Answer:
31.42cm
Step-by-step explanation:
What are the four branches of Mathematics?
Answer:
The main branches of mathematics are algebra, number theory, geometry and arithmetic.
Answer:
The main branches of mathematics are algebra, number theory, geometry and arithmetic. Based on these branches, other branches have been discovered.
a
2a
3a
5a
The sum of the first five terms of this sequence is 228
Work out the value of a,
We will see that the value of a is 12.
How to get the value of a?
We have a Fibonacci sequence, and the first four terms are:
a, 2a, 3a, 5a.
Because it is a Fibonacci sequence, the next term should be the sum of the two previous ones.
3a + 5a = 8a
Then the sum of the first 5 terms is:
(a + 2a + 3a + 5a + 8a) = 228
We can solve this for a.
(1 + 2 + 3 + 5 + 8)*a = 228
19*a = 228
a = 228/19 = 12
So we conclude that the value of a is 12.
If you want to learn more about sequences, you can read:
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evaluate (1/64)^1/6. express your answer as a fraction in simplest form
ANSWER:
1/2
EXPLANATION:
Plug this into calculator -->
(1/64) ^ (1/6) and you will get exactly
0.5 which is equal to 1/2
*Note = this can also be done by changing it to...
⁶√[1/64]
If you know this root (2⁶ = 64) then it is 2, and 1 over 2 is equal to one half
How many months are in half of a year?
Answer:
a year is 12 months so there would be 6 months in half a year
Answer:
6
Step-by-step explanation:
there are 12 months in a whole year so just divide that by 2 and you get 6!
Prove:-
(tan x + sec x)2 = 2 sec^2x+2 tanx secx-1
Answer:
see explanation
Step-by-step explanation:
using the identity
tan²x = sec²x - 1
consider the left side
(tanx + secx)² ← expand using FOIL
= tan²x + 2tanxsecx + sec²x
= sec²x - 1 + 2tanxsecx + sec²x ← collect like terms
= 2sec²x + 2tanxsecx - 1
= right side , thus proven
A 1/2 kilogram of flour is packed equally into 6 bags. How much
flour is in each bag?
A. 1/3 kilogram
B. 1/4 kilogram
C. 1/12 kilogram
D. 1/18 kilogram
Niobium-91 has a half-life of 680 years. After 2,040 years, how much niobium-91 will remain from a 300. 0-g sample? 3 g 18. 75 g 37. 5 g 100. 0 g.
Answer:
Amount of Niobium-91 initially
= 300/91 =3.2967mol
2040 years = 3 ×680 = 3 half-lives
therefore, amount left = 0.4121mol
mass of Niobium-91 remaining = 0.4121 ×91 =37.5g
Please give brainliest
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?
Answer:
20 pieces
Each roll has 36 inches of ribbon. This means that 5 rolls have 180 inches of ribbon (5 x 36 = 180).
You can then divide the 180 by 9 to find out how many 9 inch pieces the dressmaker can cut from 5 rolls of ribbon.
Equation representation:
36 inches x 5 rolls = 180 inches in total
(one roll)
180 inches ÷ 9 = 20 peices
In conclusion, the dressmaker can cut 20, 9-inch pieces from 5 rolls of ribbon.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
HURRRY WILL MARK BRAINLIEST
Answer:
Daniel is incorrect, Bella and Carlos run at 5 seconds each (Respectively), while Daniel runs at 20 seconds
Give me brainliest answer
Question 11
What is the slope of the line Perpendicular to
pls pls pls help!!!
Divide £150 in the ratio
2:7:1
Answer:
15
Step-by-step explanation:
2:7:1
=>2+7+1
=10
10/150= 15
£150 in the ratio 2:7:1 its equal to 15
Higher Order Thinking Three classes
have the same number of students. The
teachers compared attendance on one
Friday. Mr. Lopez had 92.5% of his
students in class. Mrs. Foster had 19/20 of
her students in class. In Ms. Kelly's class,
0.9 of the students were present. Which
teacher had the most students in class
that Friday?
LID
Answer:
Mrs. Foster's class had the most students in class that Friday
Step-by-step explanation:
Mr Lopez - 92.5%
Mrs Foster - 19/20
Mr Kelly - 0.9
Let's say that there were 40 students in class
92.5% of 40 would be 37
So
Mr Lopez's Class had 37 students.
19/20 of 40 would be 38
So
Mrs Foster's Class had 38 students
0.9 of 40 would be 36
So
Ms Kelly's class had 36 students
Therefore, from looking at this, the answer would be Mrs Foster's Class
Please help urgent!!
Answer:
B
Step-by-step explanation:
six is 6 and since 7 is last in 6.017 then 0.007 and 0.1
i hope this helps
How many cubes with edge lengths of 1/4 in. will it take to fill the prism a 56 cubes b 375 cubes c 6000 cubes i need to hurry
Answer:
I'm not too shmert so I will guess, ok?
Help me please and thank you
Since the shape is a parallelogram, there are 2 pairs of opposite but equal sides --> "6a+21" and "20a+7" "11a" and "4a+7"
The easier pair is
11a = 4a+7 Subject 4a from both sides
7a = 7 Divide 7 from both sides
a = 1
A = 1
Find the length of each arc. Round your answer to the nearest tenth.
Show your steps, equations, and work.
Answer: 285.1 square yards
Step-by-step explanation:
-2X-3-4Х
A) -6x -3
B) -3 -2x -4x
C) -x + 4x
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
OA. It is the graph of F(x) translated 11 units to the right.
OB. It is the graph of f(x) translated 11 units to the left.
OC. It is the graph of f(x) where the slope is increased by 11.
OD. It is the graph of f(x) translated 11 units up.
The correct answer is OA. It is the graph of f(x) translated 11 units to the right.
The transformation g(x) = f(x - 11) represents a horizontal translation of the graph of f(x) = x.
When we substitute x - 11 into the function f(x), it shifts the entire graph 11 units to the right.
This is because for every value of x in f(x), we are now evaluating f(x - 11), which means the x-values are shifted to the right by 11 units.
Therefore, the correct statement is that g(x) is the graph of f(x) translated 11 units to the right.
for such more question on graph
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if the zeros of a quadratic function are -4 and 6, what is the equation of the axis of symmetry of F?
Answer: x = 1
Step-by-step explanation:
[tex]\mathrm{The \ quadratic \ equation \ with \ roots \ at \ -4 \ and \ 6 \ is \ given \ by:}\\$$\begin{aligned}&y=(x+4)(x-6) \\&y=xx+x\left(-6\right)+4x+4\left(-6\right) \\&y=x^2-2x-24\end{aligned}$$[/tex]
[tex]\mathrm{For \ a \ quadratic \ equation \ in \ standard-form \ $y=ax^{2}+b x+c$.}\\The axis of symmetry is a vertical line $ x=\frac{-b}{2 a} . \\ \marthm{Here } \ b & =-2 \quad, \ a=1\end{array}$[/tex]
[tex]x=\frac{-(-2)}{2 \times 1}=\frac{2}{2}=1 \\\\ \mathrm{Therefore \ x=1 \ is \ the \ equation \ of \ the \ axis \ of \ symmetry \ of \ F}[/tex]
Can anyone help? Screenshots are below.
AB has endpoints at -2 and 12. What is the coordinate of its midpoint?
A
A
-6-4-2
B
+
8 10 12 14 16
0
2
4
6
O A 7
B. 5
C 6
D. 4
O
The ratio of girls to boys in the seventh grade is 5 : 7. How many boys are in the seventh grade if there are 40 girls?
Answer:
40: 56
Step-by-step explanation:
what is the opposite of a square root
Answer: Squares, cubes, and higher powers are shown as small digits called indices. The opposite of squaring and cubing is called square root and cube root.
The opposite of a square root as requested is; The square.
According to the question;
We are required to determine what is the opposite of a square root.The square root of a number, x yields a number, y whose square is x.
In essence;
If √x = y; thenx = y²Read more;
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What is the measure of HKI
pls pls help me asap !!!
Answer:
is 105
Step-by-step explanation:
Answer:
105°
Step-by-step explanation:
Please help me solve for x
Answer:
You would do this problem like a normal varible problem. x=10
Step-by-step explanation:
Since 9x is a right angle the inside would also be 9x
9x+4x+10+40=180
180 because that is how much a triangle equals
combine like terms
13x+50=180
subtract 50 from both sides
13x=130
divide by 13
x=10
Hope this helps!
PLESS I DONT WANT TO GET BEAT TODAY BY MY MOM PLESSSS HELP ME х у х Note: Figure is not drawn to scale. If x = 5 units, y = 15 units, and h = 8 units, find the area of the parallelogram shown above using decomposition. OA. 120 square units OB. 40 square units OC. 160 square units OD. 80 square units
Answer:
160 square units
Step-by-step explanation:
First, lets focus on the triangles.
To find the area of a right triangle, we need to multiply the length by the width, and divide by 2.
(5 * 8) / 2 = 20
(And since there is two triangles, the area of the two is 40.)
To find the area of a rectangle, we need to multiply the length by the width.
15 * 8 = 120
Now we add all the areas together.
120 + 20 + 20 = 160
Is the answer is 160 square units.
Which expression represents the phrase "the difference of 18 and 12"?
help me pls
Answer:
18-12
Step-by-step explanation:
difference means subtraction so it would be a subtraction problem and you just plug in the numbers and your set.
i am __ to be home again (deight)
Answer:
The words the speaker could use in the blank are...
GladSo happyDelightedsome text added here for great reasons...
A cylinder has a radius of 4 inches and a height of 2 inches. What is its volume
to the nearest tenth?
WILL MARK YOU BRAINLIEST!!!!
Answer:
they want to know all the angles that are the same (congruent) s angle 8
Step-by-step explanation:
by inspection we can tell which are the same at angel 8
2,3,5 are all the same as angle 8