Brian says that ABCD is a right triangle. Is he correct? (Round your answer to the nearest whole number) Explain.
17 m
21.7 m
С
D 13.5 m
Answers
21.7²=17²+13.5²
21.7²=289+182.25
21.7²=471.25
21.7=√471.25
21.7=21.7
22(to the nearest whole number)
Answer: Yes, it is a right triangle
But only if you rounded everything to the nearest whole number.
Otherwise, it's a bit off (but fairly close).
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Explanation:
If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.
We have
a = 13.5b = 17c = 21.7Which leads to
a^2+b^2 = c^2
(13.5)^2+(17)^2 = (21.7)^2
182.25 + 289 = 470.89
471.25 = 470.89
We don't get the same thing on both sides, so we don't have a right triangle.
However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.
So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.
In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.
Related Questions
The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior
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Round your answer to one decimal digit. The volume of a cylinder is 1 800 cm3. If the height of the cylinder is 40 cm then the diameter of the cylinder is
Answers
Answer:
7.57 cm
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
r= radius
h = height
1,800 = 3.14 x r² x 40
r² = 1800 /(3.14 x 40)
r² = 14.33121
√14.33121 = r
r = 3.785658 cm
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Diameter = 2 x 3.785658 cm = 7.57cm
Solve 7x+6<3(x - 2).
Answers
Answer:
x<−3
Step-by-step explanation:
hope this works
A parallelogram-shaped window is divided into two sections by a rectangular piece of wood. Find the total of the area of the surface.
The total area of the glass surface is _ square inches
Answers
explanation: subtract 4 from 22 because 4 in is the wood in the middle.
22 - 4 = 18
then you do l x w
18 x 16 = 288
Write the quadratic equation in standard form:
-7x+4=x^2
Answers
Answer:
x² + 7x - 4 = 0
Step-by-step explanation:
A quadratic equation in standard form is
ax² + bx + c = 0 ( a ≠ 0 )
Given
- 7x + 4 = x² ( subtract - 7x + 4 from both sides )
0 = x² + 7x - 4 , that is
x² + 7x - 4 = 0 ← in standard form
Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial
Answers
all you need to do to figure this out is distribute the minus sign to the last part of the polynomial and then just combine the common factors in it.
hope this helps :)
Mark started walking to school at half past 9. christy arrived at school 15 minutes later .What time did she get to school
Answers
Answer:
Mark arrived at school at 9:45 A.M. or either 9:45 P.M.
Answer:
Christy got to school at 9:45am
Step-by-step explanation:
Consider two unique parallel lines. What aspects of these two lines are the same? What aspects of these two lines would have to be different?
Answers
If you can please help me with this question~ the question is the image :)
Answers
Answer:
B
Step-by-step explanation:
Start by using the distance formula to find the raidus
The two points are (-2,1) and (-4,1)
√((-4+2)²+(1-1)²)= 2
The radius is two and we have our center which means we can write
(x+2)²+(y-1)²=4
now it's just a matter of expanding everyhting
x²+4x+4+y²-2y-3=0
x²+y²+4x-2y+1=0
This is equal to B
PLEASE HELP ASAP!!
What is the solution to the inequality |2n+5|> 1?
A)-3> n > -2
B)2< n <3
C)n<-3 or n>-2
D)n< 2 or n> 3
Answers
Answer:
C, n < –3 or n > –2
Step-by-step explanation:
How many questions were on Victoria test
Answers
(80/100)*x=20
x=25
100% Verified
Hope this helps! :)
Which of the following is equivalent to 5sqrt 13^3
Answers
Answer: D) 13^(3/5)
Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.
I can't figure out the answer
Answers
Answer:
39
Step-by-step explanation:
y=arctan(0.8)=38.65=39
y = 4 x − 1
y = − x + 4
Answers
Answer:
x=1 , y=3
Step-by-step explanation:
y = 4 x − 1
4(y = − x + 4)
y = 4 x − 1
4y= - 4 x +16
5y= 15
y=3
3=4x-1
+1 +1
4=4x
/4 /4
x=1
What is the area of a rectangle with a length of x + 5
and a width of 4?
Answers
Answer:
[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]
In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is
Answers
Answer:
x = 8 cm
Step-by-step explanation:
Given that,
In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.
We need to find the value of x.
In a square, all the sides are equal. So,
PQ = QR
2x +3 = 3x – 5
3+5 = 3x - 2x
x = 8
So, the value of x is equal to 8 cm.
Does anyone know the Answer for this
Answers
Answer:
The value of y when x = 8 is -8.
Step-by-step explanation:
y = 8 - 2x
y = 8 - 2*8
y = 8 - 16
y = -8
Have a nice day!
HURRY I NEED HELP!!!!!
State the number of complex roots and the possible number of real and imaginary roots for each equation. Then find all roots, be sure to show all work!
(equations are in the image below)
Answers
Answer:
Both have 4 imaginary rootsStep-by-step explanation:
1)
(x^2 + 9)(x^2 + 6) = 01.
x^2 + 9 = 0x^2 = - 9x = ± √-9x = ± 3i2.
x^2 + 6 = 0x^2 = -6x = ±√-6x = ± i√6It has 4 imaginary roots and no real roots
2)
(x^2 + 7)(x^2 + 5) = 01.
x^2 + 7 = 0x^2 = -7x = ± √7x = ± i√72.
x^2 + 5 = 0x^2 = - 5x = ± √-5x = ± i√5It has 4 imaginary roots and no real roots
#1
(x²+9)(x²+6)=0First
x²=-9x=±3isecond
x²=-6x=±√6i4complex roots
#2
(x²+7)(x²+5)=0first
x²=-7x=±√7iSecond
x²=-5x=±√5i4 complex roots
A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators
Answers
Step-by-step explanation:
answer is in the image above
1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T
Answers
Answer:
True
Step-by-step explanation:
Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.
* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs
Hope this helps :) Brainliest would be appreciated XD
Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754
Answers
Answer:
What is the number of boys? I think you forgot to add the number in.
Step-by-step explanation:
Don't worry, I'll still help you! I'll be here waiting! :)
PLZ HELP ILL GIVE BRAINLY!!!1 NO LINKS!!!!!
Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...
Hint: Write a formula to help you.
1st term+ common difference(desired term-1)
Answers
Answer:
the 9th term would be -15
Step-by-step explanation:
Brette got a new phone! The length of her old rectangular phone screen was 44 centimeters. Her new rectangular phone screen is twice as long as the old screen. How much larger is the area of the new screen than the area of the old screen?
Answers
Answer:
2 times larger
Step-by-step explanation:
Area of a rectangle = length x width
assume width = 10
older area = 44 x 10 = 440
new area
length = 44 x 2 = 88
88 x 10 = 880
change in area = 880 / 440 = 2
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2+105x-859 y=−2x 2 +105x−859
Answers
Answer:
$519
Step-by-step explanation:
Given the amount of profit made expressed as y=-2x^2+105x-859
At maximum profit, dy/dx = 0
dy/dx = -4x + 105
0 = -4x + 105
4x = 105
x = 105/4
x = 26.25
Substitute into the original function
y=-2x^2+105x-859
y=-2(26.25)^2+105(26.25)-859
y = - 1,378.125+2,756.25-859
y = 519.125
Hence the maximum amount of profit the company can make is $519
Answer:
519
Step-by-step explanation:
just took the question
identify one solution for this graph
Answers
Answer:
y>2/1+-4
Step-by-step explanation:
y> because it's shaded over and since it's not dashes it needs the underline
2/1 because it's goes to the left twice and up once
-4 because that's where it starts
Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 200 managers, 300 factory workers, and 900 miscellaneous staff, find the following probabilities, leaving the answers as formulas.
(a) All the managers will be offered the opportunity.
C(___,___)
C(___,___)
(b) You will be offered the opportunity.
C(___,___)
C(___,___)
Answers
Answer:
Probability of 100 managers being selected= 100C100*1100C800/1200C900
Probability of selecting just one manager = 1C100*1199C899/1200C900
Explanation:
Given 100 managers, 200 factory workers, 900 miscellaneous workers, and workers bring transferred 900
To find probability of 100 managers leaving given that probability = number of favorable outcomes/total number of outcomes
We use combination since order doesn't matter:
Combination formula= n!/r!(n-r)! Where n= total number of outcomes and r is number of outcome at one time and ! is factorial
Probability of 100 managers using nCr formula for each item = 100C100*1100C800/1200C900
Probability of 1 manager also applying nCr formula as above =1C100*1199C899/1200C900
The probability is the ratio of the favorable event to the total number of events. The probabilities are as follows;
a. P = ¹⁰⁰C₁₀₀ × ¹¹⁰⁰C₈₀₀ / ¹²⁰⁰C₉₀₀
b. P = ¹⁰⁰C₁ × ¹¹⁹⁹C₈₉₉ / ¹²⁰⁰C₉₀₀
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery.
Assuming that your company currently employs 100 managers, 300 factory workers, and 900 miscellaneous staff.
We can use combination since order does not matter;
a) The probability of all the managers will be offered the opportunity will be
[tex]P = \dfrac{^{100}C_{100} * ^{1100}C_{800}}{^{1200}C_{900}}\\[/tex]
b) The probability of you will be offered the opportunity will be
[tex]P = \dfrac{^{100}C_{1} * ^{1199}C_{899}}{^{1200}C_{900}}\\[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
In the figure GHF=EHD. Which statement it true brother CP CTC?
A) FH=HE
B) DH=HF
C) GH=HD
D) GF=HD
Answers
Answer: DH and HF correspond.
13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?
Answers
Explanation: 60+3= 63
Answer:
63 inches tall.
Step-by-step explanation:
60 + 3 = 63.
A boat travel 45 miles in three hours at this rate how many miles with a boat travel in half an hour
Answers
Answer:
7 1/2 miles per half hour
Step-by-step explanation:
First let's find how many miles you travel per hour. To find that, you divide 45 by 3. This gives you 15 miles per hour. Now we need to find how many miles in half an hour. To do this we are going to convert into minutes. We need to find out how many miles per minute. There are 60 minutes in 1 hour, so we will divide 15 by 60. That gives 0.25, or 1/4 mile per minute. So now that we know how many miles per minute, we can find out how many for half an hour. Half an hour is 30 minutes, so we are going to multiply 1/4 by 30. You will get 15/2. We need to make that a mixed number, and that gives us 7 1/2 miles per 30 minutes, or 7 1/2 miles per half hour.
I hope this helped :)
(edit: I just realized I did this the hard way. Sorry. The easier way would be to just divide 15 by 2 since it would take two halves of 15 to make the amount of miles per hour.)
A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.10 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answers
Answer:
The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"
Step-by-step explanation:
Null and alternative hypothesis:
[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]
Significance level: [tex]\alpha = 0.10[/tex]
It is decided that the null hypothesis at the defined meaning level is rejected.
