Answer:
A:C = 9:20
Step-by-step explanation:
The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures. If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)². Therefore,
(A/B )² = 9/16
square root both sides
A/B = √9/√16
A/B = 3/4
A:B = 3:4
The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures. Therefore,
(B/C)³ = 27/125
cube root both sides
B/C = 3/5
B:C = 3:5
To make the ratio equivalent
A:B:C = 9:12:20
A:C = 9:20
quadratic function. *
yo
3x +2
u
there is your answer yo3x + 2u
There are 5 gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.
If the first gear is rotating clockwise, what direction is the fifth gear turning?
Answer:
fifth gear is also rotating clockwise
Find the value of x in these right-angled triangle, correct two decimal places A=20 B=7
Answer:
There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]
Step-by-step explanation:
Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:
1) A is the hypotenuse
[tex]20^{2} = 7^{2} + C^{2}[/tex]
[tex]C^{2} = 20^{2}-7^{2}[/tex]
[tex]C = \sqrt{20^{2}-7^{2}}[/tex]
[tex]C \approx 18.74[/tex]
2) A is not the hypotenuse
[tex]C^{2} = 20^{2} + 7^{2}[/tex]
[tex]C = \sqrt{20^{2}+7^{2}}[/tex]
[tex]C \approx 21.19[/tex]
A new car is purchased for 24000 dollars. The value of the car depreciates at 15% per year. To the nearest tenth of a year, how long will it be until the value of the car is 10000 dollars
The value of the car will be $10000 after 2.5 years
The cost price of the car = $24000
Rate of depreciation, r = 15%
r = 15/100
r = 0.15
The final value of the car after depreciation, A = $10000
To get the time for depreciation, use the formula below and solve for t
[tex]A=P(1-r)^t[/tex]
Substitute P = 24000, A = 10000, and r = 0.15 into the equation above
[tex]10000=15000(1-0.15)^t\\\\\frac{10000}{15000} = 0.85^t\\\\0.85^t=0.67\\\\t (ln0.85)=ln0.67\\\\-0.163t=-0.4\\\\t=\frac{-0.4}{-0.163} \\\\t=2.5[/tex]
The value of the car will be $10000 after 2.5 years
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State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No
Answer:
Yes
Step-by-step explanation:
since it is being multiplied by -3 each time its geometric
The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?
Answer:
The coordinates of B is (5,-2)
Step-by-step explanation:
In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :
[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Let (x1,y1) be A (-3,-6),
Let (x2,y2) be B,
Let midpoint be M (1,-4),
[tex](1, - 4) = (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )[/tex]
[tex]by \: comparison, \: [/tex]
[tex] \frac{ - 3 + x2}{2} = 1[/tex]
[tex] - 3 + x2 = 2[/tex]
[tex]x2 = 5[/tex]
[tex] \frac{ - 6 + y2}{2} = - 4[/tex]
[tex] - 6 + y2 = - 8[/tex]
[tex]y2 = - 2[/tex]
If f(5) = 2(5) - 7, which function gives f(x)?
Answer:
f(x) = 2x-7 is the function
Answer:
f(x) = 2x-7 is the function
Step-by-step explanation:
A triangle has side lengths of 13, 9, and 5. Is this a right triangle?
Answer:
no
Step-by-step explanation:
a^2+b^2 = c^2
Keith is using 12 brown and 8 white tiles to design a section of an outdoor patio for his home. Which ratio compares the number of brown tiles to total number of tiles in the section?
Answer:
8 : 20
Step-by-step explanation:
This would be 8 : 20 because all together their are 20 tiles and it is only asking for the brown tiles. So you add (the brown tiles) : (overall amount)
which expression is equivalent to StartFraction (2 m n) Superscript 4 Baseline Over 6 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0
A.( 8m^7 * n^6)/3
B.(10m^7 * n^6)/3
C.(8m^16 * n^12)/3
D.(m^4 * n^6)/3
Answer: A.
Step-by-step explanation:
5:3. If there are 18 more boys than girls, work out how many people there are in total.
Answer:
72
Step-by-step explanation:
Since there are 18 more boys than girls, we know that in the ratio 5:3, 5 is for boys and 3 is for girls.
Now, we can set up a proportion to first find the number of girls.
Let's name the number of girls x.
The number of boys is x+18.
3/5=x/x+18
Cross multiply.
5x=3(x+18)
Distribute.
5x=3x+54
Subtract 3x from both sides.
2x=54
Divide both sides by 2.
x=27
There are 27 girls.
We know that there are 18 more boys that girls.
27+18=45
There are 45 boys.
Add the number of boys and girls together to find total number of people.
27+45=72
There are 72 people in total.
1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR
Answer:
1. The amount that was not spent is: 1080 soles
2. The answer is 5.
Step-by-step explanation:
Question 1. There are two situations:
If you spent 5/8 of the money then notice, that u did not spend 3/8.
If you spend 2/5 of the money, then you would have 72 more.
So think, this equation:
3/8x + 72 = 2/5x
2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.
72 = 2/5x - 3/8x
72 = 1/40x
x = 2880 soles
As you did not spend 3/8 of 2880, the answer is 1080 soles
Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.
Question 2.
We think letters for this excersise.
N = My born year
2020 (this year) - N = E (my age, now)
So N + 10 = when I get 10 years old
N + 20 = when I get 20 years old
N + 30 = when I get 30 years old
N + 40 = when I get 40 years old
The problem says:
(N+10) + (N+20) - (N+E) = 2020
((N+30)+E) - (N-40) = X
So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:
((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020
No minus in the first two terms, so we can break the ( )
2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020
We apply the distributive property for the second term
2020-E+10 + 2020-E+20 - 2020+E-E = 2020
We can cancel two E, and the 2020, so the new form will be:
2020 - 2E + 30 = 2020
We can also cancel the 2020, so if we reorder the equation, we have:
-2E = -30
E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)
Look:
(2005 + 10) + (2005+20) - (2005+15) = 2020
So now, the last part
((2005+30)+15) - (2005+40) = 5
Work out the circumference of the circle with radius 2.5 cm
Circumference = 2πr
~plug 2.5 centimeters in for r
C = (2)(π)(2.5 cm).
C = 5π cm
How to convert a decimal to a fraction
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
hope it helps
Helppppppppppppppppppppppp
Answer:
JK
Step-by-step explanation:
Answer:it might be the last on if right please mark as brainliest
Step-by-step explanation:
Find the measure of the reference angle for each given angle. Part 2
13. θ = -160°
14. θ = 345°
15. θ = =130°
Answer:
13. 20°
14. 15°
15. 50°
Step-by-step explanation:
Please see the attached pictures for full solution.
For negative angles, the arrow turns clockwise.
Answer:
13. 20°
14. 15°
15. 50°
Step-by-step explanation:
From a mathematical point of view, the reference angle is the smaller of α and (180°-α), where α = θ mod 180°.
That is, add or subtract multiples of 180° until the result is in the range 0–180°. Then choose the smaller of the angle and its supplement.
It is convenient to let a spreadsheet calculate these when you have a bunch of them.
__
From a geometrical point of view, the reference angle is the positive angle between the terminal ray and the nearest x-axis.
__
For the angles here, the reference angles (in degrees) are shown in the attachment.
Which histogram represents a set of data that is left-skewed? A graph shows the horizontal axis numbered 56 to 126. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 56 to 77 then a downward trend from 77 to 119. A graph shows the horizontal axis numbered 60 to 114. The vertical axis is numbered 1 to 4. The graph shows a downward trend from 60 to 72, an upward trend from 72 to 84, then a downward trend from 84 to 108. A graph shows the horizontal axis numbered 351 to 1,287. The vertical axis is numbered 2 to 6. The graph shows an upward trend from 1 to 1,053 then a downward trend from 1,053 to 1,701. A graph shows the horizontal axis numbered 252 to 1,260. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 630, a downward trend from 630 to 756, an upward trend from 756 to 882, then a downward trend from 882 to 1,341.
Left skewed histograms are shown by the left tail , smaller values, being longer then the right tail, larger values.
The answer is: A graph shows the horizontal axis numbered 351 to 1,287. The vertical axis is numbered 2 to 6. The graph shows an upward trend from 1 to 1,053 then a downward trend from 1,053 to 1,701
Answer:
A
Step-by-step explanation:
EDGE 2021
The graph of y = |x| is shifted up by 4 units and to the right by 5 units.
What is the equation of the new graph?
Answer:
Step-by-step explanation:
The equation of the new graph is y =|x - 5| + 4|
The new equation of the graph is y = |x-5| + 4 which is determined by shifting up by 4 units and to the right by 5 units for a given function.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The equation of the graph of y = |x| can be transformed by shifting it up by 4 units and to the right by 5 units. To do this, we add 4 to the y-coordinate and add 5 to the x-coordinate. The new equation of the graph is y = |x-5| + 4
This equation can be understood by considering the function of absolute value:
y=|x| is a function that returns the absolute value of x.
and
y=|x-5| + 4 is a function that returns the absolute value of (x-5) and then adds 4 to it.
In other words, the new graph is the same as the original one but with x coordinate shifted right by 5 units and the y coordinate shifted upward by 4 units.
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The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 10 buses with 258 students. High School B rented and filled 8 vans and 5 buses with 264 students. Each van and each bus carried the same number of students.How many students can a van carry? How many students can a bus carry?
Answer:
The van holds 18 students
The bus holds 24 students
Step-by-step explanation:
v = van b = bus
High School A
1v+10b = 258
High School B
8v+5b = 264
Multiply the second equation by -2
-16v - 10b = -528
Add this to the first equation
-16v - 10b = -528
1v+10b = 258
---------------------------
-15v = -270
Divide each side by -15
-15v/-15 = -270/-15
v =18
The van holds 18 students
Now we need to find the number the bus holds
1v+10b = 258
18 + 10b = 258
Subtract 18 from each side
18-18+10b = 258-18
10b=240
Divide each side by 10
10b/10 =240/10
b = 24
The bus holds 24
Answer:
Van: 18
Bus: 24
Step-by-step explanation:
V + 10B = 258
V = 258 - 10B
8V + 5B = 264
8(258 - 10B) + 5B = 264
2064 - 80B + 5B = 264
75B = 1800
B = 24
V = 258 - 10(24) = 18
Describe two methods that can be used to find the area of the composite figure.
Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.
Area of the composite figure can be find by using additive areas method and subtractive areas method
What is Composite figure?Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle
What is Area ?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Area of the composite figure can be find by using two methods,
Additive areas method and Subtractive areas method
In Addictive areas method
Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes togetherIn Subtractive areas method
Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.Hence, the area of the composite figure can be find by using additive areas method and subtractive areas method
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At the end of a snow storm, Caroline saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Caroline's lawn, in inches, can be modeled by the function S(t)=-0.75t+15,S(t)=−0.75t+15, where tt is the time, in hours, after the snow stopped falling. What is the slope of the function and what is its interpretation in the context of the problem?
Answer:
-15
Step-by-step explanation:
How can you determine if a point is a solution to a system of linear equations?
Please Help!
Answer:
You can substitute the x value of coordinate (x,y) in the equation. If the outcome = the y value in the coordinate (x,y), then you have determined it to be on the system of linear equations.
Step-by-step explanation:
Point P has a coordinates: ( Px , Py ).
You can choose which value is easy to substitute. Eighter start with the Py or you could start with the Px. It could save you time if you pick the right one for the job.
If you want to verify if any point is valid in any (linear) equation(s), you can:
a) substitute the x value of coordinate (x,y) in the equation, and if the outcome has the same value as y in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
b) substitute the y value of coordinate (x,y) in the equation, and if the outcome has the same value as x in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
Answer:
You can substitute the x value into the equation if the answer for y is the same for the y coordinate you will have your answer.
Step-by-step explanation:
Monique bought a shirt for $22.80 during a 30% off sale. How much does the shirt cost when it is not on sale?
Answer:
29.64
Step-by-step explanation:
First we multiply 0.3 with 22.8.This will give us 6.84 which is the 30% off.Now we add 22.80 and 6.84 and we will get our answer 29.64.
Answer:
22.80/100% ?/30%
Step-by-step explanation:
100/10=10*3= 30 %
22.8/10=2.28*3=6.84
22.80-6.84=15.96
$ 15.96 But with out the discount it cost and adding 30 % to the price it will be $29.64.
I kinda did something wrong that i didn't notice.
factorise : x^2y^2-16
Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)
What is the missing exponent in the equation 2? = 16?
I did it wrong don’t look at mine it’s 4
Help I do not understand
Find the midpoint of the segment with the following endpoints. (6,8) and (10,4)
Answer:
(8.6)
Step-by-step explanation:
To find the x coordinate of the midpoint, find the average of the x coordinates
(x1+x2)/2 = (6+10)/2 = 16/2 = 8
To find the y coordinate of the midpoint, find the average of the y coordinates
(y1+y2)/2 = (8+4)/2 = 12/2 = 6
Answer:
(8,6)
Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>
Can you please help me with this question please please help me
Answer:
i think the answer is [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \geq \neq \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \leq x_{123} \\\int\limits^a_b {x} \, dx[/tex]
Step-by-step explanation:
[tex]x^{2} \int\limits^a_b {x} \, dx \sqrt{x} \sqrt[n]{x} \frac{x}{y} \alpha x_{123}[/tex]
what is the fraction, 64/388 simplified?
Answer:
the answer is 16/97
Find the area of the shape shown below.
12
4
The answer to this question is 32
Answer:
32
Step-by-step explanation:
