Given:
Perimeter of a regular pentagon = 10 cm
The pentagon is dilated by a scale factor = [tex]\dfrac{3}{2}[/tex].
To find:
The perimeter of the new pentagon.
Solution:
If a figure is dilated by a scale factor k, then
Perimeter of new figure = k × perimeter of original figure
The scale factor is [tex]\dfrac{3}{2}[/tex] and the perimeter of a regular pentagon is 10 cm. So, the perimeter of a new pentagon is:
[tex]\text{Perimeter of new pentagon}=\dfrac{3}{2}\times 10[/tex]
[tex]\text{Perimeter of new pentagon}=3\times 5[/tex]
[tex]\text{Perimeter of new pentagon}=15[/tex]
Therefore, the perimeter of the new pentagon is 15 cm.
PLZ ANSWER THIS I CANT FIGURE OUT THE SECOND ONE
(INSTANTANEOUS ROC)
I will give you brainiest if you answer it right
Answer:
Step-by-step explanation:
The first one is actually 0 I think. The instantaneous ROC at x=1 should also be 0. The last one should be correct.
Basically, the ROC for the first one is 0 because the y value at the start and end of the interval is the same, so the change is the same. However, for the instantaneous ROC at x = 0, you look at the graph and realize that if you find the derivative at that point, it is 0.
What is the name?
Help please
Answer:
Tangent
Step-by-step explanation:
GE has only one point of contact with the circle at F
The line GE is therefore a tangent
Answer:
Tangent
Step-by-step explanation:
i took it
Solve the triangle, round answers to the nearest tenth.
Step-by-step explanation:
to get DE nd also EF u can use the cosine rule since two angles and a side has been given
and to get the angle at D since we know ∆=180 then u add up the angles given then u subtract from 180
The lengths of three ropes are 4 : 5 : 9. If the length of the shortest rope is 20 cm, find the length of the longest rope
help please I don't understand
Find the perimeter of the square. (hint : make one side = to the other side to find y. Remember, you are finding the perimeter)
Step-by-step explanation:
[tex]5y = 4y + 3 \\ y = 3 \\ p = 4 \times a = 4 \times 3 = 12[/tex]
what is the difference between 479,310 and 214,991?
Answer:
264,319
Step-by-step explanation:
A difference is a subtraction problem.
Subtract 214,991 from 479,310.
479,310 - 214,991 = 264,319
The diagram shows a field ABC.
AC = 240 m
Use the sine rule to calculate AB.
Answer:
AB ≈ 312.1 m
Step-by-step explanation:
Using the Sine rule in the triangle, then
[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )
AB × sin50° = 240 × sin85° ( divide both sides by sin50° )
AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )
Let x and y be inversely related. If x is 5 when y
is 6, find y when x is 3.
Answer:
y=10
Step-by-step explanation:
x=k/y
constant of proportionality
k=xy
k=5*6
k=30
therefore x=30/y
if x=3 y=?
y=30/3
y= 10
Which expression is equivalent to
Answer:
B) x^(5/3)*y^(1/3)
Step-by-step explanation:
Taking the cube root of a number is the same as raising it to the 1/3 power:
∛x=x^1/3
∛(x⁵y) = x^(5(1/3))*y^(1/3)=x^(5/3)*y^(1/3)
Remember to multiply exponents when raising an exponent to an exponent and distribute the 1/3 to each exponent!
The order in which conditions are combined does not matter in a _____.
permutation
combination
sequence
series
Answer:
combination!!
Please answer the question below fully will mark brainliest
Answer:
que es eso
Step-by-step explanation:
fuhwiheirj lo siento
Which expression is equivalent to 2(3g - 4) - (8g + 3)?
Answer:
Step-by-step explanation:
6g - 8 - 8g - 3
-2g - 11
Answer:
-2g - 11
Step-by-step explanation:
2(3g - 4) - (8g + 3)
Use the distributive property to multiply 2 by 3g - 4.
6g + 2(-4) - (8g + 3)
6g - 8 - (8g + 3)
Find the opposite of 8g + 3.
6g - 8 - 8g - 3
Combine like terms.
-2g - 8 - 3
Subtract 3 from -8 to get -11.
-2g + 11
The expression equivalent to 2(3g - 4) - (8g + 3) is -2g - 11.
The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.
A) y = 4x +7
Or
B) y = 4x + 19
Can you help?
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )
m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = 4x + 7 → A
What speed would a plane average on a trip
of 4000 miles that took 6 hours?
(A) 150.0 miles per hour
(B) 666.6 miles per hour
(C) 366.6 miles per hour
(D) 1500.0 miles per hour
Answer:
B) 666.6 miles per hour
Step-by-step explanation:
To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.
4000 miles/6 hours = 666.6 miles per hour
You invest $500 in an account that pays 6% interest compounded continuously. How
much will be in the account after 6 years?
=====================================================
Explanation:
We'll apply this formula
A = P*e^(r*t)
where,
A = account balance after t yearsP = initial deposit, aka principale = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.r = annual interest rate in decimal formt = number of yearsIn this case, we have
P = 500r = 0.06t = 6Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.
So...
A = P*e^(r*t)
A = 500*e^(0.06*6)
A = 716.66470728026
A = 716.66 dollars is the final answer
.
In the hands of someone with harmful intentions, how can analogies prove to be dangerous tools?
A)Analogies can create long-lasting confusion that prevents people from making decisions.
B)Analogies make significant connections seem far less powerful than they actually are.
C)Analogies meant to persuade or influence people are often disguised as explanations.
D)Analogies, even weak and misleading ones, can be powerful tools of persuasion.
Answer:
I believe, its D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?
Answer:
The area of triangle AED = (x^2-xy)/2
Step-by-step explanation:
Mathematically, the area of a square is the product of its side lengths
Thus, if the area is x^2; then the side of the square measures x
So each of the side of the square has a measure x units
Now, for the base of the square;
EC = ED + DC
x = ED + y
ED = x - y
Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2
The height here is x and the base is (x-y)
We have this as;
Area of triangle AED =
1/2 * x * (x-y)
= (x(x-y))/2
= (x^2-xy)/2
find the circumference of the pizza nearest to to the nearest whole number if the radius is 7 in
Answer:
69
Step-by-step explanation:
420+911÷360 no scope=69
Help me please! Write the measure of angles a, b, c, d, e, f, and g for the figure below.
I need help and answers. NO LINKS PLEASE! Thank you! I'll give 10 points and brainliest.
Answer:
a=55
b=55
c=125
d=125
e=55
f=55
g=125
Step-by-step explanation:
Answer:
∠a = 55°, ∠b = 55°, ∠c = 125°, ∠d = 125°, ∠e = 55°, ∠f = 55°, ∠g = 125°
Step-by-step explanation:
straight lines form 180°:
125° + ∠a = 180°
=> ∠a = 55°
verticle angles are congruent:
∠c = 125°
∠b ≅ ∠a => ∠b = 55°
When two line are parallel:
same side interior angles are congruent:
∠g ≅ ∠c => ∠g = 125°
∠e ≅ ∠a => ∠e = 55°
∠d = 125°
∠ f ≅ ∠b => ∠f = 55°
A class collects data on the number of movie tickets purchased and the total cost of those tickets. The class plots the data on a scatter plot. Which statement BEST interprets their results?
A.
There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.
B.
There is likely to be both correlation and causation between the number of movie tickets purchased and the total cost of those tickets.
C.
There is likely to be neither correlation nor causation between the number of movie tickets purchased and the total cost of those tickets.
D.
There is likely to be causation between the number of movie tickets purchased and the total cost of those tickets but not correlation.
Answer:
Step-by-step explanation:
There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.
'There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.' This statement best interprets their results.
What is correlation?It is a relationship between two variables or events. However, one variable doesn't actually cause the other.
What is causation?Causation can be applied on two events or variables where variable 2 causes the variable 1.
The class collects data on the number of purchased and the total cost of those tickets.
Let, for a particular time period, this observation is recorded.
Hence, the number of movie tickets purchased and the total cost of those tickets this must be correlation. It can't be causation. Option: A is right.
Learn more about correlation and causation here: https://brainly.com/question/10971583
#SPJ2
What is the solution of 3x + y = 9 and 3x - 5y = 15?
Answer:
(10/3, -1)
Step-by-step explanation:
So there are two different ways.
First you could address for y and fitting it into the number cruncher. one condition for y1 and another for y2. At that point go second follow and press 5 and afterward press enter multiple times to discover the convergence.
the subsequent path is to tackle by hand. I would recommend address the primary condition for y and attachment the condition tackled for y into the other condition. so y = - 3x + 9 and 3x-5y=15. At that point you could do 3x - 5(- 3x+9) = 15. At long last address for x and plug in x into the two conditions to check whether you get a similar y esteem.
The appropriate response ought to be (10/3, - 1)
Answer:
x = 3 1/3, x = -1.
Step-by-step explanation:
3x + y = 9
3x - 5y = 15
Subtract second equation from the first to eliminate the 3x :
3x - 3x + y - (-5y) = 9 - 15
6y = -6
y = -1.
Plug y = -1 in first equation:
3x + -1 = 9
3x = 10
x = 10/3 = 3 1/3.
HELP PLZ BRAINIEST TO WHOEVER RIGHT
Answer:
five-number summary
Step-by-step explanation:
if the mean of 12,16,22,X 28 is 19.6 find X
Answer:
20
Step-by-step explanation:
A data is given and the mean of data is 19.6 .The data is ,
12 , 16 , 22 , x , 28 .
We know that the mean is sum of observations divided by Total number of observations . So that ,
⇒ 12 + 16 + 22 + x + 28/ 5 = 19.6
⇒ 78+x/5 = 19.6
⇒ 19.6 × 5 = 78 + x
⇒ 78 + x = 98
⇒ x = 98 - 78
⇒ x = 20
Hence the value of x is 20 .Which equation has the solution x = 2?
A 2x-3=19
B 3x+2=8
C 4x-4=-4
D 5x+1=10
Answer:
The answer is B.
Step-by-step explanation:
You can solve this problem by plugging in 2 for x in the given equations.
2(2) - 3 = 19 is false
3(2) + 2 = 8 is true
4(2) - 4 = -4 is false
5(2) + 1 = 10 is false
Helllllllpppppp me plz
Answer:
90 degrees
Step-by-step explanation:
Answer:
x=103
Step-by-step explanation:
sum=(n-2)*180
sum=(6-2)*180
sum=4*180
sum=720
90+155+112+120+140+x=720
617+x=720
x=720-617
x=103
can yall help me smart people
Answer:
D y>0
Step-by-step explanation:
(0,∞)
2x+1=5x-8 Solving Equations with Many or No Solutions
Hello!
[tex]\large\boxed{x = 3}[/tex]
2x + 1 = 5x - 8
Solve by subtracting both sides by 2x:
2x - 2x + 1 = 5x - 2x - 8
1 = 3x - 8
Add 8 to both sides:
1 + 8 = 3x - 8 + 8
9 = 3x
Divide both sides by 3:
9/3 = 3x/3
x = 3
Answer:
x = 3
Step-by-step explanation:
1. Write the equation
2x + 1 + 5x - 8
2. Add 8 on both sides
2x + 9 = 5x
3. Get the variables together
9 = 3x
4. Solve for x and divide both sides by 3
x = 3
A triangular prism has a height of 9 meters and a triangular base with the following dimensions.
What is the volume of the prism?
- 420 m^3
- 288 m^3
- 324 m^3
- 432 m^3
Answer:
V = 432 m³
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
A = [tex]\frac{1}{2}[/tex] bh ( area of triangular base, with b the base, h the perpendicular height)
Here b = 16 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 16 × 6 = 8 × 6 = 48 m²
Then
V = 48 × 9 = 432 m³
The first two angles in a triangle are 90 degrees and 50 degrees. What does the third angle have to be?
A. 20 degrees
B. 40 degrees
C. 50 degrees
D. 90 degrees
Answer:
B) 40 degrees
Step-by-step explanation:
90 + 50 = 140
Each triangle have 180 °
180 - 140 = 40