Answer:
192.6 square yards
Step-by-step explanation:
The area of a regular pentagon can be found using the formula for any regular polygon.
A = (n/2)r²·sin(360°/n) . . . . radius r, n sides
For a pentagon, the number of sides is 5, so this becomes ...
A = 2.5r²·sin(72°)
__
Using the given value of radius, the area is ...
A = 2.5(9 yd)²·sin(72°) = 2.5 · 81 · 0.951057 yd²
A ≈ 202.5 · 0.951057 yd²
A ≈ 192.589 yd²
The area of the pentagon is about 192.6 square yards.
_____
Additional comment
We're not sure what "six steps" you're supposed to follow. The necessary steps appear to be ...
determine an appropriate area formula for the given informationevaluate the formula for the given dimensionsHere, the formula for a pentagon can be simplified somewhat by precomputing the value of 2.5×sin(72°) ≈ 2.37764129074. Then the formula for the area is ...
A = 2.37764129074·r² . . . . . area of regular pentagon with radius r
Annabeth logged onto her computer for school at 1:09 pm she paused for a snack break for 30 minuted then started again and then she logged off at 3:47 pm. How long was Annabeth on the computer for?
Starting time:-
1:09PM=13:09+0:30=13:39Now
Ending time:-
3:47PM=15:47PMTotal active time:-
15:47-13:392:08hoursOr
2hours 8minAnswer:
2 hours 8 minutes
Step-by-step explanation:
Let the total amount of time of Annabeth's being on the computer be x hours
since she paused using computer for a snack break for 30 minuted, our x turns out to be
[tex]x+0:30[/tex]
The initial time is 1:09 pmThe final time is 3:47 pmThus our equation would like
[tex]1:09+x+0:30=3:47[/tex]solving the equation yields:
[tex]1:09+x+0:30=3:47\\\implies 1:39+x=3:47\\\implies x=3:47-1:39\implies \boxed{x=2:08}\rm hours [/tex]
hence,
Annabeth was on her computer for 2 hours 8 minutes
Note:
1 Hour=60 minuteshelp please ! brainliest to first correct answer
What is the solution for x2 –18x < –77?
x < –11 or x > 7
x < –7 or x > 11
–11 < x < 7
7 < x < 11
Question 2(Multiple Choice Worth 2 points)
(07.01 LC)
A two-variable inequality is shown in the graph.
upward opening parabola which is dashed with vertex at 1 comma 2, travels through points negative 1 comma 6 and 3 comma 6, with shading inside the curve
Which point is not included in the solution set for the inequality?
(–1, 3)
(0, 4)
(1, 5)
(2, 4)
Question 3(Multiple Choice Worth 2 points)
(07.01 MC)
Which graph represents the solution of y ≤ x2 + 2?
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading outside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading outside parabola
Question 4(Multiple Choice Worth 2 points)
(07.01 MC)
What is the range of the function f(x) = |x| + 5?
R: {f(x) ∈ ℝ | f(x) < 5}
R: {f(x) ∈ ℝ | f(x) ≥ 5}
R: {f(x) ∈ ℝ | f(x) > 5}
R: {f(x) ∈ ℝ | f(x) ≤ 5}
Question 5(Multiple Choice Worth 2 points)
(07.01 MC)
What is the solution to the inequality |2x + 3| < 7?
4 < x < 10
–5 < x < 2
x < 4 or x > 10
x < –5 or x > 2
The questions are illustrations of inequalities
The solution to the inequality is 7 < x < 11The range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}The solution to the inequality is x < –5 or x > 2The solution to the inequalityThe inequality is given as:
x² - 18x < -77
Add 77 to both sides
x² - 18x + 77 < 0
Expand the inequality
x² - 7x - 11x + 77 < 0
Factorize the inequality
x(x - 7) - 11(x - 7) < 0
Factor out x - 7
(x- 7)(x - 11) < 0
Solve for x
x < 7 or x < 11
This means that the solution to the inequality is 7 < x < 11
The graph that represents the solutionThe inequality expression is given as:
y ≤ x² + 2
See attachment for the graph of the inequality
The range of the functionThe function is given as:
f(x) = |x| + 5
The smallest value of |x| is 0.
So, we have:
f(x) > 0 + 5
Evaluate
f(x) > 5
Hence, the range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}
The solution to the inequalityThe inequality expression is given as:
|2x + 3| < 7
Remove the absolute expression
2x + 3 < 7 or 2x + 3 < -7
Subtract 3 from both sides
2x < 4 or 2x < -10
Divide both sides by 2
x < 2 or x < -5
Hence, the solution to the inequality is x < –5 or x > 2
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Enter and solve an equation to find the complement of an angle that measures 38º.
Use x as your variable.
An equation is
The measure of x is
Answer:
52°
Step-by-step explanation:
The sum of an angle and its complement is 90°.
__
The sum of 38° and its complement, x, is 90°:
38 +x = 90 . . . . . an equation to find the complement of 38°
x = 90 -38 . . . . subtract 38 from both sides
x = 52 . . . . degrees
The measure of x is 52°.
3. Over what interval is the function decreasing?
The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Answer:
x∈(-∞; 0).
Step-by-step explanation:
1) the given function is a parabola with its vertex in (0;0). Then
2) the increasing interval is (0:+∝), decreasing interval is (-∝;0).
Between which two consecutive numbers does √48 fall on the number line
Answer:
6 and 7
Step-by-step explanation:
Answer: a) 6 and 7
Step-by-step explanation:
The square root of 48 is 6.928… so it’s between those two numbers
Compare the process of solving |x – 1| 1 < 15 to that of solving |x – 1| 1 > 15.
The final answer of the solution is x∈ (-13,1) ∪ [1, 15 ] or, x∈(-13, 15] and x∈ (-∞ , 1) ∪ [1, ∞) or, x∈ (-∞, ∞) or x∈ R.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
For |x - 1 | + 1 < 15 , we should first break the modulus function .
Two cases are possible for this inequality ,
case 1 - when x ≥ 1
x - 1 + 1 < 15 ⇒ x < 15
putting the number line both x ≥ 1 and x≤ 15
Then, x∈ [1, 15)
case 2 - when x < 1
-x + 1 + 1 < 15
⇒ -x + 2 < 15
⇒ -x < 13 ⇒ x > -13
putting the number line both x > -13 and x < 1
then, x∈ (-13, 1)
now, answer is x∈ (-13,1) ∪ [1, 15 ] or, x∈(-13, 15]
Again, for |x - 1| + 1 > 15
Similarly z there are two cases possible for this
case 1 :- when x ≥ 1
x - 1 + 1 > 15 ⇒ x > 15
Putting the number line both x ≥ 1 and x > 15
then, x ∈ [1, ∞)
case 2 - when x < 1
-x + 1 + 1 > 15 ⇒ x < -13
putting the number line both x < 1 and x < -13
Then, x∈ (-∞, 1)
hence, final answer is x∈ (-∞ , 1) ∪ [1, ∞) or, x∈ (-∞, ∞) or x∈ R
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A company sells sports drinks for $2.00 each. The company pays $0.75 for each drink and $10 per week
for a permit to sell the drinks. What is the least number of drinks the company must sell each week to make
a profit?
Solve the equation. –9x 1 = –x 17 x = –8 x = –2 x = 2 x = 8
The value of the variable x for the provided equation –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.
What is the solution of equation?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
The equation given in the problem is,
[tex]-9x +1 = -x +17\\[/tex]
To solve this equation, take the terms of variable x left side of the equation and constant term other side,
[tex]-9x +x = 17-1\\-8x=16[/tex]
Divide both side of the equation with number 8 as,
[tex]\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2[/tex]
Hence, the value of the variable x for the provided equation –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.
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Answer: The Answer Is; B) x = –2
Step-by-step explanation: Correct Answer On Edge2020.
(And the correct way to write the equation is; –9x + 1 = –x + 17 , other wise others wouldn't know if it was " +'s " OR " -'s " ..)
The area of a trapezoid is 260 cm2. If the bases have lengths of 12 and 14, what is the height?
a 10
b 15
c 20
d 13
What is the equation in slope-intercept form of the line that passes through the point (2,-2)
and is perpendicular to the line represented by y = x + 2?
2
=X+2?
5
A y = 3x - 7
5
B
y = 2x + 7
+ 7
c y=-zx-3
5
C -2
X
5
D y=-3x + 3
The equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3
Equation of a lie in slope-interceptThe equation of a line in slope intercept form is expressed as:
y = mx + c
m is the slope
c is the intercept
Given the equation of a line y = x + 2, the slope of the line perpendicular is -1/2. If this line pass through the point (2, -2), the required equation will be
y - (-2) = -1/2(x+2)
2(y+2) = -(x+2)
2y + 4 = -x - 2
2y = -x - 6
y = -1/2 - 3
Hence the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3
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Which rules of exponents will be used to evaluate this expression? select three options. startfraction left-brace (negative 8) superscript 4 baseline right-brace superscript negative 5 baseline over (negative 8) superscript 6 baseline endfraction fractional exponent quotient of powers power of a power power of a product negative exponent zero exponent
The 3 rules that we need to use to simplify the expression are:
Exponent of an exponent rule.Quotient of powers.Negative exponent.Which rule of exponents must we use?
As I understand, the expression that we have is:
[tex]\frac{((-8)^4)^{-5}}{(-8)^6}[/tex]
The first rule we need to use, is the exponent of an exponent rule, it says that:
[tex](a^n)^m = a^{n*m}[/tex]
If we apply that to the denominator, we get:
[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6}[/tex]
Now we need to use the quotient of powers:
[tex]\frac{a^m}{a^n} = a^{m - n}[/tex]
Using that we get:
[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6} = (-8)^{-20 - 6} = (-8)^{-26}[/tex]
Finally, we use the rule for a negative exponent:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
So we get the simplified form:
[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6} = (-8)^{-26} = \frac{1}{(-8)^{26}}[/tex]
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Answer:
B, C, and E
Step-by-step explanation:
If PR = 20. then what is PX=
Answer:
PX = 10
Step-by-step explanation:
PR = 20
PX = PR/2 (diagonals of parallelogram bisect eachother)
or, PX = 20/2
so, PX = 10
Is my answer correct?
Answer:
[tex]\displaystyle (x,y) \longrightarrow (x+3, y+1)[/tex]
Step-by-step explanation:
We want to write a rule for the transformation shown.
We can see that ΔA'B'C' is the figure ΔABC shifted rightwards 3 units and upwards 1 unit.
In other words, all x-coordinates of ABC is increased by 3, and all y-coordiantes of ABC is increased by 1.
Therefore, the rule for the x-coordinate is:
[tex]\displaystyle x \longrightarrow x + 3[/tex]
And the rule for the y-coordinate is:
[tex]\displaystyle y \longrightarrow y + 1[/tex]
In conclusion, we have that:
[tex]\displaystyle (x,y) \longrightarrow (x+3, y+1)[/tex]
A regular decagon has a radius of 8 cm. what is the approximate area of the decagon? recall that a decagon is a polygon with 10 sides.
The approximate area of the decagon with a side of 8cm is 492.37 cm².
Given side of the regular decagon = 8cm
What is a regular decagon?A decagon is a polygon with 10 equal sides.
We know that area of a regular decagon with side a is given by:
[tex]A=\frac{5}{2} a^{2} \sqrt{5+2\sqrt{5} }[/tex]
So, the area A of the regular decagon with a side of 8cm=[tex]\frac{5}{2} 8^{2} \sqrt{5+2\sqrt{5} }[/tex]
[tex]A=160\sqrt{5+2\sqrt{5} }[/tex]
A=492.37 cm²
Therefore, the approximate area of the decagon is 492.37 cm².
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Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as startfraction 1 over 5 c 3 endfraction. the probability that mariah will not choose all mysteries can be expressed as 1 − startfraction 5 c 3 over 20 c 3 endfraction.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The complement of an event is the remaining possibilities.
Our event is Mariah choosing 3 mysteries.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
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Answer:
Options:
A- There are 20C3 possible ways to choose three books to read.
B- There are 5C3 possible ways to choose three mysteries to read.
E- The probability that Mariah will not choose all mysteries can be expressed as 1 − StartFraction 5 C 3 Over 20 C 3 EndFraction.
Step-by-step explanation:
im really bad at math I need help
option 3
center (-1,-5)
radious √41
hope this helped!
can you please hel me it do tonight thank you.
The inequality in both inequality expressions is the less than or equal to sign
The correct values of the inequality [tex]-1 \le \frac x2[/tex] are x values that are at least -2.The correct values of the inequality [tex]1 \le \frac {-x}2[/tex] are x values that are at most -2.How to complete the tables?Inequality 1
The inequality is given as:
[tex]-1 \le \frac x2[/tex]
Multiply both sides by 2
[tex]-2 \le x[/tex]
Rewrite as:
[tex]x \ge - 2[/tex]
The above means that the correct values of x are at least -2.
See attachment for the complete table is as follows:
Inequality 2
The inequality is given as:
[tex]1 \le \frac {-x}2[/tex]
Multiply both sides by 2
[tex]2 \le -x[/tex]
Rewrite as:
[tex]-x \ge 2[/tex]
Multiply both sides by -1
[tex]x \le -2[/tex]
The above means that the correct values of x are at most -2.
See attachment for the complete table is as follows:
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Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α.
n = 40, α = 0.01
r = 0.402
r = ±0.312
r = 0.43
r = ±0.402
Answer:
r= 0.402
Step-by-step explanation:
A railroad crew can replace 360 meters of rails in 6 days. How many kilometers of rail can they repair in 25days
The railroad crew repair 1500 km in 25 days if the railroad crew can replace 360 meters of rails in 6 days
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A railroad crew can replace 360 meters of rails in 6 days.
Let's suppose the x kilometers of rail they can repair in 25v days
Per day they repair = 360/6 = 60 km/day
Then the x can be found:
x = 60×25
x = 1500 km
Thus, the railroad crew repair 1500 km in 25 days if the railroad crew can replace 360 meters of rails in 6 days.
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Lamar and Mimi are in the same math class. The table shows their scores on 6 math tests. Lamar Mimi 93 90 97 93 96 90 95 91 94 90 98 100 The best measure of center in this scenario is the , and its values for Lamar’s and Mimi’s data are and , respectively. When comparing the measures of center, we can conclude that generally Lamar’s scores are Mimi’s.
The best measure of centre is the mean , don't take median as we need average of marks here.
Lamar- 93,90,97,93,96,90Mimi:-95,91,94,90,98,100Mean of Lamar
93+90+97+93+96+90/6559/693.16%Mean of Mimi
95+91+94+90+98+100568/694.66%Mimi has been better
What is a scenario for y= 4x+2
Answer:
a club has 2 dollar down payment and 4 $ per week how much money is owed after 2 weeks
Step-by-step explanation:
Year Population
2011 - 118,000
2017 - 138,000
a. To the nearest hundredth
of a percent, what is the
percent of change from
2011 to 2017?
The percent of change is about a
___% increase.
Answer:
16% or 16.9492% I'm going to be honest I'm not 100% sure though
Similar Shapes and Scale Drawings
Practice and Problem Solving: C
Find the volume of the rectangular prism.
Answer:
8 x 8 x 8 = 512
Step-by-step explanation:
Hope this helps! Have a great day :)
Answer:
512
Step-by-step explanation:
LxWxH
8x8x8=512
Write the domain and range of the graph below…
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's see what's the domain and range for the given function ~
[tex]\qquad \tt \dashrightarrow \:domain \in [ -5 , 4 ] [/tex]
or
[tex]\qquad \tt \dashrightarrow \: - 5 \leqslant x \leqslant 4[/tex]
Because domain = all values of x between its maximum (4) and minimum (-5) value [ including them ]
[tex]\qquad \tt \dashrightarrow \:range \in[ -4 , 9 ][/tex]
or
[tex]\qquad \tt \dashrightarrow \: - 4 \leqslant y \leqslant 9[/tex]
Because range = all values of y between its maximum (9) and minimum (-4) value [ including them ]
Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply. 0 = 3x2 2x – 2 0 = –2 – 3x2 3 0 = –3x 3x2 – 2 0 = 3x2 x 2 0 = –1x – 2 3x2
The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.
The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.
The first equation given in the problem is,
[tex]0 = 3x^2 +2x - 2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.
The second equation given in the problem is,
[tex]0 = -2 - 3x^2 +3[/tex]
Rearrange the equation as,
[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]
In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.
The third equation given in the problem is,
[tex]0 = 3x^2 +x +2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.
The fourth equation given in the problem is,
[tex]0 = -1x - 2 +3x^2[/tex]
Rearrange the equation as,
[tex]0=3x^2-1x-2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.
Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
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HELP HEELP
The diagram shows a cone of height 8 units and base radius 6 units.
What is the surface area of its side?
Answer:
Option A :- if finding lateral surface area
Other information
radius r = 6 m
height h = 8 m
slant height s = 10 m
volume V = 301.592895 m3
lateral surface area L = 188.495559 m2
base surface area B = 113.097336 m2
total surface area A = 301.592895 m2
Step-by-step explanation:
Using the formulas
A=πrl+πr²
l=√r²+h²
Solving forA
A=πr(r+√h²+r²)=π · 6 · (6+√8²+6²)≈301.59289
20 POINTS!!!! ill mark brainliest! The hypotenuse of the triangle measures 18, what is the radius of circle A? Is the radius the same all around?
Answer:
The radius is 3 and it is the same all around
Step-by-step explanation:
Since The hypotenuse equals the two other sides squared, let's find out what those are.
[tex]\sqrt{9} + \sqrt{9} = \sqrt{18}[/tex]
Now, let's find the square root of those 9s.
[tex]\sqrt{9} = 3[/tex]
Those other sides we talked about (more specifically the base of the triangle) are the radius of the circle because of how they extend to the exterior of the circle, which means since their length is 3, the radius is also 3.
The radius is always constant so it is supposed to be the same all around.
What is the value of loge 36?
O
-6
-2
2
6
Answer:
B) -2
Step-by-step explanation:
[tex]log_{6} \frac{1}{36}[/tex] ORIGINAL
[tex]log_{6} 6^{-2}[/tex] REWRITE 1/36
-2 LOG RULE - 6's CANCEL
Hope this helsp!
Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent.
Could ΔABC be congruent to ΔADC by SSS? Explain.
Yes, but only if AB ≅ DC.
Yes, but only if BC ≅ DC.
No, because AB is not congruent to AC.
No, because AB ≅ DA.
Answer:
d
Step-by-step explanation:
god a 100 on edg
ΔABC cannot be congruent to ΔADC by SSS?l because D. No, because AB ≅ DA.
How to depict the triangle?It should be noted that when the three corresponding sides of the figures have the same length, it can be concluded that the triangles are congruent by SSS.
In this case, ΔABC cannot be congruent to ΔADC by SSS?l because AB is not equal to DA.
Therefore, the correct option is D.
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