Answer:
The side lengths of the larger polygon are;
15 cm
20.625 cm
16.875 cm
9.375 cm
13.125 cm
Step-by-step explanation:
Firstly, we need to calculate the perimeter of the first polygon
Mathematically, we can get this by adding the side lengths together
We have this as;
5 + 7 + 8 + 11 + 9
= 40 cm
so we have the ratio of the lengths of both as;
75 cm/40 cm = 1.875
Now, we simply will multiply the lengths of the smaller polygon by 1.875
So we have the side lengths of the bigger polygon as;
1.875 * 5 = 9.375 cm
1.875 * 7 = 13.125 cm
1.875 * 8 = 15 cm
1.875 * 9 = 16.875 cm
1.875 * 11 = 20.625 cm
Which of these show a set of equivalent expressions ? select all that apply
A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning
Answer:
For a volume of 60 ounces, the appropriate price is $16
Step-by-step explanation:
Firstly, we need to determine the relationship between volume of popcorn and the price of bag.
Let us try and see if there is a linear relationship
A linear model is of the form ;
y = mx + b
where m is the slope and b is the y intercept
While the price represents the y axis values, the volume represents the x axis values
For the slope;
m = (y2-y1)/(x2-x1)
m = (13.6-11)/(48-35) = 2.6/13 = 0.2
So we have the slope value as 0.2
the equation is;
y = 0.2x + b
to get b, substitute any value of (x,y)
6 = 0.2(10) + b
6 = 2 + b
b = 6-2 = 4
If we had substituted (20,8)
8 = 0.2(20) + b
8 = 4 + b
b = 4
if (48,13.6)
13.6 = 48(0.2) + b
13.6 = 9.6 + b
b = 13.6-9.6
b = 4
Hence we have established linear relationship between the volume in ounces and the price in $
So we have this as
Price = 0.2(volume) + 4
So for volume of 60 ounces;
Price = 0.2(60) + 4
price = 12 + 4
price = $16
The reason why this is appropriate is because it follows the rule of the established linear relationship
Answer:
$16
Step-by-step explanation:
find the value of x *
Answer:
5 2/5 seems right to me
Step-by-step explanation:
filler filler filler
A number cube with the numbers 1 through 6 is rolled. Find the given probability
Answer:
1/6
Step-by-step explanation:
are these two lines parallel , explain or show your reasoning ?
yes, they arent intersecting and they have the same slope
Please help!!
I don’t know what to do
Answer:
x = 14.4
Step-by-step explanation:
Similar means that the figures are proportional to each other. Because of this, we can form a problem. [tex]\frac{9}{5}[/tex] (the short side lengths) = [tex]\frac{x}{8}[/tex] (the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?
IM really struggling on these math problems can anyone help and help me how to show the WORK! PLEASE
Answer:
For the first one it is 5x+2
Step-by-step explanation:
(9x+5) - (4x+3) = ?
First you minus the x's together so,
9x-4x which would equal 5x
then you minus the 5 and 3 together so,
5-3 which would equal 2
then you put the 5x and the 2 together and you get
5x+2 :-)
For the rest of the problems, use this as an example!
helpppp pleaseeee thank you
The radius of a circle is 1 yard. What is the circle's circumference?
r=1 yd
Answer:
6.3 yards
Step-by-step explanation:
mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle
we have this as;
C = 2 * pi * r
r is 1 yard
c = 2 * pi * 1 = 2pi yards = 6.3 yards
Find the ratio of the volume of the triangular prism
to the volume of the cuboid,
Give your answer in its simplest form
고
Answer:
The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].
Step-by-step explanation:
Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:
Triangular prism
[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]
[tex]V_{tp} = 90\,cm^{3}[/tex]
Cuboid
[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]
[tex]V_{c} = 600\,cm^{3}[/tex]
Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:
[tex]r = \frac{V_{tp}}{V_{c}}[/tex]
[tex]r = \frac{3}{20}[/tex]
The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].
I need help on this math question
Answer:
slope = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]
How would I set this to 0?
Answer:
− 2 sin ( 0 ) ⋅ sin ( 0 ⋅ π /0 m ) + cos ( 0 ) ⋅ cos ( 0 ⋅ π /0 m ) = 0 is not an identity
Step-by-step explanation:
6th grade advanced / 7th grade khan acadamy
Answer:
Step-by-step explanation:
both A and B are equivalent
3x^2+bx+24=0 if one of its root is 3
Answer:
Other root of equation, [tex]\frac{8}{3}[/tex]
Value of ([tex]b[/tex]), [tex]-17[/tex]
Step-by-step explanation:
The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,
[tex]y=ax^2+bx+c[/tex]
To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,
[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]
[tex](x_1)(x_2)=\frac{c}{a}[/tex]
Substitute the given values into the equation,
[tex]3+(x_2)=-\frac{b}{3}[/tex]
[tex](3)(x_2)=\frac{24}{3}[/tex]
Simplify,
[tex](3)+(x_2)=-\frac{b}{3}[/tex]
[tex](3)(x_2)=8[/tex]
Inverse operations,
[tex](3)+(x_2)=-\frac{b}{3}[/tex]
[tex]x_2=\frac{8}{3}[/tex]
Substitute in the value of ([tex]x_2[/tex]),
[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]
Simplify, convert to improper fractions and combine like terms,
[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]
[tex]\frac{17}{3}=-\frac{b}{3}[/tex]
Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,
[tex]17=-b[/tex]
Please help me out please
Answer:
Your answer is 8.06.
Step-by-step explanation:
Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:
a² + b² = c²
Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.
a is going to be your smallest leg, so in this case a = 4.
b is going to be your longest leg, so it is b = 7.
Now, you don't know what c yet is so you simply write it as:
4² + 7² = c²
Do the exponents.
16 + 49 = c²
Add.
65 = c²
Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.
√65 = √c2
Once you do that, you have your answer!
8.0622577483 = c
Now just simplify and you're done :)
8.06
Might sound hard now but you'll get the hang of it.
more slopeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: for me it must be A or C I have a picture how I find my answer.
Step-by-step explanation: Hope this help :D
Find the surface area of the regular pyramid. Write your answer as a decimal.
It has a pentagonal base of 84.3 sq cm and the dimensions of the triangles are 7 cm across and 9 cm tall.
7x9=63/2=31.5
31.5x4= 126
7x7=49
126+49=175
The surface area of the pyramid would be 175cm^2
The product of 3 and 2, increased by 5 to the second power , minus the quotient and 8 and 2
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 27
Explanation:
(3x2) + 5^2 - 8 / 2 = 27
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
need help just need the answer need asap
Answer:
about 236.715 ft²
Step-by-step explanation:
area of a circle = πr²
so π7.5² = 176.7145868
area of a rectangle is b × h
so 15 × 4 = 60
60 + 176.7145868 = 236.7145868 ft² ≈ 236.715 ft² (for the nearest thousandths)
Write each percent as a decimal.
Draw a diagram or number line to
illustrate each percent.
a) 120% b) 250% c) 475%
d) 0.3% e) 0.53% f) 0.75%
Answer:
1.20 2.50 4.75 0.003 0.0053 0.0075
Step-by-step explanation:
Divide each percent by 100 to get the decimal form.
Sorry for not showing a diagram, but I hope this helps!
y – 1.02 = 4.7
solve for y
Answer:
y=5.72
Step-by-step explanation:
Let's solve your equation step-by-step.
y−1.02=4.7
Step 1: Add 1.02 to both sides.
y−1.02+1.02=4.7+1.02
y=5.72
Answer: y=5.72
Step-by-step explanation:
4.7 plus 1.02 equals 5.72
5.72 minus 1.02 equals 4.7
x^2 - 9x = x + 24 solve for x
Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 9x = x + 24 ( subtract x + 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
(x + 2)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 12 = 0 ⇒ x = 12
if U=π (r+h),find the value of "r" when U=16 whole 1 upon 2 and h=2
Answer:
r = 3 1/4
Step-by-step explanation:
Here, we want to find the value of r given the values
Firstly, we will write r as the subject of the formula
U = π ( r + h)
U/π = r + h
r = U/π - h
Now substitute;
U = 16 1/2 = 33/2
h = 2
π= 22/7
r = 33/2/22/7 - 2
r = (33/2 * 7/22) - 2
r = 21/4 - 2
r = (21-8)/4
r = 13/4 = 3 1/4
What is the surface area of the solid?
Answer:
120
Step-by-step explanation:
Can someone help find what C is?
Answer:
the first one is 10
the second one is 12.65
Step-by-step explanation:
hope this will help u
Hello there!
Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].
For problem number 7, we plug 6 and 8 in for a and b. Like this:
[tex]6^{2} + 8^{2} = c^{2}[/tex]
Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.
64 + 36 = 100
Then, we take the square root of 100 to get c.
[tex]\sqrt{100} = 10[/tex]
(There's something special about this triangle. If you want I'll tell you about it in the comments.)
For problem number 8, we do the same exact thing.
[tex]4^{2} + 12^{2} = c^{2}[/tex]
[tex]4^{2} = 16[/tex] and [tex]12^{2} = 144[/tex]
[tex]144 + 16 = 160[/tex]
[tex]\sqrt{160} = 8\sqrt{10}[/tex]
I hope this helps!!
Question 1 of 14
Sofia's family members are choosing numbers to see in
what order they will choose gifts. They will spin a spinner
with eight sections. The sections are numbered 1 through
8, and all sections are the same size.
What is the probability of spinning a number greater than 3?
A.
8
5
B.
3
8
8
Answer:
c
Step-by-step explanation:
count
Answer:
C
Step-by-step explanation:
Hi! Please explain how you got your answer thanks! :))
Answer:
a + b = 780
Step-by-step explanation:
If we subtract the two equations we can ”eliminate“ a and b and find the value of z.
a-a = 0
b-b = 0
-10z = -700
z = 70
now we have to subistitute this value in the two equations
a + b -4(70) = 500
a + b + 6(70) = 1200
a+b - 280 = 500
a + b + 420 = 1200
If we simplify we have
a + b = 780
a + b = 780
BRAINLIEST!!! See pic BELOW!!!
Answer:
160° = (10x + 50°) [Vertically Opposite Angles]
[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]
Option A. 11 is the correct answer.
Which translation vector moves every point of a pre-image 4 units left and 6 units up?
F. (4, -6)
G. (-4, 6)
H. (-6, 4)
J. (6, -4)
Answer:
G(-4,6)
Step-by-step explanation:
Here, we want to write a translation
moving left means we are to subtract the number of units from the original
So we have this as -4
Moving up means we are to add the number of units to the original
So we have this as +6 = + 6 units
So the answer here will be;
(-4,6)
G. (-4, 6).
Given translation is 4 units left and 6 units up.
For left we use negative sign. And for up was use plus sign.
So the translation vector is (-4, 6).
Find out more information about the translation here: https://brainly.com/question/12861087
Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after weeks.
Answer:
The function that models the total amount of money Julio has after weeks is:
f(x)=150+10x, where:
x is the number of weeks
Step-by-step explanation:
With the information provided, you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:
f(x)=150+10x, where:
x is the number of weeks
Answer: f(x)=150+10x,
Step-by-step explanation: