Answer:
Length of the longest side of the similar polygon = 15 cm
Step-by-step explanation:
Sides of a polygon are 3 cm, 5 cm, 6 cm, 8 cm and 10 cm
Perimeter of the polygon = 3 + 5 + 6 + 8 + 10
= 32 cm
Perimeter of the similar polygon = 48 cm
Since, scale factor = [tex]\frac{\text{Perimeter of the similar polygon}}{\text{Perimeter of the original polygon}}[/tex]
= [tex]\frac{48}{32}[/tex]
= 1.5
Since, scale factor = [tex]\frac{\text{Dimension of the similar polygon}}{\text{Dimension of the original polygon}}[/tex]
1.5 = [tex]\frac{\text{Dimension of the similar polygon}}{10}[/tex]
Dimension of the similar polygon = 1.5 × 10
= 15 cm
Therefore, longest side of the similar polygon = 15 cm
Lucas wants to put soil in his garden shown below. If soil comes in bags that fill 2 square yards each, how many bags of soil should Lucas buy? Hint: you may have some leftover soil.
The garden is 4/3 yards by 9/2 yards
Answer:
3 bags
Step-by-step explanation:
4/3 x 9/2 = 36/6
36/6 = 6 square yards
so you will nee 3 bags of soil.
Write 45 cents as a percentage of 18 dollars
Screw hooks are used to hang plants and others decorations from walls and callings the graph shows the total mass in grams of a can based on the number of screw hooks in the can
Which of the following answers is the interpretation of the y-intercept of this graph and why explain ?
A. The mass of the can only
b. The mass of the 1 screw
C the mass of 10 screw hook
D the mass of the can and x screw books
Look at picture will give brainlist:)
Answer:
I think c I'm not to sure and ur hecka prettyyy
Find the mean of the data in the dot plot below
Answer:
5km
Step-by-step explanation:
Do not let the number line fool you, instead take the numbers from teh numberline. Because mean is the numebrs added up and divided by the number of numbers there are in the data. If we take 4+4 (two 4s on number lines) and add 7, we get 15 and because there are 3 numbers we divide by 3 to get 5km
Simplify 2(x – 4) – 3(x+2)
Answer: =−x−14
Step-by-step explanation:
2(x−4)−3(x+2)
Distribute:
=(2)(x)+(2)(−4)+(−3)(x)+(−3)(2)
=2x+−8+−3x+−6
Combine Like Terms:
=2x+−8+−3x+−6
=(2x+−3x)+(−8+−6)
=−x+−14
Use the graph to solve the system of linear equations.
x+y=5
y-2x = - 4
4
2.
4
The solution is (0.0).
Answer:
There is no graph
Step-by-step explanation:
One has to solve this using either substitution or elimination then...
x + y = 5
–2x + y = –4
x + y = 5
2x –y = 4
3x = 9
x = 3
y = 2
Solution (3 , 2)
What is the slope of the line graphed below?
...
m=
A. 2
B. 1/2
C. -1/2
D-2
Answer:
its a 2
Step-by-step explanation:
$1,600 at 4.5 % for 48 months
Answer:
Monthly Payment $36.49
Total Interest Paid $151.31
Total Paid $1,751.31
Step-by-step explanation:
PLease help me fast thank you
Answer:
g=11
4g=44???
Step-by-step explanation:
44÷4=11
the equation question is weird but that's my best guess
Which of these three expressions are equivalent?
2 + 4(x + 1) + X
3(x + 2) + 2x
2(3 + 3x) - 2x
Answer:
is this good?? i mean is it correct
helpp!!! i don't understand this
Which answer choice shows 7.08 rounded to the nearest half? A. 7 B. 7.5 C. 8 D. 8.5
Answer:
A. 7
Step-by-step explanation:
1. Evaluate algebraic expression for the given value of "y". 6y -5 for y =7
A CD usually sells for $13.00. If the CD is 30% off, and sales tax is 5%, what is the total price of the CD, including tax?
Answer:
$9.56
Step-by-step explanation:
$13.00 x .30 = 3.90
13.00 - 3.90 = $9.10 x .05 = 0.46
$9.10 + 0.46 = 9.56
In ABCD, the measure of ZD=90°, BD = 63, CB = 65, and DC = 16. What ratio
represents the cosine of ZB?
Answer:
is there a picture of this
A green light blinks every 4 seconds and a yellow light blinks every 5 seconds. When will both lights blink at the same time?
Answer:
20 seconds
Step-by-step explanation:
4 x 5 = 20
Answer:
20 seconds
Step-by-step explanation:
LCM 4 times 5 is 20 just think abt it
What are the zeros of the function f, where f(x)=6x^2-9x-6
Answer:
x=NEGATIVE 1/2, POSITIVE 2
Step-by-step explanation:
Just use math.waycom
The non-negative zero of the function f(x) is x = 2.
What are zeros of quadratic function?The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
here, we have,
For a given function f(x), the "zeros" of the function are the values of x such that:
f(x) = 0
In this case, we have the function:
f(x) = 6*x^2 - 9*x - 6
If we want to find the zeros of this function, we need to solve:
f(x) = 0 = 6*x^2 - 9*x - 6
To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:
0 = a*x^2 + b*x + c
The zeros are:
x = -b ±√b² - 4ac / 2a
In this case our equation is:
0 = 6*x^2 - 9*x - 6
then, in the above notation, we have:
a = 6
b = -9
c = -6
Replacing these in our general formula, we get:
x = 9±15 /12
Then we have two zeros:
x = (9 + 15)/12 = 24/12 = 2
x = (9 - 15)/12 = -6/12 = -1/2
But we want only the non-negative, so we can discard the second one.
Concluding, the non-negative zero of the function f(x) is x = 2.
To learn more on zeros of quadratic function click:
brainly.com/question/28822774
#SPJ3
There is a total of 45 boys and girls in a choir.
The mean age of the 18 boys is 16.2 years.
The mean age of the 27 girls is 16.7 years.
Calculate the mean age of all 45 boys and girls.
Answer:
16.5 year
Step-by-step explanation:
Using, mean = sum/no. *of observations
Here,
=> 16.2 = (sum of ages of boys)/18
=> 16.2 x 18 = sum of ages of boys
=> 291.6 = sum of ages of boys
Similarly, sum of ages of girls = 27 x 16.7 = 450.9
Mean(total) = (sumof agesof boys + girls)/45
Mean = (291.6 + 450.9)/45 = 16.5
Answer:
The mean age of all 45 boys and girls is 16.5years
Step-by-step explanation:
Since the mean age of the 18 boys is 16.2years,
∴ Sum of their ages = 18 × 16.2
= 291.6years
The mean age of the 27 girls is 16.7years
∴ Sum of their ages = 27 × 16.7
= 450.9years
∴ Mean age of all 45 boys and girls = [tex]\frac{291.6 + 450.9}{45}[/tex] years
= [tex]\frac{742.5}{45}[/tex] years
= 16.5 years
∴ The mean age of all 45 boys and girls is 16.5 years.
A container can hold 18 litres of liquid. If there 7 2/3 litres of watee was poured into it, how much more water is needed to fill that container?
Answer:
Step-by-step explanation:
1 full container = 18 Liters.
The amount in the container = 7 2/3
The amount left to go is 18 - 7 2/3
Now I don't know how you have been taught to do this, but I think the easiest way is to make 18 = 17 3/3 If you do that then the 5 will be subtracted from the 17 and the 2/3 will be subtracted from the 3/3
17 - 5 = 12
3/3 - 2/3 = 1/3
So the answer is 12 1/3
Could someone please help?
Answer:
y = (4)(3)^x, with a = 4, b = 3
Step-by-step explanation:
y = ab^x
4 = ab^0 = a(1) = a
108 = 4b^3
108/4 = 27 = b^3
cube root of 27 = 3, so b = 3
I need to know the step-by-step answer to this problem.
Answer:
42+8=50 inc
Step-by-step explanation:
It says that ty is shorter so you add 8 inches to get reese height
Answer:
50 inches tall
Step-by-step explanation:
R-8=42
r=reece height
the reason why you need to add is becuase ty is shorter by 8 inches, so you need to add those 8 inches, if it said he was taller then you wouldve subtracted
hope this helps
17 POINTS!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!
Sam needs to build a fence around his pool. The pool and the sidewalk around it have a distance around of 200 feet, so the perimeter of the fence needs to be at least 200 feet. The length of the fence is five more than three times the width.
Answer:
52
Step-by-step explanation:
The dimension of the pool that Sam needs to build a fence is 23.75 ft and 76.25 ft.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.
Sam needs to build a fence around his pool.
The pool and the sidewalk around it have a distance of 200 feet, so the perimeter of the fence needs to be at least 200 feet.
The length of the fence is five more than three times the width. That is
L = 3W + 5
Then by the formula of the perimeter.
[tex]\rm P\ \ = 2(L+W)\\\\200 = 2(3W + 5 + W)\\\\100 = 4W + 5\\\\9\ 5 = 4W\\\\W \ = 23.75[/tex]
Then the length will be
L = 3(23.75) + 5
L = 71.25 + 5
L = 76.25 ft
Thus, the dimension of the pool that Sam needs to build a fence is 23.75 ft and 76.25 ft.
More about the rectangle link is given below.
https://brainly.com/question/10046743
Samuel spends $8 on lunch. The tax rate is 9%. What is his total cost?
Answer:
$8.72
Step-by-step explanation:
Since the tax rate is 9% of the lunch cost, the tax for this lunch is .72 dollars since 9% of 8 is 0.72(see math below). You add the 0.72 to 8 and the total cost is $8.72.
8 x (9/100) = tax
8 x 0.09 = 0.72
8+0.72 = $8.72
what is the value of x
Answer:
90-26=64
64 is the value of x
Step-by-step explanation:
HELP ME PLEASEE ASAP!!!! PLEASEE
Answer:
in my view B is a answer
Step-by-step explanation:
cross section area=l×b
=5×5
=25 inch square. .
volume=A×h
=25×3
=75 inch cube..
Find the size of the angle yzx. Give your answer to 3 significant figures
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinZ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then
∠ YZX = [tex]sin^{-1}[/tex] ([tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )
X = 0.5
Solve please
Answer:
2x-1=0
Step-by-step explanation:
x-0.5=0
10x-5=0
2x-1=0
PLEASE HELPP i know the answer is 12 but how?
The height of a doorway is 3 yards. What is the height of the doorway in inches? 1 yard = 36 inches
Answer:
108
Step-by-step explanation:
3*36=108
Answer:
108
Step-by-step explanation:
36x3
HELP ME PLEASEEEEE!!!
Answer: Because if there are 2 minus signs next to each other, it is automatically a plus sign
Answer:
that's because a negative plus a negative equals a positive
Step-by-step explanation:
When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.
I hope i get brainliest :D