Answer:
P = 48 in²
Step-by-step explanation:
Given: A rectangle; Width = 9 inches, length = 15 inches, enlarged by a scale factor of [tex]\frac{3}{2}[/tex]
To find: Perimeter of the dilated rectangle
Formula: [tex]P=2(l+w)[/tex]
Solution: After a dilation with a scale factor of one-half, then the lengths on the image would be one-half , one-half , and one-half . To find the perimeter of an enlarged figure, you can multiply the original figure's perimeter by the scale factor.
[tex]P=2(l+w)=2[/tex] × [tex](15+9)=48in[/tex]
Therefore, the perimeter of the detailed rectangle that was enlarged is 48 in²
Answer:
it's 9in
Step-by-step explanation: i got it right on my test
Using the pattern, give the coefficients of (x + y)^5 and (x + y)^6
Answer:
[tex](x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]
[tex](x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex]
Step-by-step explanation:
In order to find the values of [tex](x+y)^5[/tex] and [tex](x+y)^6[/tex], you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).
[tex](x+y)^5[/tex] = [tex]\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i[/tex] = [tex]\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex] = [tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex].
[tex](x+y)^6[/tex] = [tex]\sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i[/tex] = [tex]\frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6[/tex]= [tex]x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex].
Work is apreciated! If you could at least include the formula also!
Answer:
184.5 ft³Step-by-step explanation:
Volume formula:
V = Bh/3, where B- area of the baseThe base is the pentagon, consisting of equal 5 triangles with the height of 4.1 ft and side of 6 ft.
Area of the base:
B = 5*1/2*6*4.1 = 61.5 ft²Volume:
V = 61.5*9/3 = 184.5 ft³4 3/4 + 1 3/4 = ? pls answer
Answer:
6.5
Step-by-step explanation:
dude you can search this up
6 1/4
convert both mixed numbers into improper fractions:
multiply the denominator by the whole number and then add the numerator to convert into a improper fraction
4 3/4 = 18/4
1 3/4 = 7/4
then add the two numerators together
the denominator stays the same
18/4 + 7/4 = 25/4
then convert back into a mixed number:
find how many times 4 goes into 25; that's the whole number in your mixed fraction. The remainder is the numerator.
Since 4 goes into 25 6 times and has a remainder of 1, your answer is 6 1/4
4% of 18what's 4% of
18
Answer:
0.72%
Step-by-step explanation:
Step-by-step explanation:
hope it is helpful to you
Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
Answer:
THE LAST THREE ARE THE ANSWERS
Step-by-step explanation:
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,546 was collected on the sale of 1,082 tickets. How many of each type of ticket were sold?
Answer:
509 adults 1 student
Step-by-step explanation:
2545÷5
Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Answer all 3 in order: 1. 2. 3.
Answer:
1. 30 in
2. 273 mi
3. 248 m
Step-by-step explanation:
For the first circle, you are given the radius. Multiply that by 2 in order to get 30.
For the second circle, you are given the diameter. Divide that by 2 to get 273.
For the third circle, you are given the radius. Multiply that by 2 in order to get 248.
What is the volume of the right rectangular prism below?
2 inches
13 inches
12 inches
A 2- cubic inches
3
B 3- cubic inches
4
1
4= cubic inches
4
3
D) 4- cubic inches
4
Answer: B - 3 3/4 cubic inches
Step-by-step explanation:
A = BH; B = wl
2 * 1 1/4 = B
B = 2 1/2
H = 1 1/2
2 1/2 * 1 1/2 = 3 3/4
Maria reads more than 8 books a month. Which inequality represents how many books Maria could have read?
A: 8 > b
B: 8 ≥ b
C: 8 < b
D: 8 ≤ b
Answer:
8 < b
Step-by-step explanation:
since she reads more than 8 it marks out B and D and since b needs to be greater than 8, the answer would be C
ILL GIVE BRAINLEST, please no links and show work :)
Answer:
80
Step-by-step explanation:
x + (2x-60) = 180
combine like terms
3x - 60 =180
add 60 to both sides
3x = 240
divide both sides by 3
x = 80
plug it back in to check
80 + (2(80) - 60 = 180
80 + (160 -60) = 180
80 + (100) = 180
180 = 180
Solve the system of equations.
y = 4x
y= x^2+ 3
Answer:
x=3 and x=1
Step-by-step explanation:
find roots of the equation by equating 4x and x^2+3 to eachother
WILL MAKE BRAINLIEST
find the slope of each line
Answer:
1) 7/3
2) Undefined
3) 1
4) 7/4
Step-by-step explanation:
PLEASE HELP ME! Tysm <3 Have a great day. The Picture is below.
Answer:
1.false
2.false
3.false
Answer:
All three are false.
Step-by-step explanation:
Let's say a equaled 2 and b equaled 5.
For reference: |2| = 2 |5| = 5
2 > 5 - False
|2| > |5| - False
2 > |5| - False
Hope this helps!!
What is y=x +1 and y=2x-1
Answer:
Y=X+1=2+1=3
Step-by-step explanation:
{
X
=
2
Y
=
3
Explanation:
Combining the two equations, we find:
2
X
−
1
=
Y
=
X
+
1
Subtract
X
from both ends to get:
X
−
1
=
1
Add
1
to both sides to get:
X
=
2
Then:
Y
=
X
+
1
=
2
+
1
=
3
Answer the questions below
Answer:
#1At the start the total number is 10, male fish = 6
P(m) = 6/10 = 3/5At the second time the total number is 9, male fish = 5
P(m) = 5/9Probability of two male fish is:
P(m and m) = 3/5*5/9 = 1/3#2a) The events are independentb) P(4 and A) = 1/6*1/4 = 1/24c) P(an even number and C) = 1/3*1/4 = 1/12d) P(2 or 5 and B or D) = (1/6 + 1/6)*(1/4 + 1/4) = 1/3*1/2 = 1/6#3P(both goals) = 0.8*0.8 = 0.64We are in school 10 months out of the year. What percent of the year are we in school?
We are in school 10 months out of the year. What percent of the year are we in school?
Answer:
83.3% (repeating)
Step-by-step explanation:
hope this helps! #HappyCheating
What is the principal if...
Rate = 22%
Time
1 year
Interest = $110
Answer:
Interest=PTR/100
110 =P×1×22/100
11000=22P
P=500
2 - i
——————-
(4 - 1) (4 + i)
Answer:
3=¢
Step-by-step explanation:
yeahhhhhhh thank youiuuuuuuuuuuuu
A car is travelling with uniform acceleration along a straight road. The road has marker posts every 100m. When the car
passes one post, it has a speed of 10ms-and, when it passes the next one, its speed is 20ms-1.
What is the car's acceleration?
A 0.67ms-2
B 1.5ms-2
C 2.5ms-2
D 6.0ms?
Answer:
(B)
Step-by-step explanation:
v^2 = v0^2 + 2ax
a = (v^2 - v0^2) / 2x
= (20^2 - 10^2) / 200
= 1.5 m/s
NEED ANSWER ASAP TYY SO MUCH IN ADVANCE
Answer:
13.70
Step-by-step explanation:
a^2+b^2=c^2
a = side 1
b = side 2
c = hypotenuse
9.2^2 + b^2 = 16.5^2
272.25 - 84.64 = 187.61 =b^2
√187.61 = b = 13.697 = 13.70
Answer:
see I hope u understand
Find the value of x. Round to the
nearest tenth.
12
х
259
x = [?]
9514 1404 393
Answer:
5.1
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(25°) = x/12
x = 12·sin(25°)
x ≈ 5.1
Copy Mark charges $26 + 44 cents per copy to produce promotional brochures a royal linear equation that relates the cost c in dollars of copies to the number x of copies made and b how many brochures can Steve purchase if he had a budget of $76.16
Answer:
[tex](a)\ y = 26 + 0.44x[/tex]
[tex](b)\ 114\ copies[/tex]
Step-by-step explanation:
Given
[tex]Base\ Charge = \$26[/tex]
[tex]Rate = 44c[/tex] per copy
Solving (a): Linear Equation
The total charges (y) is: the base charge + the rate * number of copies (x).
So, we have:
[tex]y = 26 + 0.44 * x[/tex]
The 0.44 is 44 cents converted to dollars
[tex]y = 26 + 0.44x[/tex]
Solving (b): Purchase if he budgets $76.16
This implies that y = 76.16
So, we have:
[tex]y = 26 + 0.44x[/tex]
[tex]76.16 = 26 + 0.44x[/tex]
Collect like terms
[tex]0.44x = 76.16 - 26[/tex]
[tex]0.44x = 50.16[/tex]
Solve for x
[tex]x = \frac{50.16}{0.44}[/tex]
[tex]x = 114[/tex]
someone help me please! i will reward brainliest! this is geometry
Answer:
n=7
r=2
combination=7*2=14☺️
Awnser : 14
Explanation : N = 7 An R = 2 ∴ 7 × 2 = 14
Hoped This Helped Have a Nice Day :)
What is the measure of ZLKM?
A, 35
B, 55
C, 70
D, 110
(Person who answers will get a follow, like, and brainless)
Answer:
70
Step-by-step explanation:
35 because the 4 segments have to total to 180
Paul and Tammy went out to dinner and the total of their meals was $37.85. Paul spent $12.55 less than what Tammy spent. How much did Paul spend?
Answer:
Paul spent $12.65
Step-by-step explanation:
Create a system of equations where p is how much Paul spent and t is how much Tammy spent.
p + t = 37.85
p = t - 12.55
Solve by substitution:
p + t = 37.85
(t - 12.55) + t = 37.85
2t - 12.55 = 37.85
2t = 50.4
t = 25.2
Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55
p = t - 12.55
p = 25.2 - 12.55
p = 12.65
So, Paul spent $12.65
Evaluate and input the result of the following integral.
∫ Fdr= ?
c
F=
Answer:
∫ F dr= 1
c
Step-by-step explanation:
The correct question is -
Given - [tex]F = < \frac{sec^{2} x}{y} , - \frac{tan x}{y^{2} }>[/tex] and C : (0, 1) to [tex](\frac{\pi }{4} , 1)[/tex]
To find - Evaluate and input the result of the following integral.
Proof -
We know that,
dr = dx i + dy j
F = < F1, F2 >
Now, we know
[tex]d(\frac{tanx}{y }) = \frac{d}{dx}(\frac{tanx}{y}) + \frac{d}{dy}(\frac{tanx}{y})[/tex]
So,
[tex]\frac{d}{dx}(\frac{tanx}{y}) =\frac{1}{y} \frac{d}{dx}({tanx}) \\\\ = \frac{sec^{2} x}{y} \\\frac{d}{dy}(\frac{tanx}{y}) = tanx \frac{d}{dy}(y^{-1}) \\ = -\frac{tanx}{y^{2} }[/tex]
Now,
We can see that,
[tex]d(\frac{tanx}{y }) = \frac{sec^{2} x}{y} dx - (\frac{tanx}{y^{2} })dy[/tex]
So,
[tex]\int\limits^{}_C {F. dr} = \int\limits^{}_C d(\frac{tanx}{y} )\\= [\frac{tanx}{y} ]\limits^{(\frac{\pi }{4} ,1)}_{(0,1)}\\= [\frac{tanx}{y} ]\limits^{}_{(\frac{\pi }{4} ,1)} - [\frac{tanx}{y} ]\limits^{}_{(0,1)}\\= \frac{tan(\frac{\pi }{4} )}{1} - \frac{tan 0}{1}\\= 1 - 0\\= 1[/tex]
∴ we get
∫ F dr= 1
c
In ΔTUV, t = 47 cm, v = 65 cm and ∠V=38°. Find all possible values of ∠T, to the nearest degree.
Answer:
26 degrees
Step-by-step explanation:
It is the correct solution on delta math
Answer:
26°Step-by-step explanation:
Use the law of sines:
t / sin ∠T = v / sin ∠Vsin ∠T = t sin ∠V / vsin ∠T = 47 sin 38° / 65sin ∠T = 0.445m∠T = arcsin (0.445)m∠T = 26° (rounded)help thank u amen ehehhehe monke
Answer:
C. 4
Step-by-step explanation:
have a nice day! :)
Please help me with this
Answer:
they can make 24 2/3 pint jars.
Step-by-step explanation:
16 divided by 2/3 is equal to 24.
x + 1/2 (x – 4) = 1/2 x + 6 (x – 2)
how many solutions does the equation have?
9514 1404 393
Answer:
one solution
Step-by-step explanation:
There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.
Simplifying, we get ...
x + 1/2x -2 = 1/2x +6x -12
3/2x -2 = 13/2x -12
The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.
__
Add 12-3/2x to both sides to get ...
10 = 5x
2 = x . . . . . divide both sides by 5. This is the solution.