Find the area of each regular polygon. Round your answer to the nearest tenth. Show your work.
a. Octagon with side lengths 5in.
b. Hexagon with radius 5in
Answers
a) approx. 120.71 in^2
b) approx. 86.603 in^2 (if 5 = INRADIUS)
approx. 64.952 in^2 (if 5 = CIRCUMRADIUS)
Plenty of sources and calculators online
Related Questions
The volume of a fish tank is 20 cubic feet. If the density is 0.2 fish over feet cubed, how many fish are in the tank? (1 point)
Answers
0.2 = n / 20
n = 20*0.2 = 4
there are 4 fish in the tank.
Answer : The number of fish present in the tank are, 4 fish.
Step-by-step explanation :
As we are given that the volume of a fish tank is 20 cubic feet and density is 0.2 fish over feet cubed.
Now we have to determine the number of fish in the tank.
As, in 1 cubic feet tank the number of fish present in tank = 0.2 fish
So, in 20 cubic feet tank the number of fish present in tank = 20 × 0.2 fish
= 4 fish
Therefore, the number of fish present in the tank are, 4 fish.
Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.
-m not equal to n
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
Answers
Answer: B, C, and D
Step-by-step explanation:
Just did it and got the answers wrong so these are the correct ones
Answer:
B, C, D
Step-by-step explanation:
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of balls. Assume the relationship is linear. Which equation models the relationship between the volume, x, and the number of balls y ?
A).y=0.25x+10
B).0.25x
C).y=4x
D).y=4x+60
Answers
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
[tex]m= \frac{60-40}{15-10} [/tex] and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x
The formula for the volume of a pyramid is V=13BhV=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).
h=B3Vh=B3V
h=V3Bh=V3B
h=3VBh=3VB
h=3BV
Answers
[tex]V = \frac{1}{3}Bh \ \ \to \ \ h= \cfrac{V}{ \frac{1}{3}B } = \cfrac{3V}{B} [/tex]
To solve for the height h in the volume formula V = 1/3Bh for a pyramid, the formula needs to be rearranged to h = 3V/B by first multiplying both sides by 3 and then dividing by B.
The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base and h is the height. To solve for the height, h, we need to rearrange the formula.
Starting with V = 1/3Bh, we want to isolate h:
Multiply both sides of the equation by 3 to cancel out the fraction: 3V = Bh.
Next, divide both sides by B to solve for h: h = 3V/B.
The correct formula to solve for height is h = 3V/B.
Which of the following could not be a value of n? side lengths of 9 and 13
a. 7
b.10
c. 13
d. 22
Answers
a rectangle has an area of 12m and a width of 400cm. what is the length?
Answers
hope it helped :)
Which of the following steps could be used as a shortcut method to multiply 12 by 50
Answers
1. Compute 12*5
2. Add a zero at the end of the product
Another way (which is slightly longer):
1. Split 50 into 10*5
2. Multiply 12*5 to get 60
3. Multiply 60*10 to get 600
Best explained and correct answer gets brainliest.
Answers
value = 45 x (1+0.015)^15
45 x 1.015^15=
45 * 1.25 = 56.26
answer is B $56.26
Choose one of the factors of x3 + 343
Answers
The factorization for x³ + 343 is (x + 7)(x² - 7x + 49)
I hope that helps!
Write the complex number in polar form. express the argument in degrees. 4i
a. 4(cos 0° + i sin 0°)
b. 4(cos 270° + i sin 270°)
c. 4(cos 90° + i sin 90°)
d. 4(cos 180° + i sin 180°)
Answers
The only way to solve these is to test each choice such that its final answer would be 4i. These are important equivalents to know:
sin 0° = 0 cos 0° =1
sin 90° =1 cos 90° =0
sin 180° =0 cos 180° = -1
sin 270° = -1 cos 270° = 0
Using these values, let's simplify each choise.
A. 4(1 + i (0)) = 4
B. 4(0 + i (-1)) = -4i
C. 4(0 + i (1)) = 4i
D. 4((-1) + i (0)) = -4
The answer is C.
Final answer:
The complex number 4i in polar form is 4(cos 90° + i sin 90°), which matches choice (c). The magnitude is 4, and the argument is 90° since 4i lies on the positive imaginary axis.
Explanation:
To convert the complex number 4i to polar form and express the argument in degrees, we should consider the general polar form of a complex number which is r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the argument of the complex number. The complex number 4i has a real part of 0 and an imaginary part of 4. Therefore, its magnitude is 4 and it lies on the positive imaginary axis. In the complex plane, this corresponds to an angle of 90° or 270° from the positive real axis. Since it is on the positive imaginary axis, the correct angle is 90°.
The correct polar form of the complex number 4i is 4(cos 90° + i sin 90°), which corresponds to choice (c).
Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1
Answers
is the equation i come up with which would have no solutions.
if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?
Answers
=>
7x + 6 = 90
=>
7x = 84 => x = 84/7 = 12
<2 = 4x + 10 = 4*12 + 10 = 48 + 10 = 58
The answer is: 58
Answer:
The measure of ∠ 2 in 58° .
Step-by-step explanation:
As given
if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .
As shown in the picture given in the question
90° + ∠1 + ∠2 = 180°
(By linear pair property)
Put the value of ∠1 and ∠2 in the above
90° + (3x -4)° + (4x+10)°= 180°
90 + 3x -4 + 4x + 10 = 180
7x + 6 = 180 - 90
7x + 6 = 90
7x = 90 -6
7x = 84
[tex]x = \frac{84}{7}[/tex]
x = 12
Put the value of x in the (4x+10)° .
∠2 = (4 × 12 + 10)°
∠2 = 58°
Therefore the measure of ∠ 2 in 58° .
What is the value of y in the product of powers below?
Answers
when multiplying you add the powers
3 +-5 = -2 so the power for y = 0
The area of the trapezoid is 40 square units.
What is the height of the trapezoid? __ Units
Answers
When you input 40 for A and 6 for a and 10 for b, then you should get 5
hope this helps:))
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 and b2 are the parallel bases of the trapezoid
h is the height of the trapezoid
In this problem we have
[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]
substitute in the formula
[tex]40=\frac{1}{2}(6+10)h[/tex]
Solve for h
[tex]40*2=16h[/tex]
[tex]h=80/16=5\ units[/tex]
therefore
the answer is
The height of the trapezoid is [tex]5\ units[/tex]
Factor 5k 2 - 35k 3.
A. 5k2(1 - 7k)
B. 5k3(1 - 7k)
C. 5k(1 - 7k2)
Answers
Answer:
The correct answer is A) 5k^2(1 - 7k)
Step-by-step explanation:
To factor, take out the greatest common multiple. Each term has a factor of 5 that can be taken out as a constant and k^2 as a variable. Take both of these out and divide each term by that expression.
5k^2(1 - 7k)
its A) 5k^2(1 - 7k) :)
The sum of a certain number and 3 times the number is 40. what is the number?
Answers
4n = 40
n = 40/4
n = 10 <==
The value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The sum of a certain number and 3 times the number is 40
Let the number is x
From the question, we can frame a linear equation in one variable
3x + x = 40
Adding like terms:
4x = 40
Divide by 4 into both sides
x = 40/4
x = 10
Thus, the value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ6
Take a look at the table of possible outcomes when a pair of fair dice is rolled. What is the probability that the sum of the numbers rolled is either even or a multiple of 5?
Answers
There are 1+3+5+5+3+1 = 18 cases where this happens
Now mark the entries that are 5 or 10. There are multiples of 5. There are 4+3 = 7 cases of either 5 or 10.
If we add up 18 and 7, we get 18+7 = 25. Now subtract out the cases where we get both an even number AND a multiple of 5. So the three tens are counted twice. We go from 25 to 25-3 = 22
Divide this value (22) over the total number of outcomes (6*6 = 36). Doing this gets us
22/36 = 11/18
The answer is choice A
Answer:
He is correct
Step-by-step explanation:
Write equations for the vertical and horizontal lines passing through the point (8, 7).
Answers
that means x = 8 and y = 7.
The vertical line (// to y-axis) passing through A, will have always x = 8,
Then the equation of the vertical line is x = 8
The Horizontal line (// to x-axis) passing through A, will have always y = 7,
Then the equation of the Horizontal line is y = 7
Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?
Answers
18.32/8=2.29
Final answer: $2.29 per gallon
18.32/8 = 2.29, which represents dollars per gallon.
Find the sum of the solutions of this equation 20x^2-39x-80=0
Answers
The sum of the solutions is the coefficient with 'x', change it sign and divide by the coefficient of x^2:
sum = 39/40.
The diagonals of a parallelogram are 12 meters and 20 meters and intersect at an angle of 60°. find the length of the longer side.
Answers
Final answer:
To find the length of the longer side of the parallelogram, you can use the law of cosines.
Explanation:
To find the length of the longer side of the parallelogram, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides and the cosine of the included angle.
In this case, one of the diagonals is 12 meters and the other is 20 meters. The included angle is 60°.
Letting 'a' be the length of the longer side, we can set up the equation:
a^2 = 12^2 + 20^2 - 2(12)(20)cos(60°)= 304
a=17.43
Select the postulate or theorem that you can use to conclude that triangles are similar.
Answers
Answer:
AA similarity postulate.
Step-by-step explanation:
Two triangles which are of same shape are called similar triangles.
In the given triangles two angles are marked 90 degrees and another pair of angles are marked the same that is equal.
In the given figure:
m∠P==m∠L=90°
m∠J=m∠M.
Two angles are equal .
The AA similarity postulate states: if two pairs of corresponding angles are congruent, then the triangles are similar .
Answer :AA similarity postulate.
Answer:
AA
Step-by-step explanation:
Which of the following are binomials. (more than one answer)
A. x^11
B. 8x
C. x^2+3
D. x^4+x^2+1
E. 5/7y^3+5y^2+y
F. 6x^2+1/2y^2
Answers
its C) x^2+3 and F) 6x^2+1/2y^2 on apex
A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10 years? use the calculator provided and round your answer to the nearest square kilometer.
Answers
A = P(1-r)^t
A = 3900(1-0.08)^10
A = 3900(0.92)^10
A = 3900(0.434388454)
A = 1694.11
1694 square km
The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?
A: 296
B:148
C:116
D:206
Answers
Reflex angle XOZ = 296°
Obtuse angle XOZ = 360° - 296° = 64°
Triangle XOZ is an isosceles triangle.
∴ Angle OZX = (180° - 64°) / 2 = 58°
(Base angle of an isosceles triangle)
Angle OZW = 90°
(Tangent to circumference of circle)
Angle XZW = 90° + 58° = 148°
Answer is B.
Is the number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?
Answers
Answer:
:)
Step-by-step explanation:
Which equation represents the vertical asymptote of the graph?
Answers
In this question, with the help of the graph we have to find the vertical asymptote .
First let's check out what is vertical asymptote .
Vertical asymptotes are straight lines of the equation , toward which a function f(x) approaches infinitesimally closely, but never reaches the line.
And in the graph, the function approaches to 12 but never touches it .
So the vertical asymptote is x=12 .
The equation which represents the vertical asymptote of the graph given is; x =12.
The Vertical Asymptote of a graphThe vertical asymptote of a graph is simply a vertical line on the x-axis to which the graph of a function approaches but never touches.
By observation, the line x=12 separates the curves and both curves do not touch the line.
Ultimately, the line x=12 is the vertical asymptote of the given graph.Read more on vertical asymptote;
https://brainly.com/question/4723254
What is the surface area of a cone with a diameter of 28 cm. and height 22 cm in terms of Ï.
196Ï cm2
365Ï cm2
561.1Ï cm2
2202.8Ï cm2
Answers
To find the surface area of a cone, use this formula.
pi (r) (r + [square root of h^2 plus r^2] ) substitute
h = height = 22 r = radius = 28/2 = 14 [ ] = sq. root
pi (14) (14 + [ 22^2 + 14^2 ]) solve exponents
pi (14) (14 + [484 + 196]) add
pi (14) (14 + [680]) solve square root
pi (14) (14 + 2[170]) add
pi (14) (40.0768) multiply
pi (561.075) is about 561.1 rounded to nearest tenth
So the answer is C. 561.1pi cm^2
Name all sets of numbers to which each real number belongs
Answers
Whole Numbers:0,1,2,3,4,5,6,7,8,9,10,etc.
Counting Numbers:1,2,3,4,5,6,7,8,etc.
Natural Numbers:which is whole or counting numbers depends on the topic
Integers:-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,etc.
If AB is the midsegment, find the value of x. Show your work.
Answers
3x-1=34/2
=17
3x =18, x =6