Answer:
720°
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Divide by 60 to find number of sides (n)
n = 360° ÷ 60° = 6
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
The sum of the exterior angles of a regular polygon is 360º
Each exterior angle of a regular polygon is 60º/n
360º/n=60º
360/60=n
6=n
A polygon with 6 sides is a hexagon.
Use the formula (n-2)×180
(6-2)*180=4*180=720º
another solution...
you have 6 interior angles (hexagon)
if an exterior angle is 60º, the corresponding interior angle is 180-60=120º
you have 6 of these 120º angles
6*120=720º
If 150° and 3a are supplementary angles, find the value of a.
Answer:
a = 10
Step-by-step explanation:
Supplementary angles sum to 180° , so
150 + 3a = 180 ( subtract 150 from both sides )
3a = 30 ( divide both sides by 3 )
a = 10
Find the missing side of the triangle.
A. √226 ft
B. √17 ft
C. √329 ft
D. √346 ft
15^2 = x^2 + 11^2
225 = x^2 + 121
Subtract both sides 121
225 - 121 = x^2 + 121 - 121
104 = x^2
x = √104
x = √4 × 26
x = √4 × √26
x = 2 × √26
x = 2 √26
g(x) = x3 + 2x2 - x - 2 to answer all the questions in Part II. 1. Use synthetic division to show that x = -2 is a zero of the polynomial.
Answer:[tex]x^{2} -1[/tex]
Step-by-step explanation:
Given :[tex]g(x)=x^{3} +2x^{2} -x-2[/tex]
Factor x+2,x=-2
Using synthesis division:
-2 ) 1 2 -1 -2
-2 0 2
1 0 -1 0
[tex]x^{2} +0x-1[/tex]
Yes, x = -2 is a zero of the polynomial.
Given that,
The function g(x) = x³ + 2x² - x - 2 is divided by (x + 2)
Now apply the synthetic division to show that x = -2 is a zero of the polynomial.
When we divide by using synthetic division as shown in the attached image.
Remainder = 0
Hence, this shows that x = -2 is a zero of the polynomial.
Therefore, x = -2 is a zero of the polynomial.
To learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ4
-2x + 8 = -26
plz help!!!!!!!!!!!!!
Answer:
x = 17
Step-by-step explanation:
-2x + 8 = -26
Subtract 8 from each side
-2x + 8-8 = -26-8
-2x = -34
Divide each side by -2
-2x/-2 = -34/-2
x = 17
Answer:
The answer is x=17
Step-by-step explanation:
−2x+8−8=−26−8
−2x=−34
−2x /−2 = −34 /−2
x=17
1)a)write any three rational numbers .
Answer : 3/4,-2/6,1/2 is are called rational
number.
b)Explain rational numbers in your own words .
Answer: A number which can be written in the form p/q , where p and q are integers and q = 0 is called a rational number
Step-by-step explanation:
1)1/2,1/5 and 0
2)In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer
Find the volume of a rectangular solid that
is 9 ft. by 12 ft. by 8 ft.
Help please
Answer:
864 ft³ is the volume
Step-by-step explanation:
Volume = width · height · length
= 12 · 9 · 8
= 864
Answer:
Step-by-step explanation:
Volume of rectangular solid = length * width * height
= 9 * 12 * 8
= 864 ft³
Help pls this is really hard
9514 1404 393
Answer:
see attached
Step-by-step explanation:
√2 ≈ 1.414 ≈ 1.4 +0.1(1/7)
The dot will be about 1/7 of the way between 1.4 and 1.5.
Simplify the following equation
4−8÷2+3
Hi there!
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I believe your answer is:
3
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Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\4-8\div2+3\\\\---------------\\\text{Follow PEMDAS:}\\\\\\\rightarrow4-8\div2+3\\\\\rightarrow 4 - 4 + 3\\\\\rightarrow 0 + 3\\\\\rightarrow \boxed{3}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Express 2³a²b in factor form
Answer:
In factor form, the answer is ---> 8a^2b
Step-by-step explanation:
2³a²b
= (2^3) (a^2) b
= 8a^2b
What is AE?
Enter your answer in the box?
Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
[tex]\frac{AE}{DE}[/tex] = [tex]\frac{AB}{DC}[/tex] , substitute values
[tex]\frac{2x+4}{x+8}[/tex] = [tex]\frac{12}{10}[/tex] ( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
The greatest number which on dividing 1657 and 2037 leaves nemainder 6 ands respectively is?
Answer:
It would be 127
Step-by-step explanation:
We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.
If the nth term of A.P. are 7, 12, 17, 22.....is equal to the nth term of another A.P. 27, 30, 33, 36. Find the value of n?
Answer:
[tex]n = 11[/tex]
Step-by-step explanation:
We are given two arithmetic sequences:
7, 12, 17, 22... and 27, 30, 33, 36...
And we want to determine n such that the nth term of each sequence is equivalent.
We can write a direct formula for each sequence. Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
The first sequence has an initial term of 7 and a common difference of 5. Hence:
[tex]\displaystyle x_n = 7 + 5(n-1)[/tex]
The second sequence has an initial term of 27 and a common difference of 3. Hence:
[tex]x_n = 27 + 3(n-1)[/tex]
Set the two equations equal to each other:
[tex]7 + 5 (n-1) = 27 + 3(n-1)[/tex]
Solve for n. Distribute:
[tex]7 + (5n - 5) = 27 + (3n - 3)[/tex]
Combine like terms:
[tex]5n + 2 = 3n + 24[/tex]
Isolate:
[tex]2n = 22[/tex]
Divide. Hence:
[tex]n = 11[/tex]
In conclusion, the 11th term of the first A.P. is equivalent to the 11th term of the second.
2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Ratio? A
Ratio = 9 x (3x3). B
O Ratio = 9/3
C
Ratio = 9/(3x3)
D Ratio = 8/5280
The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]
Option C [tex]Ratio =\frac{9}{3X3}[/tex]
Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]
Given :
Nine people fit comfortably in a 3 ft. by 3 ft. area
To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well
Ratio = number of people / total area
[tex]Raio=\frac{9}{3X3}[/tex]
To find the size of the crowd , convert yards into feet and mile into feet
1 yard = 3 miles
8 yards= 3 times 8 = 24 feet
1 mile = 5280 feet
Now we find the area in feet
[tex]24 \cdot 5280[/tex]
size of the crowd=ratio times the area in feet
[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]
Learn more : brainly.com/question/24367786
Next, find the length of BC. Place point F at (4,4), and draw BF and FC. Find BF and FC using the coordinates of B, C, and F. Then use the Pythagorean Theorem to find BC.
9514 1404 393
Answer:
BC = 5
Step-by-step explanation:
Of course, this geometry program can tell you the length of BC.
__
If you follow directions, you get a right triangle BCF that has leg lengths 3 and 4. The Pythagorean theorem then tells you the length of hypotenuse BC is ...
BF = 4 -1 = 3
FC = 4 -0 = 4
BC² = BF² +FC²
BC² = 3² +4² = 9 +16 = 25
BC = √25
BC = 5
The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.
B
Step-by-step explanation:
Might be wrong
Please help for brainliest!!
Answer:
108
Step-by-step explanation:
3(6*3*2)
Answer:
L x W x H is the formula to solving this problem.
It looks like 6 is the length, 3 is the width and 2 is the height!
6 x 3 x 2 = 36
BUT WAIT!
It seems like the 2 is on one of the tissues, if it isn't 36, the other answer is definitely something else...
2 + 2 + 2 = 6
6 x 3 x 6 = 108!
_ _ _ _ _
The answers could either be 36 or 108!
The cost of hat, pants, and sweater is $225. The pant cost $10 more than hat, and the sweater cost $10 more than the pants. What is the cost of the hat ?
Answer:
$65
Step-by-step explanation:
Let x represent the cost of the hat.
Since the pants cost $10 more than the hat, the cost can be represented by x + 10.
Since the sweater cost $10 more than the pants, the cost can be represented by x + 20.
Create an equation adding these all together and setting it equal to 225, then solve for x:
(x) + (x + 10) + (x + 20) = 225
3x + 30 = 225
3x = 195
x = 65
So, the hat cost $65
The telephone numbers in a small town have two digits. They run from 00 to 99.
Of the 100 possible numbers, those that become smaller when reversed are not used, i.e. 21 is not used.
What is the maximum number of telephone numbers this town could have?
Answer:
[tex]55[/tex]
Step-by-step explanation:
We'll be using case-work to solve this problem. Let's call the ones digit of the telephone number [tex]B[/tex] and the tens digit [tex]A[/tex]. Each telephone number can be represented as [tex]AB[/tex].
Since the question states that numbers that are smaller when their digits are reversed are not used, we have the following inequality:
[tex]B\geq A[/tex]
This is because if [tex]A>B[/tex], the number would become smaller when [tex]A[/tex] and [tex]B[/tex] are switched in [tex]AB[/tex]. However, if [tex]A=B[/tex] or [tex]B>A[/tex], the number will not become smaller.
Let's work our way up starting with [tex]A=0[/tex]. If [tex]A=0[/tex], there are 10 other numbers (0-9) that we can choose for [tex]B[/tex] that adhere to the condition [tex]B\geq A[/tex]:
[tex]0B,\\01, 02, 03,...[/tex]
Therefore, there are 10 possible telephone numbers when the tens digit is 0.
Repeat the process, now assigning [tex]A=1[/tex]. Now, we only have the digits 1-9 to choose from for [tex]B[/tex], since [tex]B[/tex] needs to be greater than or equal to A. Therefore, there are 9 possible telephone numbers when the tens digit is 1.
This pattern continues. As we work our way up through the cases (when increasing [tex]A[/tex] by 1), the number of possible telephone numbers decreases by 1, since there becomes one less option for [tex]B[/tex].
The last case would be [tex]A=9[/tex] in which case there would only be one option for [tex]B[/tex] and that would be 9.
Since there are 10 cases (0-9), add up the possible telephone numbers for each case:
[tex]\displaystyle \sum_{n=1}^{10}n=1+2+3+4+5+6+7+8+9+10=\boxed{55}[/tex]
Alternatively, recall that the sum of this series can be found using [tex]\frac{n(n+1)}{2}[/tex], where [tex]n[/tex] is the number of values in the set. In this case, [tex]n=10[/tex], and we have:
[tex]1+2+3+4+5+6+7+8+9+10=\frac{10(11)}{2}=\frac{110}{2}=\boxed{55}[/tex]
Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?
Answer:
12 miles
Step-by-step explanation:
From the graph given :
Mike's travel :
School to Mall= 16 miles
Mall to Library = 30 miles
Total travel = 16 + 30 = 46 miles
Henry's travel :
From school to Library = Hypotenus :
Distance can be obtained using Pythagoras :
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √(30² + 16²)
Hypotenus = √1156
Hypotenus = 34 miles
Difference in Distance covered :
(46 miles - 34 miles) = 12 miles
PLZ HELP! I WILL PUT BRAINLIEST!
Find the three digit numbers which have the the following properties: all three digits are different, the first digit is the square of the second digit and the third digit is one more than twice the second digit.
Answer:
Step-by-step explanation:
1^2 = 1 This one is impossible. The digits have to be different.
2^2 = 4
3^2 = 9
so the first two digits can either be
4 and 2
9 and 3
The third clue is the one that decides. The third digit is odd and and 1 more than twice the second
The third digit can be 2 * 2 + 1 = 5 or 2*3 + 1 = 7. There is no way to choose between them.
So the answer is either 425 or 937. We cannot decide which. If there is another clue that will break the log jam, post it and I'll come back.
These are the only two answers possible. If the second digit is more than 3 then the first digit is no longer a single digit. It is more than 9.
Pls help. I really suck at math.
Determine whether the following polygons are similar.
Answer:
They are not similar.
To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.
Those triangles possess right angles as you can see the little square thingie in the corners.
Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.
There are 180 degrees in a triangle, so 180 - 120 = 60.
Therefore, the unknown angle is 60.
A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.
The other triangle has a 55 degree angle which is not on the first, so they must not be similar.
Pls brainly dont delete this link, its useful.
https://blog.prepscholar.com/30-60-90-triangle-ratio-formula
This helps you understand the special triangles.
You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.
Step-by-step explanation:
(Ight ima need some help!! ) solve the following equation (2x + 3) (3x + 2) − (3x + 2) (2x− 3) = 0. solve for x and show work
(2x + 3) (3x + 2) − (3x + 2) (2x− 3) = 0
Answer:
x = [tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
I used the FOIL method
[(2x + 3) (3x + 2)] − [(3x + 2) (2x− 3)] = 0
[tex](6x^{2} +4x+9x+6) - (6x^{2} -9x+4x-6)=0[/tex]
[tex](6x^{2} +13x+6) - (6x^{2} -5x-6)=0[/tex]
[tex](6x^{2} +13x+6) - 6x^{2} +5x+6=0[/tex]
combine like terms
[tex]6x^{2} -6x^{2} = 0[/tex]
[tex]13x+5x=18x[/tex]
[tex]6+6=12[/tex]
so, [tex]18x +12 = 0[/tex]
subtract 12 on both sides
[tex]18x=-12[/tex]
divide by 18 to isolate x
[tex]x=-\frac{12}{18}[/tex]
and simplifies to
[tex]x=-\frac{2}{3}[/tex]
If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side
Answer:
7
Step-by-step explanation:
Let the each leg be x so,
√(x²+x²)=√98
or, √(2x²)=√98
or, x√2=7√2
or, x=7
The rectangular prism below has a height of 2 ft, width of 3 ft, and length of 6 ft.
What is the surface area of the entire rectangular prism?
Answer: The Surface area is 72 units
Step-by-step explanation:
2*(3*6+2*6+2*3)=72
What is the explicit formula for this sequence?
-9, - 3, 3, 9, 15, ...
Answer:
-15+6d
Step-by-step explanation:
The common difference of the sequence is -3+9=6
The formula is an=a+(n-1)d, an=-9+(n-1)*6=-15+6d
Mrs. Carlyle bought a bag of peanuts for her children. When Phillip, Joy, Brent, and Preston came home from school, they each took some peanuts from the bag.
Phillip took 1/3 of the peanuts from the bag.
Joy took 1/4 of the remaining peanuts.
Brent took 1/2 of the remaining peanuts.
Preston took 10 peanuts.
71 peanuts were remaining in the bag.
How many peanuts were originally in the bag? ______________________
2. How many peanuts did each child take? ______________________
Answer:
hhbnnnnkkkkkkkkkkkkkijkkiikkkk
At age 20, to save for retirement, Rebecca decides to deposit 80$ at the end of each month in an IRA that pays 6.2% compounded monthly. Use the formula for the value of an annuity.
A=P[(1+r/n)^nt-1]/(r/n)
How much money will be in the IRA when Rebecca retires?
How much interest will the IRA have gained?
Answer:
159319.26 I Don't know the interest
Need help with 1 and 2
Answer:
1a. 128
1b. 81
1c. 64
1d. 25
1e. 343
1f. 100000
1g. 64
1h. 0
1i. 13
1j. 1
2a. 243
2b. 64
2c. 36
2d. 625
2e. 1331
2f. 10000000
2g. 81
2h. 0
2i. 17
2j. 1
WILL GIVE BRAINLIEST AND 20 POINTS! PLEASE SHOW WORK!
How many different 8-digit phone numbers do not contain the digit 2? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.
The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers
Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.
Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.
So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.
So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.
Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.
Learn more about multiplication principle of counting here:
https://brainly.com/question/1091225
Choose the inequality that represents the following graph.
Answer:
it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d
