The measure of the seventh interior angle of the heptagon is 124°. (Correct choice: C)
What is the measure of the missing interior angle in a heptagon?
Heptagons are polygons with seven sides, seven vertices, seven interior angles and seven central angles. Herein we know the value of the sum of six interior angles and we need to know the measure of the seventh interior angle. We can determine the measure of the seven interior angles by using the following expression:
θ = (n - 2) · 180°, where n is the number of sides of the polygon. (1)
If we know that n = 7, then sum of the internal angles in the heptagon is:
θ = (7 - 2) · 180°
θ = 900°
And the measure of the final interior angle is found by subtraction:
θ₇ = 900° - 776°
θ₇ = 124°
The measure of the seventh interior angle of the heptagon is 124°. (Correct choice: C)
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Combine any like terms in the expression. If there are no like terms, rewrite the expression.
7j2 + 3j2 + j?
Answer:
10j^2 +j
Step-by-step explanation:
I added the first two terms since they have the same exponent and then left the j because its not squared or anything
what are all the sums and differences of 3/4?
Answer:
1/2 + 2/4
11/12 - 1/6
3/5 + 3/20
7/8 - 1/2
Step-by-step explanation:
PLEASE HELP URGENT
Hank's age is 5 more than three times John's age. Hank
is 29 years old. How old is John?
Are 0.34 and 3/4 equivalent? Please explain your answer In complete sentences.
Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1?
(1, –1)
(0, 0) and (0, –1)
(0, 0) and (2, 0)
no solutions
Answer:
D) no solutions :D
Susan graphed a system of equations for the lines y = 3x + 1 and y = 3x - 10. Which statement is true about Susan's lines?
The lines intersect once at a right angle because they are perpendicular.
The lines intersect at all points because they are the same line.
The lines intersect three times because each has a slope of three.
The lines do not intersect because they are parallel and have different y-intercepts.
Answer: The lines do not intersect because they are parallel and have different y-intercepts.
Step-by-step explanation:
Find the approximate sum of the series shown below.
Answer:
[tex]The~expression=7(\frac{5}{3})^{(1-1)}+ 7(\frac{5}{3})^{(2-1)}+7(\frac{5}{3})^{(3-1)}+7(\frac{5}{3})^{(4-1)}+7(\frac{5}{3})^{(5-1)}\\~~~~~~~~~~~~~~~~~~~~~~=7(\frac{5}{3})^0+7(\frac{5}{3})^1+7(\frac{5}{3})^2+7(\frac{5}{3})^3+7(\frac{5}{3})^4\\~~~~~~~~~~~~~~~~~~~~~~=7(1)+\frac{35}{3}+7(\frac{25}{9})+7(\frac{125}{27}) +7(\frac{625}{81})\\~~~~~~~~~~~~~~~~~~~~~~=7+\frac{35}{3}+\frac{175}{9}+\frac{875}{27} +\frac{4375}{81} \\[/tex]
[tex]=\frac{7(81)}{81}+\frac{35(27)}{3(27)} +\frac{175(9)}{9(9)} +\frac{875(3)}{27(3)}+\frac{4375}{81}\\=\frac{7(81)+35(27)+175(9)+875(3)+4375}{81}\\=\frac{10087}{81}\\=124.53086~(approximate)[/tex]
Can someone please help me! Right answer gets brainliest!!
Answer:
Step-by-step explanation:
Equation: x+6=13
Solution x=7
I hope this helps!
Do well!
I need help plz......I'll give brainliest:
The sum of two numbers is 44. The smaller number is 12 less than the larger number. What are the numbers?
x+(12+x)=44
2x+12=44
2x=32
x=32/2
x=16
The two numbers are 16, 28
Hope I helped :)
Solve for n:
1-5|n-9|=-74
I need answer by 12:10, please help!!!
Answer:
[tex]n=-6, 24[/tex]
Step-by-step explanation:
We are given:
[tex]1-5|n-9|=-74[/tex]
Subtract 1 from both sides:
[tex]-5|n-9|=-75[/tex]
Divide both sides by -5:
[tex]|n-9|=15[/tex]
By definition of absolute value:
[tex](n-9)=15\text{ or } -(n-9)=15[/tex]
Solve for each case:
[tex]n=24\text{ or } n=-15+9=-6[/tex]
Therefore, our two solutions are:
[tex]n=-6, 24[/tex]
What is the multiplicative rate of change for the exponential function f(x)= 3 (2/3)^-x
A. 0.4
B. 2.5
C. 0.6
D. 1.5
Answer:
C basta Yan ang sagot HAHAHA dko mapicturan solution ko e
Step-by-step explanation:
ano ba yan arte nyo sabing yan ang sagot eAnswer:
c 0.6
Step-by-step explanation:
lol
Santino pays $36.85 for eleven 10-count boxes of granola bars. How much does 1 box of granola bars cost?
Answer:
One box of granola bars costs $3.35.
Step-by-step explanation:
36.85/11=3.35
Which of the following is a rational number? Select all that apply.
A. √1
B. √3
C. √4
D. √5
E. √8
F. √9
Answer: The numbers that are rational numbers are A, C, and F.
Step-by-step explanation: This is because all non-perfect square roots are always irrational. Also, perfect square roots are always RATIONAL. Therefore, the rational numbers of the choices given are [tex]\sqrt{1} , \sqrt{4}, \sqrt{9}[/tex]
Answer: A, C, and F. √1 √4 √9
Radium-226 has a half-life of 1660 years. How many years does it take a radium sample to decay to 55% of the original amount? Round your answer to the nearest year.
Answer:
1432 years
Step-by-step explanation:
A(t) = I(0.5)^t/t1/2
Where t1/2 = half life = 1660
Final amount, A(t) = 0.55 of its original amount =. 0.55I
Hence, we have
0.55I = I(0.5)^t/1660
Take the log of both sides
Log(0.55) = log(0.5)^t/1660
t/1660 = log(0.55) / log(0.5)
t/1660 = 0.8624964
t = 0.8624964 * 1660
t = 1431.7441
t = 1432(nearest whole number)
2/3z=-6
Help please!!
Answer:
z = -9
Step-by-step explanation:
plz help me
which graph best represents a function with a domain of all real numbers less than 5?
It's graph(B).
Imma 100% sure 'bout this. Mark it!
The domain of a graph is the list of possible x values of the graph
Graph B has the domain of all real numbers less than 5
From the list of options, we have the following observations.
For graphs A and C,
The curves extend across the x-axis.
So, the domain is: [tex](-\infty,\infty)[/tex]
For graph D,
The curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle
So, the domain is: [tex](-\infty,0)[/tex]
For graph B, the curve extends in the negative x-axis, but stops at [tex]x = 0[/tex], with an open circle
So, the domain is: [tex](-\infty,5)[/tex]
The domain [tex](-\infty,5)[/tex] means that:
All real numbers less than 5
Hence, the domain is illustrated on graph B
Read more about domains at:
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PLS PLS HELP ASAP I WILL MARK BRAINLIEST
Using the given equation find the missing coordinates of the points and then find the slope of the line for the equation.
y=3.5x+4; A(...;5), B(10;...)
Okay so,
A (0.2875; 5), B (10; 39)
THE SLOPE IS 3.5
It took Hank 3.4 hours to travel 124 miles. At that rate, how long will it take Hank to travel 310 miles?
Answer: Time = 8.5 hours
Step-by-step explanation:
Step 1
Speed = distance / time
Distance traveled by Hank = 124 miles
Time = 3.4 hrs
Speed= Distance / Time
= 124/ 3.4 = 36.47 miles per hour
Step 2
At this same rate of speed =36.47 miles per hour, if he travels 310 miles, he will spend=
Time = Distance / Speed
Time = 310/ 36.47
Time =8.5 hours
A spinner has 3 sections of different sizes. The sections are orange, purple, and green. 1/4 of the spinner is orange. 7/12 of the spinner is purple. Which fraction of the spinner is green?
Answer: it would be 2/3
Step-by-step explanation:
broooo plzzz helpppp
Answer:
3 3/5 + 1 1/4 = 4 17/20
7/8 + 1/12 = 23/24
8/9 - 2/5 = 22/45
5 1/4 - 2 2/3 = 2 7/12
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
Next problem:
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
Next problem:
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
Next problem:
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
if 2x + 16 = -6x what is x
Answer:
x = -2
Step-by-step explanation:
Answer:
x is -2
Step-by-step explanation:
8x+16=0
subtract 16 from both sides
8x=-16
Divide each term by 8 and simplify
x=-2
X
у
1
7
N
13
3
23
4
37
5
55
iction?
The table above represents what type of function?
A cone has a volume of 47.1 cm³ and a radius of 3 cm what is its height?
Radius of cone ( r ) = 3 cm,
Curved surface area of a cone= 47.1 cm²
Curved surface area of a cone= πrl
47.1 = πrl
47.1 = 3.14 × 3 × l
l = 47.1 / (3.14 × 3)
l = 15.7 / 3.14= 1570/314= 5 cm
slant height (l) = 5 cm
Height of a cone (h) = √(l²) - (r²)
h = √ 5² -3²
h = √ 25 - 9 = √ 16 = 4 cm
h = 4 cm
Volume of cone= ⅓(πr²h)
= ⅓(3.14 × 3 × 3 × 4)
= 3.14 × 12= 37.68 cm³
Hence, the volume of a cone is 37.68 cm³.
Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)
Answer:
y = - [tex]\frac{5}{3}[/tex] x + 2
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)
m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then
y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 8) , then
- 8 = - 10 + c ⇒ c = - 8 + 10 = 2
y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line
How do I write a phrase in words as an algebraic expression for 8/d?
Answer:
The quotient of 8 and d.
Step-by-step explanation:
I hope this helps you have a wonderful day! :D
help please !!! it's 6th grade math
Answer:
$150
Step-by-step explanation:
$30 x 3 = 90
$20 x 3 = 60
90 + 60 = $150
hope this helps! (:
four and sixty eight thousandths in decimal form
Answer:
4.068
Step-by-step explanation:
( i think. I haven't done decimals in a while)
The value of each digit in a number is known as the place value. The four and sixty-eight thousandths in decimal form can be written as 4.068.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The given number can be written as,
Four → 4Sixty-eight thousandths → 68×(1/1000) = 68/1000 = 0.68Now, we can write the complete number as,
Four and sixty eight thousandths = 4 + 0.68 = 4.068
Hence, the four and sixty-eight thousandths in decimal form can be written as 4.068.
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There are three rows of VIP seats in each section. Each row
has 12 seats and there are 16 sections. How many VIP seats
are there in all?
Answer:
The answer is 576 seats
Step-by-step explanation:
3 rows x 12 seats = 36 seats in one section
36 seats in one section x 16 sections = 576 seats
Pls help ASAP!! 15 points?
Answer:
4 gte g
Step-by-step explanation:
Answer:
g < 4
Step-by-step explanation:
−12<−3g
Step 1: Flip the equation.
−3g>−12
Step 2: Divide both sides by -3.
−3g
−3
>
−12
−3
g < 4
find the time it would take to triple an initial deposit of $2,000 at an interest rate of 8%, compounded semi-annually
(rounded to the nearest whole year)