2) perpendicular lines form right angles
3) perpendicular lines form right angles
4) all right angles are congruent
5) reflexive property
6) ASA
7) CPCTC
8) ABCD is a rhombus because it is a parallelogram with a pair of consecutive congruent sides
Help needed ASAP
Please answer without rounding if you need to round
Answer:
you dont need to round
Step-by-step explanation:
multiply v and U and then add the other numbers and that should work
Answer:
\(\huge\boxed{\sf r = 37\ mm}\)
Step-by-step explanation:
Let the radius be r
UV is tangent to the circle T which means UV is perpendicular to UT, that makes ΔUVT a right-angled triangle.
Which means:
∠TUV = 90°
So, We can use pythagoras theorem to find the radius of the circle.
In the Δ:
Hypotenuse = r + 9
Base = r
Perpendicular = 12
Pythagoras Theorem:
(Hypotenuse)² = (Base)² + (Perpendicular)²
(6 + r)² = (r)² + (22)²
(6)² + 2(6)(r) + (r)² = r² + 484
36 + 12r + r² = r² + 484
Subtract r² to both sides
36 + 12r = 484
Subtract 36 to both sides
12r = 484 - 36
12r = 448
Divide both sides by 12
r = 448/12
r = 37 mm
\(\rule[225]{225}{2}\)
write the first four terms of each sequence
f(n) = (n - 1)(n - 2)
Evaluate
tan 332°30'
Cos 229°47'
and sec(-38°22')
HELPPP
A researcher was interested in the relationship between a swimmer’s hand length and corresponding time to complete the 100-meter freestyle. The researcher selected a random sample of twenty swimmers from all participants in a swim competition. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle?.
To investigate whether there is convincing evidence, at a 5 percent level of significance,
that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a two-sample t-test.
The independent variable is hand length, and the dependent variable is time to complete the 100-meter freestyle.
The t-test compares the mean time to complete the 100-meter freestyle for swimmers with longer hand lengths to the mean time for swimmers with shorter hand lengths.
The t-test is appropriate because the sample size is small, and the researcher is comparing two groups.
By conducting a two-sample t-test, the researcher can determine whether the observed difference in mean times is statistically significant or due to chance.
learn more about researcher here:brainly.com/question/18723483
#SPJ11
What si the answer of Y = 7x -3 for x
Help
Answer:
\(x=\frac{1}{7}y+\frac{3}{7}\)
Step-by-step explanation:
\(y=7x-3\)
\(7x-3=y\)
\(7x-3+3=y+3\)
\(\frac{7x}{7}= \frac{y+3}{7}\)
\(x=\frac{1}{4}y+\frac{3}{7}\)
how will the z-scores compare if you use your height in inches verses centimeters?
The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.
The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.
Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.
Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
To know more about z-scores, here
https://brainly.com/question/15016913
#SPJ4
Can anyone help please, 10 points for whoever answers.
Slope intercept form for he given equation is \(y=3x+17\).
What is Slope-Intercept form?The line with m as the slope, m and c as the y-intercept is the graph of the linear equation \(y = mx + c\). The values of m and c are real in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, c, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
Slope intercept form:\(y = mx + c\)
Point slope form: \(y-y1=m(x-x1)\)
Given point(-3,8) and slope of 3;
⇒\(y-8=3(x+3);\\y=3x+9+8;\\y=3x+17\)
Slope intercept form for he given equation is \(y=3x+17\).
To refer more about Slope intercept form, visit:
https://brainly.com/question/1884491
#SPJ1
Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest
Answer:
Reindeer runs in 3 hrs = 20×1/4 miles
Reindeer runs in 1 hr = 81/4 × 1/3 = 6 × 3/4 miles (option 2)
A baseball team plays in a stadium that holds 40200 spectators. With the ticket price at $16 the average attendance has been 10400. When the price dropped to $13, the average attendance rose to 22400. Assume that attendance is linearly related to ticket price.
What ticket price would maximize revenue?
The ticket price that maximizes revenue is $6.7
We have the information from the question:
A baseball team plays in a stadium that holds 40200 spectators.
The ticket price at $16
The average attendance is 10400.
The price dropped to $13, the average attendance rose to 22400.
We have to find the :
What ticket price would maximize revenue?
Now, According to the question:
Let x be the ticket price in dollars
Let y be the attendance.
The two points are given :
(16, 10400) and (13, 22400)
Using the point-slope formula, we can find the equation of the line:
y - 10400 = (22400 - 10400)/(13 - 16) × (x - 16)
y - 10400 = 12000/-3 × (x - 16)
y - 10400 = -4000x - 64000
y = -4000x - 64000 + 10400
y = - 4000x - 53,600
Revenue R is equal to the product of price and attendance: R = xy.
Substituting y = -4000x - 53,600 , we get:
R = x(-4000x - 53,600)
\(R = -4000x^2 - 53,600x.\)
We will use x = -b/2a
where a and b are the coefficients from the form \(ax^2 + bx + c\)
x = 53,600/ (-8000)
x = 6.7
Learn more about Linear at:
https://brainly.com/question/31510530
#SPJ4
kodi needs to refill the ink in his pen, so he needs to find its volume. which three-dimensional figure should he use to model the pen?
Step-by-step explanation:
Probably a cylinder would work best
volume of a cylinder = pi r^2 h
which equation has x equals 9 as a solution
4+x=12 2x=20
x+7=26 5x=45
Answer:
5x=45
Step-by-step explanation:
Solve: 4+x=12
~ Subtract 4
~ x = 8
~ (not nine)
-----
Solve: 2x=20
- Divide by 2 (isolate x)
- x = 10
- (not nine)
-----
Solve: x+7=26
~ Subtract 7
~ x = 19
~ (not nine)
-----
Solve: 5x=45
- Divide by 5 (isolate x)
- x = 9
- (Nine! Our answer)
Is y=9 a horizontal line or vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
y = 9 is a horizontal line :)
Step-by-step explanation:
y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .
–3(2y–9)?
a
n
s
w
e
r
Answer:
-6y+27
Step-by-step explanation:
-3*2y=-6y
-3*-9=27
because multiplying 2 negatives make a positive.
so,
-3(2y-9) = -6y+27
find the value of x
The value of x in the given triangle is 1.82 cm using the angle bisector theorem.
What is a triangle?A triangle is a polygon with three edges and three vertices. It belongs to the basic geometric shapes. A triangle with the parts A, B, and C is referred to as triangle ABC. Any three points that are not collinear in Euclidean geometry result in a separate triangle and a distinct plane. A triangle is a type of polygon with three sides; the triangle's apex is the point where the two longest sides meet. Two sides are brought together at an angle.
What is angle bisector theorem?
The ratios of the two segments that a line that bisects the opposing angle splits a triangle's side into are the subject of the angle bisector theorem in mathematics. It contrasts their proportionate lengths with the other two triangle sides' proportional lengths.
In the given triangle,
5/6=x/4-x
20-5x=6x
20=11x
x=20/11= 1.82 cm
To know more about angle bisectors, visit
https://brainly.com/question/30234493
#SPJ1
How do I simplify -11+5+6(-6+13)^2
Answer:
288
Step-by-step explanation:
To simplify use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)
First simply -6 and 13 (since they are in the parenthesis)
-11+5+6(7)^2
Now find out what 7^2 is
-11 + 5 + 6(49)
Next multiply 6 and 49 (294)
Lastly add 5 then subtract 11 from it
299-11
288
Answer:
Hello! :) I hope I am correct!
Step-by-step explanation:
(The answer should be 288)
Below is the steps!!
Steps:
⇒-6+6(-6+13)^2
⇒-6+6(7^2)
⇒-6+(6)(49)
The answer would be 288 if you solve this equation.
The last step:
⇒-6+294
Which equals 288
Therefore your answer would be 288.
Hope this helps!
By:BrainlyAnime! ^-^
(Just in case you didn’t understand, I attached a picture!)
What is the answer to this question just answer the top part only geniuses please
The standard form definition of the linear function y = 1/3x - 5 is given as follows:
x - 3y = 15.
How to write the standard form definition of the linear function?The linear function for this problem is defined as follows:
y = 1/3x - 5
It is given in slope-intercept form, but to write in standard form, we must have the terms with x and y on the same side of the equality, as follows:
x/3 - y = 5.
For standard form, the coefficients must also be integers, hence the entire expression is multiplied by 3, as follows:
x - 3y = 15.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
what is a simpler form for the equation ^4√2401x^12y^16
Simplified form of fourth root of 2401x¹²y¹⁶ is 7x³y⁴
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given,
⁴√2401 x¹² y¹⁶=⁴√7*7*7*7 (x³)⁴(y⁴)⁴
=⁴√(7)⁴ (x³)⁴(y⁴)⁴
=⁴√(7 x³y⁴)⁴
= 7 x³y⁴
Therefore, Simplified form fourth root of 2401x¹²y¹⁶ is 7x³y⁴.
To learn more question related equation click on the link below:
brainly.com/question/10413253
#SPJ1
_____ is the process of drawing conclusions about unknown characteristics of a population from which data were taken.
Answer:
Statistical inference
Step-by-step explanation:
Given that x =6 and Y = -4 evaluate each of the following expressions
2x^2 - y^3
Answer:
136
Step-by-step explanation:
2(6)^2-(-4)^3
2(36)+64
72+64
-Hope it helps :)
Each hour, 7.5 liters drain from a large water tank. The tank initially held 83 liters of water. What does the expression 83−7.5t represent? the number of hours that have passed the number of hours until there are zero liters left the volume of water left after t hours the volume of water drained after t hours
The expression 83−7.5t represent C. the volume of water left after t hours.
How to illustrate the expression?From the information, each hour, 7.5 liters drain from a large water tank and thee tank initially held 83 liters of water.
Therefore, the expression 83−7.5t represent the volume of water left after t hours.
In conclusion, the correct option is C.
Learn more about expressions on
brainly.com/question/22048677
#SPJ1
a yard has a length that is 4 ft more than twice the width. find the dimensions of the yard if the area is 30 sq ft
i will give u brianliest
Answer:
4 remainder of 3
Step-by-step explanation:
19 / 4 = 4 r 3
mary has a collection of nickels and quarters for a total value of $7.30 coins total, how many of each kind are there?
Answer:
There are 29 quarters and 1 nickel. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!
- •Trix•
( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
Answer: 29 Quarters, 1 Nickel.
Step-by-step explanation:
29 Quarters is $7.25 and the nickel added makes its $7.30 (since a nickel is $.05)
1. As a professional engineer, ethical conflicts are frequently encountered. Under such circumstances, how would you react?
When faced with ethical conflicts as an engineer, reflect on the situation, consult guidelines, seek advice, consider legal obligations, explore alternatives, engage in dialogue, document decisions, and seek professional support if needed.
Reflect on the situation:
Take the time to fully understand the ethical conflict at hand and consider its implications on various stakeholders, including public safety, the environment, and professional integrity.
Consult ethical guidelines:Refer to professional codes of ethics and guidelines established by engineering organizations. These documents often provide principles and standards to help engineers navigate ethical dilemmas.
Seek advice and guidance:Discuss the situation with trusted colleagues, mentors, or supervisors who can provide insight and advice based on their experience and knowledge. This external perspective can help you evaluate different options.
Consider legal obligations:Understand the legal framework relevant to your profession and ensure compliance with applicable laws and regulations. This may influence the available choices and potential consequences.
Explore alternative solutions:Look for creative solutions that uphold ethical values and address the conflict. Consider the potential impact of each option on different stakeholders and evaluate the feasibility and consequences of each approach.
Engage in open dialogue:Communicate openly and honestly with all parties involved in the conflict. Engaging in constructive discussions can help find common ground and identify potential compromises.
Document your decision-making process:Maintain a record of the steps you took to address the ethical conflict, including the considerations, discussions, and decisions made. This documentation can be valuable if questions arise later.
Seek professional support:If the conflict seems complex or significant, consider consulting with ethics committees, legal advisors, or other relevant professionals who can provide specialized guidance.
Remember, ethical conflicts can be challenging, and there may not always be a straightforward solution. It's essential to approach such situations with integrity, careful consideration, and a commitment to upholding the highest ethical standards of the engineering profession.
To learn more about ethical conflicts visit:
https://brainly.com/question/28138937
#SPJ11
help meez 40 pts use surface area formula of cylinder that is for Lateral surface area and for total surface area
LSA= 2πrh
TSA= 2πr(h+r)
(b) volume of cylinder= πr^2h
show all work of you get 3 stars and no braily
Answer:So the radius of the cylinder is 2.65 cm.
A cylinder can be defined as a solid figure that is bound by a curved surface and two flat surfaces. The surface area of a cylinder can be found by breaking it down into 2 parts:
1. The two circles that make up the caps of the cylinder.
2. The side of the cylinder, which when "unrolled" is a rectangle.
The area of each end cap can be found from the radius r of the circle, which is given by:
A = πr2
Thus the total area of the caps is 2πr2.
The area of a rectangle is given by:
A = height × width
The width is the height h of the cylinder, and the length is the distance around the end circles, or in other words the perimeter/circumference of the base/top circle and is given by:
P = 2πr
Thus the rectangle's area is rewritten as:
A = 2πr × h
Combining these parts together we will have the total surface area of a cylinder, and the final formula is given by:
A = 2πr2 + 2πrh
where:
π is Pi, approximately 3.142
r is the radius of the cylinder
h height of the cylinder
By factoring 2πr from each term we can simplify the formula to:
A = 2πr(r + h)
The lateral surface area of a cylinder is simply given by: LSA = 2πr × h.
Example 1: Find the surface area of a cylinder with a radius of 4 cm, and a height of 3 cm.
Solution:
SA = 2 × π × r2 + 2 × π × r × h
SA = 2 × 3.14 × 42 + 2 × 3.14 × 4 × 3
SA = 6.28 × 16 + 6.28 × 12
SA = 100.48 + 75.36
SA = 175.84
Surface area = 175.84 cm2
Example 2: Find the surface area of the cylinder with a radius of 5.5cm and height of 10cm.
Solution:
The radius of cylinder = 5.5 cm.
The height of cylinder = 10 cm.
The total surface area of the cylinder is therefore:
TSA = 2πr(r+h)
TSA = 11π (5.5+10)
TSA = 170.5 π
TSA = 535.6 cm2
Example 3: Find the total surface area of a cylindrical tin of radius 17 cm and height 3 cm.
Solution:
Again as in the previous example:
TSA = 2πr(r+h)
TSA = 2π× 17(17+3)
TSA = 2π×17×20
TSA = 2136.56 cm2
Example 4: Find the surface area of the cylinder with radius of 6 cm and height of 9 cm.
Solution:
The radius of cylinder: r = 6 cm
The height of cylinder: h = 9 cm
Total surface area of cylinder is therefore:
TSA = 2πr(r + h)
TSA = 12π (6+9)
TSA = 180 π
TSA = 565.56 cm2
Example 5: Find the radius of cylinder whose lateral surface area is 150 cm2 and its height is 9 cm.
Solution:
Lateral surface area of cylinder is given by:
LSA = 2πrh
Given that:
LSA = 150cm2
h = 9cm
π is the constant and its value = 3.14
Substitute the values in the formula and find the value of r by isolating it from the equation:
LSA = 2πrh
150 = 2× π × r × 9
r = 150 / (2×9× π)
r = 2.65cm
So the radius of the cylinder is 2.65 cm.
The lateral surface area of cylinder is 62.8 square units, total surface area is 87.92 square units and 62.8 cubic units is the volume.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Let us consider the radius of the cylinder is 2 and height of cylinder is 5.
Lateral surface area = 2πrh
Plug in the values of radius and height
=2×3.14×2×5
=62.8 square units.
Total surface area TSA= 2πr(h+r)
=2×3.14×2(5+2)
=2×3.14×2×7
=87.92 square units
Volume of cylinder= πr²h
=3.14×4×5
=62.8 cubic units
Hence, the lateral surface area of cylinder is 62.8 square units, total surface area is 87.92 square units and 62.8 cubic units is the volume.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ7
A particle moves in a straight line and has acceleration given by a(t)=4t−1. Its initial velocity is v(0)=−3 cm/s and it's initial displacement is s(0)=4 cm. Find its position function s(t).
The position function s(t) for a particle with acceleration a(t) = 4t - 1, initial velocity v(0) = -3 cm/s, and initial displacement s(0) = 4 cm is s(t) = t^2 - t + 4t + 4 cm.
To find the position function s(t), we need to integrate the acceleration function a(t) with respect to time twice. Given that a(t) = 4t - 1, we first integrate it once to obtain the velocity function v(t). The integral of 4t - 1 with respect to t is 2t^2 - t + C1, where C1 is a constant of integration. Since the initial velocity is v(0) = -3 cm/s, we can substitute t = 0 and v(0) = -3 into the velocity function to find C1. Solving for C1, we get C1 = -3.
Next, we integrate the velocity function v(t) = 2t^2 - t - 3 with respect to t to find the position function s(t). The integral of 2t^2 - t - 3 with respect to t is (2/3)t^3 - (1/2)t^2 - 3t + C2, where C2 is another constant of integration. Using the initial displacement s(0) = 4 cm, we substitute t = 0 and s(0) = 4 into the position function to find C2. Solving for C2, we get C2 = 4.
Therefore, the position function s(t) for the particle is given by s(t) = (2/3)t^3 - (1/2)t^2 - 3t + 4 cm. This function represents the particle's position at any given time t based on its initial velocity, acceleration, and displacement.
Learn more about displacement here:
https://brainly.com/question/11934397
#SPJ11
The coordinate bridge shows the cost of different numbers of bookmarks how many sense do for bookmarks cost.
Answer:
54 cents
Step-by-step explanation:
The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:
From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points \((x_1,y_1)\ and\ (x_2,y_2)\) is:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\)
From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:
\(y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6\)
The cost of 4 bookmarks (x = 4):
y = 12(4) + 6
y = 54 cents
Devon drove at the same speed for 4 hours. He drove a total of 120 miles,
How many miles did Devon drive in 1 hour?
Answer: 30
Step-by-step explanation:
Devon drove 30 miles in 1 hour because 120/4 is 30
Write the equation of the line that passes through the points (-6,8) and (8,8), Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line,
Find the slope of the graphs
Answer:
graph 5 = 3/5x graph 7 = 3x
Step-by-step explanation: