Step-by-step explanation:
11.
As all the exterior angles of a pentagon add up to 360, [ because exterior angle of a polygon = n(360/n) where n = no. Of sides, As the number of sides in a pentagon is 5, n=5. Thus, the sum of exterior angles of a pentagon = 5(360°/5) = 360°.]
THEN,
56 + 2x + 85 + 57 + 4x = 360
6x + 198 = 360
6x = 360 - 198
X = 162/6 = 27
Ans : x = 27
12.
Let the missing angle be x,
As we know that all exterior angles in a pentagon add up to 360 ( Write the same thing written above),
Then,
83 + 83 + 26 + 46 + x = 360
238 + x = 360
X= 360 - 238
X = 122
Answer : the fifth exterior angle = 122°
Hope this helps
Use your line of best fit from question 5 to find the approximate value of y when x equals 24
The line of best fit is an illustration of a linear regression
Using the assumed parameters, the value of x when x = 24 is 30.75
How to determine the value of y?The equation of the line of best fit is not given, and the parameters to calculate the line of best fit are missing.
So, I will assume the following parameter values.
Assume that the line of best fit passes through the points
(x,y) = (1,2) and (5,7)
The slope of the line would be:
m = (7 - 2)/(5- 1)
m = 1.25
The equation is then calculated as:
y =m(x - x1) + y1
This gives
y = 1.25(x - 1) + 2
Expand
y = 1.25x - 1.25 + 2
Evaluate
y = 1.25x + 0.75
When x = 24, we have:
y = 1.25 * 24 + 0.75
Evaluate
y = 30.75
Using the assumed values, the value of x when x = 24 is 30.75
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5 power 2x = 1/125. find the value of x.
Answer:
x = -3/2
Step-by-step explanation:
note: 1/125 can be written as 5 exponent -3 thus, 5^-3
Expressing it in this form, we can rewrite the above equation as
5^2x = 5^-3
As part of the laws of indices and logarithms, when the bases are the same and they are equating, You equate only the exponents
therefore, we have;
2x = -3
divide through by 2
x = -3/2
Help help help math math
Answer:
-6x-10
Step-by-step explanation:
you multiply 3x by -2
and 5 by -2
never forget the negative
Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
(10,2) and (-3,2)
y = 2
Step-by-step explanation:To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.
Finding the Slope of the line:[tex]\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Substitute the coordinates of the given points:
[tex]\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }[/tex]
Simplify the equation to determine the slope:
[tex]\implies \text{Slope} = \dfrac{0}{-3 - 10 }[/tex]
∴ 0 divided by ANY number is ALWAYS 0.
[tex]\implies \text{Slope} =0[/tex]
Finding the equation of the line:Point slope form formula: y - y₁ = m(x - x₁)
x₁ and y₁ are the coordinates of any given point.m is the slopeSubstitute the values in the point slope form:
[tex]\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )[/tex]
[tex]\implies \text{Equation of line:} \ y - 2 = 0(x - 10)[/tex]
Simplify the equation to determine the equation of the line:
∴ Any number multiplied by 0 is 0.
[tex]\implies \text{Equation of line:} \ y - 2 = 0[/tex]
[tex]\implies \text{Equation of line:} \ y = 0 + 2[/tex]
[tex]\implies \text{Equation of line:} \ y = 2[/tex]
Thus, the equation of the line is y = 2.
In the above figure, m∠A = 26° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A. x = 24, m∠B = 64°
B. x = 50, m∠B = 64°
C. x = 69, m∠B = 154°
D. x = 24, m∠B = 48°
Answer:
A. x = 24, m∠B = 64°
Hope this helps!
What will a $140,000 house cost 7 years from now if the price appreciation for homes over that period averages 7% compounded annually?
The future cost of the house will be $___
(Round to the nearest cent as needed.)
The house will cost approximately $246,359.85 seven years from now.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
In this problem,
P = $140,000
r = 0.07
n = 1 (compounded annually)
t = 7.
Plugging in these values.
A = $140,000 (1 + 0.07/1)^(1 x 7)
A = $140,000 (1.07)^7
A = $246,359.85
Therefore,
The house will cost approximately $246,359.85 seven years from now.
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What are the x- and y-intercepts of the graph of 5x – 4y = 20?
Answer:
The x-intercept is (4, 0)
The y-intercept is (0, -5)
Step-by-step explanation:
The x-intercept is always (x, 0)
Knowing this we can sub 0 for y in the equation so we can find the x-intercept
[tex]5x-4y=20\\5x-4(0)=20\\5x=20[/tex]
Now solve for x
[tex]5x=20\\\frac{5x}{5} =\frac{20}{5} \\x=4[/tex]
The x-intercept is (4,0)
The y-intercept is always (0, y)
Knowing this we can sub 0 for x in the equation so we can find the y-intercept
[tex]5x-4y=29\\5(0)-4y=20\\-4y=20[/tex]
Now solve for y
[tex]-4y=20\\\frac{-4y}{-4} =\frac{20}{-4} \\y=-5[/tex]
The y-intercept is (0, -5)
455 rounded to the nearest ten
Answer:
it's 460 I think, because the last number is a five so if it's over a five you round up
What is the solution to n+25= -1
Answer:
n=-26
Step-by-step explanation:
Since n+25=-1, that means n must be less than -25 since if -25+25=0, so n=-26 since -1 is 0-1.
Genetics, stress and_________can also have an impact on the health of the cardiovascular system.
A. attitude
C. lifestyle
Answer:
C. lifestyle
Step-by-step explanation:
Hope this helps!
(Five Stars & Thanks to whoever answers first)
Answer:
2/3
Step-by-step explanation:
They rolled an even number 40/60 times which simplifies to 2/3
Answer:
C
Step-by-step explanation:
Table
Dice Roll Number of times
1 4
2 11
3 6
4 17
5 10
6 12
Total 60
Total of the even numbers
11
17
12
40
P(even) = even / total
P(even) = 40/60
AnswerP(even) = 2/3
Use the graph of the function to find, 4-6).
Answer:
D. 3Step-by-step explanation:
f(-6) is the corresponding number of -6 and you can spot it on the y-axis
What are the solutions to the problem?
(A B C or D?)
Answer:
C
step by step equation:
add 3 to both side
than simplify
ANSWERS FOR THESE TWO!!
Answer:
x = 4 or x = -3
-1
Step-by-step explanation:
26.
x² = x + 12
x² - x - 12 = 0
(x - 4)(x + 3) = 0
x - 4 = 0 or x + 3 = 0
x = 4 or x = -3
27.
(-6 + 4)/2 = -2/2 = -1
What is the volume of a right cylinder
with a radius of 14 units and a height
of 31 units?
Answer:
6076π ≈ 19088.3 cubic units
Step-by-step explanation:
The volume of a cylinder is found using the formula ...
V = πr²h
__
For the given dimensions, the volume is ...
V = π(14²)(31) = 6076π ≈ 19088.3 . . . cubic units
one more than nineteen
And in numerical form, 20
Answer:
20
Step-by-step explanation:
first yo get the number 19 then after that you can add 1 and your answer is 20 and aafter 20 (just incase you want to know) is 21
Kristen made a floor plan for her dog's kennel. The floor plan is shown below.
Note: Figure is not drawn to scale.
If a = 56 in, b = 22 in, c = 73 in, and d = 25 in, what is the perimeter of the floor plan?
A.
346 in
B.
240 in
C.
302 in
D.
256 in
Answer:
346in
Step-by-step explanation:
[tex]\hookrightarrow Here,\\\\\hookrightarrow a=56 in, b = 22 in, c = 73 in, and d = 25 in\\\\Now,\\\\\hookrightarrow Perimeter=Sum\:of\:all\:sides\\\\\hookrightarrow Perimeter=a+b+b+d+(c-2d)+b+d+b+a+c\\\\\hookrightarrow Perimeter=56+25+22+22+(73-25-25)+22+25+22+56+73\\\\\hookrightarrow Perimeter=346in[/tex]
Eddie's dog weighs 31.8 kilograms. How many grams are equivalent to 31.8 kilograms?
A: 0318 grams
B: 318 grams
C: 3,180 grams
D: 31,800 grams
Answer:
D
Step-by-step explanation:
to find the value in grams, we just multiply by a 1000
so, 31.8 × 1000 = 31,800 grams
If you have 5 blue marbles, 8 yellow marbles, and 2 green marbles. What is the probability of pulling a yellow marble?
Answer: 8/15
Step-by-step explanation: take all the color of marbles and add them together. There is where you get your denominator of 25. Next, since you are finding for yellow marbles, take the number of yellow marbles (8) and that will be your numerator.
please help me find the formula of this table graph thingy
the topic Is graph and direct propotion
Find the ratio of the given one: 20/200 = 0.1
this means the sugar (y) is 0.1 amount of soda (x)
Multiply the amount of soda by 0.1:
Formula is y = 0.1x
Formula : y = kx or y = k/x
Thus since the formula is y = kx then we can substitute:
y = 20
k = ?
x = 200
20 = ? / 200
? = 10
Therefore for the rest of the blank
100/10 = 10
500/10 = 50
1000/10 = 100
So the chart now is:
| Drink (x ml) | 200 | 100 | 500| 1000|
| Sugar (y g) | 20 | 10 | 50 | 100 |
[RevyBreeze]
PLEASE HELP ILL MARK BRAINLIEST PLEASEEEEE HELPPPPP
Answer:
m < 2 = 130°
m < 3 = 50°
m < 4 = 130°
m < 5 = 50°
m < 6 = 130°
m < 7 = 50°
m < 8 = 130°
Step-by-step explanation:
I hope this helps.
Marta studied 20.75 hours total in April and May, she studied 13 hours total in May.
How many hours did Maria study in April?
Answer:
20.75-13=7.75
Maria studies 7.75 hours in April
Step-by-step explanation:
Brainliest would be appreciated
Select the correct answer.
Rewrite the following expression.
When the graph of any continuous function y = f(x) for a ≤ x ≤ b is rotated about the horizontal line y = L, the volume obtained depends on L. What value of L minimizes the volume in part (c)?
The value in the part (c) is 1/(b-a) if the graph of any continuous function y = f(x) for a ≤ x ≤ b is rotated about the horizontal line y = L, the volume obtained depends on L.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have a graph of any continuous function y = f(x) for a ≤ x ≤ b is rotated about the horizontal line y = L.
For part(c)
[tex]\rm V(L) = \int\limits^b_a {\pi(f(x) -L)^2} \, dx\\\\\rm V(L) = \int\limits^b_a {\pi((f(x))^2 -2f(x)+L^2)} \, dx\\\\\rm V(L) = \pi \int\limits^b_a {(f(x))^2} \, dx-2\pi L \int\limits^b_a {f(x)} \, dx +L^2\pi\int\limits^b_a {} \, dx[/tex]
Now finding V'(L)
[tex]\rm V'(L) = -2\pi \int\limits^b_a {f(x)} \, dx+2\pi L \int\limits^b_a {} \, dx[/tex]
[tex]\rm V'(L) = -2\pi \int\limits^b_a {f(x)} \, dx+2\pi L (b-a)[/tex]
Now equation V'(L) to zero; V'(L) = 0
[tex]\rm -2\pi \int\limits^b_a {f(x)} \, dx+2\pi L (b-a)=0[/tex]
[tex]\rm \int\limits^b_a {f(x)} \, dx= L (b-a)[/tex]
[tex]\rm L = \frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex]
The above expression is representing the critical point.
Now finding V''(L)
V''(L) = 2π(b-a) >0 at L
[tex]\rm L = \frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex] (minimizines the volume)
Thus, the value in the part (c) is 1/(b-a) if the graph of any continuous function y = f(x) for a ≤ x ≤ b is rotated about the horizontal line y = L, the volume obtained depends on L.
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What is the surface area of this right prism?
1050 in²
1200 in²
1440 in²
1800 in²
Answer:
The anwer is B 1200 in
Step-by-step explanation:
Identify the polynomial that is the difference of two squares.
A. 25m2 − 16n
B. 49m2 − 81n4
C. 36m2 − 8n8
D. 9m2 − 5n6
Answer:
Option B, [tex]49m^2 - 81n^4[/tex]
Step-by-step explanation:
Step 1: Determine the difference of two squares
According to online, "In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra." a^2 - b^2 gives us (a + b)(a - b)
The only one that would work is Option B so lets factor it out.
[tex]49m^2 - 81n^4[/tex]
[tex](7m + 9n^2)(7m - 9n^2)[/tex]
Answer: Option B, [tex]49m^2 - 81n^4[/tex]
An athlete has aggressive outburst towards the opposing players is
A. extrovert/stable
B. introvertlunstable
C. introvert/stable
D. extrovert/unstable
Answer:
D. extrovert/unstable
Step-by-step explanation:
Which point is a solution to the linear inequality y < -1/2
X + 2?
Answer:
This is the best answer I could find but it may be incorrect (3,-2)
proportionality of triangles- setup and solve
Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( If you reshare another students answer from brainly or any other websites you'll be reported) Will Mark Brainliest if answered correctly and draw a diagram). Thank you.
We need theta first (angle
[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{P}{H}[/tex]
[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{11.8}{12}[/tex]
[tex]\\ \rm\rightarrowtail sin\theta=0.9834[/tex]
[tex]\\ \rm\rightarrowtail \theta=sin^{-1}(0.9834)[/tex]
[tex]\\ \rm\rightarrowtail \theta=79.54°[/tex]
On rounding it will go till 80°
So it's not safe