The possible length is 28cm and width is 23cm.
Rectangle is a two dimension figure with length and width.
Area of the rectangle is given by length × width.
Perimeter of the rectangle is given by 2 ( length + width ).
Given that dimension of a rectangular photograph is 24 × 19 cm.
So, Length of the rectangular photograph = 24 cm
Width of the rectangular photograph = 19cm
It is given that rectangular photograph is mounted on a card which has 2cm border all around.
Therefore, Length = 24cm + 2cm + 2cm = 28cm
Width = 19cm + 2cm + 2cm = 23cm.
Hence, the possible length so that the inner and outer rectangles are similar = 28cm
The possible width so that the inner and outer rectangles are similar = 23cm
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The possible length is 28cm and width is 23cm.
Rectangle is a two dimension figure with length and width.
Area of the rectangle is given by length × width.
Perimeter of the rectangle is given by 2 ( length + width ).
Given that dimension of a rectangular photograph is 24 × 19 cm.
Therefore, Length of the rectangular photograph = 24 cm and
Width of the rectangular photograph = 19cm
It is given that rectangular photograph is mounted on a card which has 2cm border all around.
Therefore,
Length = 24cm + 2cm + 2cm = 28cm
Width = 19cm + 2cm + 2cm = 23cm.
Hence, the possible length so that the inner and outer rectangles are similar = 28cm
The possible width for the inner and outer rectangles are similar = 23cm
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Find the distance between 4.5 and -1.4.?
Answer:
4.5-1.4=3.1
Step-by-step explanation:
Hope this answers your question!
If not, I am sorry.
Find magnitude of theta. Was told two major things are triangle angles equal 180 and alternate interior angles.
The measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have a diagram shown in the picture.
The measure of an angle is 30 degrees shown.
The triangle is a right-angled triangle
30-60-90
Two parallel lines are shown which are intersected by a transversal.
The adjacent angle is 60 degrees.
The measure of angle θ:
θ = 90 - 60
θ = 30 degrees
Thus, the measure of the angle θ is 30 degrees, or the magnitude of theta is 30 degrees.
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It takes 1.5 seconds for a grandfather clock's pendulum to swing from left (initial position) to right, covering a horizontal distance of 10 inches. which function models the horizontal displacement as a function of time in seconds?
The function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
How to model the function?The given parameters are:
Time, t = 1.5 secondsHorizontal distance, h = 10 inchesStart by calculating the amplitude, A using:
A = h/2
This gives
A = 10/2
A = 5
Next, we calculate the period using:
B = π/t
This gives
B = π/1.5
Evaluate
B = 2π/3
The pendulum is at the middle.
So, it has no vertical displacement
The function is then represented as:
y = Acos(Bx)
This gives
y = 5cos(2π/3 x)
Hence, the function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
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can you please help me !! I need help ASAP !!
Reason:
The line is going uphill as it moves to the right.
find x if 2+x = -2/3
NEED HELP ON THIS ASAP!!!!!!
Answer: Choice B (If you need to do questions like this in the future i recommend using the desmos graphing calculator online, inputting the equations and comparing them)
What is the period of the graph of y=1/2 sin (2x)-3?
A.3
B.2
C.1/2
D. Pi
The period of the y=1/2 sin (2x)-3 is 2.
We have given that,
y=1/2 sin (2x)-3
We have to determine the period
What is the period?
A period is the part of the menstrual cycle when a woman bleeds from her vagina for a few days.
Normally the period of sin(2x) is 2x, but the pi inside the sin(2x) is a horizontal compression by a factor of 1/pi.
So 2pi·1/pi = 2
The 1/2 and -3 do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.
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Answer:
It's actually D. Pi.
Step-by-step explanation:
I have no clue what the other guy was saying. The period of this graph is Pi or π.
The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar if Lynn exchanges 4,000 pesos for US dollars what was the approximate value in US dollars
Unit conversion is a way of converting some common units into another without changing their real value. The approximate value in US dollars is $210.53.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar. Therefore, we can write,
19 pesos = 1 dollar
1 pesos = 1/19 dollar
if Lynn exchanges 4,000 pesos for US dollars, then the approximate value in US dollars will be,
4,000 pesos = 4000/19 = 210.53 dollars
Hence, the approximate value in US dollars is $210.53.
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Help me pleas. You might have to zoom in on the picture to see better.
Answer:
1/2, -1/8, 1/32
Step-by-step explanation:
[tex] - 2( - \frac{1}{4} ) = \frac{1}{2} [/tex]
[tex] \frac{1}{2} ( - \frac{1}{4} ) = - \frac{1}{8} [/tex]
[tex] - \frac{1}{8} ( - \frac{1}{4}) = \frac{1}{32} [/tex]
Match each logarithmic equation with its equivalent exponential equation. Drag the tiles to the correct boxes. Not all tiles will be used.
Answer:
Step-by-step explanation:
[tex]log_{b}a=c = > b^c=a\\ln(a) = > log_{e}a=c = > e^c=a\\log(a) = > log_{10}a=c = > 10^c=a[/tex]
[tex]log(1000) = 3 = > =10^3 =1000\\ log_{5}(25)=2 = > 5^2=25\\log_{12}144=x = > 12^x=144\\ln(12) =x = > e^x=12[/tex]
sqrt(32x^3) - sqrt(16x^3) + root(4,x^3) -sqrt(2x^3)
An expression is defined as a set of numbers, variables, and mathematical operations. The simplified version of the given expression is (3√2-2)√x³.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression [tex]\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}[/tex] can be simplified as shown below.
[tex]\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}\\\\=\sqrt{x^3}(\sqrt{32}-\sqrt{16}+\sqrt{4}-\sqrt{2}})\\\\= \sqrt{x^3} (4\sqrt{2}-4+2-\sqrt2)\\\\= \sqrt{x^3} (3\sqrt{2}-2)[/tex]
Hence, The simplified version of the given expression is (3√2-2)√x³.
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What is the value of y?
Enter your answer in the box.
Answer:
5
Step-by-step explanation:
As seen in the figure, we know that because ΔABC is isosceles, ∠B = ∠C, so we know that 75 = 3x, x = 15. Next, following the rule that all angles in a triangle sum to 180°, we can set up this equation and solve it:
4y + 10 + 75 + 75 = 180
4y = 180 - 160
y = 20
∴ y = 5
What is the equivalent exponential expression for the radical expression below? √3+7
Answer:
09 l
Step-by-step explanation:
p0-9
The equivalent exponential expression for the given radical expression √(3 + 7) is √10.
To convert the given radical expression √(3 + 7) into its equivalent exponential expression. This process involves using exponentiation to represent the radical form.
The given radical expression is √(3 + 7). To find its equivalent exponential expression, we need to express the radical in terms of an exponent.
Recall that a radical expression of the form √(a) is equivalent to raising 'a' to the power of 1/2. In this case, 'a' is the quantity inside the radical, which is 3 + 7. So, we can write:
√(3 + 7) = (3 + 7)^(1/2).
Next, we simplify the expression inside the parentheses:
3 + 7 = 10.
Now, the expression becomes:
(10)^(1/2).
To further simplify, we raise 10 to the power of 1/2. Recall that raising a number to the power of 1/2 is the same as finding the square root of that number. So:
(10)^(1/2) = √10.
Therefore, the equivalent exponential expression for the given radical expression √(3 + 7) is √10.
To summarize, we transformed the radical expression √(3 + 7) into its equivalent exponential expression √10 by using the rule that √(a) is equal to a^(1/2). By raising the expression inside the radical to the power of 1/2, we simplified it and found the square root of 10 as the final result.
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[tex] {2}^{5} \div 4 = {2}^{5} \div {2}^{a} = {2}^{b} = c [/tex]
What Does:
a= ?
b= ?
c= ?
Step-by-step explanation:
please mark me as brainlest
En una clase hay 30 alumnos. Las 3/5 partes son chicas ¿Cuántas chicas hay?
Answer:
18
Step-by-step explanation:
30/5=6
6*3=18
Principal: $4,000 at 6% for a) 4 years, b) 4 months, and c) 4 days.
Answer:
If you're asking for the interest:
a) 960
b) 80
c)2.63 approx.
Step-by-step explanation:
interest = principal x rate x time OR [tex]I = prt[/tex]
TIME IS IN YEARS.
Thus, the first would be [tex]I = 4000 *4 *6%[/tex]% = 960
Second: 4 months = [tex]\frac{1}{3}[/tex] year
I = 4000x[tex]\frac{1}{3}[/tex]x6% = 80
Third: t = 4 days =[tex]\frac{4}{365}[/tex]year
I = 4000x6%x[tex]\frac{4}{365}[/tex] ≈ 2.63
Work out the surface area of this cylinder...
Give your answer in terms of л.
Answer:
Step-by-step explanation:
Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
How to depict the information?Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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Answer:
5p, 5p, 10p, 10p, 20p
Step-by-step explanation:
5p, 5p, 10p, 10p, 20p,
help the question is on the image.
Answer:
[tex]\boxed {tan\theta = \frac{2}{3}}[/tex]
Step-by-step explanation:
Let's derive a formula :
⇒ Area (triangle) × 3 = Area (square)
⇒ 1/2(bh) × 3 = a²
∴ But a = h (shown in diagram)
⇒ 3/2(bh) = h²
⇒ h = 3b/2
Now, taking tan θ :
⇒ tan θ = b/h
⇒ tan θ = b/(3b/2)
⇒ tan θ = 2b/3b
⇒ tan θ = 2/3
The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.
A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200.
Which is the marginal relative frequency for the people who do not like cantaloupe?
StartFraction 25 Over 91 EndFraction
StartFraction 66 Over 200 EndFraction
StartFraction 91 Over 200 EndFraction
StartFraction 66 Over 91 EndFraction
The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/
The correct option is (C),
What is Marginal Relative frequency?Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.
Given:
Watermelon Not watermelon Total
Cantaloupe 93 16 109
Not cantaloupe 66 25 91
Total 159 41 200
Hence, the Marginal Relative frequency is = 91/200 = 0.455
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I’m having trouble understanding how to solve this someone please help ASAP thank you!
Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.
A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it
turn when it changed direction? Show your work.
Answer:
Answer is 71.95°
Step-by-step explanation:
Cosine formula is
a^2=b^2+c^2-2bc(cosA)
cos A =b^2+c^2-a^2/2bc
if a= 119,b=94,c=173
cos A=94^2+173^2-119^2/2(94*173)
=8836+29,929-14,161/2(16,262)
=38765-14,161/32,524
=24604/32,524
=0.7564
cos A=0.7564
cos^-1=40.85°.that's for angle A.
Using the same formula
B=31.1°
C=180-(40.85+31.1)
C=180-71.95
C=108.05
Since angle on a straight line is 180
therefore x is 71.95
Also the sum of angles A and B
What are the vertex, focus, and
directrix of the parabola with
equation y-6=2(x-4)²?
Answer:
vertex (2,6)focus(49/8,2)directrix y=47/8Please help me with this one question ASAP
Answer:
the red parallelogram had x=6
for the blue one, other sides values must be known which is not in the picture
Step-by-step explanation:
divided it by 7 and added
divided it by 7 and added 25. the result was 34 what was my number?
25. the result was 34 what was my number?
Answer:
your questions is not clear but from my observations
let the number be x
x/7+25=34
x+175/7=34
x+175=238
x=238-175
×=63
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Which pairs of angles in the figure below are vertical angles?
Check all that apply.
[ ISN} and {TSW} so the answer is D
Select the correct answer.
What is √x^9y^4
in simplest form?
Answer:
x^3y^2
Step-by-step explanation:
[tex]\sqrt{x^9y^4}\\ =\sqrt{x^9}\sqrt{y^4}\\ = x^3y^2[/tex]
Hi, can someone help please? Thanks! Calculate the correlation coefficient of the following data
Answer:
Option C is correct
Correlation coefficient of the following data is 0.37
Step-by-step explanation:
Correlation coefficient formula :
r = Σ [([tex]x - x_{m}[/tex]) × ([tex]y - y_{m}[/tex])] ÷ √ [Σ [tex](x - x_{m})^{2}[/tex] × Σ [tex](y - y_{m}) ^{2}[/tex]]
x = Data points in Data set x
y = Data points in Data set y
[tex]x_{m}[/tex]= Mean of Data set x
[tex]y_{m}[/tex]= Mean of Data set y
Now put all the values and sumation it as of given in the formula
Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2
Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4
Now put the values in the equation
r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ [tex](x - 4.2)^{2}[/tex] × Σ [tex](y - 16.4) ^{2}[/tex]]
Now put every single value of x and y and after we will get the required Correlation coefficient.
And that is Correlation coefficient of the following data is 0.37
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Determine the length
The length of KI is 10 cms.
What is Length?The skill of measuring the lengths of objects and understanding the units of length is very crucial as it helps us to interact with our environment in a more organized manner.
Here, ΔRJS ≈ Δ IJK
then JR / JI = SR/KI
1/2 =5 /ki
kI = 5 X 2
kI = 10 units.
Thus, The length of KI is 10 cms.
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PLEASE HELP (PRE-ALGEBRA) MULTIPLE CHOICE! WILL GIVE BRAINLEIST! (photo attached!)
If the triangle on the grid below is translated by using the rule (x,y) → (x−2.y+2), what will be the coordinates of A'?
(4,0)
(0,4)
(0,0)
(-2.2)
Answer:
(-4, 0)
Step-by-step explanation:
x-2 means ur gonna take coordinate A and move it back 2 places along the x axis, (-4,-2) and then y+2 means ur gonna go up to places alomg the y axis which brings coordinate A' to (-4,0)
Answer:
A'(-4, 0)
Step-by-step explanation:
(x, y) → (x - 2, y + 2)
A(-2,-2 )→ A'(-2-2,-2+2)
= A'(-4,0)
6. Which equation has a slope of - 7 and contains
(-2,-2) ?
A. y-2=-2(x-7)
B. y + 2 = 7(x-2)
C. y-2=-7(x + 2)
D. y + 2 = 7(x + 2)
Answer:
so there is no answer in choice
Step-by-step explanation:
y=mx+b
so we have m,y and x so we have to find b
-2=-7×-2+b
b=-16
so y=-7x-16
the answer should be
y+2=-7(x+2)
