Given:
A regular pentagon with side 14 units and apothem 9.6 units.
To find:
The area round to the nearest tenth.
Solution:
Area of a regular polygon is:
[tex]A=\dfrac{1}{2}Pa[/tex] ...(i)
Where, P is the perimeter and a is the apothem.
The given figure is a regular pentagon with five sides. So, the perimeter of the given figure is the product of number of sides and the side length.
[tex]P=5\times 14[/tex]
[tex]P=70[/tex]
Putting [tex]P=70,a=9.6[/tex], we get
[tex]A=\dfrac{1}{2}(70)(9.6)[/tex]
[tex]A=(35)(9.6)[/tex]
[tex]A=336[/tex]
Therefore, the area of the regular polygon is 336.0 square units.
The total surface area of rectangular solid is 130cm².If the solid is 7cm long and 5cm wide ,calculate the height
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
x-4 in word form
Please help!
Answer:
x minus four
Step-by-step explanation:
can i have brainliest plz?
Answer and Step-by-step explanation:
The word form of the expression X - 4 is:
X minus four.
It can also be written as:
Some number minus four. (By user: iwaoiismyotp)
Any number in place of x minus 4.
A value substituted for x minus 4.
#teamtrees #PAW (Plant And Water)
What’s the percentage??
Answer:
165 a year
Step-by-step explanation:
HELP ASAP!! no links pls…
If a point is randomly picked inside the square, what is the
probability that it will be inside the circle? Round your answer to
the nearest percent.
Answer:
I would say around 45% chance it is in there while I'm just assuming because the circle is just a little less than half the square
A delivery truck is delivering 28 cases of paper to a store. Each case has 50 packs of paper. In each pack of paper there are 200 sheets,
Which expression represents the total number of sheets of paper on the truck?
O A. (28 x 50) + 200
O B. (28 +50) x 200
OC. 28 + 50 + 200
OD. 28 x 50 x 200
Answer:
a
Step-by-step explanation:
find the y intercept of the following equation. simplify your answer. y=3\4x+4\7
Answer:
i think the answer is 4/7
Step-by-step explanation:
the formula for slope is y=mx+b where b is the y-intercept and in this given equation 4/7 is in the place of b
Last week, Pamela spent 2 3/4 hours watching television. Miranda watched television for 1/2 as many hours as Pamela did. How many hours did Miranda spend watching television?
Answer: [tex]\dfrac{11}{8}\ hr[/tex]
Step-by-step explanation:
Given
Pamela spent [tex]2\ \frac{3}{4}\ hr[/tex] watching television
Miranda watched half as many hours as Pamela did
Converting mixed fraction to fraction
[tex]\Rightarrow 2\ \dfrac{3}{4}=\dfrac{11}{4}[/tex]
Half of it is Miranda watching time
[tex]\Rightarrow \dfrac{\frac{11}{4}}{2}=\dfrac{11}{8}\ hr\ \text{or}\ 1\dfrac{3}{8}\ hr[/tex]
A data set has a minimum of 7, a maximum of 22, a mean of 13, a first quartile of 10, and a third quartile of 15. What is its IQR?
The next model of a sports car will cost 5.9% more than the current model. The current model costs $36,000.
How much will the price increase in dollars?
What will be the price of the next model?
Answer:
38124 :: 2124
Step-by-step explanation:
36,000*0.059 = $2124 increase
36,000 + 2124 = $38,124 cost
Answer:
$2124 increase
$38,124 cost
Step-by-step explanation:
whats 8 over x-2 =24 over 7 in solving proportions NO LINKS
Answer:
[tex]x=\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{8}{x-2} =\frac{24}{7}[/tex]
[tex]x=\frac{1}{3}[/tex]
Simplify the square root of (x^2 -6x+ 9) if x<-3
Answer:
x^2 - 9
Step-by-step explanation:
The square root of the quadratic equation [tex](x^2 -6x+ 9)[/tex] if x<-3 would be equal to (x-3).
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given quadratic equation is
[tex](x^2 -6x+ 9)[/tex]
We have to find the square root of the quadratic equation
[tex]\sqrt{(x^2 -6x+ 9)} \\\\\sqrt{(x^2 -3x-3x+ 9)} \\\\\sqrt{x(x-3)-3 (x-3)} \\\\\sqrt{(x-3) (x-3)} \\\\\sqrt{(x-3)^2} \\\\(x-3)[/tex]
Thus, the square root of the quadratic equation [tex](x^2 -6x+ 9)[/tex] if x<-3 would be equal to (x-3).
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CAN SOMEONE ANSWER THIS PLEASE I WILL LOVE YOU
Answer:
I got 24.2 so I hope this helps you
Enter the value of p so the expression 12 - 5n is equivalent to p(6 - 2.5n
Answer:
2
Step-by-step explanation:
The tent shown has fabric covering all four sides and the floor. What is the minimum amount of fabric needed to construct the tent?
Answer:
The answer is "152 ft"
Step-by-step explanation:
Please find the attached file.
The area of the square [tex](8 \times 5=40)[/tex] can be found on the foot.
The area of the triangular front will then be calculated [tex](6\times 4=\frac{24}{2} = 12).[/tex]
Since each has two sides, [tex]24+80=104[/tex].
Therefore the multiplying the area of the bottom square [tex](6\times 8=48)[/tex]by the number of cells to get 152.
Answer:
Step-by-step explanation:
Remove the bottom of the answer. answer should not include bottom answer is 104 Sq FT
Find the expected value of the winnings from a game that has the following payout probability distribution. Round to the nearest hundreath.
The expected value of the winnings from a game will be [tex]2.96[/tex] .
What is Probability ?Probability is the ratio of the number of possible outcomes to the total number of outcomes.
we have,
Payout [tex](\$) = 0,\ \ \ 1,\ \ \ 2,\ \ \ 5,\ \ \ 10[/tex]
Probability [tex]=0.12,0.2,0.38,0.2,0.1[/tex]
So,
To find the expected value,
Now,
Multiply payout values with its probability and sum these values,
i.e.
Expected value [tex]= (0*0.12)+(1*0.2)+(2*0.38)+(5*0.2)+(10*0.1)[/tex]
[tex]=0+0.2+0.76+1+1[/tex]
Expected value [tex]=2.96[/tex]
Hence, we can say that the expected value of the winnings from a game will be [tex]2.96[/tex] .
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In a quadratic function, recall that the discriminant D = b2 - 4ac. For which function is it true that a < 0 and D = 0?
Answer:
If D = 0, then the quadratic equation has 1 solution x = − b/2a
Step-by-step explanation:
If we have a quadratic equation x² +3x-4= 0
Then the corresponding values of a= 1, b=3, c= -4
Finding the discriminant gives
D= b2 - 4ac.
D= 3²- 4(1) (-4)
D= 9 + 16
D= 25
Here a> 0
But if a< 0 e.g a= -1
D= b2 - 4ac.
D= 3²- 4(-1) (-4)
D= 9 - 16
D= -7
Here a < 0 so we get the answer -7 < 0
D= b2 - 4ac.
D= 4²- 4(-1) (-4)
D= 16 - 16
D= 0
Here a< 0 and b= - c so that D= 0
When D < 0 roots do not exist.
If D = 0, then the quadratic equation has 1 solution x = − b/2a
This can be found out by using the quadratic formula
x= -b±√b²- 4ac/ 2a
But D= 0
x= -b±0/ 2a
x= -b/2a
ok I need help yall know it but I don't
Answer:
hope its right :)
Step-by-step explanation:
area=50
prim=6
area=50
prim=16
For adults, a bowling alley charges $3.75 for shoe rental and $5 per game. For children, the cost is $2.50 for shoe rental and $4 per game. What expression represents the total cost for one adult and one child to bowl g games?
Answer:
1x+1y= 9
x= adults y= children 9= the amount they have to pay to play a game if its 1 adult and 1 child
The expression represents the total cost for adults and children:-
Ca = $3.75 + 5g
Cc = $2.50 + 4g
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that for adults, a bowling alley charges $3.75 for shoe rental and $5 per game. For children, the cost is $2.50 for shoe rental and $4 per game.
For adults the expression will be:-
Ca = $3.75 + 5g
For children, the expression will be:-
Cc = $2.50 + 4g
Hence, the expression are Ca = $3.75 + 5g and Cc = $2.50 + 4g.
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What is the inverse of f(x)=3x^2
Answer:
f^-1 (x)=sqrt(x/3), -sqrt(x/3).
Step-by-step explanation:
f(x)=3x^2
y=3x^2
x=3y^2
y^2=x/3
y=sqrt(x/3), -sqrt(x/3).
Answer:
[tex]y=3x^2[/tex]
[tex]y=3x^2[/tex]
Step-by-step explanation:
There is no step-by-step explanation because it's a graph. Well, it's how I did it. Therefore, the graph in the picture that I'm about to post will be your answer.
Milo recorded the number of hours he worked and the total amount he earned, including tips. Let h be the number of hours he worked, and let y be the total amount he earned, including tips. The equation of a line of best fit of his data is y = 12.5h +3.85. Based on the equation of the line of best fit, how much money should Milo expect to earn if he works a 5-hour shift?
Answer:
$66.35
Step-by-step explanation:
To find this answer with y=mx+b, we should first explain what it is. Y is our output or answer. M is our variable and x is the slope of our variable or how often it occurs. B, is our y intercept, our initial starting amount. Knowing this, we must figure out y. To do this we must multiply his hourly wage by the hours he works which is $12.50x5. This will get us $62.50. Now that we know how much he makes hourly, we add his initial wage of $3.85 to get us $66.35
This means he will make $66.35 if he works a full 5 hour shift.
Answer:
66.35
Step-by-step explanation:
math
Brampton is 70 kn due east of Abbott. The bearing of Corwood from Abbott is 015 degrees and from Brampton is 290 degrees. Calculate the distance between Corwood and Brampton to the nearest kilometres
I THINK YOU NEED OPEN MATH BOOK! ;)
y= 3 cos(x)+2 I need help solving this
Answer:
Use the form acos(bx−c)+dacos(bx-c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a=3a=3
b=12b=12
c=0c=0
d=0d=0
Find the amplitude |a||a|.
Amplitude: 33
Find the period of 3cos(x2)3cos(x2).
Tap for more steps...
4π4π
Find the phase shift using the formula cbcb.
Tap for more steps...
Phase Shift: 00
Find the vertical shift dd.
Vertical Shift: 00
List the properties of the trigonometric function.
Amplitude: 33
Period: 4π4π
Phase Shift: 00 (00 to the right)
Vertical Shift: 00
Select a few points to graph.
Tap for more steps...
xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude: 33
Period: 4π4π
Phase Shift: 00 (00 to the right)
Vertical Shift: 00
xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3
In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, what is a reasonable estimate for the unoccupied volume of the cube?
a: 120cm3
b: 140cm3
c: 160cm3
d: 180cm3
Answer:
C
Step-by-step explanation:
Te unoccupied volume (V) of the cube is calculated as
V = volume of cube - volume of sphere
= 7³ - [tex]\frac{4}{3}[/tex] πr³ ( r is the radius and r = 7 ÷ 2 = 3.5 )
= 343 - [tex]\frac{4}{3}[/tex] π × 3,5³
= 343 - [tex]\frac{4}{3}[/tex] π × 42.875
= 343 - 179.59438
= 163.4....
≈ 160 cm³ ( to the nearest 10 cm³ )
A statistical question has answers with _______________.
a
one answer
b
yes/no choices
c
outliers
d
variability
Answer:
d variability
Enter the value that belongs in the
green box.
50
х
11
40°
у
sin 40°
-
(X-5)^2 in quadratic standard form
for brainiest):):):):):):):)
Answer:
2. 180 3. 90 4. 90
Step-by-step explanation:
I've done this before
83 ÷ 26 =
r
there should be a remainder
Answer:
3 and 5/83
Step-by-step explanation:
I need help simplifying this problem:
If someone could explain how to do this problem, I'd really appreciate it :)
C(t)= -0.3(t-12)^2+40
C(12)= -0.3(12-12)^2+40
Thankssss, ily!
Divide. Give the exact answer, written as a decimal.
Answer:
142.32
Step-by-step explanation: