Two distinct lines, k and m, are perpendicular to the same line n. Select all the true statements
The correct options are;
Lines l and n are perpendicular
Lines m and n are perpendicular
Why are they known as perpendicular lines?
Two lines that meet or cross at right angles (90°) are known as perpendicular lines in geometry.
The word "perpendicular," which refers to a plumb line in English, comes from the Latin "perpendicularis."
Where two lines l an m are said to be perpendicular to a given line n, then we have;
1) When l and m are in different planes,
a) l and m can be parallel lines to each other or
b) l and m can be perpendicular to each other or
c) l and m can be at an angle x, to each other
2) When l and m intersect with the line n at a point p, then, we have;
l and m must be in the same plane with each other.
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The complete question is -
Two distinct lines, l and m, are each perpendicular to the same line n. Select all the true statements. Lines l and m are perpendicular Lines l and n are perpendicular Line m and n are perpendicular Lines l and m are parallel Lines l and n are parallel Line m and n are parallel
M Question 2 Unit 7 Chapter 10 %
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Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each sine or cosine value to its equivalent measure
The equivalent sine and cosine values are as follows:
cos(74°) = sin(16°)cos(57°) = sin(33°)sin(32°) = cos(58°)sin(43°) = cos(47°)What is the relationship between sine and cosine angles?The relationship between sine and cosine angles is:
sinθ = cos(90 - θ)
This equation is known as the complementary angle identity for sine and cosine. It states that the sine of an angle is equal to the cosine of its complementary angle (90 degrees minus the original angle).
For example, if we have an angle theta = 30 degrees, its complementary angle would be 90 - 30 = 60 degrees.
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Help please ...........
Answer:
8/11, 7/9, 4/5, 84% these are the answers to your question
In the figure, <6 and <3 are
Answer:B
Step-by-step explanation
John runs a computer software store. Yesterday he counted 135 people who walked by the store, 58 of whom came into the store. Of the 58, only 21 bought something in the store. (Round your answers to two decimal places.)
Answer:
my name is Thor the answer is false mark me in arsenal
If y=x2? - 5, find f(-4).
A-9
B-21
O
C 11
D -13
y = x²-5
f(x) = x² - 5
f(-4) = (-4)² - 5
f(-4) = 16 - 5
f(-4) = 11
Answer : C.11give me brainliest pls hehe
NO LINKS. Find the segment length indicated. Assume that lines which appear to be tangent are tangent. PLEASE SHOW WORK!!
Answer:
? = 9.2
Step-by-step explanation:
The angle between a tangent and radius at the point of contact is 90°
Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5
Using Pythagoras' identity in the right triangle
?² + 6.9² = 11.5²
?² + 47.61 = 132.25 ( subtract 47.61 from both sides )
?² = 84.64 ( take the square root of both sides )
? = \(\sqrt{84.64}\) = 9.2
Answer:
Solution given:
BC=BD=6.9 units
AD=4.6units
Now
AB=4.6+6.9=11.5units.
we have
<C=90°[the line from the tangent is perpendicular to the radius of circle]
we know that ∆ABC is a right angled triangle.
hypotenuse [h]=AB=11.5units
base[b]=BC=6.9 units
perpendicular [p]=x units
By using Pythagoras law
h²=p² +b²
11.5²=x²+6.9²
x²=11.5²-6.9²
x²=84.64
x=\( \sqrt{86.64} \)=9.2
Sothe segment length indicated is 9.2 units.
Lucky Lauto is a game of chance in which each time you play, you must win or lose. If the P(winning in Lucky Lauto) = 0.008 %, then the t P(losing in Lucky Lauto) = [A] % QUESTION 22 [A] gives the ratio of the number of ways to succeed to the total number of ways that an experiment can happen.
The ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.
In the game of Lucky Lauto, the probability of winning is 0.008%, which means that the probability of losing is 100% - 0.008% = 99.992%. This is the complement of the probability of winning, as the two probabilities must add up to 100%.
The ratio of the number of ways to succeed to the total number of ways that an experiment can happen is given by the probability of success. In this case, the probability of winning is 0.008%, so the ratio of winning to the total number of possible outcomes is 0.008:100, or 1:12500.
Similarly, the ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.
In conclusion, the probability of losing in Lucky Lauto is 99.992%, and the ratio of losing to the total number of possible outcomes is 12499:12500.
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Write the following fraction as percent 7/10
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
let y= x^4 lnx . find dy/dx
the given expression is
y = x^4 lnx
differentiate the above expression with respect to x
\(\frac{dy}{dx}=x^4\times\frac{1}{x}+\ln x\times3x^3\)\(\frac{dy}{dx}=x^3+3x^4\ln x\)You are mailing a package that weighs 5 pounds, and sending it first class. The post office charges $0.44 for the first ounce, and charges $0.20 for each additional ounce. How much is the total cost to mail this package?
Step-by-step explanation:
how to write 2.8591 in words
Answer:
two point eight five nine one
hope its right!
Answer: two and eight thousand five hundred ninety-one ten-thousandths
Step-by-step explanation: I looked it up and this is what it says. Hope this helps
Please branliest if right!
Can someone help me please?
Answer:
Step-by-step explanation:
the dot would either (1,4) or (4,1)
a squared+ b squared= c squared
the length of the sides are 3
3 squared + 3 squared= c squared
9+9 =c squared
18= c squared
square root of 18 rounded to the nearest tenth is 4.2
what type of number is 15/10
Answer:
The number 15/10 is a fraction, specifically a rational number. It can be expressed as the quotient of two integers, where 15 is the numerator and 10 is the denominator. In this case, the fraction is equivalent to 1.5, which is a decimal representation of the rational number.
Step-by-step explanation:
Answer:
Fraction, 15/10 is written out as 15 Over 10
I need help on this for real
Answer:
x < 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Gang ima just take them points tbh
Step-by-step explanation:
in a single power what is the answer to the following:
5 to the power of 3 divided by 5 ?
3 to the power of 6 divided by 3 ?
Answer:
a-25
b-243
5^3 = 125/3 = 25
3^6 = 729/3 = 243
What is the value of the expression below when z = 10 and w = 4?
2z - 3w
Answer:
2(10)-3(4)=20-12=8
the answer is 8.
Step-by-step explanation:
Answer:
2(10) - 3(4) = 8
Step-by-step explanation:
2 * 10 is 20
3 * 4 is 12
so 20 - 12 is 8
What is the surface area of the triangular prism???
I really need an answer to this. My math test is tomorrow and I really need to be prepared!
The surface area of the triangular prism is B. 1,008 \(cm^{2}\)
What is Triangular Prism?Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.
How to determine this
The surface area of the triangular prism = Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.
Area of the front and back triangle will be the the same given the same base and height
To find the area of the triangle = 1/2 * Base * Height
Where base = 12 cm
Height = 9 cm
Area = 1/2 * 12 cm * 9 cm
Area = 6 * 9 \(cm^{2}\)
Area of the one triangle = 54 \(cm^{2}\)
So, by multiplying each sides of the triangle by the length
= Base * Length
= 12 cm * 25 cm
= 300\(cm^{2}\)
Height * Length
= 9 cm * 25 cm
= 225 \(cm^{2}\)
Then, Hypotenuse * Length
= 15 cm * 25 cm
= 375 \(cm^{2}\)
Surface area = 54\(cm^{2}\) + 54\(cm^{2}\) * 300\(cm^{2}\) + 225\(cm^{2}\) + 375\(cm^{2}\)
Surface Area = 1,008\(cm^{2}\)
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PLEASE HELP WITH THIS
Step-by-step explanation:
a. For any function, in order for a vertical stretch to happen, a must be greater than 1 so the answer to a is
a>1.
b. For b, the graph will compress when a is between 0 and 1 but not equal to both.
So the answer to. b is
0<a<1.
c.A vertical stretch happens when a>1, a horinzontal compression also happens when a>1, if you confused let me explain
Consider the graph above. Let say we have a quadratic function
\((x - 3) {}^{2} \)
Let that be the parent function, if we stretch the function, a must be greater than 1 as we established in a.
In the fist picture, let say a=2.7
The function is stretched in the vertical direction
Now, let say if we affect x.
Here, let a=2.7 we know have
The function is being compressed when a>1, so that means that
we stretched vertically or compressed horizontally when a>1. It depends on the location of a. If a is outside the parenthesis, we will stretch by a factor of a. If a is I side the parenthesis, we will compress by a factor of a.
d. A must be negative or a<0
University Bank pays 5% interest compounded quarterly on regular savings accounts and Rosemont
Savings Bank
pays 5.5% compounded semiannually. Vasily and Oxana Cherchenko had $4,000 to invest
for 4 years. Based on the interest to be earned, which bank offers the better investment?
well, the interest is going to be the increase factor on both cases, so we can simply check how much each will accumulate to in those 4 years
\(~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}\)
\(A = 4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4} \implies A=4000(1.0125)^{16}\implies \boxed{A \approx 4879.56} \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases}\)
\(A = 4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4} \implies A=4000(1.0275)^8\implies \boxed{A \approx 4969.52} ~~ \textit{\LARGE \checkmark}\)
You and your classmates create 25 self-portraits to sell at the PTA auction to raise money for your school. In order to pay for the materials you bought to make the self-portraits, you need to sell each of the self-portraits for $2.75. When transporting the self-portraits to the auction, one of your parents accidentally drops four of the self-portraits in the street and they are run over by a Community Transit bus. What is the new minimum price you need to set for the remaining self-portraits in order to pay for the materials?
Let's start with the first part of the problem. There are 25 self-portraits that are planned to be sold at $2.75 each. If that's the case, how much money are they expecting to make (assuming they sell all 25 self-portraits)?
This is:
\(2.75\cdot25=68.75\)Once we have found that, now the task is to find out how they can still make that much money with three of the self-portraits now ruined, and only 21 self-portraits left.
If we need to get $68.75 to pay for the materials and we only have 21 self-portraits to sell, we could divide:
\(\frac{68.75}{21}=3.27\)Therefore, the new minimum price we need to set for the remaining self-portraits in order to pay for the materials is $3.27 approximately.
A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings how many cups of flour are needed to make 20 servings?
Answer:
a = 8
b = 2
c = 48
Step-by-step explanation:
3 cups of flour is needed to make 24 servings.
3:24
Simplify. First, divide 3 from both sides of the ratio.
(3)/3 : (24)/3
1:8
Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1
1 x 2 = b = 2
Finally, multiply 8 to 6 to get c.
8 x 6 = c = 48
~
Please help within 5 minutes!!
Answer:
F
Step-by-step explanation:
The square root of 10 is about equal to 3.16, F is closest to that.
help......................
Where the above relations are given, note that Options A, D, and E are the relations that represents a function. The others are just relations.
How do you identify the relation that represents a function?To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.
Note that where you are given domain and range, only the range is represented on the x-axis.
Some of the x values may be seen repeated in B, and C.
How is this so?
B) In a coordinate system, values are represented as (x, y). so
In relations, B 2 is repeated twice to in connection with -5, and -6. That is:
(2, -5) , (2, -6)
Since two is x, then its repetition nullified the relation as a function.
C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.
As a result, Options A, D, and E are the relations that represent a function.
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If 1200 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
The largest possible volume V is 4000\(cm^3\)
Given,
Volume of a box = length × breadth × height= l× b× h
In this case the box have a square base. i.e., l = b
Volume V = \(l^2\) × h
We using the formula of Surface area
The surface area of a square box
S = 2(lb +lh+ bh)
S = 2(\(l^2\) + lh + lh) since l=b
S = 2(\(l^2\) + 2lh)
Also, Given that the box is open top.
S = \(l^2\) +4lh
And Surface Area of the box is 1200cm^2
1200 = \(l^2\) + 4lh ....1
Making h the subject of formula
h = (1200 - \(l^2\))/4l .....2
Volume is given as
V = \(l^2\) × h
V = \(l^2\) ×(1200 - \(l^2\))/4l
V = (1200l - \(l^3\))/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - \(31^2\))/4
dV/dl = (1200 - \(31^2\))/4 = 0
\(31^2\)= 1200
\(l^2\) = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - \(l^2\))/4l
h = (1200 - \(20^2\))/4×20
h = (800)/80
h = 10cm
Hence, The largest possible volume V is ;
V = \(l^2\) × h
V = \(20^2\) × 10 = 4000\(cm^3\)
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3
2
1
-1
-2
-3
Determine the period.
V
MAN
6 8 10 12 14
2 4
The period of the function in this problem is given as follows:
5 units.
How to obtain the period of the function?A periodic function is a function that has the behavior repeating over intervals in the domain of the function.
Then the period of the function has the concept defined as the difference between two points in which the function has the same behavior.
The distance between peaks of the function in this problem is of 5 units, which represents the period of the function.
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please help!
this is due by tonight
Answer:
6
Step-by-step explanation:
The two triangles are similar which means the the two length is parallel
.°., the Length of the smaller triangle=6
Of the cones recently sold by an ice cream shop, 47 had pistachio ice cream and 51 had other flavors. What is the experimental probability that the next cone sold will have pistachio ice cream?
Answer: 0.48 or 48%.
Explanation: The experimental probability of an event happening is calculated by dividing the number of times the event occurred by the total number of trials.
In this case, the total number of cones sold is 47 (pistachio) + 51 (other flavors) = 98
The number of cones with pistachio ice cream is 47.
So the experimental probability of the next cone sold having pistachio ice cream is 47/98 ≈ 0.48 or 48%
Therefore, the experimental probability that the next cone sold will have pistachio ice cream is about 0.48 or 48%.