what is trigonometry
trigonometry is a very common branch of mathematics the word trigonometry means measurement of side of a triangle this branch of mathematics can be used to find the angle of a triangle knowing its side or to find the ratio of side of triangle knowing its angle
fact
angle equals to Arc / radius its unit is radian Radian equals to 180 degree sin, cos ,tan, cot, sec , cosec 6 trigonometric ratio each ratio is written by its first small English laterHELP ME PLEASE :( Will mark as brainlist, only correct answers
Q: compare and examine the difference between each of the following pairs of expressions.
•2n and 2 + n
•n² and 2n
•2n² and (2n)²
Comment whether each pair of expressions is equal. Explain ur answer.
Answer:
None of the pairs of expressions are equal
Step-by-step explanation:
• 2n ≠ 2 +n
2n is the same as 2 times of n (expressed as a multiplication sign), while 2 +n is the addition of 2 to n.
•n² ≠ 2n
n²= n ×n
2n= 2 ×n
• 2n² ≠ (2n)²
Note that in the latter, there is a bracket which means that the square applies to both 2 and n.
(2n)²
= (2)² × n²
= (2 ×2)(n²)
= 4n²
Thus, none of the pairs of expressions are equal.
WILL MARK BRAINLIEST:
This week Harry spent 1/2
of his pocket money on a ticket for a football ma
He also spent 1/8
of his pocket money on a scarf at the match.
(a) What fraction of his pocket money has Harry spent?
(b) What fraction of his pocket money does Harry have left?
The fraction of money spent is 5 / 8 x.
The fraction of money left is 3 / 8 x.
How to find the fraction of money he spent?This week Harry spent 1/2 of his pocket money on a ticket for a football match. Therefore,
let
x = amount of money he has
Therefore,
amount spent on football match = 1 /2 x
He also spent 1/8 of his pocket money on a scarf at the match.
Therefore,
amount spent on scarf = 1 / 8 x
Fraction of money spent = 1 / 2 x + 1 / 8 x = 4 + 1 / 8 = 5 / 8 x
Fraction of money left = x - 5/8 x = 8x - 5x/8 = 3 / 8 x
learn more on fraction here: https://brainly.com/question/24216547
#SPJ5
What is the value of 4/15 divided by 2/3 as a fraction
Answer:
2/5Step-by-step explanation:
4/15 ÷ 2/3 = ?4/15 × 3/2 = ?12/30 = ?12 ÷ 6 ; 30 ÷ 6 = ?2/5[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Step-by-step explanation:
pls mark me as brainliest
Find set
A={1, 2, 6, 10}
B={3, 6, 9, 10, 11}
C = {1, 2, 4, 7, 11}
If U = {1, 2, 3, …, 12} is the universal set, and
A = {1, 2, 6, 10}
B = {3, 6, 9, 10, 11}
C = {1, 2, 4, 7, 11}
then
(1) A U B is the set containing all elements from A and B,
A U B = {1, 2, 3, 6, 9, 10, 11}
(2) A ∩ B is the set of elements that are contained in both A and B,
A ∩ B = {6, 10}
(3) Unfortunately, A ∩ B U C is somewhat ambiguous. It could mean (A ∩ B) U C or A ∩ (B U C ). Then either
(A ∩ B) U C = {6, 10} U {1, 2, 4, 7, 11} = {1, 2, 4, 6, 7, 10, 11}
or
A ∩ (B U C ) = {1, 2, 6, 10} ∩ {1, 2, 3, 4, 6, 7, 9, 10, 11} = {1, 2, 6, 10}
The first interpretation is probably the intended one, since that essentially reads the set operations from left to right.
(4) A' U B is the union of A' and B, where A' is the complement of A, or all elements in U that are not in A. We have
A' = U - A = {3, 4, 5, 7, 8, 9, 11, 12}
and so
A' U B = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
(5) We have
A U C = {1, 2, 4, 6, 7, 10, 11}
so that
(A U C )' = U - (A U C ) = {3, 5, 8, 9, 12}
(6) We have
B' = U - B = {1, 2, 4, 5, 7, 8, 12}
and so
A ∩ B' = {1, 2}
(7) Using the complements found in (4) and (6), we have
A' U B' = {1, 2, 3, 4, 5, 7, 8, 9, 11, 12}
Alternatively, we can use the fact that
A' U B' = (A ∩ B)'
and since we know from (2) that A ∩ B = {6, 10}, we end up with the same result,
(A ∩ B)' = U - (A ∩ B) = {1, 2, 3, 4, 5, 7, 8, 9, 11, 12}
(8) We have
A U B U C = {1, 2, 3, 4, 6, 7, 9, 10, 11}
so that
(A U B U C )' = {5, 8, 12}
Match the lengths of each set of legs with the length of the corresponding hypotenuse that will form a right triangle.
Assume the lengths are in the same unit of measure.
4 and 1
15
5 and 6
29
2 and 5
61
17
9 and 12
Answer: the answer is in the screenshot
Step-by-step explanation:
The hypotenuse of each set of legs of a right triangle are:
1. 5 and 6 => √61
2. 4 and 1 => √17
3. 2 and 5 => √29
4. 9 and 12 => 15
What is the Hypotenuse?In a right triangle, the hypotenuse is the longest side that is opposite to the right angle. The hypotenuse can be determined by finding the square root of the sum of the other two legs.
1. √(5² + 6²) = √61
2. √(4² + 1²) = √17
3. √(2² + 5²) = √29
4. √(9² + 12²) = 15
Learn more about the hypotenuse on:
https://brainly.com/question/2217700
The length of a rectangle is 3 more than five times its width. If the perimeter of
the rectangle is 30 meters, find the dimensions of the rectangle.
Answer:
Image result for The length of a rectangle is 3 more than five times its width. If the perimeter of the rectangle is 30 meters, find the dimensions of the rectangle.
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
Convert 9.3 kribs into grees given that 4.2 kribs = 18 grees.
Answer:
39.9 grees
Step-by-step explanation:
Since 4.2 kribs = 18 grees
Then,
1 krib = 18/4.2 grees
9.3 kribs = (18/4.2) x 9 3
9.3 kribs = 39.9 grees.
36/38 in its simplest form??
Answer:
18 / 19
Step-by-step explanation:
Divide it by 2
Evaluate 5a3 + 3b4 when a 4 and b= - 5
Are points Q, R, X, & W non-coplanar? Explain.
Answer:
No, they are co-planar.
Step-by-step explanation:
Points Q, R, X, and W are all in the plane QRXW. Planes do not have to be at ninety-degree angles (that is, straight up and down or straight to the left and right). However, the points Q, S, U, and X would not be coplanar as a plane must be a flat surface.
Can someone help me please ?!? :)
8(2)^2 + 8(2) + 9 = 57
your answer is 57
have a nice semester :)
Answer:
57
Step-by-step explanation:
8(2)^2 + 8(2) + 9
8×4+16+9
32+16+9=57
The area of the rectangle below is 72 in?. If the height is
4.8 in, what is the length?
72 in?
[tex]\\ \sf\longmapsto Area=LB[/tex]
[tex]\\ \sf\longmapsto 72=4.8L[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{72}{4.8}[/tex]
[tex]\\ \sf\longmapsto L=15in[/tex]
hence length=15inAnswer: Just find all whole number factors:
Step-by-step explanation:1x72, 2x36
3x24, 4x18
6x12, 8x9
Total 6 possible dimensions
Please help with A, B, and C!! Giving BRAINLIEST
Answer:
3.14 (π)
√-1
0.6
Step-by-step explanation:
hope this helps please like and mark as brainliest
I need help with this please!!!
Evaluate (5)8x
When x=-3
Answer:
-120
Step-by-step explanation:
(5)8x
(5)(8)(-3)
5(-24)
= -120
Hi! I'm happy to help!
To solve this, we just have to insert -3 for x. Because the 5 in parenthesis is next to the eight with no other sign, it represents multiplication. Since the eight is next to the x with no other sign, it also means multiplication.
(5)8x
(5)·8·x
We can remove the parenthesis.
5·8·x
5·8·-3
40·-3
-120
So, when x=-3, (5)8x evaluates to -120.
I hope this was helpful, keep learning! :D
Evaluate -8 + 10x4 (-2).
Answer:
-8+10*-8
-88 is correct answerStep-by-step explanation:
mark me as brainliest ❤️
Step-by-step explanation:
Follow BODMAS rule...
-8+10×(-8)
-8-80
-88 Answer
A motorcyclist is heading South for 1000m. He arrives at his destination in 105 seconds, what is his velocity?
Answer: V = 200m/21sec.
Step-by-step explanation:
1000m/105 sec = 200m/21sec
You babysit to make a little extra money. You charge $12 an hour and earned $180 by the end of the month. How many hours did you babysit?
a. Write an equation that models the problem.
b. Find the solution. Include units.
Answer:
The equation is 12x=180. You worked for 15 hours.
Step-by-step explanation:
Do 12x=180 then divide by 12. You get x=180/12. Then simplify
Answer:
$15/hr
Step-by-step explanation:
y= mx + b
180= 12h+ b
solution = 15 hrs
Someone help me with #12
Answer:
12.
[tex]x = \frac{PQ-14}{3}[/tex] and [tex]x = \frac{QR + 10}{7}[/tex]
Step-by-step explanation:
Hope this helps!
Have a nice day! :-)
Answer:
x = 6
Step-by-step explanation:
If PQ = 3x + 14, QR = 7x - 10, and Q is the midpoint of PR, then PQ = QR.
[tex]PQ = 3x + 14 = QR = 7x - 10\\3x + 14 = 7x - 10\\3x + 24 = 7x\\24 = 4x\\6 = x\\x = 6[/tex]
The sum of 8 and the quotient of a number and 25
Answer:
8 + n/25
Step-by-step explanation:
helppppppp pleaseeereee
Which number sentence has a product of 42?
7 × (-6)
-6 × 7
-7 × (-6)
-7 × 6
Answer:
-7 × (-6)
Step-by-step explanation:
7 × (-6) = -42
-6 × 7 = -42
-7 × (-6) = 42
-7 × 6 = -42
Answer:
[tex] - 7 + ( - 6) = 42[/tex]
I hope I helped you^_^
Micheala pays her cell phone service provider $19.95 per month for her service plan and 15 cents per minute. In June, her phone bill is $127.95. How many minutes did micheala use in June
Answer:
720 minutes
Step-by-step explanation:
Total phone bill = $127.95
Service plan fee = $19.95
Total cost per minute = 127.95 - 19.95
= $108.00
No. of minutes used = Total cost per minute / Rate per minute
= 108.00 / 0.15
= 720 minutes
Pablo está estudiando los números racionales e irracionales. ¿A qué conclusión él
puede llegar acerca del número 0.202002000200002...?
El número en cuestión es un Número Real que Racional e Infinito por causa de su Periodicidad.
Un Número Racional es un Número Real que satisface la siguiente forma:
[tex]\frac{a}{b}[/tex], [tex]\forall \,a,b \in \mathbb{Z}[/tex], [tex]b\ne 0[/tex]
Un Número Racional puede ser Positivo, Neutro o Negativo, así como un Número Entero o No Entero. En el caso de los Números No Enteros, sus equivalentes Decimales pueden ser Finitos o Infinitos, cuyo último caso se caracteriza por tener Periodicidad y que puede describirse matemáticamente como un Sumatoria infinita de Números Racionales.
Un Número Real que no puede ser representado por un Número Racional se denomina como Número Irracional.
En consecuencia, podemos concluir que el número en cuestión es un Número Real que Racional e Infinito por causa de su Periodicidad.
Invitamos a ver esta pregunta relacionada con Números Racionales: https://brainly.com/question/13851103
The sum of negative eighteen and a number is eleven. What is the number?
Which equation could be used to solve the problem?
-x + 18 = 11
x + 18 = 11
18 - x = 11
x - 18 = 11
Answer:
[tex]take \: number = x \\ then \\ x + - 18 = 11 \\ x = 11 + 18 = 29 \\ equatio n= x - 18 = 11 \\ thank \: you[/tex]
For what values of x is the equation x2−x=20 true?
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
For what values of x is the equation x² − x = 20 true?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf \: x ^ { 2 } - x = 20[/tex]
Subtract 20 from both sides.
[tex] \sf \: x^{2}-x-20=0 [/tex]
To solve the equation, factor [tex]\sf\: x^{2}-x-20[/tex] using formula [tex]\sf\:x^{2}+\left(a+b\right)x+ab=\left(x+a\right)\left(x+b\right)[/tex]. To find a and b, set up a system to be solved.
[tex] \sf \: a+b=-1 \\ \sf \: ab=-20 [/tex]
As ab is negative, a and b have the opposite signs. As a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -20.
[tex] \sf1,-20 \\ \sf 2,-10 \\ \sf4,-5 [/tex]
Calculate the sum for each pair.
[tex] \sf1-20=-19 \\ \sf2-10=-8 \\ \sf 4-5=-1 [/tex]
The solution is the pair that gives sum -1.
[tex] \sf \: a=-5 \\ \sf \: b=4 [/tex]
Rewrite factored expression [tex]\sf \left(x+a\right)\left(x+b\right) [/tex] using the obtained values.
[tex] \sf\left(x-5\right)\left(x+4\right) [/tex]
To find equation's solutions, solve x-5=0 and x+4=0.
[tex] \bf \: x=5 \\ \bf x=-4[/tex]
⇨ The values of x are 5 & - 4.
factorise the quadratic equation x^2 + 14 + 48 hence solve the quadratic equation x^2 + 14 + 48 = 0
Step-by-step explanation:
[tex] {x }^{2} + 14 + 48 = 0 \\[/tex]
(x+6)=0(or)(x+8)=0
x+6=0 ( or) x+8=0
x=-6 (or)x=-8
Does anyone know 81,452 divided by 93
Answer:
875
Step-by-step explanation:
8 - (3 + b) = b - 9
please show work
8 - (3 + b) = b - 9
Opening the brackets changes the symbol to it's opposite symbol, which gives us
8 - 3 - b = b - 9
By using the transposition method, we get
8 - 3 + 9 = b + b
or, 14 = 2b
or, 14/2 = b
or, 7 = b
The value of b is 7.
Complete the solution of the equation. find the value of y when x = -14
-2x-3y=49
Complete the solution of the equation. find the value of y when x = -14.
-2x - 3y = 49Solution:To find the value of y we need to plug and substitute the equation if x = -14.
-2x - 3y = 49-2(-14) - 3y = 4928 - 3y = 49-3y = 49 - 28-3y = 21/-3y = -7Answer:The value of y is -7I am very confused on this question.
Answer:
A= (-6, 5)
M= (-1.5, -1)
B= (3, -7)
Step-by-step explanation:
*----------------*---------------*
A M B
B has the same distance from M as A from M.