Answer:
1). Option (b)
2). Option (d)
3). Option (d)
Step-by-step explanation:
Question (1)
For Pythagoras triplet,
(Largest number)² = (Number 1)² + (Number 2)²
a). 5² = 5² + 2²
25 = 25 + 4
25 = 29
Not True.
b). 5² = 3² + 4²
25 = 9 + 16
25 = 25
True.
c). 10² = 1² + 5²
100 = 1 + 25
100 = 26
Not true.
d). 2² = 2²+ 2²
4 = 4 + 4
4 = 8
Not true.
Therefore, Option (b) is correct.
Question (2)
1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, Option (d) is the answer.
Question (3)
Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.
a). 6 + 3 > 2 ⇒ 9 > 2 [True]
6 + 2 > 3 ⇒ 8 > 3 [True]
2 + 3 > 6 ⇒ 5 > 6 [False]
Triangle is not possible.
b). 2 + 8 > 3 → 10 > 3 [True]
8 + 3 > 2 → 11 > 2 [True]
2 + 3 > 8 → 5 > 8 [False]
Triangle is not possible.
c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
2.5 + 2.5 > 5.5 → 5 > 5.5 [False]
Triangle is not possible.
d). 3 + 6 > 7 → 9 > 7 [True]
3 + 7 > 6 → 10 > 6 [True]
7 + 6 > 3 → 13 > 3 [True]
These are the sides of a triangle.
Therefore, Option D is the answer.
[tex]\sqrt{x + 12} = x+5[/tex]
We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)
From [tex]\sqrt{x+12}=x+5[/tex]
Completing the square for both sides.
[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]
Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.
[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]
But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2
Therefore, the answer is (-9-√29)/2
Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.
HELP!!! STATS!!!
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time.
Stats question, I'm really stck please help me!
Answer:
The 99% confidence interval is [tex] 165.776 < \mu < 180.224 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 173 \ days[/tex]
The population standard deviation is [tex]\sigma = 28 \ days[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
[tex]E = 2.58 * \frac{28 }{\sqrt{100} }[/tex]
=> [tex]E = 7.224 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 173 -7.224 < \mu < 173 + 7.224 [/tex]
=> [tex] 165.776 < \mu < 180.224 [/tex]
Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33
Brooke measures the height of her bean plant for a science project. The bean plant is 12.5 inches tall.
How many centimeters tall is Brooke’s bean plant?
Answer:31.75 centimeters
Step-by-step explanation:
Is this a function???
Answer:
pfft no lol
Step-by-step explanation:
yeah no
have a good day! :)
plz give me brainliest
Answer:
yes
Step-by-step explanation:
i think,because it goes past the center it all
which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circle that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.
Answer:
C
Step-by-step explanation:
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.
I hope this helps!
Further explanation:
For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.
Side note:
The rest of the choices describe an incenter.
-2.5(4w-4)= -6 and check
Answer:
y=60
Step-by-step explanation:
Which line is parallel to y = -5/2x - 7?*
O 2x + 5 y = -5
O 2x - 5 y = 30
O 5x + 2y = 4
O 5x-2y = 8
Answer:
the answer is
5x + 2y = 4
Hello there ^^ I'd love it if you would help me :D
Answer:
Great question
Step-by-step explanation:
Where is it :p
Hewo plz help can u answer
PUT A REAL ANSWER!!!!!!!!!!
5 pts.
175+8w≥425
Answer:
w≥31.25
Step-by-step explanation:
175+8w≥425
-175 -175
8w≥250
/8 /8
w≥31.25
Answer:
X is greater than or equal to 125/4
Step-by-step explanation:
Subtract 175 from both sides which will turn 425 into 250
Divide 8 from 8x to the other side to turn 250 into 125/4
In the end, you get X is greater or equal to 125/4
I need the answer ASAP
Answer:
the are is 14
brainliest??
Step-by-step explanation:
Answer:
48ft
Step-by-step explanation:
Hope this helps. :)
if 7/12 is multiplied by a fraction less than 1 what would be the product
Answer:
Examples below
Step-by-step explanation:
We have the fraction
[tex]\frac{7}{12}[/tex]
It's required to multiply it by any fraction less than 1. Let's select the following fractions. All of them are less than 1 because the numerator is less than the denominator:
[tex]\frac{1}{7}[/tex]
[tex]\frac{4}{5}[/tex]
[tex]\frac{6}{35}[/tex]
The required products are:
[tex]\frac{7}{12}\cdot \frac{1}{7}=\frac{7}{7*12}=\frac{1}{12}[/tex]
[tex]\frac{7}{12}\cdot \frac{4}{5}=\frac{4*7}{12*5}=\frac{7}{15}[/tex]
[tex]\frac{7}{12}\cdot \frac{6}{35}=\frac{6*7}{12*35}=\frac{1}{10}[/tex]
Help me out please don’t pass this question help me !
Answer:
20L + 45 = 225
Step-by-step explanation:
20 is the slope making it constant
45 is a one time fee making it a y intercept
equaling 225
Answer:
20L+45=225
Step-by-step explanation:
20 represents how much she paid for each lesson, we don't know how many lessons she paid for so we use the variable L and multiply it by 20. She only had to pay the registration fee once so 45. Unknown lessons taken by 20 + the one-time fee of 45 equals 225
Hope this helps!
What is MR? Explain.
Answer:
MR is 20 because if the side lengths that are shown are congruent, then the bottoms are too. so each part of the bottom that has a number, that number repeats on the part that's part of that triangle. so the bottom lengths go " 4 6 6 4" and you add those together and get 20
Colin invests £14100 into his bank account. He receives 9.0% per year simple interest. How much will Colin have after 5 years? Give your answer to the nearest penny where appropriate.
Answer:
6350
Step-by-step explanation:
What basic fact can you use to divide 2,800 by 7
Step-by-step explanation:
2800/7 = 400, ,
please you can see the upper paper which
can to solve this division math
What is 3×7×7×7×7 using index notation
Answer: 3 x 7^4
Because there's one 3 & four 7's .
Step-by-step explanation:
Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.
Answer:
-2
Step-by-step explanation:
ur welcome
-1
Step-By step Explanation:
Which of the three ordered pairs represent the
unit rate?
(1,4)
(3, 12)
(2,8)
Answer:
(1,4)
Step-by-step explanation:
That's the rate that each coordinate point goes up by as well as it's the first point in the table
god please help me i’ve been stuck on this problem for hours and i’m so hungry:(
Answer:
B
Step-by-step explanation:
u should go eat
Answer:
A)
because it passes the line twice instead of once
(fuctions only cross once)
hope that helped you:)
please make my answer brainiest as im trying get 3 brainiest answers
Which function is represented by this graph
y=-1/2x +3 it's last one
Identify proportional relationships
Does the following table show a proportional relationship between the variables g and h?
g
3
6
9
9
36
81
Answer:
sure easy man the carrot is blue and green and orange there naswer soled
What is 2-1x(57\7) ?
Answer:
2 - [tex]\frac{57}{7}[/tex]x
Step-by-step explanation:
2-1x(57/7)
2 - [tex]\frac{57}{7}[/tex]x
Kellen got an e-mail from his bank on June 7th, June 21st, July 5th, and July 19th. Use inductive reasoning to predict the next time Kellen will receive an e-mail from his bank. A. July 21st B. July 26th C. August 2nd D. August 3rd
Answer:
August 2nd
Step-by-step explanation:
31 days in july, last email on the 19th
19-5=14
31-19=12
12+2=14
August 2nd, please mark brainliest
Which expression is equivalent to one over three p + 15?
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Answer:
1/3p + 5
Step-by-step explanation:
1/3 of 15 is 5
If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5
Answer:
a) 1/3 (p+45)
Step-by-step explanation:
that's the answer
Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer:
just go with your heart
Least to greatest 0.4, 5/8, 74%, 3/5
Answer:
0.4,3/5,5/8,74%
Step-by-step explanation:
Change them all into decimals.
Get 0.4,0.625,0.74,0.6
Then reorder and see what their original values were
what is the relationship of the angles
Answer:
Alternate Interior Angles
Answer:
a
Step-by-step explanation:
makayla is painting her house.each room needs 1/2 gallon of paint if she has three gallons of paint,how many rooms can she paint?
Answer:
6 rooms.
Step-by-step explanation:
3 x 2 = 6
it takes 2 halves to make a whole so 3 x 2 = 6
sophia used 1/10 of a liter of water to fill 1/4 of a fish aquarium. How much water, in liter is required to fill the aquarium?
Answer:
4/10 of a liter
Step-by-step explanation:
if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so
100/25=4