Answer:
50
Step-by-step explanation:
Correct question
-16/5, 8, -20. What is the next term of the geometric sequence.
The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
From the sequence:
a is the first term = -16/5
n is the number of term = 4(since next term is 4th term
r is the common ratio = (8)÷(-16/5) = 8×-5/16
r = -5/2
Substitute the given values into the formula
T4 = -16/5(-5/2)^4-1
T4 = -16/5(-5/2)³
T4 = -16/5×-125/8
T4 = -16/8×-125/5
T4 = -2×-25
T4 = 50
Hence the next term is 50
Answer:
Step-by-step explanation:
Question 5
1 pts
5) If a person runs 1/3 mile in 1/9 of an hour, what is
the unit rate per hour?
A. 1/9 mi/hr
B. 1/3 mi/hr
C. 3 mi/hr
D. 9 mi/hr
13. Which number line represents the solution to the inequality -2x + 5 > 15?
!!!!!!WILL MARK BRAINLIEST!!!!!!
Answer:
B
Step-by-step explanation:
Urgent please get the domian and the range for this not just the Range PLEASE SUPER URGENT PLEASEEEE.
Answer:
Domain: [-5,4)
Range: (0, 4]
Step-by-step explanation:
You can see that the domain does not include the number four because of the open dot marking that spot, and the range does not include 0 because of this same reason.
In the given right triangle, find the miss length.
A. 25 m
B. 27 m
C. 26 m
D. 28 m
Answer:
26
Step-by-step explanation:
Answer:
C. 26 m
Step-by-step explanation:
home / math / pythagorean theorem calculator
Pythagorean Theorem Calculator
Please provide any 2 values below to solve the Pythagorean equation: a2 + b2 = c2.
Result
abc
Given a=24 and b=10,
c = 26
∠α = 67.38° = 67°22'48" = 1.17601 rad
∠β = 22.62° = 22°37'12" = 0.39479 rad
area = 120
perimeter = 60
h =
120
13
= 9.2307692307692
+ Show Calculation Steps
a =
24
√
b =
10
√
c =
√
Calculate
Related
Triangle Calculator | Right Triangle Calculator
Pythagorean Theorem
The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:
In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:
a2 + b2 = c2
This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if
a = 3 and b = 4
the length of c can be determined as:
c = √a2 + b2 = √32+42 = √25 = 5
It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:
a = √c2 - b2
b = √c2 - a2
The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.
There are a multitude of proofs for the Pythagorean theorem, possibly even the greatest number of any mathematical theorem.
Algebraic proof:
In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two algebraic proofs of the Pythagorean theorem.
In the first one, i, the four copies of the same triangle are arranged around a square with sides c. This results in the formation of a larger square with sides of length b + a, and area of (b + a)2. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:
(b + a)2 = c2 + 4
ab
2
= c2 + 2ab
which yields:
c2 = (b + a)2 - 2ab
= b2 + 2ab + a2 - 2ab
= a2 + b2
which is the Pythagorean equation.
In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. The four triangles with area ab 2 also form a larger square with sides of length c. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:
(b - a)2 + 4
ab
2
=
(b - a)2 + 2ab
= b2 - 2ab + a2 + 2ab
= a2 + b2
Since the larger square has sides c and area c2, the above can be rewritten as:
c2 = a2 + b2
which is again, the Pythagorean equation.
There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions.
A colony of amoebas is being studied. The mass of the colony triples every day. On Day x of the study, the colony has a mass of 3 ^ x mg. a. What is the mass of the colony on Days 3, 2 and 1? What is the mass of the colony on Day 0, when the study begins? Show your work .
Answer:
mass on day 1: 3
mass on day 2: 9
mass on day 3: 27
Step-by-step explanation:
using this equation, y = 3^x, you can plug in 1, 2, and 3 for 'x' to get the value of 'y' (which represents the mass on specific days)
3^1 = 3
3^2 = 9
3^3 = 27
plz answer my question
Answer:
65
Step-by-step explanation:
15*3+15=60
30*2+15=75
20*4+15=85
10*5+15=65
3(b+1) +1 = 4b
please hurry i need it now
Answer:
4=b
Step-by-step explanation:
3b+3+1=4b
3b+4=4b
-3b -3b
4=b
Casey's grandmother sent her an $85 gift card for her birthday last year. This year, she sent her a $125 gift card. Which proportion can be used to find what percent of last year's gift this year's gift is, if n represents the unknown percent?
nth term of -7 -12 -17 -22 -27
Answer:
[tex]a_n=-2-5n[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the sequence
-7 -12 -17 -22 -27 ...
The first term of this sequence is a1=-7. We can calculate the common difference by subtracting two consecutive terms:
r = -12 - (-7) = -12 + 7 = -5
The nth term is:
[tex]a_n=-7+(n-1)(-5)[/tex]
Multiplying:
[tex]a_n=-7-5n+5[/tex]
Simplifying:
[tex]\boxed{a_n=-2-5n}[/tex]
Pythagorean theory m3/9=3
Answer:
Step-by-step explanation:
m3/9=3
We move all terms to the left:
m3/9-(3)=0
We multiply all the terms by the denominator
m3-3*9=0
We add all the numbers together, and all the variables
m^3-27=0
#learnwithbrainly
4 5/2 - 4 3/2
ANSWER WITH EXPLANATION. BRAINLIST!!!!!
Answer:
1
Step-by-step explanation:
First, we have to make the fractions improper.
To this we would need to multiply the denominator by the whole number and add it to the numerator. 2*4 is 8. 8 + 5 is 13. So for the first fraction, it will be 13/5. Let’s do the second fraction. 2*4 is 8. 8 + 3 is 11. So for the second fraction, it will be 11/2. Since the fractions have the same denominator, we will not have to do anything to them. Now, all you have to do is simple subtraction. 13 - 11 is 2. Since the denominators are the same, it will equal to 2. So the final answer is 2/2 or 1.
20. What is the value of x?
20
56°
Drawing not to scale
5-6
(a) 1
(b) -1
(c) 11
Select the correct answer !!!!!HELP OVER HERE!!!!!!!!!
Answer:
5 - 6
(b) since 5 is lesser than 6
the answer is -1
if the question was the other way round; 6 - 5 is 1
You have 64 grams of a radioactive kind of ruthenium. If its half-life is 3 days, how much will be left after 6 days?
Answer:
1g
Step-by-step explanation:
64
32
16
8
4
2
1
what is the y intercept of the points (2,72) and (5,162)
Answer:
12
Step-by-step explanation:
Type Into Calculator:
SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER
Please help me I will mark brainliest
Answer:
The answer is c man hope this helped
*Spam answers will not be tolerated*
Use the attachment to solve.
Cave (Use the integer alphabet chart to solve.)
Ex: A is -13
Step-by-step explanation:
C = -11
A = -13
V = 9
E = -9
If you are adding them: -24
Hope this helps!
Which point is on the graph of the function y = 3x + 2?
A. (1,5)
B. (2,3)
C. (3,2)
D. (5,1)
Answer:
a 1,5
Step-by-step explanation:
if the yintercept is 2, and the y increases 3 per every x value, then when the x would be one the y would be 5
help me. i will give 5 star and I will heart answer
Answer:
It’s D
Step-by-step explanation:
a box of dried fruit has 51 calories in 3 servings. how many calories are in 1 serving?
Answer:
17 calories
Step-by-step explanation:
Evaluate the following expression. Be sure to show your work.
Answer:
12
Step-by-step explanation:
[tex] \frac{ {6}^{2} }{3} = \frac{36}{3} [/tex]
[tex] \frac{36}{3} = 12[/tex]
Answer:
Step-by-step explanation:
Here you go mate
Step 1
[tex]\frac{6^2}{3}[/tex] Equation
Step 2
[tex]\frac{6^2}{3}[/tex] Simplify the fraction
[tex]\frac{36}{3}[/tex]
Step 3
[tex]\frac{36}{3}[/tex] Divide both sides by 3
12
answer
12
Hope this helps
There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left
Answer:
5
Step-by-step explanation:
xf
M
IF THE VOLUME OF THE BOX BELOW IS
x3 + 6x2 + 9x + 4
AND THE WIDTH OF THE BOX IS x + 4,
THEN FIND THE LENGTH AND HEIGHT OF
THE BOX
Answer:
The length of the box is (x + 1)
The height of the box is (x + 1)
Step-by-step explanation:
The given function representing the volume of the box is presented as follows;
V = x³ + 6·x² + 9·x + 4
The function representing the width of the box, W = x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1
x³ + 4·x²
[tex]{}[/tex] 2·x² + 9·x + 4
[tex]{}[/tex] 2·x² + 8·x
[tex]{}[/tex] x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)
The width of the box = (x + 4)
The length of the box = (x + 1)
The height of the box = (x + 1).
Solve the inequality.
-4x > 12
Answer:
x<3
Step-by-step explanation:
-4x>12
-x>3
x<3
Solve for n.
6(n-3)- 2n=10
-3x=18 HELP PLEASE!!!
Answer:
x=-6
Step-by-step explanation:
Move the -3 under 18 (18/-3), Then you get x=18/-3. Divide!
ANSWER: x=-6
This better? If u seen my last one
will mark brainliest! :)
JKLM is a rhombus. If m
Answer:
55
Step-by-step explanation:
took the test
Answer:
The second one is correct
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
Answer:
D
As temperature increases, so does mpg meaning better milage in warmer temperatures
Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct
Answer:
No, Kareem is incorrect.
Step-by-step explanation:
Kareem says that the ratio of [tex]\frac{4}{1}=\frac{12}{9}[/tex] because 4 + 8 = 12 and 1 + 8 = 9
But the correct way to rewrite the ratio 4 : 1 is,
[tex]\frac{4}{1}=\frac{4\times 3}{1\times 3}[/tex]
Which becomes as,
[tex]\frac{4}{1}=\frac{12}{3}[/tex]
Therefore, Kareem is not correct.
Correct ratio equivalent to 4 : 1 is 12 : 3.