Select the correct answer
Consider the given solids with the dimensions shown. Which solids are similar?
Aonly figure 1 and figure 2
B.only figure 2 and figure 3
c.only figure 1 and figure 3
D. all three figures
E none of the figures
Answers
only figure 1 and figure 3 are similar.
What is similarity?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.
If we take the ratio of three side as
16:9:12
(4)²:(3)²:(2√3)²
Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.
If we take the ratio of three side as
64:36:48
(8)²:(6)²:(4√3)²
Comparing the ratios of both figure, the figure 3 has twice the measurement of figure 1 sides.
Hence, only figure 1 and 3 are similar.
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Related Questions
........................................
Answers
Step-by-step explanation:
(x - 11)² = 72x - 11 = ± √72x = 11 ± √72The exact solutions are: x = 11 + √72 and x = 11 - √72
The approximate solutions are: x = 19.49 and x = 2.51
[tex]\\ \sf\longmapsto (x-11)^2=72[/tex]
[tex]\\ \sf\longmapsto x-11=\sqrt{72}[/tex]
[tex]\\ \sf\longmapsto x-11=\pm 8.48[/tex]
[tex]\\ \sf\longmapsto x=11-8.48\:or\:11+8.48[/tex]
[tex]\\ \sf\longmapsto x\approx 2.52\:or\:19.48(Approximate)[/tex]
[tex]\\ \sf\longmapsto x=3\:or\:19(Exact)[/tex]
Can 4x + 10 can be simplified to 14x?
Answers
Answer:
NO
Step-by-step explanation:
“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction)
so you need to sole 4x and after add 10
The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
Answers
April took out a $600 loan from the
bank. At the end of 5 years, she pays
back the principal, plus $60 simple
interest. What was the interest rate?
Answers
Answer:
2%
Step-by-step explanation:
Answer:
I don’t know
Step-by-step explanation:
Would anyone be able to help with this?
Answers
hii the answer would be 57°
The sum of a number nd its opposite will always add up to
absolute value?
Answers
Answer:
On the number line, a number and its opposite are, predictably, opposite each other. In other words, they are the same distance from zero, but on opposite sides of the number line. The opposite of zero is defined to be simply zero. The sum of a number and its opposite is always zero, as shown in the following example.
Also they have the same absolute value because absolute value is the distance form the 0 on the number line.
-5-4-3-2-1”0”1 2 3 4 5
4 and negative four are both four away form the zero and -4+4=0
Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices.
[tex] \frac{3x ^{2} + 3x - 2 }{(x + 1)^{2} (x - 1)} = \frac{a}{x + 1} + \frac{b}{x - 1} + \frac{c}{(x + 1)^{2} } [/tex]
A=
B=
C=
Answers
Combine the fractions on the left with a common denominator:
[tex]\dfrac a{x+1} + \dfrac b{x-1} + \dfrac c{(x+1)^2} = \dfrac{a(x+1)(x-1) + b(x+1)^2 + c(x-1)}{(x-1)(x+1)^2}[/tex]
It follows that
[tex]3x^2+3x-2 = a(x+1)(x-1) + b(x+1)^2 + c(x-1)[/tex]
Expand the right side and collect like powers of x :
[tex]3x^2+3x-2 = a(x^2-1) + b(x^2+2x+1) + c(x-1)[/tex]
[tex]3x^2+3x-2 = (a+b)x^2 + (2b + c)x -a +b - c[/tex]
Then we have the system of equations
[tex]\begin{cases}a+b=3\\2b+c=3\\-a+b-c=-2\end{cases}[/tex]
or in matrix form,
[tex]\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix} \begin{bmatrix}a\\b\\c\end{bmatrix} = \begin{bmatrix}3\\3\\-2\end{bmatrix}[/tex]
Compute the determinant of the coefficient matrix:
[tex]\det\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix} = -4[/tex]
Then the inverse of the coefficient matrix is equal 1/det times the adjugate of the coefficient matrix (a.k.a the transpose of the cofactor matrix):
[tex]\begin{bmatrix}1&1&0\\0&2&1\\-1&1&-1\end{bmatrix}^{-1} = \dfrac1{-4} \begin{bmatrix}-3 & -1 & 2 \\ 1 & -1 & -2 \\ 1 & -1 & 2\end{bmatrix}^\top = -\dfrac14 \begin{bmatrix}3&-1&-1\\1&1&1\\-2&2&-2\end{bmatrix}[/tex]
Multiply both sides of the equation by the inverse :
[tex]\begin{bmatrix}a\\b\\c\end{bmatrix} = -\dfrac14 \begin{bmatrix}3&-1&-1\\1&1&1\\-2&2&-2\end{bmatrix} \begin{bmatrix}3\\3\\-2\end{bmatrix} = \begin{bmatrix}2\\1\\1\end{bmatrix}[/tex]
So, we have a = 2 and b = c = 1, and the partial fraction decomposition is
[tex]\dfrac{3x^2+3x-2}{(x+1)^2(x-1)} = \dfrac 2{x+1} + \dfrac 1{x-1} + \dfrac 1{(x+1)^2}[/tex]
Answer:
A = 2B = 1C = 1Step-by-step explanation:
One can solve for a, b, c a little more directly than using a system of 3 equations.
If we multiply the rational expression by (x+1)², we get ...
(3x² +3x -2)/(x -1) = (x+1)²(a/(x+1) +b/(x-1)) +c
Evaluating this for x = -1 gives ...
(3(-1)² +3(-1) -2)/(-1 -1) = c
-2/-2 = 1 = c
Similarly, multiplying by (x -1) gives ...
(3x² +3x -2)/(x +1)² = (x -1)(a/(x +1) +c/(x +1)²) + b
Evaluating this for x = 1 gives ...
(3·1² +3·1 -2)/(1 +1)² = b
4/4 = 1 = b
Now, we need to find the value of 'a'. The identity will hold true for any value of x, so we can see what happens when we substitute x=0. We can use the values of 'b' and 'c' that we found above.
(3·0² +3·0 -2)/((0 +1)²(0 -1)) = a/(0 +1) +1/(0 -1) +1/(0 +1)²
-2/-1 = a -1 +1 ⇒ a = 2
_____
System of equations solution
When the terms of the right-side expansion are combined, the numerator of the result is ...
a(x +1)(x -1) +b(x +1)^2 +c(x -1) = (a+b)x² +(2b+c)x +(-a+b-c) ≡ 3x² +3x -2
Equating the coefficients gives the system of equations whose augmented matrix is:
[tex]\left[\begin{array}{ccc|c}1&1&0&3\\0&2&1&3\\-1&1&-1&-2\end{array}\right][/tex]
Transforming this to reduced row-echelon form using any of a variety of available tools gives ...
[tex]\left[\begin{array}{ccc|c}1&0&0&2\\0&1&0&1\\0&0&1&1\end{array}\right][/tex]
which tells you the solution is (A, B, C) = (2, 1, 1).
Whats (c) ????????????? ????
Answers
Answer:
11
Step-by-step explanation:
yeah-ya............ right?
Check the picture below.
Solve the problem using a system of equations: The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.
(__,__),(__,__)
Answers
The numbers which hold true for the situation modelled in the task content are; (-√15, 0) and (+√15, 0).
Which numbers hold true for the situation?The system of equations which model the situation is;
x²- y² = 15
2x² - y² = 30.
Hence, by subtracting equation 1 from 2; we have;
x² = 15
x = ±√15.
and hence by substitution; the value of y is;
(√15)² + y = 15
y = 0.
Hence, the required values of the numbers are;
(-√15, 0) and (+√15, 0).
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In the formula D = 1 ÷ f, if f is equal to -0.025, then D is equal to
Answers
I’m assuming that you can’t use a calculator in my work:
To solve this I changed the decimal -0.025 into a fraction .25 equals 1/4 so -0.025 must equal negative 1/40. -1/(1/40) equals -40
87 is 12.5% of what number?
Answers
Answer:
696
Step-by-step explanation:
use the correct trig function to find the value of x. (SAH,CAH,TAH)
Answers
Answer:
x=13.38
Step-by-step explanation:
Hi there!
We are given triangle ABC, with m<A=45°, CA=13, and BA=x
We want to find the value of x
First, let's find out which side is the adjacent, opposite, and hypotenuse
Using <A as the reference angle:
BC is the opposite
CA is the adjacent
BA is the hypotenuse
Recall the 3 most common trigonometric functions:
Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A
In reference to <A, the ratio will be:
cos(<A)=[tex]\frac{CA}{BA}[/tex]
Substituting all known values gives:
cos(45)=[tex]\frac{13}{x}[/tex]
Now multiply both sides by x
cos(45)x=13
Divide both sides by cos(45)
x=[tex]\frac{13}{cos(45)}[/tex]
Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode
x≈13.38
Hope this helps!
Start with x and cube it
Answers
Answer:
x to the power of 3
Step-by-step explanation:
please help me i will give u a thanks
Answers
Answer:
1024
Step-by-step explanation:
because its going by 4
Gauge Think! Think! Think! Direction: Choose the letter of the correct answer. Write your answer on a separate sheet of paper. 1. Which of the following decimal is greater than 0.721? A. 0.129 B. 0.192 C. 0.712 D. 0.921 2. Which of the following is correct? A. 0.69 > 0.69 B. 0.013 < 0.31 C. 0.005 = 0.05 D. 0.306 > 0.36 3. How does 6 in 0.2645 compared with 6 in 0.2465? A. 6 in 0.2645 is more B. 6 in 0.2465 is more C. 6 in 0.2645 is less D. They are equal 4. Which set of decimals show from least to greatest? A. 0.01,0.042, 0.087.0.06 B. 0.002, 0.03, 0.85, 0.13 C. 0.006, 0.023, 0.438, 0.9 D. 0.42, 0.1, 0.253, 0.341 5. Which set of decimals show from greatest to least? A. 0.51,0.072, 0.187, .0.06 B. 0.2, 0.103, 0.05, 0.03 C. 0.106, 0.053, 0.238, 0.9 D. 0.82, 0.11, 0.853, 0.041 PLEASE ANWER IT CORRECTLY PLEASE PLEASE PLEASE
Answers
Answer:
1. D
2. B
3. The six in the first one is in the tenths place, the second is in the thousandths. But the answer is A.
4. 5, 0.9, 0.85, 0.438, 0.42, 0.341, 0.253, 0.13, 0.1, 0.087, 0.042, 0.03, 0.023, 0.01, 0.006, 0.002, 0 Sorry, I did greatest to least on accident.
5. 0.9, 0.853, 0.82, 0.51, 0.238, 0.2, 0.187, 0.11, 0.106, 0.103, 0.072, 0.053, 0.05, 0.03 greatest to least.
Uhm, sorry if I ordered some wrong on accident.
There are 18x10/1 players in league
part A: The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each players in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.
part B: how much would it cost to order sweatpants for each player? write and solve an equation with a variable to show your work.
1: Which cost more: 136 sweatpants or 103 sweatshirts? How much more?
Parts A: Coach sandberg wants to order 115 jackets and 27 caps for $12 each.
Estimate the total cost for his order. Show your work
what is his total cost? compare your answer to your estimate
Answers
Answer: a little too late but in case anybody else needs it!
Step-by-step explanation:
The table shows a linear relationship between x and y.
x
-6
-3
1
4
Y
21
13.5
3.5
-4
What is the slope of the line represented by the values in the table?
Answers
Hope this helps!! :)
solve: |2(x-5)|+11=17
Answers
Answer:
x = 8, x = 2
Step-by-step explanation:
|2(x-5)|+11=17
|2(x-5)| = 6
|(x-5)| = 3
x = 8 AND x = 2 because of the absolute value.
Brainliest, please :)
The solution of the given equation will be x = 2 and 8.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The expression is;
| 2 (x - 5) | + 11 = 17
Now, Solve the expression is;
| 2 (x - 5) | + 11 = 17
Subtract 11 both side,
| 2 (x - 5) | + 11 - 11 = 17 - 11
| 2 (x - 5) | = 6
Reduce modulus we get;
2 (x - 5) = ±6
Take positive sign,
2 (x - 5) = 6
x - 5 = 6/2
x - 5 = 3
x = 3 + 5
x = 8
And, Take negative sign,
2 (x - 5) = -6
x - 5 = -6/2
x - 5 = -3
x = 5 - 3
x = 2
Thus, The solution of the given equation will be x = 2 and 8.
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Does anyone know the answer to this? Please help
Answers
Would anyone be able to help with this? on my review and not sure how to do it
Answers
90 degrees - 78 degrees = 12 degrees
cofunction of sin is cos
answer : cos12
A moving company charges $450 plus $12 per hour. Another moving company charges $21 per hour. How long is the job that costs the same no matter which moving company is used?
Answers
Answer:
50 hours
Step-by-step explanation:
Kaleb is ordering food for his siblings. Each burger costs $4 and each order of fries cost $2 each. Kaleb wants to spend at most $20. Let x represent burgers and y represent fries. a. Write a linear inequality to find the number of burgers and fries Kaleb can buy.
Answers
Answer:
4x + 2y ≤ 20
Step-by-step explanation:
x = burger
y = fries
a. 4x + 2y ≤ 20 at most means ≤
What is 2+2=?
PLS HEP ME
I in kindergarden.
Answers
Answer:
4
Step-by-step explanation:
You want a cookie?
Answer:
2+2 = 4
Step-by-step explanation:
1+1+1+1 = 4
Hope this helped!
mark me brainliest :D
Question 5 of 10
Which of the following lists of ordered pairs is a function?
A. (1,6), (2, 7), (4,9), (0,5)
B. (2,4), (0, 2), (2, -4), (5,3)
C. (0,2), (2, 3), (0, -2), (4,1)
O D. (1,2), (1, -2), (3, 2), (3, 4)
Answers
Answer:
A
Step-by-step explanation:
Because the x doesn't repeating
Hope it can help you lovelots
#LEARN WITH BRAINLY
The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?
Answers
28 years
Step-by-step explanation:
Co-relating their ages:Let's say, the cat is x years old.The dog is twice as old as the cat
That makes the dog 2x years old.The monkey is twice as old as the dog.
That is, 2 × (2x) = 4x years old- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Calculating the total:Their total age is 4 years 2 months.
1 year has 12 months
=> 4 years have (4 × 12)
= 48 months
Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".
= 50 months
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solving for x:Sum of their ages = 50 months
=> x + 2x + 4x = 50
=> 7x = 50
=>x = 50/ 7 months
If we write this in mixed fractions the whole number will represent the number of years.
=
[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]
[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]
The value of 1/ 7 is really small,I.e., 0.1428...
So, we can ignore the fraction while rounding off the term that makes it
[tex] \mathsf{x = 7yrs.(approx.)}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Recall:x is the age of the cat.
The monkey's age is "4x"
= 4 × 7
= 28 years.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:So, the monkey's age is approximately 28 years
What is an equation of the line that passes through the point (4, −1) and has
slope −5?
Answers
Answer:
y + 1 = -5(x - 4)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (4, -1) → x₁ = 4, y₁ = -1
Slope m = -5
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - -1 = -5(x - 4)Simplify: y + 1 = -5(x - 4)Does anyone know this?
Answers
Answer:
i think c or b I D K
Step-by-step explanation:
What is the sum in 1 1/3+ 2 1/3 + 3 2/3 + 4 1/2 + 5 1/2 + 6 3/4
Answers
Answer:
17.999999999999999
Step-by-step explanation:
Answer:
25 and 1/12
1/3+1/3+2/3+1/2+1/2+3/4 = 4 and 1/12
6+5+4+3+2+1 = 21
Pahelp yawa T^T[tex]{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{5pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎︎︎︎︎︎ ︎︎︎︎︎︎︎︎[/tex]
pasagut 6-7 lang T^T
sabog na akow HAHAH
Answers
6-7
y < -1 -4
x > -4 y ≥+ 2
hope it helps
wait Lang SA 6-7
Answer:
ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok
-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answers
Given info: -17/2 < (-1/2) - 4x ≤ 15/2
Find the value of x ?
Explanation:↓
Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2
⇛ -17/2 < (-1-8x)/2 ≤ 15/2
On multiplying with 2 then
⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)
⇛ -17 < -1-8x ≤ 15
On adding 1 in the in-equation then
⇛ -17+1 < -1-8x+1 ≤ 15+1
⇛ -16 < -8x ≤ 16
On dividing by 8 in the in-equation then
⇛ -16/8 < -8x/8 ≤ 16/8
⇛ -2 < -x ≤ 2
⇛ 2 > x ≥ - 2
⇛ -2 ≤ x < 2
⇛ x € [-2,2)
Answer:→The solution set = { x : -2 ≤ x < 2, x€R }
The possible values of x = -2,-1,0,1
If you have any doubt, then you can ask me in the comments.