Answer:
128 cm²
Step-by-step explanation:
Given linear scale factor of 2 similar shapes = a : b , then
ratio of areas = a² : b²
Here linear scale factor = 3 : 4 , then
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the larger shape then by proportion
[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )
9x = 1152 ( divide both sides by 9 )
x = 128
That is area of larger shape is 128 cm²
I have to solve the equation:
[tex] |4 \sqrt{2} - 6 | + |2 \sqrt{10} - 6| [/tex]
The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:
[tex]4 \sqrt{2} + 2 \sqrt{10} + 12[/tex]
The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:
[tex] |4 \sqrt{2} - 6 + (2 \sqrt{10} - 6 | = \\ = |4 \sqrt{2} - 6 + 2 \sqrt{10} + 6 | = \\ = 4 \sqrt{2} + 2 \sqrt{10}[/tex]
But this wasn't in the answers either.
After I checked, the correct answer was:
[tex]2 \sqrt{10} - 4 \sqrt{2} [/tex]
So I was wondering where does the minus come from?
It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know.
Think back to the definition of absolute value:
• If x ≥ 0, then |x| = x.
• If x < 0, then |x| = -x.
In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.
This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.
In this case,
|4√2 - 6| = -(4√2 - 6) = 6 - 4√2
because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:
4√2 = √16 √2 = √32
6 = √36
and √32 < √36 because 32 < 36.
Similarly,
|2√10 - 6| = 2√10 - 6
because
2√10 = √4 √10 = √40
6 = √36
So ultimately,
|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2
Which of the following determines a plane?
Answer:
Answer B
3 non collinear point
Hannah lost four points on a test and earned four points on an extra credit question what does the sum of 0 mean in the description of this situation?
Answer:
Is that it's not about the answers and the questions
what is the missing reason in the proof?
Answer:
i cant view the picture
Step-by-step explanation:
A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement
Answer:
AUB= {1,2,3,5,6,7,9}
AnB={1,2,3}
[tex]5x2 + 2x - 3=0[/tex]
Help and explain pls and thankyouuuuuu
Answer:
shhsksbsvsvdbdhsbs. c
9514 1404 393
Answer:
(d) -3
Step-by-step explanation:
Put the number into the expression and do the arithmetic.
f(g(-2)) = f(-2-3) = f(-5) = 2(-5) +7 = -10 +7
f(g(-2)) = -3
2 Points
(25x
0
The equation ya
represents Michelle's regular
130(x-38) +950 %> 38
hourly and overtime wage. Based on this equation, what is Michelle's
overtime hourly pay?
A. $30
B. $38
O C. $950
O D. $25
Answer:
The answer is "35.22".
Step-by-step explanation:
Let the given equation:
[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]
Answer: $25
Step-by-step explanation: took the quiz
Which number best represents the slope of the graphed line?
if f(x)= 10 – 2x and g(x) = 6x - 5, then (f+g)(x) =
Answer:
4x +5
Step-by-step explanation:
f(x)= 10 – 2x
g(x) = 6x - 5
(f+g)(x) =10 – 2x + 6x - 5
Combine like terms
= 4x +5
Answer:
( f + g )( x ) = 4 x + 5
Step-by-step explanation:
f ( x ) = 10 - 2 x
g ( x ) = 6 x - 5
( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )
= 10 - 2x + 6 x - 5
combine like terms
= 2 x + 6 x + 10 - 5
= 4 x + 5
Solve
7x - 3x - 8 = 24
Answer:
x = 8
Step-by-step explanation:
Factor:
7x - 3x = 4x
24 + 8 = 32
32 ÷ 4 = 8
---------------------------------------------------------------------------------------------------------------
Double check:
56 - 24 - 8 = 24
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Answer:
x = 33 / 4
Given :-
7x - 3x -9 = 24
We have to find
The value of x .
Step-by-step explanation:
Let's begin:-
7x - 3x -9 = 24
Step 1 :- Combine like terms.
4x - 9 = 24.
Step 2 :- Move constant to the right-hand and change their sign.
4x = 24 + 9.
Step 3 :- Add 24 and 9.
4x = 33
Step 4 :- Divide both side by 4.
4x / 4 = 33 / 4
Hence, x = 33 / 4
Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)
15a) Set the equation equal to 0 by inverse operations.
15b) Place the equation in factored form.
15c) Set each factor equal to 0 and solve for x.
I need help asap will give brainlist if answered and work is showed!
Step-by-step explanation:
15a)
[tex]x^2+4x=21[/tex] Subtract both sides by 21
[tex]x^2+4x-21 =0[/tex]
15b)
7 and -3 multiply to -21 and add to 4
The factors are (x+7)(x-3)
15c)
x+7 =0
x=-7
x-3=0
x=3
Pls can anyone give me tips for studying when I'm high-school
Answer:
take a break from social media , find a peaceful spot to study ,be engaged , take notes and listen during discussion make use of ur extra time wisely
hope it's helpful
Hihi , please help if able.
Answer:
9(9m + 3t) = 81m + 27t
Step-by-step explanation:
With brackets with more than one term inside multiplied by a number;
The rule of thumb to know is that with brackets, everything inside must be multiplied by everything outside;
So, in this case, the number 9 must be multiplied by each term inside the brackets:
9 × 9m = 81m
9 × 3t = 27t
So to expand, opening the brackets, you get:
81m + 27t
does this graph show a function pic out of the multiple choice to explain how
Answer:
B
Step-by-step explanation:
The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.
Which expression is equivalent
Answer:
[tex]\sqrt[6]{2\\}[/tex]
Step-by-step explanation:
Rewriting
2 ^1/2 ÷ 2 ^ 1/3
We know a^ b ÷ a^c = a^ (b-c)
2 ^ (1/2 -1/3)
Getting a common denominator
2^ ( 3/6 - 2/6)
2^ 1/6
[tex]\sqrt[6]{2\\}[/tex]
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:
[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]
Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:
[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]
We just need to subtract 1/3 from 1/2 to get:
[tex]2^{\frac{1}{6} }[/tex]
This is the same as the 6th root of 2, which is the second option.
how to Find the area of the following parallelograms?
Answer:
A=LxW
Step-by-step explanation:
It is same as the area of rectangles
A=LxW
Answer:
To find first Base and height of parallelogram then
Area= b×h
Find the area of the triangle. Round your answer to the nearest tenth.
B
25 cm
320
c
A
25 cm
d. 195.3 cm
c. 165.6 cm2
b. 312.5 cm?
a. 331.2 cm2
Answer:
c. 165.6 cm²
Step-by-step explanation:
We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:
Area = ½*b*c*Sin(A)
b = 25 cm
c = 25 cm
A = 32°
Area = ½*25*25*Sin(32)
Area = 165.59977
Area ≈ 165.6 cm² (nearest tenth)
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
Step-by-step explanation:
many things are possible.
the only thing we must not do is mixing the addition elements with the multiplication elements.
but we could change the expression to
3×(3×8) + 5
or
5 + (3×3)×8
or
5 + (3×8)×3
and so on, and it would always be the same result.
The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.
The given expression is 5+3 ×(3×8).
We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.
What is the commutative property of addition?The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.
Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.
The new expression=3×(3×8)+5
Therefore, option B is the correct answer.
#SPJ2
Your question is incomplete, probably the complete question/missing part is:
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
A. (3*3)*8+8
B. 3*(3*8)+5
C. 5+3*(24)
D. 3*(8*3)+5
What is the completely factored form of this polynomial?
x^4- 8x^2 + 16
A. (X+2)^2(x-2)^2
B. (x^2-4)^2
C. (x^2+4)(x+2)(x-2)
D. (x+2)(x-2)
Answer:
A. (x + 2)²(x - 2)²
Step-by-step explanation:
x⁴ - 8x² + 16 =
(x² - 4)(x² - 4) =
(x - 2)(x + 2)(x - 2)(x + 2) =
(x - 2)²(x + 2)²
what is the formula of cost
Step-by-step explanation:
I don't know the answer try again later
What is the equation of the line graphed below? Y +1= -3(x-1)
Answer:
y=-3x+2
Step-by-step explanation:
distribute and simplify
PLS HELP ASAP!! THX
For questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.
Answer:
Did you find them ?
Step-by-step explanation:
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
Answer:
$425.6 should be budgeted for weekly repairs and maintenance.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $400 and standard deviation $20.
This means that [tex]\mu = 400, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 400}{20}[/tex]
[tex]X - 400 = 20*1.28[/tex]
[tex]X = 425.6[/tex]
$425.6 should be budgeted for weekly repairs and maintenance.
If i= square root of -1, what is the value of i^3
Answer:
[tex] - i[/tex]
Step-by-step explanation:
Set up equation.
[tex]i {}^{3} = y[/tex]
[tex] {i}^{2 } \times i = y[/tex]
[tex] - 1 \times i = y[/tex]
[tex] - i = y[/tex]
express 96 as the product of prime factors
need it asap
plzz write the method too
Given:
The given number is:
[tex]96[/tex]
To find:
The product of prime factors of given number.
Solution:
We have,
[tex]96[/tex]
The prime factors of given number are:
2 | 96
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
So, 96 can be written as:
[tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex]
Therefore, the 96 as the product of prime factors is [tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex].
Need help on this!! Will give 20 points!!!
Answer:
80 mm
Step-by-step explanation:
1/p + 1/20 = 1/16
Subtract 1/20 from both sides
1/p = 1/16 - 1/20
Use 160 as common denominator
1/p = 10/160 - 8/160
1/p = 2/160
1/p = 1/80
Cross multiply
80 = p
80 mm
Find the area of the shape.
Answer:
Step-by-step explanation:
Sum of cubes:
(a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes:
(a – b)(a2 + ab + b2) = a3 – b3
Which products result in a sum or difference of cubes? Check all that apply.
(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)
Answer:
C and E
Step-by-step explanation:
Answer:
3 and 5
Step-by-step explanation:
The solution of this problem is in this picture.
Part II: Find the sine, cosine, and tangent ratios of <y
Answer:
sin θ = 22.62°
cos θ = 22.62°
tan θ = 22.62°
Step-by-step explanation:
From the diagram above
Opposite = 5
Adjacent = 12
Hypotenuse = 13
a) sin θ = Opp/Hypotenuse
sin θ = 5/13
sin θ = 0.3846153846
arc sin 0.3846153846
= 22.619864948°
Approximately = 22.62°
b) cos θ = Adjacent/ Hypotenuse
θ = 12/13
= arccos(0.9230769230769231)
22.619864948°
Approximately = 22.62°
c) tan θ = Opposite/Adjacent
θ = 5/12
= arctan(0.4166666666666667)
= 22.619864948°
= 22.62°
