Answer:
common difference = 31-18
common difference =13
from,
An=A1 +(n-1)d
A84=18+(84-1)13
A84=1097
Answer:
1097
Step-by-step explanation:
Common Difference:
d=a_2-a_1=(31)-(18)=13
d=a
2
−a
1
=(31)−(18)=13
a_n=a_1+(n-1)d
a
n
=a
1
+(n−1)d
\text{84th term:}
84th term:
a_{84}=18 + (84-1)(13)
a
84
=18+(84−1)(13)
a_{84}=18 + (83)(13)
a
84
=18+(83)(13) a_{84}=1097 a 84
=1097
Composite numbers are numbers greater than 1 that are not____.
10
A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table.
If an object was dropped from a height of 405 Meters,find the time it took for the object to hit the ground
Answer:You can use the concept of conservation of total mechanical energy (neglecting the air resistance).
So, initially total mechanical energy = gravitational potential energy (kinetic energy is zero because initially there is no velocity).
Final total mechanical energy = kinetic energy (gravitational potential energy is zero because height has become zero).
So, initial mechanical energy = Final mechanical energy
(1/2)mv²=mgh
Step-by-step explanation:
Which answer choice best fits the given word;
1- Consecutive is:
A) A set of angles that have a sum of 90*
B) One after the other
C) Match or agree almost exactly
D) A straight line
2- Complementary is:
A) One after the other
B) A set of angles that have a sum of 90*
C) A straight line
D) Match or agree almost exactly
3- Corresponding is:
A) A straight line
B) A set of angles that have a sum of 90*
C) One after the other
D) Match or agree almost exactly
4- Congruent is:
A) Exactly the same
B) A straight line
C) A set of angles that have a sum of 90*
D) One after the other
5- Scalene is:
A) 2 sides equal
B) All sides equal
C) No sides equal
D) None of the above
6- Equilateral is:
A) No sides equal
B) All sides equal
C) 2 sides equal
D) None of the above
7- Isosceles is:
A) 2 sides equal
B) No sides equal
C) All sides equal
D) None of the above
8- Acute is:
A) less than 90*
B) more than 90*
C) exactly 90*
D) exactly 180*
9- Obtuse is:
A) exactly 180*
B) more than 90*
C) exactly 90*
D) less than 90*
10- Bisect is:
A) all of the choices
B) cut in half
C) divide into equal parts
D) two sections
Answer: Sometimes, two angles are a part of each other or are connected to each other. These angles are called angle pairs.
Let's look at two special types of angle pairs, supplementary angles or complementary angles.
Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees.
These two angles are supplementary because together they form a straight line. You can also tell that they are supplementary because when you add their angle measures the sum is equal to 180 degrees.
120+60=180∘
Complementary angles are a pair of angles whose sum is 90∘. Here is an example of complementary angles.
If you add up the two angle measures, the sum is equal to 90 degrees. Therefore, the two angles are complementary.
You can find missing angle measures by using information about supplementary and complementary angles.
Let's look at an example.
Find the measure of x.
First, identify that these two angles are supplementary. They form a straight line. The total number of degrees in a straight line is 180. Therefore, you can write the following equation to solve.
130+xx=180=50∘
The missing angle is equal to 50∘.
Here the two angles are complementary. Therefore the sum of the two angles is equal to 90 degrees. Write an equation and solve for the missing angle measure.
75+xx=90=15∘
The missing angle measure is equal to 50∘.
Examples
Example 1
Earlier, you were given a problem about Paul and the house.
He has an angle pair that is formed by two 90 degree angles. What type of angle pair is formed when two 90 degree angles are combined?
First,add the two angles to calculate their sum.
90 + 90 = 180
Then, identify which angle pair adds up to 90 degrees.
Supplementary angles
The answer is that the pair are supplementary angles.
Example 2
Identify the angle pair as complementary or supplementary.
First, add the two angles to calculate their sum.
75 + 105 = 180
Then, identify which angle pair adds up to 180 degrees.
Supplementary angles
The answer is supplementary angles.
Write whether each pair is complementary or supplementary.
Example 3
Identify the angle pair as complementary or supplementary.
If the sum of the angles is equal to 180 degrees.
First, identify which angle pair adds up to 180 degrees.
Supplementary angles
The answer is supplementary angles.
Example 4
Identify the angle pair as complementary or supplementary.
If one angle is 60 degrees and the other angle is 120 degrees.
First, add the two angles together to find the sum.
60 + 120 = 180
Then, identify which angle pair adds up to 180 degrees.
Supplementary angles
The answer is supplementary angles.
Example 5
Identify the angle pair as complementary or supplementary.
First, add the two angles to calculate their sum.
30 + 60 = 90
Then, identify which angle pair adds up to 90 degrees.
Complementary angles
The answer is that the pair are complementary angles.
Step-by-step explanation:
Please help me out someone
Answer:
Step-by-step explanation:
is SAS because you are given a pair of sides ≅, you have a pair of angles that are ≅ because 2 ║lines cut by a transversal and, you have another side because one of the sides is shared
Calculate the area of the parallelogram, giving your answer correct to 3 significant figures.
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
Is it a polynomial?
Answer:
It is a polynomial
Step-by-step explanation:
The given expression [tex] \boxed{represents} [/tex] a polynomial.
Type: monomial or cubic
Degree: 3
Can you help me pls ad thank you
PLEAS HELP QUICK What is the volume of the figure?
Answer:
1530 cubic cm
Step-by-step explanation:
(18*4*10) + (9*9*10) = 1530
Escribe una ecuación para una linea que pase por los puntos (3,5) y (6,3). Responder con trabajo de apoyo
Answer:
y = -[tex]\frac{2}{3}[/tex]x + 7
Step-by-step explanation:
Ambos puntos (3, 5) y (6, 3) están en esta línea.
can some one plz help me anwer choices are x =77/3 x=19 x=19 x=77/3
thats it
Answer:
Parithisis first, mutiplication next
Step-by-step explanation:
Please Excuse My Dear Aunt Sally
Capitals stand for first letters of the sequence of the operation
A coin weights about 14^-2 pounds. Find the weight of 1000 of coins. Round your answer to the nearest tenth.
Answer:
5.1
Step-by-step explanation:
14^-2*1000
The value of y varies jointly with the values of x and z When x = 4 and z = 10, the value of y is 360.
What is the value of y when x 5 and z = 12?
A. 540
B. 9
C. 153
D. 450
Answer:
A
Step-by-step explanation:
Joint variation is given by:
[tex]y=kxz[/tex]
Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:
[tex]360=k(4)(10)[/tex]
Solving for k:
[tex]40k=360\Rightarrow k=9[/tex]
Therefore, our equation is:
[tex]y=9xz[/tex]
Then when x = 5 and z = 12:
[tex]y=9(5)(12)=540[/tex]
The answer is A.
$15,000 at 15% compounded annually for 5 years
A. $28,500.00
0
B. $30,170.36
C. $17.250.00
ОО
D. $26,250.45
Answer:
p=$15000
R=15%
t=5years
compound amount CI=?
Step-by-step explanation:
we have
CI=p(1+R/100)^t=$15000(1+15/100)^5=$15000×1/15^5=$30170.35The total amount of $15,000 at 15% compounded annually for 5 years will be $30,170.36 so option (B) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
The rate at which compound interest accrues depends on the frequency of compounding.
For instance, if you offer someone $500 at a rate of 10% annually, $500 will be considered your principal sum. After a year, the interest will be $50, making the principle amount $550. Moving forward, the interest will be $550 rather than $500.
Given
Principle amount = $15000
Rate of interest = 15%
The time period T = 5 years.
Compound interest formula
A = P [tex][ 1 + R/100 ]^{T}[/tex]
A = 15000 [tex][ 1 + 15/100 ]^{5}[/tex]
A = $30,170.36 hence, the total amount after 5 year will be $30,170.36.
For more information about compound interest
brainly.com/question/26457073,
#SPJ2
help and thankyou
What is the slope of the line?
Answer:
The slope is 4/5
Step-by-step explanation:
m = rise/run
(-3,1) and (2,-3)
4/5
m = 4/5
2/5 of 2/3
What’s the answer to this? I’m failing math and I kinda forgot how to do fractions lol
Answer:
4/15 is your answer my friend
Step-by-step explanation:
Answer:
when the equation says of, all you need to do is multiply the two numbers, so the answer is 4/15
------
find an equation for the line below
The result of subtracting 2 from its opposite is____.
00
1
4
-4
Answer:
-4
the answer is -4
Help pleaseeEeEeEeE ASAP
Answer:
32 miles in 8 weeks
Step-by-step explanation:
I say 32 miles in each week because if he walks 1 mile in 4 days . In 8 weeks you multiply 4 times 8 and get 32 so he walks 32 miles in 8 weeks?..
Write the perimeter of the triangle as a simplified polynomial. Then factor the polynomial. The perimeter of the triangle is (Simplify your answer.)
Answer:
(x+5)(3x+1)
Step-by-step explanation:
Add all the sides together to get perimeter.
Then Factor once you are done adding.
You answer is (x+5)(3x+1)
The perimeter of the triangle as a simplified polynomial is (3x + 1)(x+5)
Perimeter of a triangleThe perimeter of a triangle is the sum of all the sides of the triangle.
According to the figure shown, the perimeter of the shape is given as:
P = 2x²+1 + 4x+4 + x²+12x
P =3x² + 16x + 5
Factorize
P =3x² + 15x + x+ 5
P = 3x(x + 5) + 1(x+5)
P = (3x + 1)(x+5)
Hence the perimeter of the triangle as a simplified polynomial is (3x + 1)(x+5)
Learn more on perimeter here: https://brainly.com/question/19819849
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1. What is 7/50 as a Percentage?
2. What is 3/25 as a Percentage?
3. What is 3/16 as a Percentage?
Please help!
un numero aumentado en 5
Answer: x + 5
Step-by-step explanation:
Match each equation with its solution...I dont get this
Answer:
go to demos.com (calculator) trust me amd type the equation in as so ex: e+ 3/8 = 2 type it in as 2- 3/8 then you'll see the little fraction number by your answer sometimes youll have to press that
Pliss help me
Classify these numbers as Irrational and Irrational and place them in their correct area.
vo 1 35.421109, V17.39, II, 200 18,0,-9
Answer:A
Step-by-step explanation:
how do i solve 3yi(6- 7yi )
Answer:
18yi+ 21y^2
Step-by-step explanation:
answer 18 yi+21y2
step by step
Guys help ASAP! Is 2 a solution of 4x+12=4 complete the statement
Answer:
false ; is not
Step-by-step explanation:
Please help me with the question below.
Answer:
Alicia is correct
Step-by-step explanation:
The triangles are similar, then ratios of corresponding sides are equal, that is
left triangle to right triangle gives
[tex]\frac{r}{k}[/tex] = [tex]\frac{s}{m}[/tex]
Thus Alicia is correct. Jason has the incorrect sides on the second ratio
1. Resuelve las operaciones indicadas.
Repasar tema jerarquia
b) (8) (5) (-4)
Answer:
-160
Step-by-step explanation:
Can I please get the answer?
Answer:
24x+10y≥200
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]24x+10y\ge 200\\ \\ 12x+5y\ge 100[/tex]
A conical water tank has a radius of 6 feet and a depth of 24 feet. What is the capacity of the tank? (use π = 3.14)
I WILL GIVE BRANLIEST AND 10 POINTS
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
Answer:
For the volume, the formula is length*width*height
so
(2)(1.5)(1.5)=4.5
In other words, your answer would be 4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
(2)(1.5)(1.5)=4.5
Hope This Helps!!
