Answer:
32.48 square inches
Step-by-step explanation:
The area of a polygon is [tex]A=\frac{nsa}{2}[/tex] where [tex]n[/tex] is the number of sides of the polygon, [tex]s[/tex] is the side length of the polygon, and [tex]a[/tex] is the length of the apothem.
We are given the polygon is a heptagon, so it has 7 sides, making [tex]n=7[/tex]
We are given the heptagon's side length is 3.2 inches, making [tex]s=3.2[/tex]
We are also given an apothem of 2.9 inches, making [tex]a=2.9[/tex]
Therefore, by using the formula for the area of a polygon, we get[tex]A=\frac{nsa}{2}=\frac{7*3.2*2.9}{2}=\frac{64.96}{2}=32.48[/tex]
In conclusion, the area of the heptagon is 32.48 square inches
please help
9(8-x) =3x
Answer:
x=6
Step-by-step explanation:
I don't know if you are solving for x but x=6
9(8 - x) = 3x
Multiply 9x8 and 9-x
72 - 9x = 3x
Add the 9x
72 = 3x + 9x
Add 3x+9x
72 = 12x
Divide 12x/12 and 72/12
12x/12 = 72/12
x = 6
Answer:
9(8 - x) - 3x
⇛72 - 9x - 3x
⇛72 - 12x
⇛12x = 72
⇛x = 72/12
Therefore, x = 6. Ans.
2/3 x -2 1/4 x -1 1/2
Answer:
2/3 x -2 1/4 = -1.5
1.5 x 1 1/2 = 2.25
Answer:
9/4
Step-by-step explanation:
2/3 × -2 1/4 - 1 1/2
=2/3 × -9/4 × -3/2
=9/4
Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.
Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice.
Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice.
Which two recipes will taste the same, and which one will taste different? Explain or show your reasoning
f(x) = 4x-5; f(-2)
please help
Answer:
f(x)=-13
Step-by-step explanation:
Substitute x with -2
4 times -2 is -8
-8-5 is -13
Thus f(x)=-13
Hope this helps!
find a series expansion for pi using the Maclaurin expansion for arctan(x) and the fact that tan(pi/4)
Recall that for |x| < 1, we have
[tex]\displaystyle \frac1{1-x} = \sum_{k=0}^\infty x^k[/tex]
It follows that, for |-x²| = |x|² < 1, or just |x| < 1,
[tex]\displaystyle \frac1{1+x^2} = \frac1{1-(-x^2)} = \sum_{k=0}^\infty (-x^2)^k = \sum_{k=0}^\infty (-1)^k x^{2k}[/tex]
Taking the antiderivative of both sides gives us
[tex]\displaystyle \arctan(x) = C + \sum_{k=0}^\infty \frac{(-1)^k}{2k+1} x^{2k+1}[/tex]
where C is a constant, which we determine to be 0, since taking x = 0 on both sides makes the series vanish, while arctan(0) = 0 since 0 = tan(0). So
[tex]\displaystyle \arctan(x) = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1} x^{2k+1}[/tex]
Since tan(π/4) = 1, it follows that π/4 = arctan(1), so in the series we replace x = 1, then solve for π :
[tex]\displaystyle \arctan(1) = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1} 1^{2k+1}[/tex]
[tex]\displaystyle \frac\pi4 = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1}[/tex]
[tex]\displaystyle \pi = \sum_{k=0}^\infty \frac{4(-1)^k}{2k+1}[/tex]
[tex]\pi = 4 - \dfrac43 + \dfrac45 - \dfrac47 +\cdots[/tex]
The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function? plsss help yall i need the answer for a disscussion and this teacher NEVER give anybody an 100% on disscussions so at least get me an 80
Answer:
I notice that the first group of points contain multiple Y Values for the same X. Notice how 0 could be 1 or 5. The second group has a unique Y for every X. A function is a deterministic system where, given a X, it will map exactly one Y value.
Step-by-step explanation:
let's get 100
I already figured out one i think need help ASAP!!!!
Answer:
I would help if i remembered how to do this sorry
Step-by-step explanation:
GL!!
y=varies directly as x, if y=22 when x=-11, find x when y=88
Answer:
x=-44
Step-by-step explanation:
y=22 x=-11
y=88 x=?
y/x=22/-11=-2
88/x=-2
-2x=88
x=-44
Help find the area of this kite
Answer: most likely 508.5.
Step-by-step explanation: i am not an expert but i think its that. some information was missing but the formula is (1/2) x D1 x D2, (d1 being the vertical line and d2 being the horizontal line) hope it helps.
Write 81.509 in expanded form
Answer:
81.509 =
80
+ 1
+ 0.5
+ 0.00
+ 0.009
Expanded Factors Form:
81.509 =
8 × 10
+ 1 × 1
+ 5 × 0.1
+ 0 × 0.01
+ 9 × 0.001
Expanded Exponential Form:
81.509 =
8 × 101
+ 1 × 100
+ 5 × 10-1
+ 0 × 10-2
+ 9 × 10-3
what is the value of W?
So, Q is the mid-point of UR.
Similarly, UT = TSSo, T is the mid-point of US.
So, QT is parallel to RS and half of it.Given, QT = w and RS = w + 37Therefore, QT = 1/2 RSor, w = 1/2(w + 37)
or, w = w/2 + 37/2
or, w - w/2 = 37/2
or, w/2 = 37/2
or, w = 37/2 × 2
or, w = 37.
Answer:The value of w is 37.
Hope it helps.
Do comment if you have any query.
math help .................................
Answer:
d.29
Step-by-step explanation:
10/3 * 87/10 = 870/30
simplify & get 29
please help I will make you Brainliest (show working)
Step-by-step explanation:
look at the photo...............
What is the value of y in 42y = 8,526?
Answer:
y=203
Step-by-step explanation:
area of a circle
mathematics
Answer:
C
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
15/2 = 7.5
7.5 = radius
Plug 7.5 into the formula:
[tex]\pi 7.5^2[/tex] = 176.71
Closest answer to 176.71 = 176.625
Answer would be C.
B) Determine the quadratic function whose zeros are -2 and 5/2
Please help !
Evaluate the function when x=-2, 0, and 5
r (x) = -x- 7
r1-2)=
r(O)=
r(5)=
Answer:
r(-2)= -5
r(0)= -7
r(5)= -12
Carter, a forward on his school basketball team, has played in 8 games since starting high school. The number of points he scored at those games was:
5 points1 point4 points6 points2 points5 points2 points2 points
What was the median number of points scored?
Answer:
2 and 4 are the medians
Step-by-step explanation:
what is an expression of quotient of c and 4
Answer: c divided by 4 or c/4
Is triangle ABC a right triangle
Answer:
It depends
Step-by-step explanation:
There is no data included, but if a triangle contains a 90 degree angle, it is right.
What is an equation of the line that passes through the point (-7,-6)(−7,−6) and is parallel to the line x-y=7x−y=7?
Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
will give brainliest!!!
Answer:
B
Step-by-step explanation:
james borrows Php 700000 and promises to pay the principal and interest at 15% compounded monthly. How much must he repay after 7 yrs?
Answer:
A = $ 1,987,379.10 + 700,000= $2,687,379.10
Step-by-step explanation:
15% = 0.15 rate per tear
A = P (1+r/n)^nt
A = 700,000 (1+0.015/12)^12*7
A = 700,000 (1+0.0125)^84
A = 700,000 ((0.9875)^84
A = 700,000 (2.839113)
James will have to pay PHP 1987379.1 after 7 years.
What is the interest rate?The percentage that a lender adds to the amount of money lent to them is called an interest rate.
Given that, James borrowed, 700000 at an interest rate of 15% compounded monthly.
The formula for the final amount in compound interest is:
A = P (1 + r/n)ⁿˣ
Where P is the principal amount, n is the number of times of compounding in a year, r is the interest rate, and x is the time in years.
Substitute the values in the formula:
A = 700000(1 + 15%/12)¹²⁽⁷⁾
A = 700000( 1 + 0.15/12)⁸⁴
A = 700000(1.0125)⁸⁴
A = 1987379.1
Hence, James will have to pay PHP 1987379.1 after 7 years.
Learn more about the interest rates:
https://brainly.com/question/13324776
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4.8 x 2 What is it please can you please show how you did it aswell
Answer:
9.6
Step-by-step explanation:
4.8 x 2 = 9.6
₁ 4.8
x 2
----------
9.6
Or
4 x 2 = 8
0.8 x 2 = 1.6
8 + 1.6 = 9.6
Answer:9.6
Step-by-step explanation: u just do it like how u normally mult and then bring the decimal downHELP ITS DUE
Use the expression -1/3 - (-5/12)
Answer:
__
[tex]\large\boxed{\mathfrak{0.08333}}[/tex]
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
Subtract negative is addition: -1/3 - (-5/12) = -1/3 + 5/12
1/3 = 4/12
-4/12 + 5/12 = 1/12
Brian invests £990 into his bank account. He receives 5.2% per year simple interest. How much will Brian have after 2 years?
Answer:
£1092.96
Step-by-step explanation:
Amount of money Brian has after 2 years
= 2(5.2% × £990) + £990
= £102.96 + £990
= £1092.96
SOMEONE HELP ME
find the constant (k) of porportionality 2y=48x
Answer:
I think 24
Step-by-step explanation:
In this
2y=48x
_______
2 2
Y=24x
This might help you
what is the value of d in 3/4(8x-6)-2=1/2-x
Answer: 32/35
Step-by-step explanation:
got it correct
Find an equation of the line parallel to Y = 2x+3 and that passes through the point (5,3)
7/8=21/n plz this is due tomorrow
