Answer:
Explanations (4) Similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other, like these triangles ABC and DEF. Since all circles are of the same shape (they only vary by size), any circle can be scaled to form any other circle. Thus, all circles are similar!
Step-by-step explanation:
Welcome
A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
a.show that it’s height h cm is given by h =300- pi r /pi r
Answer:
Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π[tex]r^{2}[/tex] )/πr to be the equation for height.
Step-by-step explanation:
The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π[tex]r^{2}[/tex], for a total of 2π[tex]r^{2}[/tex]. The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.
The total surace area of a closed cylinder is therefore 2π[tex]r^{2}[/tex] + 2πrh.
2π[tex]r^{2}[/tex] + 2πrh = 600
π[tex]r^{2}[/tex] + πrh = 300
πrh = 300 - π[tex]r^{2}[/tex]
h = (300 - π[tex]r^{2}[/tex] )/πr
Last year, Robert grew 3 1/3 inches and his brother grew 1 2/3 inches. How much more did Robert grow than his brother?
When it says "how much more", it means to find the difference between the siblings' growth by subtracting their growths.
Step 1: Convert both mixed numbers to improper fractions
[tex]3\frac{1}{3}- 1\frac{2}{3}[/tex] Learn how to do that here: https://brainly.com/question/13099965
[tex]3\frac{1}{3}\\\\3\times3=9\\9+1=10\\\\\frac{10}{3}[/tex]
[tex]1\frac{2}{3}\\\\3\times 1 = 3\\3 + 2 = 5\\\\\frac{5}{3}[/tex]
[tex]\frac{10}{3} - \frac{5}{3}[/tex]
Step 2: Subtract
10 - 5 = 5
[tex]\frac{5}{3}[/tex] or [tex]\bold {1\frac{2}{3}}[/tex]
Therefore, Robert grew [tex]\bold {1\frac{2}{3}}[/tex] more than his brother.
Quis
Jika
A= 2
B= 3
D=2
maka
A x B ÷C
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Answer:
A= 2
B= 3
D=2
maka
A x B ÷C
2 x 3 ÷ 2
=6 ÷ 2
=3
Q is a degree 5 polynomial that passes through the origin, has zeros i and 7 - i, and q(-1)= -520. find the equation for q
Using the factor theorem, the equation for q is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, ..., x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
Passes through the origin, so x = 0 is a zero, that is [tex]x_1 = 0[/tex].x = i is a zero, and thus, it's conjugate also is, that is, x = -i, hence [tex]x_2 = i, x_3 = -i[/tex]x = 7 - i is a zero, and thus, it's conjugate also is, that is, x = 7 + i, hence [tex]x_4 = 7 - i, x_3 = 7 + i[/tex]Then, the equation is:
[tex]q(x) = a(x - 0)(x - i)(x + i)(x - 7 + i)(x - 7 - i)[/tex]
[tex]q(x) = ax(x^2 - i^2)((x-7)^2 - i^2)[/tex]
Considering that [tex]i^2 = -1[/tex]
[tex]q(x) = ax(x^2 + 1)(x^2 - 14x + 50)[/tex]
[tex]q(x) = ax(x^4 - 14x^3 + 51x^2 - 14x + 50)[/tex]
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
q(-1) = -520 means that when [tex]x = -1, q = -520[/tex], and this is used to find a.
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
[tex]-520 = a(-1 - 14 - 51 - 14 - 50)[/tex]
[tex]130a = 520[/tex]
[tex]a = \frac{520}{130}[/tex]
[tex]a = 4[/tex]
Hence, the equation is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
A similar problem is given at https://brainly.com/question/24380382
What is the product?
(4x) {-3x^8}{-7x^3}
Answer:
[tex]84x^{12}[/tex]
Step-by-step explanation:
Step-by-step explanation:
[tex](4x)( - {3x}^{8} )( - {7x}^{3} ) \\ (4 \times - 3 \times - 7)( {x}^{} \times {x}^{8} \times {x}^{3} ) \\ (81)( {x}^{ 1 + 8 + 3} ) \\ 81 {x}^{12} [/tex]
28. Katrina buys a 64-ft roll of fencing to
make a rectangular play area for her dogs.
Use 2(1 + w) = 64 to write a function for the
length, given the width. Graph the function.
What is a reasonable domain for the situation?
Explain.
Answer:
Step-by-step explanation:
The reasonable domain for the function 2 ( l + w ) = 64 is:
5, 10, 15, 20, and 25
The graph of the function 2 ( l + w ) = 64 is given below.
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
A function of the perimeter of a rectangle:
2 ( l + w ) = 64
Here,
l = length and w = width
We need to find the value of length and width such that the perimeter of the rectangle is 64.
Now,
2 ( l + w ) = 64
l + w = 32
This means the combined measure of length and width must give us 32.
We need to write as a function for length where width is given.
We can assume the width to be: 5, 10, 15, 20, and 25.
Now,
l + 5 = 32
l = 27
l + 10 = 32
l = 22
l + 15 = 32
l = 17
l + 20 = 32
l = 12
l + 25 = 32
l = 7
We consider,
Width = 5, 10, 15, 20, and 25 to be the domain.
Length = 27, 22, 17, 12, and 7 to be the range.
We consider width values as the x-axis and length values as the y-axis.
The graph is given below.
Thus the reasonable domain for the situation given above is:
5, 10, 15, 20, and 25
The graph of the function 2 ( l + w ) = 64 is given below.
Learn more about functions here:
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p(x) = 4x
i need the linear function, and how to graph it
Step-by-step explanation:
well, that's the graph. I hope it helps.
x can be any number, just substitute the value of x chosen into the linear function and get the corresponding p(x) value
like, say x=2, p(x)=4(2)=8. locate the points (2,8) on the graph paper and mark them. continue to do this for more values of x.
Izzati, Ai Ling, Rina and Susan share some stamps. Izzati and Ai ling take 1/4 and 1/8 of the total number of stamps respectively. After that, Rina takes 7/10 of the remaining stamps. Eventually, all the remaining stamps are taken by Susan. If Susan gets 42 stamps, find the total number of stamps originally.
Step-by-step explanation:
Assuming that the total stamp is x
According to the question
Izzati's stamps is 1/4
Ailing's number of stamps is 1/8
X= 1/4 x 1/8 = 5/8 - the remaining stamps.
Rina’s number of stamps is 7/10 x 5/8 = 35/80 x
5/8 x 35/80 = 15/80 - (Susan's stamps)
According to the question
15/80 = 42
X: 224
the total number of stamps originally is 224.
what is 20/25 as a percent
Answer:
80%
Step-by-step explanation:
Can anyone help me ?
Answer:
x=7.5
Step-by-step explanation:
15÷2=7.5
helpppppppppppppppppppppppppppppppppppppppp
Answer:
12/12=1
2.5/2.5=1
5/_=1
mysterty number is 5
5.5./_=1
mystery number is 5
Step-by-step explanation:
P=[−3610−4] , Q=[−2571] , R=[4−20813]
Given the three matrices above, evaluate P+Q.
P+Q=[acbd]. Find the values of a, b, c, and d.
Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]
The values of a, b, c and d is determined by the addition of matrices P and Q, that is:
[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
We have that the matrices are:
[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]
[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]
Then:
[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]
Finally:
[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
Thus, the values are:
[tex]a = -5, b = 8, c = 11, d = -3[/tex]
A similar problem is given at https://brainly.com/question/24810141
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
if maria earned $60 in interest over a 4 year period at a 4% simple annual interest how much did she originally deposit in savings
formula for interest=principle×rate×time/100
60=x×4×4/100
60=16x/100
16x=6000
x=375
Answer:
C. $375
Step-by-step explanation:
By which rule are these triangles congruent
A. AAS
B. ASA
C. SAS
D. SSS
Answer:
option D
Step-by-step explanation:
this trianle will be congurent by SSS method easily
Answer:
Option D.SSS These triangles congruent with SSS property
how many millimeters (mm) are found in each centimeter (cm) on a ruler?
1000 millimeters are found in centimeters
what is the answer to this
-11 - (-3)
Answer:
-8Step-by-step explanation:
-11 - (-3) =(-11) + 3
-8
Answer:
=−8
Step-by-step explanation:
=−11−(−3)
=−11+3
=−8
Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y-4=-2(x+3) .
Answer:
y - 3 = 1/2(x - 2)Step-by-step explanation:
The given line has a slope of -2.
The perpendicular line will have a negative-reciprocal slope:
m = 1/2Use same point-slope form and the point P(2, 3):
y - y₁ = m(x - x₁)y - 3 = 1/2(x - 2)[tex]\\ \sf\longmapsto y-4=-2(x+3)[/tex]
Here slope is -2
The perpendicular line have additive and multiplicative inverse slopem=1/2
Put co-ordinates of P in equation
[tex]\\ \sf\longmapsto y-3=\dfrac{1}{2}(x+2)[/tex]
A school had 180 boys and 240 girls attending
(a) What is the ratio of boys to girls?
(b) What is the ratio of girls to boys?
(c) What is the ratio of students to boys?
(d) What is the ratio of girls to students?
Answer:
a. ratio is 180:240
B. ratio is 240:180
C. ratio is 420:180
d. ratio is 240:420
Hope this helps!!
Write a linear equation that passes through pairs would be perpendicular to the equation the point (2, -9) and has a slope of -5 in y = 4x - 1?
A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…
Answer: y = -3/4x - 15/2
Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b
-9 = -1.5 + x
x = -15/2
What is the value of x in the equation 3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = 2
So the value of x is 2
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $12. If Hiroto buys e-books and y paperback books which of the following equations best models the situation?
The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68
The following information can be gotten from the question:
Total amount spent on e-books and paperback = $68
Cost of e-book = $5 each.
Cost of paperback = $12 each
Number of e-books = x
Number of paperbacks = y
Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:
= 5(x) + 12(y) = 68
5x + 12y = 68
The equation will be 5x + 12y = 68
Read related link on:
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Which graph shows the solutions to |x − 2| = 2 ?
Answer:
I think that the answer is B.
Step-by-step explanation:
go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.
Two numbers are in the ratio 7: 4 . If they differ by 15 ,the numbers are
Lets take 7:4 be 7x and 4x
7x - 4x = 15
3x = 15
x = 5
______________________________
7x = 7 × 5 = 35
4x = 4 × 5 = 20
PLEEASEEE HELP WILL MARK BRAINLIEST IF CORRECT
Which table is a probability distribution table?
1. X Blue Orange Green Purple
P 0.3 0.4 0.5 —0.2
2. X Blue Orange Green
Green Purple
P 0.6 0.05 0.05 10.3
3. X Blue Orange Green
Green Purple
P -1 1 1 0
4. X Blue Orange Green Purple
P 0.4 0.4 0.2 10.1
Answer:
I believe it is C
Step-by-step explanation:
sorry if I'm wrong I'm not sure
Table (2) is a probability distribution table.
What is probability?Probability is the possibility of happening an event.
Note the probability can never be negative, therefore, discard the tables with negative values.
Hence, table (1) and table (3) cannot be probability distribution tables.
Now, the sum of all probabilities in a probability distribution is always 1.
The sum of probabilities in the table (2) is:
0.6 + 0.05 + 0.05 +0.3
=1.0
And, the sum of probabilities in the table(4) is:
0.4 + 0.4 + 0.2 + 0.1
=1.1
Therefore, table (2) is a probability distribution table.
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Can someone help me?
Answer:
I'm not sure from my answer but I'm going to try
A = { a^2 - 4 = 0 }
A = { a^2 = 0+ 4 }
A = { a^2 = 4}
Take root of both sides
A = {a = 2}
A = {2}
B = { -2, -1, 0, 1, 2}
C = { 1, 2, 3, 4, 5, 6,7}
i) A\B
= {2} \ {-2,-1,0,1,2}
= ⌀ ( "null set" )
ii) (A\B) \C
= ( {2} \ {-2,-1,0,1,2} ) \ C
= ⌀ \ C
= ⌀ \ { 1, 2, 3, 4, 5, 6,7}
= ⌀ ( "null set" )
iii) (A ∪ B) \ C
= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C
= { -2, -1, 0, 1, 2} \C
= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}
= { -2, -1, 0 }
iv) ( A\B) ∩ ( A\C)
= ( { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )
= ⌀ ∩ ⌀
= ⌀
v) ( A ∩ B ) \ C
= ( { 2 } ∩ { -2, -1, 0, 1, 2 } ) \ C
= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }
= ⌀ "null set"
where will the hand of a clock stop if it start at 2 and make 1 by 4 of a Revolution clockwise
Answer:
At 5 o'clockStep-by-step explanation:
Staring point = 2 o'clock
The travel is 1/4 of 12 hour full revolution:
1/4*12 = 3 hoursPoint to stop is the start point plus the travel:
2 + 3 = 5refer to the attachment
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answer:
41 inches of wire will cost 164 cents.
Step-by-step explanation:
1st Method
Use proportions!
18/ 72 = 41/ c
Cross multiply
18 * c = 72 * 41
18c = 2952 divide both sides by 18
c = 164
2nd Method.
Find the rate of the costs. r = rate
18*r = 72
r = 4 cents/inch
Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!
41 inch * r (cents/inch) inches cancels out.
41 * 4 = 164
164 cents
What are the y-intercept and the slope of the graph of the
following equation?
-2x + 4y = 8
Answer:
slope=2/4 or 1/2
Y-Intercept=8
Step-by-step explanation:
-2x+4y=8
+2x both sides
4y=2x+8 /4
y=2/4x+8
Slope=2/4 or 1/2
Y-Intercept=8
-11-10-9
show steps for your answer
Answer:
-11-10=-21
-21-9= -30