Answer:
X=97
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
[tex]\sqrt{a^2+b^2}=c[/tex]
Now,
A=65
B=72
72x72=5184
65x65=4225
4225+5184=9409
Last,
Take the square root of 9409.
The square root is 97.
Therefore, the hypotenuse is 97.
To check, use the equation:
[tex]a^2+b^2=c^2[/tex]
A=65
B=72
C=97
72x72=5184
65x65=4225
97x97=9409
5184+4225=9409
9409=9409
Therefore, the missing side, which is the hypotenuse, is 97.
Answer:
97
Step-by-step explanation:
Given:
Opposite = 65Adjacent = 72Hypotenuse = xDefinition:
Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.To find:
Value of xPythagorean Theorem:
[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]
Determine:
a = oppositeb = adjacentc = hypotenuseNote:
a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.Therefore, substitute given information in:
[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]
Evaluate:
[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]
Square Root both sides:
[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]
Cancel the squared x, add plus-minus:
[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]
Simplify the surd:
[tex]\displaystyle \large{\pm 97 = x}[/tex]
However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:
[tex]\displaystyle \large{x=97}[/tex]
Hence, the value of x is 97
evelyn invests $3200.00 in an account for 9 months at a 5% annual interest rate, what is evelyns total amount in her account at the end of the term?
Answer:
3320
Step-by-step explanation:
So, 9 months is 9/12 of a year which is 3/4.
Each month they get 5/12% of their total money, so 9x5/12=3.75%.
3320
Find the area of the square.
pls help!!
Answer:
Area of square: 9/16 m²
Step-by-step explanation:
We are given:
Side length of square: 3/4 metersThe area of the square is the side multiplied by the same side. Therefore,
⇒ Area of square: (3/4) × (3/4)⇒ Area of square: (3/4)²Using the exponents property, [(a/b)² = (a²/b²)]:
⇒ Area of square: (3²/4²)⇒ Area of square: (9/16) m²Therefore, the area of the square is 9/16 m².
Answer:
[tex]\huge\boxed{\bf{Area_{square} = \frac{9}{16}m^2}}[/tex]
Step-by-step explanation:
Given : -
Slide length of square = [tex]\frac{3}{4}[/tex]m.To Find : -
Area of squareAns : -
$\sf \to Area_{square} = (side\:length)^2$
$\sf \to Area_{square} = (\frac{3}{4}m)^2$
$\sf \to Area_{square} = (\frac{3}{4}m*\frac{3}{4})$
$\sf \to Area_{square} = (\frac{3*3}{4*4}m^2)$
$\sf \to Area_{square} = \frac{9}{16}m^2$
[tex]\:[/tex]
$\huge\colorbox{skyblue}{BlackPain}$
How would the following decimal read: 321.222
Answer:
Three hundred twenty-one and two hundred twenty-two thousandths.
Step-by-step explanation:
Take a glance at the image.
Please accept my apologies if it appears to look bad-
I need help ASAP! I took a screenshot of the question and linked it.
Before we solve this problem:
⇒ let's figure out what all the variables in the equation stand for
t: number of years after initial rabbit populationr(t): number rabbits in 't' yearsQuestion 16: How many rabbits will there be in 8 years?Since it is asking how many rabbits there be in 8 years⇒ that means we substitute 8 into 't' of the equation
[tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]
*we will round down the number of rabbits since it is impossible to
have 0.2 of a rabbit
There will be 4519 rabbits in 8 years.
Question 17: When will the population be 15000?Since it asking for when the population or R(t) will be 15000⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'
[tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]
*in this case, you want it to the nearest year, round it up since we
asked for how many years, and if we were to say 11, the
the population of rabbits wouldn't have reached that number yet,
so we will round up to ensure that number has been reached by
that year.
It will take at least 12 years for the rabbit population to reach 15000
Hope that helps!
Is the a system of equations has no solution, the graph of the system are?
Answer:
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
c. A detergent contains a mixture of chemicals: A, B and C in the ratio 4: 10:10. A bottle of detergent contains 1.8 litres of Chemical C. How much of chemical A and B does the bottle contain? 161
Answer:
A = 0.72l B = 1.8l C = 1.8l
Step-by-step explanation:
A:B:C = 4:10:10
It means that B and C are equal
It is told that C contains 1.8 liters
B have to contain 1.8 liters too
1.8l*4/10 = 0.72l
You can also write it like this (this version is easier for me):
1.8l:10 = 0.18l
4*0.18l = 0.72l
Hope that I helped :)
An altitude of a triangle is a line or segment that passes through a vertex of
the triangle and is perpendicular to the line containing the opposite
Answer here
Answer: side
Step-by-step explanation:
A circular garden has a diameter of 10 feet. Approximately how much edging trim is needed to surround the garden by placing the trim all along the garden's circumference?
Answer:
31 feet
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
Answer: 31 ft
Step-by-step explanation:
circumference = pi × diameter
pi × diameter = 31.4 (10×3.14)
In your own words, explain how prime factorization is useful to find the greatest common factor and least common multiple.
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
So you can use the factor tree to find the GCF and LCM
The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
What is prime factorization?Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.
here, we have,
we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.
now, we know that,
gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.
and,
lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
so, we have,
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
So you can use the factor tree to find the GCF and LCM.
Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
learn more on prime factorization click:
https://brainly.com/question/4680412
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please help me Find m
Answer:
60 degree is the value of m
At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?
Answer:
25%
Step-by-step explanation:
Simple interest= PRT/100
392,000=112,000*R*14/100
392,000=1120*14*R
392,000=15,680R
R= 392,000/15,680
R= 25%
Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =
Answer:
Here is the answer
Step-by-step explanation:
A system of equations is shown below.
Equation A: 4x - y = -5
Equation B: x + 2y = 1
Which method eliminates one of the variables?
1.
Multiply equation A by 2 and add the result to equation B.
2.
Multiply equation B by 4 and add the result to equation A.
3.
Multiply equation A by 2 and equation B by 4, and add the results toge
4.
Multiply equation B by 2 and equation A by 4, and add the results toge
Answer:
this one has to be answer 1
Step-by-step explanation:
4x - y = -5
x + 2y =1
8x - 2y = -10
x + 2y = 1
9x = -9
How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT put the dollar sign.)
Answer:
1265 i think
Step-by-step explanation:
add 11 15 times
Answer:165
Step-by-step explanation:
[tex]\sqrt{50} +\sqrt{18}[/tex]
Answer:
8 × square root of 2
Step-by-step explanation:
50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.
18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.
then we just find the sum
Please help me I will mark BRAINLY
Answer:
see explanation
Step-by-step explanation:
(a)
5% of N 80000
= [tex]\frac{5}{100}[/tex] × 80000
= 0.05 × 80000
= N4000 ← VAT
(b)
total cost = 80000 + 4000 = N84000
Solve 5+ 4.7 (21 + 3x) = 41
Pasang fixed the marked price of a watch Rs. 4000 and he sold it allowing a discount of 10%. Then he made a profit of Rs 400. Find the cost orice of the watch.
Answer:
Cost Price = Marked Price -Discount - Profit
CP = 4000-400-400
Cost price = 3200
Rs. 3200
The answer iis in the above picture hope you like it. Pls mark brainliest
(12 points) Let X = (1,2,3,4,5).
(a) Find the number of sequences of length 7 over X.
(b) A palindrome of length kis a sequence aja2 ... 0 such that alk-1...0,01 = 0102 ...k-101ka Find the number of palindromes of length 7 over X.
(c) How many three digit odd positive integers with distinct digits can you write using only the numbers in X?
The answer is C
If I am wrong, please come after me, I am not perfect
IM STUCK CAN SOMEBODY SOLVE THIS EQUATION
Given h of x equals 3 times the square root of x plus 2 end root, which of the following statements describes h(x)?
The function h(x) is increasing on the interval (–∞, –2).
The function h(x) is decreasing on the interval (2, ∞).
The function h(x) is decreasing on the interval (–∞, 2).
The function h(x) is increasing on the interval (–2, ∞).
Answer:
The function h(x) is increasing on the interval (-2, ∞)
Step-by-step explanation:
Given function: [tex]h(x)=3 \sqrt{x+2}[/tex]
We cannot square root a negative number, therefore the domain (x-values) is restricted:
[tex]x+2\geq 0 \implies x\geq -2[/tex]
Therefore, [tex]h(x)\geq 0[/tex]
⇒ The function h(x) is increasing on the interval (-2, ∞)
Answer:
FLVS ANSWER D- The function h(x) is increasing on the interval (–2, ∞).
Step-by-step explanation:
you dont need one
I WILL MARK BRAINLIEST
Is an antacid polar or non-polar?
Answer:
Antacid tablets react with water but not oil so its polar
What is the surface area of this prism?
Answer:
Step-by-step explanation:
front side: 6x3 = 18
back : 6x3 = 18
right:6x2 = 12
left:6x2 = 12
top: 3x2 =6
bottom: 3x2 =6
18 + 18 + 12 + 12 + 6 + 6
= 72
can you please help me find the area. I put 141 but it says that i am wrong. Can anybody help and say what i did wrong.
Answer:
3120 think
Step-by-step explanation:
i just did 3x8x10x13
Find the area of the figure.
answer:
804.980cm²
explanation:
attached
--
if this helped, please consider giving brainliest !
Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?
Answer:
8.75
Step-by-step explanation:
I divided 8 by .914 and got and estimate of 8.75
Help picture below problem 9
Answer:
i think the answer might be E.
the answer is A option that is Angle M
if 8 pieces are 220 calories how many calories is 1 piece
Step-by-step explanation:
8 pieces = 220 colories
1 piece = 220/8 = 27.5 calories
Answer:
27.5
Step-by-step explanation:
8 divided by 220 = 27.5
Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that
And Hope This Helps
Find the measure of ∠b.
A. 110∘
B. 102∘
C. 111∘
D. 121∘
Answer:
110 :)
Step-by-step explanation:
Triangle total angle measurement: 180
Now lets solve!
28 + 42 + ? = 180
70 + ? = 180
Now we have to subtract!!
180 - 70 = 110
Have an amazing day!!
Please rate and mark brainliest!!
This year, a small business had a total revenue of 89,700 . If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?
Answer:
Revenue was 55,614 the year before
Step-by-step explanation:
Decay Formula: y = a*(1-r)^x
So:
y = 89700 * (1-0.38)^1
y = 55614
well, their total revenue last year was "x", which oddly enough is 100%. Now, this year's revenue is 38% more than that, well, 100% + 38% = 138%, and we also know that it's 89700, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 89700& 138 \end{array} \implies \cfrac{x}{89700}=\cfrac{100}{138}\implies \cfrac{x}{89700}=\cfrac{50}{69} \\\\\\ 69x=4485000\implies x=\cfrac{4485000}{69}\implies x=65000[/tex]