Answers
Answer:
[tex] e = 13\sqrt{2} [/tex]
[tex] f = 13\sqrt{2} [/tex]
Step-by-step explanation:
The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.
Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:
Finding e:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]
hyp = 26
opp = e = ?
Plug in the values into the formula
[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]
Multiply both sides by 26
[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]
[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]
[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]
[tex] 13\sqrt{2} = e [/tex]
[tex] e = 13\sqrt{2} [/tex]
Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]
Related Questions
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month.
Answers
Answer:
355.923 cubic feet per month
Step-by-step explanation:
Units Conversions
We need to convert from pints/day to cubic feet/month. Two basic conversions are needed:
1 US pint = 0.0167101 cubic foot
1 month = 30 days (average)
710 pints are equivalent to 710 * 0.0167101 = 11.8641 cubic feet
That volume corresponds to a daily flow. For a monthly flow, multiply by 30:
355.923 cubic feet per month
You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?
Answers
Answer: 13/51
Step-by-step explanation: After shuffling there are 52 permutations of 52 cards. Each has the probability of occurrence equal to another, that is the probability of any sequence of cards is 1/52.
Let's count only those where there is a red card on the first place and black card on the second. There are 26 red and 26 black cards. Therefore, we have 26 ⋅26 choices for a pair of two first cards. The sequence of other 50 cards in unimportant and any permutation among them is fine for us since we fixed the first two.
Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.
Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.
The final probability, therefore, is
26 ⋅26 ⋅50 / 52 = 26 ⋅26 / 52 ⋅ 51 = 13 / 51
13/51 is the final answer
what is 0.067 reccuring as a fraction
Answers
Answer:
67/1000
Step-by-step explanation:
How to translate 0.067 to a fraction:
So you can there is the tenths place (which is considered 0 on the decimal behind the point.) The hundredths place (where the 6 is placed), and the thousandths place (where the 7 is placed.)
Since the 7 is placed at the thousandths place, that means the denominator would be 1000. The number behind the point is .067.
So the fraction would be this:
67/1000
(Also it's at it's simplest form.)
help please!!
For the following situation, identify the explanatory and response variable. Then discuss what reservations (think cautions) you might have about the results of the experiment. Asking “What if…” type questions may help.
Do the high, centered brake lights (which have been required on all U.S. cars since 1986) really reduce the frequency of rear-end collisions? Randomized comparative experiments with fleets of rental and business cars, done before the lights were required, showed that the third brake light reduced rear-end collisions by as much as 50%. After the lights were required the drop was only 5%.
Answers
The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. = Speeding, cutting off others etc.. It also didn't tell how much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the previous testers have any reason to skew the study? Did they own stock in the third light business? Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting. How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.
The nth term of an AP is given by 2n +9 find the first term
Answers
Your cell phone plan is $40 per month plus $0.10 per minute for each minute over 300 minutes of call time. Your cell phone bill came to $110.00. How many mintes did you go over your alloted timed?
Answers
PLEASE HELP ME ON ALL ASAP!!!! I WILL GIVE BRAINLIEST!!!
Answers
Answer:0=16 1=23 2=30 3=37 4=44
Step-by-step explanation:
I need help asap
Solve for k
1/3(k-9)=1/3k+1/3
Thank you :)
Answers
Answer:
solve 1/3 (k - 9) = 1/3 k + 1/3 for k = (no solutions exist)
Step-by-step explanation:
1/3(k-9) = 1/3(k+1)
Divide both sides by 1/3
k-9 = k + 1
0k = 10
No solution
Which line is perpendicular to y=2x-7
Answers
Answer:
y=-1/2x−5/2
Step-by-step explanation:
The equation of a line perpendicular to given line is y=-x/2.
The given equation of a line y=2x-7 and passes through the point (0, 0).
What is slope of an equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
The standard form of equation of a line is y=mx+c, where m=slope and c=y-intercept.
So, slope of a given equation is y=2x-7
m=2
Now, slope of a line perpendicular to given line is -1/m = -1/2
Put m= -1/2 and (0, 0) in y=mx+c and simplify.
That is, 0=0+c
c=0
Then, the equation of a line is y=-x/2
Therefore, the equation of a line perpendicular to given line is y=-x/2.
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"Your question is incomplete, probably the complete question/missing part is:"
Which line is perpendicular to y=2x-7 and passes through (0, 0).
the value of x in logx(9/63)=1/2 is
Answers
Answer: x = 7/2
Step-by-step explanation: u juss simplify 1/2 x 7 to 7/2 so x = 7/2
The value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].
What is a logarithmic equation?
"A logarithmic equation is an equation that involves the logarithm of an expression containing a variable."
Given logarithmic equation
[tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex]
⇒ [tex]log_{10}x(\frac{1}{7} )=\frac{1}{2}[/tex]
⇒ [tex]log_{10}x=\frac{1}{2}({7} )[/tex]
⇒ [tex]log_{10}x=\frac{7}{2}[/tex]
⇒ [tex]x = 10^{\frac{7}{2} }[/tex]
⇒ [tex]x = 10^{3+\frac{1}{2} }[/tex]
⇒ [tex]x = 10^{3}[/tex] × [tex]10^{\frac{1}{2} }[/tex]
⇒ [tex]x = 1000\sqrt{10}[/tex]
The value of [tex]x = 1000\sqrt{10}[/tex]
Hence, the value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].
Learn more about logarithmic equation here
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Evaluate each expression.
b)
d)
169 cm2:13x13=169 13cm by cm
2500 cm2:50x50=2500 50cm by cm
/8
a) 2 + (10 − 3) =2+(10-3)
c)
(4 + 3)2 − (3 − 1)3 =
= 2+(7)=10
=
=
11.
b) (3 + 5) × 6 ÷ 3 + (8 + 52)
d)
18 + (4 + 5)2 × 2
=
=(7)x6/3+(177)
=
=(42/30
=
=
=
=
=
Answers
Answer:
atleast 1
Step-by-step explanation:
Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?
Answers
Answer:
Mr watts needs 7 weeks
Step-by-step explanation:
The average expense per presentation = $20,000
Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000
Also the cost of meals, motels, jet travel, and support personnel total $60,000 per week. Hence the total cost per week is:
Total cost = $140000 + $60000 = $200000
The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:
Revenue per week = $40 per person × 1000 people × 7 days = $280000
Let assume the number of weeks needed to earn $560000 be x. Hence:
280000x - 200000x = 560000
80000x = 560000
x = 7
If you were Kenny Watson, how would you feel about your brother Byron’s behavior?
AT LEAST 6 sentences
WILL RECIEVE BRAINLIST AND EXTRA POINTS
Answers
Answer:
I (kenny) would be irritated and annoyed that my brother continually treats me unwell and goes without punishment or chastisement. It is all By's fault that the brothers have to visit Grandma Sands. However, even though I would be annoyed by his attitude and actions, I would still love him as a brother because unlike the rest of the world, I know he has a soft side and isn't as horrible as he seems. I might feel unseen or ignored due to the radical and rebellious behavior my brother exhibits. Throughout the book the boys get closer and both are shown to be more than the cliche mean older brother/ bullied little brother. In the book, multiple circumstances bring out qualities in both of the boys that make them more relatable and likeable in general.
a chemical change creates a new
Answers
Answer:
A new substance with new and different physical and chemical properties.
Step-by-step explanation:
Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions. The particles of one substance are rearranged to form a new substance.
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
solve the following inequality.
6.3r < -45.36
which graph shows the correct solution?
A) Open circle pointing to the right, starting from -72 to infinity
B) Open circle pointing to the left, starting from -72 to infinity
C) Open circle pointing to the right, starting from -7.2 to infinity
D) Open circle pointing to the left, starting from -7.2 to infinity
Can u help please??
Answers
Answer:
D. Open circle, point is at -7.2 pointing to the left.
Step-by-step explanation:
Got it right on Edge 2021! Hope I helped <3
The last school year enrollment of Genoa Middle school was 465 students. This year the enrollment is 525.
Answers
Answer:
465 to 525
Step-by-step explanation:
60 difference
Shelly's pet food store sold one costumer 5 peanut butter biscuits for $3. She sold another costumer 7 beef treats for $4.20.
Answers
Write an equation in slope intercept form that has a slope of -8 and a y-intercept of 12
Answers
Answer: -8x + 12
Step-by-step explanation:
12 will be y-intercept because it crosses the y-axis.
-8 will be slope because it is the rate of change.
A television costs $400 to purchase. Renting the same telension
requires making a $50 non-refundable deposit plus monthly payments of
$25. After how many months will the cost to rent the television equal the
cost to purchase it
Answers
Answer:
14 months
Step-by-step explanation:
400 dollars to purchase tv
50 dollars down already in renting television
400-50=350 dollars
350 dollars/ 25 dollars each month for television=14 months
1 year 2 months
Hope this helps!
The number of months will the cost to rent the television equal the cost to purchase it is 1 year 2 months.
Given that, a television costs=$400. Renting the same television requires making a $50 non-refundable deposit plus monthly payments of $25.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, 400 dollars to purchase a television.
50 dollars down already in renting television
400-50=350 dollars
Number of months=350/25 =14 months
Therefore, the number of months will the cost to rent the television equal the cost to purchase it is 1 year 2 months.
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How many kilograms of potatoes will each person get if 5 people share 1/3 of a kilogram of potatoes equally?
Answers
Answer:
1/15 kg
Step-by-step explanation:
Divide by 5 can be written as multiply by 1/5
1/3 * 1/5 = 1/15
can i plz plz get some help with this
Answers
Help!!!!
Which of the following is a condition for the figure below that will not prove /1 // 12?
Answers
Answer:
option D , <a +<c = 180
Step-by-step explanation:
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HEY I NEED HELP ASAP!!!!!!!!!!!!!
this is the problem I need help with
n - 25/4 =3
Answers
Answer:
n = 37/4
Step-by-step explanation:
that's the answer to you question
Which of the following statements describes the value of the expression 35 – 2x, when x = 6?
A) It is a prime number
B) It is a composite number
C) It is a whole number that is neither prime nor composite
D) It is not a whole number.
Answers
Answer: B
Step-by-step explanation: 3x3=9 1x9 equals 9 if a number has 2 or more sets, it's a composite number. It would not become prime because 9 does not have 1 set.
Answer:
Step-by-step explanation:
b
The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero
Answers
Answer:
The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE
Hope this helps!
Answer: 1 turning point
Step-by-step explanation:
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Answers
Answer:
Brand A ($2) is more expensive than Brand B ($1.50) (see below)
Step-by-step explanation:
First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.
Using the slope formula:
y2 — y1
m = ---------------
x2 — x1
Plug in any two points from both lines:
y2 — y1
m = --------------- = graph 1 (0, 0), (1,2)
x2 — x1
2 — 0
m = ---------------
1 — 0
2
m = --------------- = $2/m
1
_______graph 2_______
y2 — y1
m = --------------- = graph 2 (0, 0), (4, 6)
x2 — x1
6 — 0
m = ---------------
4 — 0
6 3
m = --------------- = ----------- = $3/2 m
4 2
Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:
$3 = $x
2m = 1m
Cross multiply:
3 (1) = 2x
3 = 2x
x = (3 ÷ 2)
x = 1.5
So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.
Tracy plans to serve punch along with the chicken wings. According to her calculations, two times the amount of punch needed is more than 4 liters. Write an inequality for y, the amount of punch needed to serve at Tracy’s party.
Answers
Answer:
word problems are pretty tricky
Step-by-step explanation:
y= punch
2*y > 4 Liters
y >2 Liters
Answer:2y>4
Step-by-step explanation:
Two times the amount of punch needed =2y. Because this amount must be greater than 4 liters, the inequality is given by 2y>4
Add parentheses to make 6-9-2+3x6 equal to 17
Answers
Answer:
6-(9-2)+3x6
Step-by-step explanation:
hope it helps
Does anyone know the answer?
Answers
Answer:
20 i think
Step-by-step explanation:
78 billion scientific notation
Answers
Answer:
78 x 10^9
Step-by-step explanation:
Hope this helps!
Answer:
7.8 x
Step-by-step explanation:
Scientific notations are being used to write very large or very small numbers. In line with this, the other details regarding 78 million in scientific notation are indicated above.