Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
The figure is made of rectangular prisms. What is the volume?
6 cm
15 cm
10 cm
3 cm
6 cm
3 cm
3 cm
3 cm
318 cm
225 cm
13
159 cm
Suppose the sample space for a continuous random variable is 0 to 50. If the
area under the density curve for the variable from 0 to 38 is 0.76, what is the
area under the density curve from 38 to 50?
A. 0.34
B. 0.924
C. 0.76
D. 0.24
Answer:
0.24
Step-by-step explanation:
What is 42.8 on its standard form???
Answer:
[tex]4.28 \times 10^{1}[/tex]
Step-by-step explanation:
[tex]42.8 \times 10^0=42.8[/tex]
[tex]4.28 \times 10^{1}=42.8[/tex]
Answer:
42.8 x 10^0
Step-by-step explanation:
A. Standard Form
Ax + By = C.
A, B, C are integers (positive or negative whole numbers)
No fractions nor decimals in standard form.
Traditionally the "Ax" term is positive.
Simplify ^4 sqrt 16x^8y^12z^4
Answer:
Step-by-step explanation:
[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]
What is the length of the unknown leg in the right triangle?
A right triangle has a side with length StartRoot 23 EndRoot yards and hypotenuse with length StartRoot 87 EndRoot yards
Answer:
8Step-by-step explanation:
A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;
[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]
Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;
[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]
The length of the unknown leg in the right triangle is 8
Answer:
a. 8 yd
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{87}[/tex]
Length = [tex]\sqrt{23}[/tex]
x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²
x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²
x² = 87 - 23
x² = 64
[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]
x = 8 yd
If a large tree is 22 feet tall and a smaller tree is 3/4 of the larger tree's height, then how tall is the
smaller tree?
Answer:It should be 16.5 or 16 1/2.
Step-by-step explanation:
22•3/4
The number 100 is decreased to 36. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
50%
Step-by-step explanation:
Is my answer to this problem right?
Answer:
Yes
Step-by-step explanation:
1/3 = 3 in 1
3(1) = 3
3 x 12 = 36
So 36 is correct
Answer:
I’m pretty sure you are correct.
For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?
Answer:
40 adults and 140 kids
Step-by-step explanation:
Answer:
40 adults
Step-by-step explanation:
40 adults and 140 kids
20 times 7 is 140
40 plus 140 is 180
Simply
(3x^2 y^3/x^3)^3
The answer is 27y^9/x^3
if multiple choice the answer is 27x^6 y^9/x^9
Pictures so you can see
Answer:
[tex]=\frac{27y^9}{x^3}[/tex]
Step-by-step explanation:
[tex]\left(\frac{3x^2y^3}{x^3}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{3x^2y^3}{x^3}\right)^3=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\=\frac{\left(3x^2y^3\right)^3}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(3x^2y^3\right)^3:\quad 27x^6y^9\\=\frac{27x^6y^9}{\left(x^3\right)^3}\\\mathrm{Simplify}\:\left(x^3\right)^3:\quad x^9\\=\frac{27x^6y^9}{x^9}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]
[tex]\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\\frac{x^6}{x^9}=\frac{1}{x^{9-6}}\\=\frac{27y^9}{x^{9-6}}\\\mathrm{Subtract\:the\:numbers:}\:9-6=3\\=\frac{27y^9}{x^3}[/tex]
Use the following information for #18
Connor makes $120 for every 10 hours he works.
#18 How much does Connor make per hour?
Answer:
$12
Step-by-step explanation:
u do 120 divided by 10 which gives u 12 which gives u per hours
hope this helps
A school organization sells T-shirts for a fundraiser. Youth sizes sell for $10 each, and adult sizes sell for $15 each. The organization sells a total of 220 shirts for $2,375. How many adult-sized T-shirts did the organization sell?
Answer:
35 adult shirts were sold
Step-by-step explanation:
10y+15a=2375
y+a=220
y=220-a
10(220-a)+15a=2375
2200-10a+15a=2375
2200+5a=2375
5a=175
a=35
35 adult shirts were sold.
What is the value of 4x- 7 when x=4?
Answer:
9
Step-by-step explanation:
4x- 7
Let x=4
4*4 - 7
16 -7
9
Answer:
9
Step-by-step explanation:
4(4)-7=16-7=9
15 POINTS!!!
Solve 3(−3−3x)+4=−5.
The solution is x=___
I need help due today online school sucks I only need the answer to 6 and 7
Answer:
6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,
30 glasses = x6
45 glasses = x 9
60 glasses = x 12
75 glasses = x15
= 30, 45, 60,75
But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n then 55 = 11n and stands out as 11 boxes as an offset amount of glasses where 5 are in each box.
7. Robert is incorrect as 25 x 5 = 125 and not 120
as 120 and 125 glasses can be divided to check
125/25 = 5 and could be correct if he wanted spare glasses = 1 spare box.
But when we check 120/25 = 4.8 so this would be too many boxes as he would only need 24 boxes.
24 x 5 = 120 glasses.
Step-by-step explanation:
write a function rule that relates r and t.
Input r: -2, 0, 2, 4, 6
Output t: 0, -1, -2, -3, 1
Answer: [tex]t=-\frac{1}{2}r- 1[/tex]
Step-by-step explanation:
For a lineal equation [tex]t=mr+n[/tex]
For r=0 and t=-1
[tex]-1=m(0)+n\\n=-1[/tex]
For r=-2 and t=0
[tex]0=m(-2)-1\\m(-2)=1\\m=-\frac{1}{2}[/tex]
Them [tex]t=-\frac{1}{2}r- 1[/tex]
???? The output for 6 is 1????
Which properties justify the steps taken to solve the system? {3x−2y=104x−3y=14 Drag and drop the answers into the boxes to match each step.
Answer:
Just took it!
Step-by-step explanation:
The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:
Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}
Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}
Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}
Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}
Therefore, the solution to the system is (x, y) = (2, -2).
Learn more about simultaneous equations here:
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Drag each tile to the correct box. Match the expression to the exponent property that you use first to simplify the expression.
sorry i did the best i could
9-1-1 Math EMERGENCY PLS HELP WILL GIVE BRAINLY AND 30 points
Pls solve just one queastion
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Give me brainly
Five times the smallest of three consecutive odd integers is seven more than twice
the largest. Find all three consecutive odd integers.
Answer:
5, 7, 9
Step-by-step explanation:
Using the information given we get:
[tex]5x-7=2z[/tex]
[tex]x+2=y\\y+2=z\\x+4=z[/tex]
[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]
Add 7 to both sides
[tex]5x=2x+15[/tex]
Subtract 2x from both sides
[tex]3x=15[/tex]
Divide both sides by 3
[tex]x=5[/tex]
Using these equations:
[tex]x+2=y\\y+2=z\\x+4=z[/tex]
and
[tex]x=5[/tex]
We get:
[tex]x=5\\y=7\\z=9[/tex]
What is the solution to the system of linear equations?
2x + y = 7
x - 2y = 16
A)(4,-1)
B)(-1,9)
C)(6,-5)
D)(-5,6)
Answer:
(6, -5) (Answer C)
Step-by-step explanation:
Multiply the first equation by 2. We get the following equivalent system:
4x + 2y = 14
x - 2y = 16
------------------
5x = 30, or x = 6.
Substituting 6 for x in the second equation, we get
6 - 2y = 16, or
- 2y = 10, so that y = -5
and the solution is (6, -5) (Answer C)
does anybody know the answer to this equation? // * ANSWER ASAP *
Answer:
radius
Step-by-step explanation:
AJ is half the distance across the circle (radius).
please help me i’ve been stuck on this
Answer:
The odd that B draws an ace is 3/51 or 1/17
No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think
I need help please thanks
Answer:
1/6
Step-by-step explanation:
Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?
A.10
B.15
C.20
D.30
Answer:
C. 20
Step-by-step explanation:
105 + 9.5x = 14.75x
105 = 5.25x
20 = x
Mouse population is 25,000 and is decreasing at a rate of 20% per year what is the population of mice after 3 years
Answer:
10,000
Step-by-step explanation:
3 years x 20% = 60%
60% of 25000 is 15000
25000 -15000 = 10,000
If the measure of arc AB is 50 degrees what is the measure of its inscribed angle ACB?
Answer:
87
Step-by-step explanation:
or 130. let me know if I'm wrong
If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
The measure of arc AB = 50°
The measure of its inscribed angle ACB = ?
Here, ACBP will make a quadrilateral
And, the sum of opposite angles of quadrilateral is 180°
So, ∠ACB + ∠AB = 180°
⇒ ∠ACB = 180° - 50°
⇒ ∠ACB = 130°
Hence, the measure is 130°
To know more about angle check:
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please answer this !!!!!
Answer:
The slope is -3/1.
Step-by-step explanation:
Using Equations to Compare Linear Functions
Consider the function and its inverse:
f(x) =
) = x -2
-(x) = (x + 2)
The slope, a, of the inverse function is
and the x-intercept of the inverse function is at x =
Intro
Answer:
[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=\frac{x}{3}-2[/tex]
[tex]f^{-1}(x)=a(x+2)[/tex]
To find: slope, a, of the inverse function and the x-intercept of the inverse function
Solution:
Let [tex]y=f(x)=\frac{x}{3}-2[/tex]
[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]
So, [tex]f^{-1}(x)=3(x+2)[/tex]
On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]
To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]
The slope, a, of the inverse function is 3 , and the x-intercept of the inverse function is at x = -2 .
question in attachment
Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{8}[/tex] = 1530 and r = 2, thus
[tex]\frac{a_{1}(2^{8}-1) }{2-1}[/tex] = 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6