Find the exact value of each variable that represents a side length in a right triangle.
Answers
The missing variables are solved in the solution below.
Given that are right triangles, we need to find the value of the missing variables,
In all the given triangle we will use Pythagoras theorem to find the missing lengths,
Pythagoras theorem :-
hypotenuse² = base² + perpendicular²
1) 10² = 8² + h²
h = √10²-8²
h = √36
h = 6
2) 6.5² = 6² + k²
k = √6.5²-6²
k = √6.25
k = 2.5
3) 10² = √10² + n²
n = √100-10
n = 9.48
4) 5² = 2² + m²
m = √25-4
m = 4.58
5) √85² = √68² + p²
p = √85-68
p = 4.12
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Related Questions
The product of (5a-1)^2
Answers
Answer:
25a² - 10a + 1
Step-by-step explanation:
Simplify the expression and you will get the answer as above.
Here is the question
Answers
Answer:
X = 4
UV = 24
Step-by-step explanation:
Opposite sides are equal
5x+4=6x
subtract 5x from both sides
4 = x
then substitute the 4 into 5x+4
5(4) + 4 = 24
-5x -5x
4=1x
x=4
5(4)+4=24
UV= 24
Electronics The output voltage of an amplifier is calculated by multiplying the input voltage by the voltage gain of the amplifier. Calculate the output voltage, in millivolts (mV), for a circuit if the input voltage is 45 mV and the gain is 30.
Answers
The output voltage, in millivolts (mV), for the circuit would be = 1,350 millivolts.
What is an amplifier?An amplifier is defined as the electronic device that can be used to increase the electrical signal of a power source.
The output voltage of an amplifier= input voltage × gains.
Where;
input voltage = 45 mV
The gain = 30
Therefore the output voltage= 45×30 = 1350millivolts.
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What is the perimeter of a triangle with side lengths of 3.5 m, 6.25 m and 9 m? _______ m
Group of answer choices
18.75
9.84
18.00
6.69
Answers
Answer:
18.75 m
Step-by-step explanation:
For the perimeter just add all the sides togheter: 3.5+6.25+9= 18.75m
Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
Answers
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
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For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
I think you need to make an equation. Help Me!
Answers
Answer: h = 7
Step-by-step explanation:
63 = 1/2 * 18 * h
63 = 9 * h
63 = 9h
*Divide 9 on both sides.
7 = h
The selling price, s, of an item is s = c + mc, where c is the cost of the item and m is the percent markup based on cost. What is the formula solved for m?
Answers
Answer:
Step-by-step explanation: m=s-c/c
Solve the system it’s 9th grade work and you have to put one solution no solution or infinite many
Answers
The system of equations has only one solution and is the point (1, 1)
How to solve the system of equations?Here we have the graph of a system of equations, where we can see that both of them are linear equations.
Whenw e have a graph of a system, the solutions are all the points where the graphs of the equations intercept.
On the given graph, we can see that the two lines intersept at the point (1, 1)
So we have only one solution and is the point (1, 1)
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Change 0.12 to a ratio.
Answers
Answer:
3:25
Step-by-step explanation:
The photo shows how it's solved.
Answer: 3:25
Step-by-step explanation:
Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator
0.12 = 0.12/1
Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100
------------ = 12/100
1 x 100
Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)
12 ÷ 4
--------- = 3/25
100 ÷ 4
Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:
3
25 = 3:25
Find the Value of Y.
Answers
The value of y in the triangle is 2√10 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The value of y can be found using the similar triangle ratios as follows:
Hence,
8 / y = y / 5
cross multiply
y² = 8 × 5
y²= 40
square root both sides of the equation
y = √40
Therefore,
y = 2√10 units
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Use the vertical line test to determine whether the relation is a function. If not, identify two points a vertical line
would pass through.
Answers
Answer:
function
Step-by-step explanation:
The verticle line test is basically seeing if it is a function
It is a function when the verticle line touches only one point on the graph at once
For example, if the graph was a circle, and u drew a verticle line through it, it would touch two points on the graph, so it is NOT a function
But for this parabola, if you draw a verticle line at any point, it only touches one point of the graph, so it is a function
A vertical line test is a graphical approach for assessing if a curve in the plane reflects the graph of a function.
The correct option is C, function.
What is a Vertical-line test?The vertical line test is a method used to determine whether a graph represents a function or not. If a vertical line can be drawn on the graph such that it intersects the graph in more than one point, then the graph is not a function.
The graph of the given function, intersect the vertical axis or the y-axis at most one time, therefore, the given graph passes the vertical line test. Thus, it can be concluded that the given graph is a function.
Hence, the correct option is C, function.
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Round 2.261 to the nearest half.
Answers
Answer:
2.0
Step-by-step explanation:
Should be right
Write the equation of the parabola that has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f(x)=a(x-h)²+k.
f(x)=?
Answers
The equation of the parabola as described in the task content is; f (x) = -3 (x - 5)² + 9.
What is the equation of the parabola as described in the task content?It follows from the task content that the equation of the parabola which has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f (x) = a (x-h)² + k be determined.
Recall that the vertex of a quadratic equations of the given form is defined by the coordinates (h, k).
On this note, the required equation of the parabola by substitution of h and k is;
f (x) = -3 (x - 5)² + 9.
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THE RAFFLE QUEEN
1000 raffle tickets are sold for $3.00 each.
There is one grand prize for $750 and two
consolation prizes of $200 each. What is the
expected value of one ticket?
ST
co
W
Answers
Answer:
$1.15
Step-by-step explanation:
750 + 400 = 1,150
1/1000 * 1,150 = 1,150/1000 = $1.15 expected value of one ticket.
Since he paid more than $1.15 for the ticket he has a bad bet.
(2x+6yx)-(12ay+-6y) pls helpp pls
Answers
The required, simplified expression is 2x - 6y(2a - x) + 6y.
To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.
2x - 6y(2a - x) + 6y.
Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:
2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
= 2x - 6y(2a - x) + 6y
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Please help me i need help.
Answers
Answer:
5x+7 > 17 matches with 3.
1+3x > -5 matches with 2.
2x+1 < 3 matches with 1.
5-3x > 11 matches with 4.
Step-by-step explanation:
CAN SOMEONE HELPP WITH THIS QUESTION?✨
Answers
The angle of elevation represented by θ is equal to 1.13186 in radian approximately to 5 decimal place.
How to calculate for the angle of elevation θ in degreeThe angle of elevation is the angle θ between the horizontal line given as 2000 feet and the line of sight which is above the horizontal line.
The angle θ in degree is calculated, and then converted to radian as follows:
since the camera and the rocket is 4255 feet apart, then;
θ = tan⁻¹(4255/2000)
θ = 64.82482°
To convert 64.82482° to radian, we multiply by π/180
θ' = 64.82482° × π/180
θ' = 1.13186 approximately to 5 decimal place.
Therefore, the angle of elevation represented by θ is equal to 1.13186 in radian approximately to 5 decimal place.
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Point C is on line segment BD. Given BD=2x, CD=8, and BC=x determine the numerical length of BD.
Answers
Answer:
BD = 16
Step-by-step explanation:
It is given that, C is on the line segment BD. BD = 2x, CD = 8 and BC = x
We need to find the value of BD.
BD = BC + CD
Putting all the values,
2x = x + 8
taking like terms
x = 8
Put the value of x in BD.
BD = 2(8)
BD = 16
Hence, the length of BD = 16
Consumer complaints are frequently reported to the Better Business Bureau. In one year the industries with the most complaints to the Better Business Bureau were banks; cable and satellite television companies; collection agencies; cellular phone providers; and new car dealerships. The results for a sample of 200 complaints are contained in the DATAfile named BBB.Click on the datafile logo to reference the data.Bank 26, Cable 44, Car 42, Cell 60, Collection 28(a) Show the frequency and percent frequency of complaints by industry.Industry Frequency % Frequency Bank Cable Car Cell Collection Total (b) Which industry had the highest number of complaints?- Select your answer -Banks/Cable and satellite television companies/Collection agencies/Cellular phone(c) Comment on the percentage frequency distribution for complaints.The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Answers
Answer:
Consumers Complaints
a) Frequency and Percent Frequency of Complaints by Industry:
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
b) The Cellular Phone industry has the highest number of complaints.
c) The percentage frequency distribution of complaints shows that many consumers are not satisfied with the services of their cellular phone providers. This highest level of service dissatisfaction is followed by services rendered by Cable and Satellite Television Companies and Car dealers, in that order. Comparatively, less dissatisfaction was showed to Collection and Bank services.
Step-by-step explanation:
a) Data and Calculations:
Bank 26
Cable 44
Car 42
Cell 60
Collection 28
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
Fluency in the conversion of the metric system to the Imperial System is an essential skill in the nursing profession. Think of a situation in which negative effects have occurred due to incorrect dosage calculations? This situation could be a personal experience, the experience of someone you know, or a hypothetical. Explain how this error could have been avoided. How will you ensure that you avoid dosage errors due to metric conversions in your future career as a nurse?
Answers
In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.
~~~Harsha~~~
I need help with this
Answers
Answer:
(-2,-2) (2,0) (4,1) (-4,-4) (0,-1)
Step-by-step explanation:
These are all integer values that satisfy this line and graph (because these points are on the line)
Triangle XYZ is a right triangle with ZQ¯¯¯¯¯⊥XY¯¯¯¯¯¯ . A right triangle with vertices labeled X, Y, and Z. Side Y Z is the base. Angle Z is marked as a right angle. Side X Y contains a midpoint labeled Q. A line segment is drawn through vertex Z to the point Q that bisects angle X Z Y into two parts. Angle X Q Z is marked as a right angle. Side Z X is labeled as a. Side Y Z is labeled as b. Side X Y is labeled as c. Segment X Q is labeled as f. Segment Q Y is labeled as e. Segment Q Z is labeled as d. Drag and drop a correct answer into each box to complete the proof of the Pythagorean theorem. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. By the angle-angle similarity postulate, △YXZ∼△YZQ and △YXZ∼△ZXQ. Since similar triangles have Response area sides, ac=fa and bc=eb . Solving the equation for a² and b² gives a2=cf and b2= Response area. Adding these together gives a2+b2=cf+ce. Factoring out the common segment gives a2+b2=c(f+e). Using Response area gives a2+b2=c(c), which simplifies to a2+b2=c2 .
Answers
The answers are proportional , ce, segment addition postulate if the Triangle XYZ is a right triangle with ZQ XY.
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
Given,
Triangle XYZ is a right triangle with ZQ XY.
proportional
ce
segment addition postulate
You want the words that finish the proof of the Pythagorean theorem.
Similar triangles
The proof makes use of the fact that the right triangles in the figure are all similar, and the fact that similar triangles have proportional sides.
The proportion b/c = e/b can be rearranged to b² = ce.
Then the segment addition theorem is invoked to let you use the fact that f+e = c.
Therefore, The answers are proportional , ce, segment addition postulate if the Triangle XYZ is a right triangle with ZQ XY.
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Please help questions is down below.
Please answer all!
No bots pls!!!!!! Ill give brain thing
Answers
Question 2: 19/24 (not completely sure)
Question 3: 11/21
Write and solve an equation.
A drink and 7 pizzas cost $94.25. The cost of the drink was $1.50. What was the cost, c, of one pizza?
Answers
Answer:
13.25
Step-by-step explanation:
1. you have to subract the cost of the drink:
94.25-1.50=92.75
2.you have to divide to get the individual cost of pizzas by doing
92.75÷7=13.25
so therefore your answer is 13.25 per pizza
which choice correctly expresses the number below in scientific notation?
0.000611
Answers
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
Anything help’s please!!
Answers
The value of x is 6, which can be calculated using triangle proportionality theorem.
What is the Triangle proportionality theorem?A triangle's other two sides are divided in the same ratio if a line drawn parallel to either one of its sides intersects the other two sides at two different spots.The Triangle Proportionality Theorem, often known as the Thales Theorem, was developed by the well-known Greek mathematician Thales.Triangle Proportionality Theorem asserted that the ratio of any two related sides is always the same for any two equiangular triangles.Thales provided the Triangle Proportionality Theorem based on this idea (BPT). Similar triangles have introduced this idea before. The corresponding angles of two triangles are equal if they are identical.From the figure, we have both triangles' corresponding sides proportionate to one another.
so, PR/ PR' = RQ/ RQ'
so, x/10 = 9/15
x = 6
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At the beginning of May. Alice's checking account balance was $752. She wrote checks for $142, $37 and $172. She deposite $40, $80 and $35. What was her balance at the end of the month?
Answers
Answer:
$556
Step-by-step explanation:
$752 - $142 = $610
$610 - $37 = $573
$573 - $172 = $401
$401 + $40 = $441
$441 + $80 = $521
$521 + $35 = $556
Writing checks takes money out so you subtract.
Depositing money means putting in which means you add.
PLEASE CAN SOMEONE HELP ME OUT??
Ellen's classes are 55 minutes each with 10-minute passing periods. If she has 4 classes before lunch break, andthere is no passing period be fore first period or immediately be fore lunch approximately how many hours before lunch do her classes start?
Answers
Answer:
4.17 hours before lunch
Step-by-step explanation:
Ellen has 4 classes before lunch break, which means she has 3 passing periods between those classes. Each passing period is 10 minutes long, so the total time for passing periods is 3 x 10 = 30 minutes.
The duration of each class is 55 minutes, so the total time for 4 classes is 4 x 55 = 220 minutes.
To find the total time Ellen spends in class and passing periods, we need to add the time for the classes and the time for the passing periods:
Total time = time for classes + time for passing periods
= 220 minutes + 30 minutes
= 250 minutes
To convert the time to hours, we can divide by 60:
Total time in hours = 250 minutes ÷ 60
≈ 4.17 hours
Therefore, Ellen's classes start approximately 4.17 hours before lunch break.
I hope this will help you!
Evaluate the function below:
f(x)=-3x-4
f(2) + f(3)
A. -5
B. -23
C. -7
D. 3
E. -13
(You can ignore the Excited, Nervous, etc. apparently my algebra teacher thinks we are preschoolers)
Answers
Answer:
B. -23
Step-by-step explanation:
[-3x(2)-4]- [-3x(3)-4]= -23