Answers
Answer:
120
Step-by-step explanation:
First we can find the value of each exterior angle
The sum of the exterior angles is 360
because a hexagon has 6 congruent exterior angles we divide 360 by 6
360/6=60 so each exterior angle is equal to 60 degrees
the exterior angle and interior angles of any regular polygon are supplementary angles ( meaning the sum of the two is 180) so to calculate the interior angle we subtract 60 from 180
180-60=120 so each measure of the interior angle of a hexagon is 120 degrees
Related Questions
Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all
A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper
Answers
Answer:
D.) 29
Step-by-step explanation:
Add 15 and 14
Joanne deposits $4,300 into a one-year CD at a rate of 2.3%, compounded daily.
What is her ending balance after the year?
How much interest does she earn?
What is her annual percentage yield to the nearest hundredth of a percent?
Answers
Answer:
5k
Step-by-step explanation:
The interest accrued on the principal is $100.
Using the formula;
A = P( 1 + r/n)^nt
A - amount
P - Principal
r = rate
n = Number of times the interest is compound
t = time in years
Substituting values;
A = 4,300( 1 + 0.023/365)365 × 1
A = $4400
Interest = $4400 - $4,300 = $100
The annual percentage yield is obtained from;
APY=100 (1 + r/n )n – 1
APY=100 (1 + 0.023/365)^n - 1
APY= 100(0.023)
APY= 2.3 %
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The two triangles shown can be proven congruent through ...
AAS
ASA
SAS
SSS
Answers
Answer:
Step-by-step explanation:
SAS
Answer:
AAS
Step-by-step explanation:
Evaluate: 4 + 8 / 2 • (6 - 3)
Answers
Answer:
4 + 8 / 2 · (6 - 3) = 16
Step-by-step explanation:
Use PEMDAS
Parenthesis first
6 - 3 = 3
the equation is now 4 + 8 / 2 · 3
divide 8 and 2 = 4
4 + 4 · 3
multiply 4 and 3 = 12
4 + 12
add 4 and 12 = 16
Find the volume of the rectangular prism.
Answers
Answer:
Step-by-step explanation:
The volume of a rectangular prism is
V=xyz, where x,y,z are the three dimensions, in this case
V=10(4.5)6.25
V=281.25 ft^3
(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a - 2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve
Answers
Answer:
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Step-by-step explanation:
Solving (i):
[tex]3 (a + 5b) + a (a + 4)[/tex]
Open brackets
[tex]3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a[/tex]
Collect like terms
[tex]3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b[/tex]
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
Solving (ii)
[tex]y (10 - y) + 3 (y - 2)[/tex]
Open bracket
[tex]y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6[/tex]
Collect like terms
[tex]y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
Solving (iii)
[tex]2 (8a - 5b) + 3 (5a - 12)[/tex]
Open bracket
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36[/tex]
Collect like terms
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
Solving (iv)
[tex]3 (y - 3) + ( 8 - 6y + x)[/tex]
Open bracket
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x[/tex]
Collect like terms
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
Solving (v):
[tex]a (a - 2b) + b (b + 2a - c)[/tex]
Open bracket
[tex]a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc[/tex]
Collect like terms
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
Solving (vi)
[tex]5 (x - y + z) + (4x + 3y)[/tex]
Open brackets
[tex]5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y[/tex]
Collect like terms
[tex]5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Luke walks 40 miles in 25 seconds and Maria walks 30 miles in 10 seconds who walks faster?
Answers
Answer:
Thank to Goalscore24 correcting me, its actually Maria walking faster
Because 40 divided by 25 is 1.6
and 30 divided by 10 is 3
So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second
So Maria is faster.
3(x+2)^2+7 in standard form
Answers
Answer:-2x^2+3x-7=0
Step-by-step explanation:
Veronica and Chad are walking down the street. Veronica walks at a speed of 5 miles per hour, and Chad walks at a speed of 4 miles per hour. Write an equation for the distance(d), in miles, each person walks over time(t), in hours. Do the equations represent linear functions?
Answers
Answer:
Veronica:
d=5t
Chad:
d=4t
Step-by-step explanation
yes they do represent linear equations
How do i solve 7/11 = 18/x+1
Answers
Exact form: x= 191/7
Decimal form :x=27.28571428
Mixed number form:x=27 2/7
I need help with these questions (see image). Please show workings.
Answers
Answer:
Q1. 37.3 cmQ2. (a) 8.66 cm (b) 17.3 cmStep-by-step explanation:
Question 1
GivenChord 1 c1 = 36 cmChord 2 c2 = 30 cmRadius r = d/2 = 50/2 = 25 cmChords are parallelTo find The distance between the chordsSolutionThe distance between the chords is sum of the distances between the center and the midpoint of the chords
The segments between the center to the midpoints of the chords for right triangles with one side being the radius.
The distance is:
h = h1 + h2 h1 = [tex]\sqrt{r^2 - (c1/2)^2} = \sqrt{25^2 - 18^2} = \sqrt{301}[/tex] ≈ 17.3 cm (rounded)h2 = [tex]\sqrt{r^2 - (c2/2)^2} = \sqrt{25^2 - 15^2} = \sqrt{400}[/tex] = 20 cmh = 17.3 + 20 = 37.3 cm------------------------------------------
Question 2
GivenEquilateral triangle inscribed into circleSide of the triangle is 30 cmTo findDistance between the center and the sideRadiusSolutionMidpoint of the side, the center and the vertex form a right triangle with 30° angle at the vertex.
Let the radius be r, the distance from the center to the side be h
Then we have:
r² = h² + (30/2)²As per property of 30°-60°=90° triangle, the side opposite to 30° is half of the hypotenuse. In this case, h = r/2 or r = 2h
Substitute r into equation above and solve for h:
(2h)² = h² + 2253h² = 225h² = 75h = √75 = 8.66 cm (rounded)Find the value of r:
r = 2*8.66 = 17.3 cm (rounded)How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)
Answers
Answer:
Step-by-step explanation:
Subtracting from the x value shifts the graph to the right that many units. In this case the graph is shifted to the right by 2 units.
Answer:
It moves to the right 2
Step-by-step explanation:
:)
Get as many people to answer this question will give brainiest for free!!!!
Answers
Answer:
huh?
Step-by-step explanation:
Does anyone know the answer
Answers
2x+204 = 180
x= -12
Angle A= x+57= -12+57=45
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
Answers
x-1 = 4/3 . 6
x = 24/3 + 1 = 9
32/24 = (y+1)/21
y+1 = 4/3 . 21
y = 84/3 - 1 = 25
The value of x is given from proportion and x = 9
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the first polygon and second polygon be similar
So , the ratio of their corresponding sides will also be similar
Substituting the values in the equation , we get
( x -1 ) / 6 = 16 / 12 be equation (1)
On simplifying the equation , we get
Multiply by 6 on both sides of the equation , we get
( x - 1 ) = ( 16 x 6 ) / 12
( x - 1 ) = 16 / 2
On simplifying the equation , we get
x - 1 = 8
Adding 1 on both sides of the equation , we get
x = 9
And ,
( y + 1 ) / 21 = 32 / 24 be equation (2)
On simplifying the equation , we get
Multiply by 21 on both sides of the equation , we get
( y + 1 ) = ( 4 x 21 ) / 3
y + 1 = 4 x 7
y + 1 = 28
Subtracting 1 on both sides of the equation , we get
y = 27
Hence , the value of x is 9
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Jerry plans on saving money for a trip by putting $1 in a savings account the first month and then adding
enough to double the amount in the account each following month. Write a function to show how much money Jerry will have in his savings account s (t) after t months
Answers
9514 1404 393
Answer:
s(t) = 2^(t-1)
Step-by-step explanation:
The amount in the account is the sum of the series ...
1 + 1 +2 +4 +8 +16 +...
We note that terms after the first are a geometric sequence with a first term 1 and a common ratio 2. The sum of such a sequence is ...
Sn = a1×(r^n -1)/(r -1) . . . . where n is the number of terms being summed
For our values, this simplifies to ...
Sn = 1×(2^n -1)/(2 -1) = 2^n -1
We notice here that the account balance is 1 more than this sum, and that n = t-1, so the balance a(t) is ...
s(t) = 1 +(2^(t -1) -1)
s(t) = 2^(t -1) . . . . . . the function showing how much Jerry has
Gary read 34 pages of a 340-page book. What percent did he read ?
Answers
Answer:
10%
Step-by-step explanation:
This is it .. I’m confused please help
Answers
Answer:
Its C, think a e and c its angle is about 150 degree
s
Randal bought a game pack for $98.00. He found the same game pack at a different store for n dollars less. Which open sentence will be most helpful for finding the price of the game pack at the other store? A n - $98.00 = ? Bn x $98.00 = ? C $98.00 = n = ? D $98.00 - n = ?
Answers
Answer:
98.00 - n =
Step-by-step explanation:
The game he found is less than 98.00, which makes it subtraction.
Also, I see you with that Gaara profile picture... (0/-\0)
Answer:
I will try to find the answer right new
Step-by-step explanation:
3. A line contains the points P (1,1) and Q (7,10) what is the slop of the line
Answers
Answer:
9/6 is the slope but that simplifies to 3/2
Step-by-step explanation:
y2-y1
x2-x1
10-1=9
7-1=6
Please help me with the question I asked I’m doing a text please.
Answers
Answer:
Wait, what question?? I can try to do it.
Christian purchased t-shirts that cost $3 each, and shorts that cost $10 each. His total came up to $66. Let t-shirts be represented by X, and shorts, Y. Write an equation in standard form that represents the situation.
Need help Asap pls will give brainlest whatever it's call
Answers
Answer:
3(x)+10(y)=66$
Step-by-step explanation:
Answer:
3X + 10Y = 66
Step-by-step explanation:
Help im very confused....
Answers
Answer:
The answer is the last one. Nerve cell, nerves, brain, nervous system, and mouse. These go from the least complex to the most complex
Answer: nerve cell, nerves, brain, nervous system, mouse
Step-by-step explanation: the human body is more difficult to understand then just a mouse
Write the number below as a fraction in its simplest form
0.569
Answers
Answer:
[tex] \binom{569}{1000} [/tex]
Step-by-step explanation:
Step 1:
[tex] \binom{0.569}{1} [/tex]
Step 2:
Then multiply both by 1000
[tex] \binom{569}{1000} [/tex]
It cant be simplifyed further so its in simplest form
What is the coordinates of B
Answers
Answer: In order to find what the coordinates of B are is by trying to know how we got to (-2,0) of line AB. You have to subtract 3 from A coordinate x which is 1,it will give you -2, and you have to subtract 1 from A coordinate y which is 1,it will give you 0.
Write the expanded form of the expression 5(2x - 4 )
Answers
[tex]5(2x-4)=10x-20[/tex]
Hope this helps.
Step-by-step explanation:
Write 5
(2
x−
4)
as an equation.y
=
5
(2x−4)
What is the slope of the line that passes through the points (1, 2) and (3, 12)?
Answers
Answer:
Slope is 5
Step-by-step explanation:
(1, 2) and (3, 12)
m= (y2-y1)/(x2-x1)
m= (12-2)/(3-1)
m= 10/2
m= 5
Write an expression that is equivalent to 3 (2x + 6y)
Answers
Answer:
6x+18y
Step-by-step explanation:
Answer:
6x + 18y or 6 (x + 3y)
Step-by-step explanation:
Distribute the 3 or divide the parentheses by 2
Ramon earns $1,725 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answers
Answer:
Step-by-step explanation:
Remark
The formula you use is (Electricity / Total Income ) * 100
The ratio becomes 53.7/1725 * 100%
The ratio is 53.7/1725 * 100 = 0.03113 * 100
The % = 0.03113 * 100 = 3.113
To the closest tenth that is 3.1%
will mark as brainlist please
Answers
Answer:
maximum
vertex at (-1,1)
axis of symm: x = -1
2 solutions
(-2,0) and (0,0)
Step-by-step explanation: