The sum of the two interior angles of the regular pentagon will be 540°
What is a polygon?A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.
We can also calculate the sum of the interior angles of the pentagon in the following way:
We know that the sum of the interior angles of a polygon of n sides
Sum = (n – 2) × 180°.
Sum = 3× 180°= 540°.
Hence, the sum of the interior angles of a pentagon is 540°.
To know more about polygons follow
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Fizza had 9 bags of rice.She sold 1/3 of them.Find number of bags left.
Answer:
26/3
Step-by-step explanation:
first 9-1/3 then
27-1/3 =26/3
help..................
Answer:
Line A
Step-by-step explanation:
What is the quotient of 36 and -3
(WILL MAKE BRAINLIEST )
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost $20 . For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1900 . How many tickets of each type were sold?
Answer:
600 Advance tickets 1,300 same-day tickets
Step-by-step explanation:
65x20=1,300
1900-1,300=600
The ________ sum of squares measures the variability of the group means around the overall mean. Group of answer choices between within interaction total
Find the perimeter. Simplify the answer.
Answer:
34p - 16
Step-by-step explanation:
Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10
Perimeter = 16p + 18p + 4 - 20
Perimeter = 34p - 16
-Chetan K
we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]
ok done. Thank to me :>
Quadratic Transformation Worksheet Nam Write the quadratic equation,
1. y = (x - 2)2 + 0
M-ental
A-buse
T-o
H-umans
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A flagpole AB, of height 5.8 m, stands on top of a wall BC. ABC forms a straight line. The wall leans slightly so that it makes an angle of 96° with the horizontal ground CD. The angle of elevation of the top of the wall, B, from the point D is 38°. Given that BD is 27.3 m, calculate AD.
Answer:
The answer is actually 31.6 m (3 s.f.). The correct process will be use the sine rule to find out BC and CD. Then find out the length of AC by adding AB (which is 5.8 m) and BC (16.9 m after working out). Then work out the angle of CAD, which will be 46 degrees. Then use the cosine rule on triangle ACD to dine out AD.
Step-by-step explanation:
pls subs to my yt
-5/3 + 2 1/3
please help me
Answer:
Well you can convert the mixed fraction into an improper one
-5/3 + 7/3
Which is really -5 + 7 and you’d get 2
so 2/3
The answer: 2/3
I hope this helped have a good rest of ur day!
Please help ( WILL MARK BRAINLIEST)
Answer:
The bottom right
*you won't see it yourself that the answer is correct because you are working on and iReady test friend*
Step-by-step explanation:
If you map out the shape in your head and slowly fold up the flaps, then you get a rectanglular prism.
Help is appreciated ty!!
Answer:
B and C
Step-by-step explanation:
Jane found multiples of 8 instead of factors and should've gotten 1, 2, 4, and 8 as her answer.
Hope this helps :)
Answer:
B& C
Step-by-step explanation:
hope it helps
Is this a function? I don’t think it is but I’m not sure.
Answer:
no
Step-by-step explanation:
( ꈍᴗꈍ)
introduction to algebra explain
Answer:
Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.
Step-by-step explanation:
In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
Hiiii!
Here's what algebra is:
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.
In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.
Hope it helps! ( ꈍᴗꈍ)
-Nezuko
(x^2+3x+1)(x^2-2x+5)
Answer:
x^4 + x^3 + 13x + 5
Step-by-step explanation:
(05.05)
Select the inequality that corresponds to the given graph. (5 points)
Answer:
3) 4x-2y (less than) -8
Answer:
Option 3: 4x - 2y < -8
Step-by-step explanation:
Given the graph of a linear inequality with a dashed line as its boundary line:
Quick Note:To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.
Hence, we can easily rule out Option 4: 2x + 4y ≥ -16, since the solid boundary lines are used to represent linear inequalities with "≥" or "≤" symbols. Solutions:It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.
Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:
Option 1: 4x - 3y > -124x - 3y > -12
4(0) - 3(0) > -12
0 - 0 > -12
0 > -12 (True statement). Hence, the half-plane region that contains the test point must be shaded.
Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.
Option 2: x + 4y > 4x + 4y > 4
(0) + 4(0) > 4
0 + 0 > 4
0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded. Hence, Option 2 may be a valid solution.
We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:
x + 4y > 4
x - x + 4y > - x + 4
4y > -x + 4
Divide both sides by 4 to isolate y:
[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]
y > -¼x + 1 ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼. Hence, Option 2 is not a valid answer, as the graph has a positive slope.
Option 3: 4x - 2y < - 8
4x - 2y < - 8
4(0) - 2(0) < - 8
0 - 0 < - 8
0 < -8 (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.
We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:
4x - 2y < - 8
4x - 4x - 2y < -4x - 8
-2y < -4x - 8
Divide both sides by -2 to isolate y:
[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]
y < 2x + 4 ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.
Therefore, the correct answer is Option 3: 4x - 2y < -8.
can someone please help
Answer:
y = - 0.6x + 109
Step-by-step explanation:
The equation in linear form is
y = mx + c ← slope- intercept form
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table
m = [tex]\frac{76-94}{55-25}[/tex] = [tex]\frac{-18}{30}[/tex] = - 0.6
y = - 0.6x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (45, 82 ) , then
82 = - 27 + c ⇒ c = 82 + 27 = 109
y = - 0.6x + 109
Follow the steps to finish solving the equation -3x +18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
x=
Answer:
18/10
Step-by-step explanation:
got it right.
PLEASE HELP
1/3(9×+16+2)+2x
×-3+7(×+3)-3×-12
USE TWO DIFFERENT METHODS TO EXPAND 1/4(×+2×+16-8)
Answer:
Multiply 1/3 with the numbers in the parenthesis and evaluate
Step-by-step explanation:
halfway between -20 and 10
Answer:
[tex]-5[/tex]
Step-by-step explanation:
Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]
please help 7th grade math
Answer: 3.9
Step-by-step explanation: calculator
1. 39 divided by 4 divided by 2.50
Sam has 5 dogs and 2 cats. What is the ratio of cats to dogs?
Answer:
2:5
Step-by-step explanation:
2 cats per 5 dogs
£160 in the ratio 3:5 how much does Oliver get compared to sue
Answer:
8x=160x=20first num=3×20=60sec num=5×20=100
Step-by-step explanation:
Average Speed=Distance undefined ➗ Time
A Rocket took 5 minutes to travel the 185 km necessary to leave the atmosphere. How fast did the Rocket travel?
Answer:
37 km/minute
Step-by-step explanation:
Using speed formula: [tex]Speed = \frac{Distance}{Time}[/tex]
=> 185/5
=> 37 km/minute
Hoped this helped.
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Omsimmmmm Nice G UwU
Sarry Sarry
A line has this equation y=1/4x+6
Write an equation for the perpendicular line that goes through (5,-6)
PLEASEEEEE HELP…
In Exploration 3.1.2 you went through a procedure that helped you see how a formula
with n compounds per year relates to the formula for compounding continuously. Select
the appropriate answers to model what you did in the exploration.
Annual growth Rate
A (t) = P(1 + r)
n compounds per year
nt
A () = (1+ a)
a =
[Select]
n
let z = -
7
A (t) = P(1 + [b])"
b = (Select)
let n = ar
Ict
C =
[Select)
A (0) P(1)
110) - P{(x - 2)
+
2
The growth amount is given by the growth rate the duration of the growth
and how the rate is applied to each period.
The correct selections are;
a = n[tex]\displaystyle b = \frac{1}{x}[/tex]c = x·r[tex]\displaystyle \lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1[/tex]Reasons:
First part;
The given formula for the annual growth rate is; [tex]A(t) = \mathbf{P \cdot \left(1 + r)^t}[/tex]
[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{[a]} \right)^{n \cdot t}}[/tex]
Where;
P = The principal
r = The rate per period
n = The number of compounding per period
t = The number of periods
In the above formula, we have that the number of compounding per periods = n
Therefore;
a = nWhich gives the fraction of the interest applied to each period as [tex]\displaystyle \frac{r}{n}[/tex]
Which gives;
[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Second part;
When [tex]x = \displaystyle \frac{n}{r}[/tex], we have; [tex]A(t) = \mathbf{P \cdot \left(1 + [b])^{n \cdot t}}[/tex]
[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}[/tex]
Therefore;
[tex]\displaystyle b=\frac{r}{n}[/tex]
[tex]\displaystyle \frac{1}{x} = \frac{1}{\left(\frac{n}{r} \right)} =\frac{r}{n}[/tex]
Which gives;
[tex]\displaystyle b=\frac{r}{n} = \mathbf{\frac{1}{x}}[/tex]
[tex]\displaystyle \underline{ b = \frac{1}{x} }[/tex]
Third part;
Where, n = x·r, and [tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t}}[/tex]
We have;
[tex]\displaystyle x= \frac{n}{r}[/tex]
[tex]\displaystyle \frac{1}{x}=\frac{r}{n}[/tex]
[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t} = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{[c] \cdot t}}[/tex]
Which gives;
c = n = x·r
c = x·rFourth part;
If x is a really large number, we have; [tex]\displaystyle \mathbf{\left(1 + \frac{1}{x} \right)^x}[/tex]
Where x approaches ∞, we have;
[tex]\displaystyle \frac{1}{\infty}=0[/tex]
Which gives;
[tex]\displaystyle \displaystyle \left(1 + \frac{1}{x} \right)^x= \left(1 + \frac{1}{\infty} \right)^\infty = \displaystyle \left(1 + 0\right)^\infty = 1 ^\infty = 1[/tex]
[tex]\displaystyle \underline{\lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1}[/tex]Learn more about growth rate formula here:
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Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)
How to get y intercept from 2 points.
Step-by-step explanation:
What I don "t" undesrtand
your problem for The
mathematics
The approximate areas of Georgia and South Carolina are listed below:
Georgia: 1.54\times 10^{5}1.54×10^5
square kilometers
South Carolina: 8.29\times 10^{4}8.29×10^4
square kilometers
How many times larger is Georgia than South Carolina? Write your answer in standard notation, rounding to the nearest tenth.
Answer:
Step-by-step explanation:
The marked price of a bottle of shampoo at the grocery was $7. During a manufactory direct sale, a discount of 25% was given. A further 14% discount was given to those customers owning a member card. How much would a member customer need to pay for a bottle of shampoo during the sale?
Need an answer now please not a link
Answer:
$4.52 is what they'd need to pay.
Step-by-step explanation:
0.25 x 7 = 1.75
7 - 1.75 = 5.25
100 - 14 = 86
0.86 x 5.25
= 4.515 and round to the nearest hundredth