in a plane line e is parallel to line f line f is parallel to line g and line h is perpendicular to line e. which of the following must be true?
A. e ll g B. h ll g C.g ll h D. e ll h
Answer:
It's A
Step-by-step explanation:
Line e parallel to line g. Therefore, option A is the correct answer.
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that, in a plane line e is parallel to line f line f is parallel to line g and line h is perpendicular to line e.
Since, e║f, f║g
So, e║g
Therefore, option A is the correct answer.
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The table and graph both represent the same relationship. Which
equation also represents that relationship?
PLEASE someone HELP
Answer:
y=x^2
Step-by-step explanation:
Which graph shape represents the polar curve r = 1 + 4sin(θ)?
a cardioid
a rose curve
a limaçon with an inner loop
a limaçon without an inner loop
Answer:
A cardioid
Step-by-step explanation:
A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.
The equation of vertical cardioid is [tex]r=a[/tex] ± [tex]a\sin \theta[/tex]
Given the polar curve is [tex]r=[/tex] [tex]1+[/tex] 4 [tex]\sin \theta[/tex]
This is an equation of vertical cardioid.
So, it represents a cardioid.
Answer:
C - a limaçon with an inner loop
Step-by-step explanation:
If you have a graphing calculator, use it to plug in the equation.
Based on what you have learned, you will recognize the graph is C
Jeff is standing on top of a tree next to a mysterious monolith (a big rectangular box). At time t = 0, Jeff threw a coconut vertically upwards. It landed on the top of the monolith 3 seconds later. The height of the coconut above the ground after t seconds is
Answer:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
(if the heights are measured in meters)
Step-by-step explanation:
In order to solve this problem we will need to first draw a diagram of the situation (see attached picture) and then, make use of the following physics equation:
[tex]y_{f}=\frac{1}{2}at^{2}+v_{0}t+y_{0}[/tex]
where:
[tex]y_{f}[/tex]=height of the object at a given time t
a=acceleration due to gravity
t=time
[tex]v_{0}[/tex]=initial velocity of the object
[tex]y_{0}[/tex]=initial height of the object.
we know most of this data, except for the height of theh object at the given time t and the initial velocity of theh object. We can make use of the given time to write the velocity in terms of the height of thte tree and the height of the monolith.
So let's substitute the values we know so far:
[tex]h=\frac{1}{2}(-9.81)t^{2}+v_{0}t+h_{tree}[/tex]
the problem tells us that after 3 seconds, the object reaches the height of the monolith, so let's do the substitution:
[tex]h_{monolith}=\frac{1}{2}(-9.81)(3)^{2}+v_{0}(3)+h_{tree}[/tex]
we can now solve this equation for the initial velocity, so we get:
[tex]h_{monolith}-h_{tree}=-44.145+3v_{0}[/tex]
[tex]h_{monolith}-h_{tree}+44.145=3v_{0}[/tex]
so:
[tex]v_{0}=\frac{h_{monolith}-h_{tree}+44.145}{3}[/tex]
and now we can substitute this back into the original formula to get the equation that represents the height of the coconut above the ground after t seconds:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
Please help ASAP thank you
Answer:
Scalene, Acute
Step-by-step explanation:
scalene because the sides are of different length, and acute because it's less than 90°
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
p = x / n
p = 91/110
p = 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= p - Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
ASAP please & thank you
HELP MEH PLEASE TwT I WILL GIVE BRAINLIEST TO FIRST PERSON WITH
RIGHT ANSWER
Answer:
a
Step-by-step explanation:
because its parallel while d is perpendicular and b and c are diagonal
Help me plzzzz!!!!!
What is the volurne of the figure? Enter the answer in the box.
Cubic feet
Answer:
2700ft cubed
Step-by-step explanation:
What is the value of x?
Answer:
5
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c² plug in the info you have
a²+12²=13² (c is always the side opposite from the right angle)
Solve for a
a²+144=169
-144 -144
a²=25 take the square root of both sides
√a²=√25
a=5
2c = 14 equals what?
Answer:
7
Step-by-step explanation:
2c/2 = 14/2
c = 7
What is 3/7 divided by 15?
Answer: Your answer is 1/35 or 35
Step-by-step explanation:
A package of 12
pens costs $3.84.
What is the cost
per pen?
An
IT WOULD BE 50 CENTS PER PEN
Step-by-step explanation:
for an arithmetic sequence, given Sn=690,a1=19, an=96 find the value of n help pleaseeeee
Answer:
will u b my frend
Step-by-step explanation:
Joshua was offered a job that paid a salary of $77500 in its first year . The salary was set to increase by 2% per year every year. If Joshua worked at the job for 5 years what was the total amount of money earned over the five years . to the nearest whole number
i think you have to use the sum of finite geometric series
a1=77,500
n=5
idk what im doing plz help
Answer:
I didnt get what you mean maybe try to explian it another way
Step-by-step explanation:
A certain brand of tea costs $7.99 for 16.2 ounces.
What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$
per ounce
Answer:
49 cents per ounce
Step-by-step explanation:
24 is what precent of 30 ?
Answer:
80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
This can be written algebraically as 24 = x of 30, where we have to find what percent of 30 is equal to 24. Of is the same as multiplication: 24 = x · 30 Then, solve for x. The answer is x = 0.8 and 0.8 as a percent is 80%.
Hope this helped! :)
5 x 10^8 - 3.4 x 10^8 =
In Scientific notation PLS HELP
Answer:
[tex] 1.6 \times 10^8[/tex]
Step-by-step explanation:
[tex]5 \times 10^8 - 3.4 \times 10^8 \\ \\ =(5 - 3.4 ) \times 10^8 \\ \\ =1.6 \times 10^8[/tex]
I will give 26 points for this!!!!
1) GST is 5% and the subtotal is $818.75 what is the Grand total?
2) PST is 8% and the subtotal is $818.75 what is the Grand total?
Answer:
37.5%
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
And a survey of 500 households 23% say that they have a dog as a pet the standard deviation is 2% determine an interval that if I need to contain the 95% of all households who has a dog as a pet
Answer:
(114.123, 115.877)
Step-by-step explanation:
Given that :
Sample size (n) = 500
Mean = 23% of 500 = 115
Standard deviation (s) = 2% of 500 = 10
α = 95%
Zcritical at 95% = 1.96
Confidence interval = Mean ± Error
Error = Zcritical * standard deviation /sqrt (n)
Error = 1.96 * 10/sqrt(500)
Error = 0.8765386
Lower boundary : 115 - 0.8765386 = 114.1234614
Upper boundary : 115 + 0.8765386 = 115.8765386
(114.123, 115.877)
In 2010, there were approximately 6 million girls living in Orange City. In 2011, the population was down to 4 million girls. How many girls lived in Orange City in 2011 in comparison to 2010? Write your answer in scientific notation.
Answer:2010 +2011+2010=6021
6+4 =11
Step-by-step explanation:add then you divide
The sum of two numbers is 240. If one of them
is y find the other number.
Answer:
120?
Step-by-step explanation:
Let's solve the problem step by step: Let's assume the other number is x. According to the problem, the sum of the two numbers is 240. so we can write the equation as: [tex]x + y = 240[/tex]
To find the value of x, we need to substitute the value of y into the equation. Since y is given, we can substitute it. [tex]x + y = 240 x + y = 240 x + y + (-y) = 240 + (-y) x = 240 - y[/tex] Now, we have an equation expressing x in terms of y. To determine the value of x, we need to know the value of y.
Without that information, we cannot calculate the value of x specifically. However, based on the information given, we can conclude that the value of x will be equal to 240 subtracted by the value of y.
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PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME
Answer:
A.) 40.506 cm is the answer
Answer:
A. 40.506
Step-by-step explanation:
r=6.45
c= 2*3.14*6.45
c=40.506
Garrett read 100 pages in his new mystery novel. The book has a total of 250 pages.
What percent of the book has Garrett read?
Answer:
40% I believe
Step-by-step explanation:
I searched it up
Michelle bought 2 teddy bears and 3 flower vases for $27 in a shopping mall. Shannon bought 3 teddy bears and 2 flower vases for $30.5 from the same mall. what is the cost of the flower vase?
Answer:
$4
Step-by-step explanation:
let t represent teddy bear and v represent vase, then
2t + 3v = 27 → (1)
3t + 2v = 30.5 → (2)
Multiplying (1) by 3 and (2) by - 2 , then adding will eliminate t, that is
6t + 9v = 81 → (3)
- 6t - 4v = - 61 → (4)
Add (3) and (4) term by term to eliminate t, that is
5v = 20 ( divide both sides by 5 )
v = 4
The cost of the flower vase is $4
Answer:
It is going to be $4.00
Step-by-step explanation:
Hope this helped have an amazing day!
What is the first step in solving the equation 1 + 3/5x = 3?
What is the second step in solving the equation?
Answer:
subtract 1 from both sides
cube both sides
Step-by-step explanation:
nhfbgdvzfsdfexgrdtbfvdcfewzsxrdfcgvhjyvtfhcdgrxesrgdfcgvh
Which of the following expressions are equivalent to c/d?
Choose all answers that apply:
Answer:
Both A and B are correct because a negative divided by a negative makes a positive.
Hence, the expression which are equivalent to [tex]\frac{c}{d}[/tex] is both (A) and (B).
What are the expressions?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Here both the options (A) and (B) are correct because negative got cancel and it would be like the given expression.
Hence, the expression which are equivalent to [tex]\frac{c}{d}[/tex] is both (A) and (B).
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What is the measure of the angle?
The angle is a 90 degree angle.
Answer:
80degrees
Step-by-step explanation:
what is the equation for the line that passes through the point (3,7) and has a slope of 2?
Answer:
y=3/7x+2
Step-by-step explanation:
can i have brainliest?