Answer:
48
Step-by-step explanation:
In similar polygons, every side of one polygon is a certain number of times bigger than the corresponding side of the other polygon. This number is the scale factor. Since the perimeter of each polygon is the sum of the lengths of the sides of that polygon, the perimeters also have the same scale factor that the sides do.
For example, if a triangle has 3 sides measuring 5 cm each and a similar triangle has 3 sides measuring 10 cm each, you see that each side of the second triangle is 2 times the length of the corresponding side of the first triangle. The scale factor from the smaller triangle to the larger triangle is 2. Now look at the perimeters. Since 5 + 5 + 5 = 15 and 10 + 10 + 10 = 30, the perimeters are 15 cm and 30 cm, and again, the perimeter of the second triangle is the same 2 times bigger than the perimeter of the first triangle.
Now look at your problem.
The perimeter of the smaller flag to the right is 16.
We see a side on the larger flag is 15, but we don't see the same side length on the smaller flag, so 15 does not help us.
Now we see that a side of the smaller flag measures 4 and the corresponding side of the larger flag measures 12. We divide the larger side length by the corresponding smaller side length to find the scale factor.
12/4 = 3
The scale factor from the smaller flag to the larger flag is 3. The perimeters also have the same scale factor of 3.
perimeter = 3 * 16 = 48
Answer: 48
Answer:
48
Step-by-step explanation:
Similar polygons have their sides in proportion, and we call the proportion between pairs of corresponding sides on two similar polygons the scale factor between them. We want to find the perimeter of the larger flag given the smaller one, and comparing the side with length 12 on the larger one with the side of length 4 on the smaller, we get a scale factor of 12 / 4 = 3.
This tells us that all the lengths on the larger flag are 3 times longer than the corresponding lengths on the smaller flag. What happens to the perimeter when we scale all of the lengths? Well, if every side gets multiplied by three, the sum of those sides will naturally be multiplied by 3, too.
Our large flag has a perimeter 3 times bigger than the smaller one, then, and 3 × 16 = 48.
Find the equation of the line that is perpendicular to the x-axis and passes through the point (-14,5). Give the full equation as your answer.
Answer: x=-14
Step-by-step explanation:
If the line is perpendicular to the x-axis, that means it is parallel to the y-axis. All lines that are parallel to the y-axis have the form x=. Since we know the line passes through the x value of -14, that means the equation of the line is x=-14.
Given your sister's incomplete text,
"Meet me at the trails located at (−2," .
Explain why the trails must be in quadrant 2 or quadrant 3.
Explanation:
Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.
If 'your sister' completes the text with negative y-value, the point would be in Q3.
If 'your sister' completes the text with positive y-value, the point would be in Q2.
Answer:
Q2
Step-by-step explanation:
plzzz give me brainliest plzzz
I need help with -1 + (-4) + (-9), I know the answer but i need the work.
Answer:
-14
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
-1 + (-4) + (-9)
-1 -4 -9 = -14
Note that a positive sign multiplying a negative sign in a bracket gives negative.
Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 2.
Answer:
0/6
Step-by-step explanation:
because there are the numbers from 1-6 and no matter what you add you cant get it lower than 2 (1+1)
Answer:
Step-by-step explanation:
Multiples of 5 = 5 and 10
Ways to roll a 5 = (1,4) ( 4,1) (2,3) (3,2)
Ways to roll a 10 = (5,5) (4,6) (6,4)
We have 7 possible outcomes for a multiple of 5...and there are 36 possible outcomes in total
So P (multiple of 5) = 7 / 36
Determine the volume of the rectangular prism with a base area of
30.38 square yards and a height of 3.8 yards.
Answer:
[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]
Step-by-step explanation:
For this case we know that the base area is [tex]A = 30.38 yd^2[/tex]
And the height is [tex] h = 3.8 ft[/tex]
The volume for a rectangular prism is given by:
[tex] V = A h[/tex]
And replacing the info we got:
[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]
Answer:
Volume = 115.44 cubed yard
Step-by-step explanation:
Given that ;
base area = 30.38 square yards
height = 3.8 yards.
The volume for a rectangular prism is length * width * height
Area = length * width
we are given area = 30.38 square yards
Volume = Area * height
Volume = 30.38 square yards * 3.8 yards.
Volume = 115.44 cubed yard
Therefore, the answer is = 115.44 cubed yard
Part i
Let's try something a bit different. The four brothers know that Bruce weighs
more than Alan. Write an expression to represent how much more Bruce
weighs than Alan. Write the expression in terms of Dylan's weight, d.
Answer:
We know nothing about Dylan so we can not write an expression about dylans weight.
Step-by-step explanation:
B- Bruce's Weight
A- Alan's Weight
B-A= H
Where H is how many more pounds that Bruce weighs than Alan.
Answer:
Bruce's weight in terms of Dylan's weight is 3d-12.
Alan's weight in terms of Dylan's weight is 2d+3
So, the expression (3d-12) -(2d+3) represents how much more Bruce weighs than Alan.
Step-by-step explanation:
PLEASE HELP 15 POINTS!!!!
what is the standard form of
(3x + 4)(x − 8)
Answer:
3x^2 -20x-32
Step-by-step explanation:
(3x + 4)(x − 8)
Foil
First: 3x*x = 3x^2
outer: -8*3x = -24x
inner: 4x
last: -8*4 =-32
Add them together
3x^2 -24x+4x -32
Combine like terms
3x^2 -20x-32
Standard form is ax^2 +bx+c
Answer:
[tex]3 {x}^{2} + 20x - 32[/tex]
Step-by-step explanation:
[tex](3x + 4)(x - 8) \\ 3x(x - 8) + 4(x - 8) \\ 3 {x}^{2} - 24x + 4x - 32 \\ = 3 {x}^{2} + 20x - 32[/tex]
What is the square root of r^64
Answer: r8
Step-by-step explanation:
The square root of r⁶⁴ is r³².
Here, we have,
The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.
Square root of r⁶⁴:
√(r⁶⁴)
Since the exponent is even (64), we can divide it by 2:
√(r⁶⁴⁻²)
√(r³²)
Therefore, the square root of r⁶⁴ is r³².
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Which graph is the solution to the inequality?
y - 13 > -85
13 < -85 + y
y + 13 < -85
Answer:
B
A
C
Step-by-step explanation:
Simply the inequalities
y - 13 > -85
y > -85 + 13
y > -72
Graph B is the solution
13 < -85 + y
y > 13 + 85
y > 98
Graph A is the solution
y + 13 < -85
y < -85 -13
y < -98
Graph C is the solution
Answer:
B A C
Step-by-step explanation:
–713 = 31u solve for u
Answer:
U=-23
Step-by-step explanation:
-713=13u
-713/13=-23
Solve for x in this equation 2(x-8)=14
Answer:
x = 15
Step-by-step explanation:
2(x - 8) = 14
Use distributive property
2x - 16 = 14
2x = 30
x = 15
Last year there were 1,435 8thgrade students enrolled at your school. This year there are 1,220. What is the percent change in the number of 8thgrade students?
Hi there!
Answer:
-14.98%(or -15%).
Step-by-step explanation:
1)To find the percent decrease,all you have to do is minus the original number from the decreased amount so:
1435-1220= 215
2)Then you divide this answer by the original number again so:
215÷1435= 0.1498
3)Then you times the decimal by 100 so:
0.1489x100= -14.98%(or -15%).
Hope this helps!
49.5 is what percent of 30?
Answer:
165 %
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 30 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 30, so we can write it down as 100%=30.
4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.
5. Now we have two simple equations:
1) 100%=30
2) x%=49.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=30/49.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 49.5 is what percent of 30
100%/x%=30/49.5
(100/x)*x=(30/49.5)*x - we multiply both sides of the equation by x
100=0.60606060606061*x - we divide both sides of the equation by (0.60606060606061) to get x
100/0.60606060606061=x
165=x
x=165
now we have:
49.5 is 165% of 30
Please can I get brainliest I worked hard for you
Hope I helped you
Please answer this correctly
Answer:
6 mm
Step-by-step explanation:
In the smaller figure, the short side is 4/28 = 1/7 the length of the long side. Since the figures are similar, the same will be true in the large figure:
k = (1/7)(42 mm)
k = 6 mm
Find the area of the circle r=6 ft 113.04 ft2, 9.42 ft2, 28.26ft2, 37.68 ft2, 18.84 ft2
Answer:
113.04ft^2
Step-by-step explanation:
Like before [tex]A=\pi r^2\\=\pi 6^2\\=113.04ft^2[/tex]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
D
Step-by-step explanation:
Yes, it does because it passes the vertical line test. We don't have to worry about the horizontal line test because it isn't a valid test. For example, let's imagine a parabola. That doesn't pass the horizontal line test, but it's still a function. This means that we can eliminate option B. We can do the same to C because a function doesn't necessarily have to be a straight line (like the parabola). That leaves us with options A and D. These both have to do with the vertical line test, so let's do it! If we place a vertical line anywhere on this graph, we will see that there are no vertical lines that intersect at 2 places with the graph. Therefore, it passes the vertical line test, and is a function. Hope this helps!
Can someone Please help me ???
If you can help me ill give you 20 points and brainliest :)
First, classify each line segments of triangle that are the same in both triangles.
RS = XU
RT = XW
ST = WU
Second, divide to find the scale ratio.
7.5/3 = 2.5
16/6.4 = 2.5
15/6 = 2.5
Since the scale ratios are identical, the triangles are similar.
Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]
Best of Luck!
A regular polygon has an interior angle of 172º.
Find the number of sides of this polygon.
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.
A small school had 60% boys and the rest are girls if the number of boys is 48 what is the total number of boys and girls all together in the school
Hey there!
When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.
If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.
0.6t=48
We divide both sides by 0.6.
t=80
Therefore, there are 80 total kids at the school.
We can also check our answer below.
BOYS: 0.6(80)= 48
GIRLS: 0.4(80)=32
48+32=80
I hope that this helps!
find the fifth term in the geometric sequence, given the first term and the common ratio. a1=243 and r=1/3
a5=?
Answer:
3
Step-by-step explanation:
a5 = a* r^4 ( from general formular of a GP)
= 243 * (1/3)^4 =. 243 * 1/81 = 3
The required 5th term in the geometric sequence is 3.
For geometric sequence a = 243 and r = 1/3.
fifth term to be determine.
Geometric progression is sequence of series whose ratio with adjacent values remains same.
Here, a = 243 and r = 1/3.
fifth term = [tex]ar^{n-1}[/tex]
= [tex]243*(1/3)^{5-1}[/tex]
= [tex]243*(1/3)^4[/tex]
= 243 * 1/81
= 3
Thus, the required 5th term in the geometric sequence is 3.
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What’s the correct answer for this?
。☆✼★ ━━━━━━━━━━━━━━ ☾
First, you'd work out the centre value
It would be the opposite value to what is in the brackets
Thus, the centre value is (2, -4)
Plot this value on a graph
In order to find the radius, you must square root the 25
Thus, the radius would be 5
Plot some points with a radius of 5 from the centre and then draw the circle
Have A Nice Day ❤
Stay Brainly! ヅ
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Solve for x and y
3x + 2y = 16
7x + y = 19
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
Double the second equation and subtract the first:
2(7x +y) -(3x +2y) = 2(19) -(16)
11x = 22
x = 2
In the second equation, ...
7(2) +y = 19
y = 19 -14 = 5
The solution is (x, y) = (2, 5).
Solve x^2+11x=−10 by completing the square.
The solutions are x= ___ and x=___.
Answer:
-10, -1
Step-by-step explanation:
To complete the square, we add the square of half the x-coefficient:
x^2 +11x +5.5^2 = -10 +5.5^2
(x +5.5)^2 = 20.25
Taking the square root, we get ...
x +5.5 = ±4.5
x = -5.5 ±4.5 = {-10, -1}
The solutions are x = -10 and x = -1.
please help i will make you the brainliest
Answer:
2. Growth of American Cities
3. Eliminated competition by forming monopolies
4. Explain the differences in income between the rich and poor
5. Put more money into circulation
6. The 14th and 15th amendments
Which of the following is an odd function?
Of(x) = 3x2 + x
Of(x) = 4x3 + 7
Of(x) = 5x2 + 9
Of(x) = 6x2 + 2x
Answer: Neither function is odd.
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Answer:
x = 2
Step-by-step explanation:
(DG + EF) / 2 = AB
(5x - 4 + 8x + 2) / 2 = 12
13x - 2 = 24
13x = 26
x = 2
Given sin thata = 2/5 and 0° < thata < 90°. find sin 2 thata
Recall the double angle identity:
[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]
With [tex]\theta[/tex] measuring between 0º and 90º, we know [tex]\cos\theta>0[/tex]. So from the Pythagorean identity, we get
[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5[/tex]
Then
[tex]\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}[/tex]
Answer:
C
Step-by-step explanation:
Edge2021
What is the solution to the following equation(-14)+x=14
Answer:
x = 28
Step-by-step explanation:
(-14)+x=14
Add 14 to each side to isolate x
14+(-14)+x=14+14
x = 28
Answer:
[tex]x = 28[/tex]
Step-by-step explanation:
[tex] - 14 + x = 14 \\ x = 14 + 14 \\ x = 28[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
(A\B)xC = (AxC)\(BxC) prove this please
Answer:
to remove the brackets you need to multiple A by C and B by C and the / stays the same so it's (A×C)/(B×C)
Answer
Shown from explanation
Step-by-step explanation:
Imagine we have a set A and a set B such that set B is contained in set A .
Therefore;
A\B is a mathematical notation in set theory that means;
A\B = A-B it means complement of A
Look at the attachment for a better understanding of the concept.
Therefore:
(A\B) ×C = (A-B) × C = AxC - B× C= AC- BC
Similarly;
(A×C)\(B×C) = (AC)\(BC)= AC - BC from set theory.
Hence, (A\B) ×C =(A×C)\(B×C)
Volume of a trapezoidal prism
Answer:
109.59m^3
Step-by-step explanation:
Hope you would understand from the attachment; attachment is a bit blurred at the moment so can't attach it at the moment...not much lightning at my end.
Volume is that of the suppose big pyramid - the suppose small pyramid.
The angle is 45degrees from my calculation.
Volume of big pyramid = (256√2 )/3
Volume of small pyramid= (32√2)/3
256√2 )/3-(32√2)/3= (224√2)/3
The volume of the given trapezoidal prism is 84 m³
What is a trapezoidal prism?A trapezoidal prism is a three-dimensional solid consisting of two identical trapezoidal faces joined together by four rectangular faces.
Given is a trapezoidal prism, we need to find its volume,
So, the volume will be given by = area of the trapezoid x length
= (8+4)x3.5 / 2 x 4
= 84
Hence the volume of the given trapezoidal prism is 84 m³
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