answer:
I think the answer is "6" but I could be wrong.
Find an equation for the line below. (-4,-2) (5,4)
Answers
Answer:
y = 2/3x + 2/3
point-slope form: y - 4 = 2/3x - 10/3
Step-by-step explanation:
1. Find the slope; (change in the y-values)/(change in the x-values)
slope (m) = [4 - (-2)] / [5 - (-4)]
m = 6/9 = 2/3
2. Find "b" by using the slope and one of the given points and substitute into
y = mx + b
4 = 2/3(5) + b
4 = 10/3 + b
4 - 10/3 = b
2/3 = b
y = 2/3x + 2/3
use the point slope form \(y _ -y_{1} = m(x-x_{1} )\) y - 4 = 2/3(x - 5)
y - 4 = 2/3x - 10/3
Maria buys a plant that is 478 inches tall. The plant grows 578 inches.
How tall is the plant now?
934
978
1034
1078
Answers
Answer: 1056 in.
Step-by-step explanation:
It's simple, really. all you have to do is add 478 and 578, since the plant's height is 478, and it grew 578 inches. and 478 + 578 = 1056. so now, the plant is 1056 inches tall. I don't know why the answer is not in your list of answers, but i confirmed that it is 1056 in.
HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:i think its the second one
Step-by-step explanation:
The quantity of a times the quantity of  two times a to the power of 2 plus  The quantity of threea to the power of two times the quantity of 4 a
Answers
the first thing that we will do is operate a
\(undefined\)The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answers
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
what is x if 3x X= 24
Answers
Answer:
x is 8........ correct answer
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
Answers
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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the lengths of the sides of the triangles are given. classify the triangle as acute right or obtuse 4,8,7
Answers
Given any three sides of a triangle a, b, c
where c is the bigges
\(\begin{gathered} if^{\text{ }}a^2+b^2>c^2 \\ \text{then the triangle is acute} \end{gathered}\)\(\begin{gathered} if^{\text{ }}a^2+b^2In this case, c=8, a=4, b=7\(\begin{gathered} a^2+b^2=4^2+7^2=65>64=8^2=c^2 \\ \text{then this triangle is acute} \end{gathered}\)Help me out here pleaseeeeeee
Answers
(almost 100% sure this is correct lol)
HELP URGENT parallel to
2x+3y=9
then (-4,6)
goes
y=mx+b
Answers
2x+3y=9
2x=9-3y
2x/2 = 9-3y/2
X=9-3y/2
Solve for Y
2x+3y=9
3y=9-2x
3y/3 = 9-2x/3
Y=9-2x/3
Y=-2x/3 + 3
Carol uses this graduated tax schedule to determine how much income tax she owes. A 3-column table with 6 rows. Column 1 is labeled If taxable income is over with entries 0 dollars, 7,825 dollars, 31,850 dollars, 64,250 dollars, 97,925 dollars, 174,850 dollars. Column 2 is labeled but not over with entries 7,825 dollars, 31,850 dollars, 64,250 dollars, 97,925 dollars, 174,850 dollars, no limit. Column 3 is labeled the tax is with entries 10 percent of the amount over 0 dollars, 782 dollars and 50 cents plus 15 percent of the amount over 7,825 dollars, 4,386 dollars and 25 cents plus 25 percent of the amount over 31,850 dollars, 12,486 dollars and 25 cents plus 28 percent of the amount over 64,250 dollars, 21,915 dollars and 25 cents plus 33 percent of the amount over 97,925 dollars, 47,300 dollars and 50 cents plus 35 percent of the amount over 174,850 dollars. If Carol’s taxable income is $89,786, how much income tax does she owe, to the nearest dollar? a. $25,140 b. $12,654 c. $19,636 d. $37,626
Answers
Answer:
answer is c) $19,636
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
PLEASE HELP ME IM SO DESPERATE
Answers
Two linear functions with point (1,4) are given by:
y = 2x + 2.y = -2x + 6.The graph with these two functions is given at the end of the answer.
What is a linear function?A linear function, in slope-intercept format, is modeled according to the rule presented below:
y = mx + b
In which the coefficients are described as follows:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).A line with slope of 2 is given by:
y = 2x + b.
Supposing that it goes through point (1,4), when x = 1, y = 4, hence we can find the intercept as follows:
4 = 2 + b
b = 2.
Hence the first equation is:
y = 2x + 2.
A line with slope of -2 is given by:
y = -2x + b.
Then the intercept is found as follows, supposing that it also goes through the point (1,4):
4 = -2 + b
b = 6.
Then the equation is:
y = -2x + 6.
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The following points (-4, 3), (-2, -1), (3, 1) are vertices of a parallelogram, find the coordinates of the THREE POSSIBLE LOCATIONS, of the fourth vertex
Answers
Answer:
A’(5 , -3)
B’(1 , 5)
C’(-9 , 1)
Step-by-step explanation:
Let A be the point of coordinates (-4, 3)
Let B be the point of coordinates (-2, -1)
Let C be the point of coordinates (3, 1)
____
In this case we can form three parallelograms ABA’C, BAB’C , CAC’B
How to find the coordinates of the fourth point A’ of the parallelogram ABA’C
Since we know that the diagonals AA’ and BC of the parallelogram ABA’C intersect in their midpoint then we need to solve these two equations in order to get the coordinates of the point A’ :
\(\begin{aligned}\left\{\begin{array}{l}\frac{x_{A}+x_{A^{\prime}}}{2}=\frac{x_{B}+x_{C}}{2} \\\frac{y_{A}+y_{A^{\prime}}}{2}=\frac{y_{B}+y_{C}}{2}\end{array}\right.& \Leftrightarrow\left\{\begin{array}{l}-4+x_{A^{\prime}}=-2+3 \\3+y_{A^{\prime}}=-1+1\end{array}\right.\\\\& \Leftrightarrow\left\{\begin{array}{l}x_{A^{\prime}}=1+4=5 \\y_{A^{\prime}}=0-3=-3\end{array}\right.\\\\& \Leftrightarrow A^{\prime}(5,-3)\end{aligned}\)
________________________
We can follow the same method for the other two parallelograms In order to get the coordinates of the points B’ and C’.
B’(1 , 5)
C’(-9 , 1)
