Answer: Largest exterior angle is 85.44 degrees
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Explanation
Rule: The exterior angles of any polygon always add to 360 degrees
Based on that rule, we simply add up the 8 expressions given to us and set that sum equal to 360. Then we solve for x
(x+12)+(2x-3)+(3x+10)+(3x+15)+(2x-19)+(4x-1)+(4x-10)+(6x) = 360
(x+2x+3x+3x+2x+4x+4x+6x)+(12-3+10+15-19-1-10) = 360
25x+4 = 360
25x = 360-4
25x = 356
x = 356/25
x = 14.24
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Once you determine the value of x, you plug that into each of the 8 exterior angle expressions
x+12 = 14.24+12 = 26.242x-3 = 2(14.24)-3 = 25.483x+10 = 3(14.24)+10 = 52.723x+15 = 3(14.24)+15 = 57.722x-19 = 2(14.24)-19 = 9.484x-1 = 4(14.24)-1 = 55.964x-10 = 4(14.24)-10 = 46.966x = 6*(14.24) = 85.44In short we have these 8 exterior angles
x+12 = 26.242x-3 = 25.483x+10 = 52.723x+15 = 57.722x-19 = 9.484x-1 = 55.964x-10 = 46.966x = 85.44We see that 85.44 degrees is the largest exterior angle (which is the angle that corresponds to the 6x). This makes sense because the 6 is the largest x coefficient compared to something like 2x-3 or 3x+10 which have x coefficients of 2 and 3 respectively.
find the gradient and y intercept of 3x+4y=5
Answer:
gradient = - [tex]\frac{3}{4}[/tex] , y- intercept = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 5 ( subtract 3x from both sides )
4y = - 3x + 5 ( divide terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{5}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex] and y- intercept c = [tex]\frac{5}{4}[/tex]
Find d^2y/dtheta^2 if y=sin^5
Answer:
20 sin³O. cos²O - 5sin⁵O
Step-by-step explanation:
y = sin⁵O
Using the Chain Rule
dy/dO = 5 sin⁴O cosO
Using the Product / Chain rules:
d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O
= 20 sin³O. cos²O - 5sin⁵O
Fern bought groceries that cost $14.38. She paid the
store clerk, Ping, with a $20 bill. Ping makes change by
saying
2 pennies makes the total $14.40.
6 dimes makes it $15.00, and
6 dollars makes it $20.
pril
Did the clerk make a mistake in giving Fern her change?
You may use the scratchpad to show your work.
No, she received $6.62 in change.
8
Yes, Ping should give Fern 6 pennies and 2
dimes.
Yes, Ping should give Fern 3 dimes and 8
pennies.
Yes, Ping should give five one-dollar bills, not
SIX
I NEED HELP ASAP SOMEONE ANSWER AS SOON AS YOU CAN MAYBE YEA THANKS BYE
Answer:
Yes, Ping should give five one-dollar bills, not
SIX
Step-by-step explanation:
I answered this question on
https://brainly.com/question/23795763
It wasn't the same question but yes
Slope of (-5,12), ( -9, 16)
5(x+y)-3(x-y) A. 2x B. 2x+2y C. 2x+8y D. 8x+8y
how do you write an expression that is equivalent to -h-7(3h-4)
Answer:
-3[tex]h^{2}[/tex] -17h + 28
Step-by-step explanation:
Evaluate the expression below when y = 3. If needed, answer as a fraction or a decimal.
y⋅5y+2
Answer:
-10
Step-by-step explanation:
y-5y+2
=3-5 x 3+2
Using the rule of BODMAS
=3-15+2
=3-13
= -10
OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱two dice are rolled write the sample space and number of sample points also write events and number of sample points in the event according to the given condition sum of the digits of upper faces is a prime number , sum of the digits on the upper face is a multiple of 5 , sum of the digits on the upper face is 25 and digit on the upper face at the first die is less then then the digit on the second die
Answer:
S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36
E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15
Step-by-step explanation:
thats the answer
Copy and complete plss
Answer:
Step-by-step explanation:
to find increased percent
increase amount = $70 - $40
=$30
increase percent = increase amount /original amount *100%
=30/40 *100%
=3000/40
=75%
to find decrease percent
decrease amount = $70 - $40
=$30
decrease percent = decrease amount /original amount *100%
=30/70 *100%
=3000/70
=42.85 %
What is the simplest radical form of the expression? (8x5y3)23
This may be incorrect, so sorry if it is! The answer I got is 2760y.
which of the following is the correct graph of the linear equation below? y+2=1/5(x+1)
Answer:
Step-by-step explanation:
This almost should be reported. But here is the graph you are looking for.
It has to have a y intercept of about -2 and an x intercept of 9.
Solve for y.
3= y+7 divided by 3
Y=
Answer:
y=2
Step-by-step explanation:
3 = (y+7)/3
Multiply each side by 3
3*3 = (y+7)/3 *3
3*3 = y+7
9 = y+7
Subtract 7 from each side
9-7 = y+7-7
2 =y
Answer:
2 = y
Step-by-step explanation:
3 = y + 7 ÷ 3
multiply both side of equation by 3
3 × 3 = y + 7 ÷ 3 / 3
9 = y + 7
subtract 7 from both side
9 - 7 = y + 7 - 7
2 = y
Anyone know the answer to this?
Answer:
Diameter : 22.568 cm
Step-by-step explanation:
Hope this Helps!
Can anyone help me out
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
j/k - 0.2k
j = 25
k = 5
Step 2: Evaluate
Substitute in variables: 25/5 - 0.2(5)Divide: 5 - 0.2(5)Multiply: 5 - 1Subtract: 4help soon its for my grade Draw 2u –1/3v
Vectors are elements of the vector space, and they can be illustrated by diagrams.
How to draw 2u - 1/3vThe vector expression is given as:
[tex]2u - \frac 13v[/tex]
Split the vector expressions, as follows:
[tex]y_1 = 2u[/tex]
[tex]y_2 = - \frac 13v[/tex]
See attachment for the graphs of y1 and y2.
Next, we have:
[tex]y = 2u - \frac 13v[/tex]
This gives
[tex]y = y_1 + y_2[/tex]
The above expression means that, we add the vectors y1 and y2 to get vector y
See attachment for the graph of [tex]2u - \frac 13v[/tex]
Read more about vectors at:
https://brainly.com/question/14480278
What is the area of the polygon given below?
Answer:
C, which is 340!
Step-by-step explanation:
Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)
The area of polygon = 340 square units.
How to estimate the area of the polygon?Area of rectangle = Length [tex]\times[/tex] [tex]\tmes[/tex]breadth
Area of rectangle (side A) = 19 [tex]\times[/tex] 4 = 76
Area of rectangle (Side B) = 24 [tex]\times[/tex] 14 = 264
To estimate the area of the polygon, add both of the equations then we get
Area of the polygon
= Area of a rectangle (side A) + Area of a rectangle (Side B)
= 76 + 264
Area of the polygon = 340 square units.
Therefore, the correct answer is option C. 340 square units.
To learn more about polygon
https://brainly.com/question/20110859
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x°
1
63°
m
n
find the value of x
Answer:
I believe its 63°......,.,..,.,.,.,
somebody help me out !
Answer:
224
Step-by-step explanation:
Hello!
To find f(-7) you simply plug the value, -7, into the function.
This will get you:
f(-7) = 4(-7)^2 - 4(-7)
Remember that the square of a negative number is a positive! Also, remember to use the order of operations (PEMDAS)!
This will get you:
f(-7) = 4(49) - 4(-7)
f(-7) = 196 - (-28)
f(-7) = 224
Hope this helps!
Helppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeee
Answer:
1/ 3^6
Step-by-step explanation:
We know that a^b / a^c = a^(b-c)
3^-7 / 3^-1 = 3^(-7 - -1) = 3^(-7+1) = 3^(-6)
We know that a^ -b = 1/ a^b
3^-6 = 1/ 3^6
what is factorial of 100
Answer:
9.332621544^157
Step-by-step explanation:
formula to calculate factorial : n×(n-1)×(n-2)×(n-3)...3×2×1
So,
100×(100-1)(×100-2)×(100-3)...3×2×1
100×99×98×97×3×2×1
=564,656,400 Answer
A golf ball has a diameter of 42.67 millimeters and a mass of 45.93 grams.what is the number of grams per cubic millimeter of the material used to make the golf ball?
The density of golf ball is 0.000113 gm/mm³
What is volume ?
Volume is a three dimensional space occupy by the body of particular shape such as here :
volume (V) of sphere with radius r : 4πr³/3
it is given that :
golf ball has a diameter d of = 42.67 millimeters
r = d/2 = 21.33 mm
golf ball has a mass m of = 45.93 grams
First, let us find the volume of the golf ball can be determined using the formula:
V = 4πr³/3
Substituting r = 21.33mm, we get;
V = 4π(21.33)³/3
V = 40650 mm³
Now, to find the number of grams per cubic millimeter of the material used to make the golf ball we find the density of golf ball :
ρ = m/V
ρ = 45.93/40650
ρ = 0.000113 gm/mm³
Therefore, the density of golf ball is 0.000113 gm/mm³
Learn more about volume here:
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Brainliest!
5 1/3 - 1 3/4
3 10/12
3 7/12
4 2/12
4 5/12
Answer:
3 7/12
Step-by-step explanation:
5 1/3 = 16/3 = 64/12
1 3/4 = 7/4 = 21/12
64/12 - 21/12 = 43/12
43/12 = 3 7/12
Answer:
3 7/12
Step-by-step explanation:
Round to the nearest tenth. I need help
Answer:
118.0
Step-by-step explanation:
using Trigonometry,
[tex]x = 99tan(50) \\ = 118.0[/tex]
What is the equation of a circle with center (-4, 7) and radius 6?
Answer:
(x +4)^2 + (y-7)^2 = 36
Step-by-step explanation:
The equation of a circle is of the form
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- -4)^2 + (y-7)^2 = 6^2
(x +4)^2 + (y-7)^2 = 36
Distance travelled by light in a year.
Answer:
9.7 trillion kilometers
Step-by-step explanation:
The distance travelled by light in a year is 9.7 trillion kilometers (6 trillion miles).
The circumference of circle T is 180 units.
What is the area of the shaded sector?
A. 2 square units
B. 900 square units
C. 3240 square units
D. 8100 square units
Brainliest, 50 points
10y+50
Answer:
10(y+5)=10y+50
just
multiplying both by 10.Use distribute property.
Answer:
10 y + 50
Step-by-step explanation:
10 ( y + 5 )
multiplying both by 10
10 × y + 10 × 5
10 y + 50
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
answer is
B. 6√2
hope this helps!
Write an equation that represents the line.
Use exact numbers.
Answer:
[tex]y=-\frac{4}{3} x+2[/tex]
Step-by-step explanation:
In order to write an equation that represents a line, you have to write it in Slope-Intercept Form.
Slope-Intercept Form: y = mx+b
Where b represents the Y-intercept
Where m represents the Slope
**********************************************
That's all you need to know about Slope-Intercept Form!
How do we get started?
Well first off, take a look at the graph and spot two points that are shown
The two points will be: (0, 2) and (3, -2)
Then use the two points to Solve for the Slope of the line!
m = slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex] Second y - first y/ Second x - First x
m = [tex]\frac{-2-2}{3-0}[/tex]
m = [tex]\frac{-4}{3}[/tex] Turn the whole answer negative since there's a negative
m = [tex]-\frac{4}{3}[/tex] Final Answer
so the slope of the line is -4/3
Now we need to get the Y-intercept of the line!
Easy we don't need to solve just look how many units the graph goes up in y-axis?
2 units
so the y-intercept of the line is 2
Equation: y = -4/3x + 2
How do I solve a system of equations algebraically with a substitution method and then write it as a coordinate point?
y = 3x -17 and y = -2x + 8