Answers
Answer:
x = 3√10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Leg a = 9
Leg b = 3
Hypotenuse c = x
Step 2: Solve for x
Substitute [PT]: 9² + 3² = x²Rearrange: x² = 9² + 3²Exponents: x² = 81 + 9Add: x² = 90Isolate x: x = 3√10To find the value of x we can apply Pythagoras theorem in this right angled triangle.
So let's apply!
[tex]{ \boxed{ \sf{ \mapsto {Hypotenuse}^{2} ={Base }^{2} +{Perpendicular }^{2} }}}[/tex]
[tex] \sf{ : \implies {x}^{2} = {9}^{2} + {3}^{2} }[/tex]
[tex] \sf{ : \implies {x}^{2} = 81 + 9 }[/tex]
[tex] \sf{ : \implies {x}^{2} = 90 }[/tex]
[tex] \sf{ : \implies {x} = \sqrt{2 \times 3 \times 3 \times 5} }[/tex]
[tex] \sf{ : \implies {x} = 3 \sqrt{10} }[/tex]
Hence this is the value of x.
Related Questions
The Chang family ate 12 cookies in 10 minutes at this rate,how long would it take the family to eat 60 cookies
Answers
Answer:
50 min :)
Step-by-step explanation:
12 cookies in ten min
12*5=60
10*5=50
PLEASE HELP DUE TMRW!
What is the vocabulary term for a number that can be written as a fraction or a decimal.
that either terminates or repeats?
A.Integer
B.Rational Number
C.Absolute Value
D.Additive Inverse
Answers
Answer:
B
Step-by-step explanation:
Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator
Answer:
B. Rational number
Step-by-step explanation:
mark is 11 3/4 years old.marian is 1 1/2 years older than mark and jane is 1 1/5 years older than marian.how old is jane?
Answers
Jane is 19 9/20 years old. If Marian is 11/2 years bigger then Mark, you would have to add both ages up and then get the answer of 17 1/4. Then it said that Jane is 11/5 years older than Marian which means that you would have to add again to find the final answer. 11/5=2 1/5 and then add 17 1/4 which you get 19 9/20. So Jane is 19 9/20 years old.
Answer:
22/3 years old jane
Step-by-step explanation:
add 11+11 =22
2+5=7
7-3=4
so, she's 22/3 years old
5+(-13)=????
??????????
Answers
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
simplify the square root of 2 multiplied by the square root of 18
Answers
what is the total price of a book if barnes and nobles gets it for 4.25 and the markup is 30%
Answers
Drew is making a dart board. The diameter of the dart board is 48 centimeters. What is the approximate circumference?
Answers
Answer:
119 cm got it right on edge 2020
Step-by-step explanation:
Its right
r=diameter/2
r=48/2
r=24
Circumference = 2(pi)(r)
Circumference = 2(pi)(24)
Circumference = 150.7964cm = 150.8cm
The sum of two numbers is 150. The larger number is 20 more than the smaller number
What is the smaller number?
What is the larger number?
Answers
Answer:
the smaller number is 65
the larger number is 85
Step-by-step explanation:
Hope this helps! :)
The slope of the tangent to a curve at any point (x, y) on the curve is x divided by y . Find the equation of the curve if the point (2, -3) is on the curve.
A) x2 + y2 = 13
B) x2 + y2 = 25
C) x2 - y2 = -5
D) x2 - y2 = 5
Answers
Answer:
I THINK MAYBE C hope this helps
Step-by-step explanation:
what is 4140000 in standard form
Answers
Answer:
four million one hundred forty thousand
Step-by-step explanation:
just read it correctly and then write it down
Answer:
its 414 (03)
you take the first 3 numbers and put it and then you count how many zeros there are and you put 0 and how many there are withch is 4
Patty counted 250 chocolate chips on a tray of cookies. The actual amount of chocolate chips on the tray were 265. What is the percent error? *
Answers
Answer:
percent error=6%
Step-by-step explanation:
Step one:
given data
Patty counted 250
The actual amount of chocolate chips on the tray were 265
Required
The percent error
Step two:
The formula is
percent error= actual-expected/expected*100
percent error= 265-250/250*100
percent error=15/250*100
percent error=0.06*100
percent error=6%
the ratio of the length to the breadth of a rectangle is 7:3. calculate the dimensions of the rectangle if the area is 525m²
Answers
Answer:
Length = 367.5 m.
Breadth = 157.5 m.
Step-by-step explanation:
The ratio is 7:3 .
There are 7 + 3 = 10 'parts' in the ratio.
So we work out the multiplier which is 525 / 10 = 52.5
Length = 7 * multiplier
= 7 * 52.5
= 367.5
Breadth = 3 * multiplier
= 3 * 52.5
= 157.5.
Is sec (−θ) equal to sec θ or - sec θ? How do you know?
Answers
Answer:
sec(- θ ) = secθ
Step-by-step explanation:
The relationship between sec and cos is
sec x = [tex]\frac{1}{cosx}[/tex]
Now cos(- x) = cosx
Thus
sec(- θ ) = secθ
Which equation has a solution of 3/4 for y?
8y=9
4y=6
214+y=4
y−1=−14
Answers
Answer:
the answer for the solution set suppose to be 3/2 not 3/4
Step-by-step explanation:
the right equation is 4y=6
Write
0.925
as a fraction in simplest form.
Answers
Answer: 37/40
Step-by-step explanation: 0.925 = 925/1000
= 925/1000
= 185/200
= 37/40
Hope it helped u,
pls mark as the brainliest
^_^
What would your total be on a pizza that cost
$12.50 pre-tax, the tax was 9%, and you tipped
10% on the pre-tax amount?
Answers
Answer:
12.50/100 X 110 = 13.75
13.75-12.50 = 1.25
12.50/100 X 109 = 13.625
13.625 + 1.25 = 14.875
monetary unit round to 2dp
$14.88
Use the DistributiveProperty to write an equivalent expression
3(-6.45 + 5x)
Answers
In order to get this answer distribute the 3 to the -6.45 and the 5x.
what best describes pi?
Answers
Answer: D
Step-by-step explanation:
number π is a mathematical constant, the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.
Answer:
I would say answer D is the correct one.
Step-by-step explanation:
please help i’ll mark brainliest
Answers
Answer:
A
Step-by-step explanation:
it is A
What is the nth term rule of the linear sequence below?
13, 7, 1, -5, -11,...
Answers
Answer:
aₙ = a₁ - 6* (n-1)
Step-by-step explanation:
a₁ = 13 = 13 - 6* (1-1)
a₂ = 7 = 13 - 6 * 1 = 13- 6*(2-1)
a₃ = 1 = 7 - 1 = 13 - 6 * 2 = 13 - 6 * (3-1)
........
aₙ = a₁ - 6* (n-1)
check: a₅ = 13 - 6*4 = -11
Answer:
7
Step-by-step explanation:
7/9
I GOT ONE QUESTION HERE I NEED HELP OR ASSISTANCE ON
Answers
Answer:
(k + 0.04)(k - 0.04)
Step-by-step explanation:
a² - b² = (a + b)(a - b)
k² - 0.0016 = k² - (0.04)²
= (k + 0.04)(k - 0.04)
Hint: 0.0016 = [tex]\frac{16}{1000}=\frac{4^{2}}{100^{2}}=(\frac{4}{100})^{2} = (0.04)^{2}[/tex]
twelve less than a p
number is two
Answers
Answer:
P = 14
Step-by-step explanation:
First of all we know that P - 12 = 2
So, basically all we have to do is add 12 plus 2.
12 + 2 = P
P = 14
So, P should equal 14.
Answer:
p=14
Step-by-step explanation:
p - 12 = 2
+12 +12
p = 14
Hope this Helps!!!
The function f(x) is a cubic function and the zeros of f(x) are -5, -3 and 1. The y-intercept of f(x) is -45. Write the equation of the cubic polynomial in standard form.
Answers
Step-by-step explanation:
Since -5, -3 and 1 are the zeroes of f(x),
(x + 5), (x + 3) and (x - 1) are factors of f(x).
=> f(x) = a(x + 5)(x + 3)(x - 1),
where a is a real constant.
We are given that when x = 0, f(x) = -45.
=> a(0 + 5)(0 + 3)(0 - 1) = -45
=> -15a = -45, a = 3.
Hence, f(x) = 3(x + 5)(x + 3)(x - 1)
= 3x³ + 21x² + 21x - 45.
Answer:
The function f(x) is a cubic function and the zeros of f(x) are -5, -3 and 1. The y-intercept of f(x) is -45.
(x+5), (x+3) and (x-1) are the factors of f(x).
Form : f(x)=a(x+5)(x+3)(x-1)
When f(x)=-45 and x=0, we get a=3
Equation of the cubic polynomial in standard form is :---
[tex]f(x) = 3(x + 5)(x + 3)(x - 1)\\ =3 ( {x}^{2} + 8x + 15)(x - 1) \\=3({x}^{3} + 8 {x}^{2} + 15x - {x}^{2} - 8x - 15) \\ =3({x}^{3} + 7{x}^{2} + 7x - 15)\\=\boxed{3{x}^{3}+21{x}^{2}+21x-45}[/tex]
3x³+21x²+21x-45 is the right answer.More 5th grade work c’mon
Answers
Answer: honestly for the first one, i think the answer would be 2.
they both have 5 at the end so you know its divisible :)
Step-by-step explanation:
Answer:the awsner is 2
Step-by-step explanation:
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
4. Mikael worked 5 hours on Tuesday and 6 hours on Wednesday. She
earned $88. What was her pay rate?
Pls answer
Answers
11 hours times x =88
Find the remainder when the function is
Answers
according to the question
3x-1=0
3x=1
x=⅓
so
f(x)=18x³+x-1
f(⅓)=18.(⅓)³+⅓-1
f(⅓)=18.⅓.⅓.⅓+⅓-1
f(⅓)=6.⅑+⅓-1
f(⅓)=⅔+½-1
f(⅓)=0
therefore the remainder is 0f(x) = 2x-1 and g(x)=3x. Find f(g(-3))
Answers
Answer:
0,-1
Step-by-step explanation:
1 = $60, P = $750, r = 4%, t = ?. Find the amount of time.
Answers
Answer:
287.5 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = (1/0.04)((750/60) - 1) = 287.5
t = 287.5 years
Simplify the radical
Answers
Answer:
[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]
What is the outlier in the data set shown below?
A. 6
B. 36
C. 40
D. 46
Answers
The outliers of the given data seta are -
- 0.5 and 23.5
What is outlier of a data?An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
Given is a dataset shown in the image.
Arrange the data in ascending order -
(6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 15, 15, 40)
(x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, x₉, x₁₀, x₁₁, x₁₂, x₁₃, x₁₄, x₁₅, x₁₆)
First quartile -
Q{1} = (x₅ + x₄)/2 = (9 + 8)/2 = 8.5
Q{1} = 8.5
Third quartile -
Q{3} = (x₁₂ + x₁₃)/2 = (14 + 15)/2 = 14.5
Q{3} = 14.5
Interquartile range -
IQR = Q{3} - Q{1}
IQR = 14.5 - 8.5
IQR = 6
Outliers -
(numbers less than Q1 – 1.5 × IQR) = - 0.5
(numbers greater than Q3 + 1.5 × IQR) = 23.5
Therefore, the outliers of the given data seta are -
- 0.5 and 23.5
To solve more questions on outliers, visit the link below -
https://brainly.com/question/26958242
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