Answer:
It is proved .
Step-by-step explanation:
[tex]\alpha +\beta +\gamma =\pi.....(1)\\\\sin\alpha + sin\beta +sin\gamma=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]
Take LHS
[tex]=sin\alpha + sin\beta +sin\gamma\\\\=2 sin \frac{\alpha +\beta }{2} cos\frac{\alpha -\beta }{2} + sin\gamma\\\\=2 sin\frac{180-\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}\left [ cos \frac{\alpha - \beta}{2}+sin\frac{180-\alpha-\beta}{2}\\ \right ]\\\\=2 cos\frac{\gamma}{2}\times 2 cos\frac{\alpha}{2}cos\frac{\beta}{2}\\[/tex]
[tex]=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]
Hence proved.
factorise fully the expression 2d^2-7d
Answer:
d(2d-7)
Step-by-step explanation:
2d^2 -7d
take common
=d(2d-7)
[tex] \large \boxed{ \rightarrow d(2d - 7)}[/tex]
Solution :[tex] \rightarrow2d {}^{2} - 7d[/tex]
[tex] \rightarrow d(2d - 7)[/tex]
[tex] \mathfrak{hope \:it \: helps \: you.....}[/tex]
Which of these r-values represents the weakest correlation
A 0.6
B 0.3
C 0.5
D 0.4
Answer:
B
Step-by-step explanation:
0.3 is weakest
what is the degree of polynomial x^2y^2+y^3+4?
Answer:
The degree of the polynomial ≈ 4
Step-by-step explanation:
The degree of a polynomial, is given by the highest value of the sum of the exponents (powers) of the of the variables (monomials) that are present in the polynomial expression
The given polynomial expression is x²·y² + y³ + 4
The sum of the exponents; 2 + 2 = 4, and 3
The sum of exponents 4 > 3
Therefore, the degree of the polynomial = 4.
Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if she sold $4800 worth of merchandise?
Answer:
712
Step-by-step explanation:
400+6.5%of 4800
312+400=712
The triangles shown below are similar. Find the length of QS.
Answer: The value of QS is 8 cm.
Step-by-step explanation:
First calculating the side QT.
As per given figure:
ΔPQT ≈ ΔRST
[tex]\frac{PQ}{RS}=\frac{QT}{ST}[/tex]
Given:
PQ = 9 cm
RS = 3 cm
ST = 4 cm
Now putting all the given values in the above expression, we get:
[tex]\frac{PQ}{RS}=\frac{QT}{ST}\\\\\frac{9cm}{3cm}=\frac{QT}{4cm}\\\\QT=12cm[/tex]
Now calculating the value of QS.
QT = QS + ST
12 cm = QS + 4 cm
QS = 12 cm - 4 cm
QS = 8 cm
Thus, the value of QS is 8 cm.
find the first 5 terms in 3n^2/2
Find the median of 3,4,6,2,2,9,2,10
The answer is 4.75 you just need to add all of the numbers and then divide it to the total sum :)
Carry On Learning (◕ᴗ◕✿)
in the similar triangle ABE and triangle CDE,AB=10cm,ED=4cm,CD=8cm find the length of BC
9514 1404 393
Answer:
BE = 5 cm
Step-by-step explanation:
Your problem statement asks for the length of BC. There is no segment BC. Points B and C are in different triangles.
The length of segment BE can be found from the proportion ...
BE/DE = AB/CD
BE = DE·AB/CD = (4 cm)(10/8)
BE = 5 cm
What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answer:
-7/3 +\- 1/3i
Step-by-step explanation:
divide rs 50000 bettween two charties in the ratio of 1/10: 1/15
TELL PLEASE
Answer:
sorry
Step-by-step explanation:
i dont know
sjksiisje
jsjsjdjdjdj
sjjsjd
Answer:
30000 : 20000
Step-by-step explanation:
Given the ratio
[tex]\frac{1}{10}[/tex] : [tex]\frac{1}{15}[/tex] ( multiply both parts by 30 the LCM of 10 and 15, to clear the fractions )
= 3 : 2
sum the parts of the ratio, 3 + 2 = 5 parts
Divide the amount by 5 to find the value of 1 part of the ratio
50000 ÷ 5 = 10000 ← value of 1 part of the ratio, then
3 parts = 3 × 10000 = 30000
2 parts = 2 × 10000 = 20000
Then
50000 = 30000 : 20000 in the ratio 3 : 2
24 : 56 is equivalent to 3 : __
Answer:
3 : 7
Step-by-step explanation:
24/56 = 3 / 7
Answer:
3:7 helpful answer to your question have a nice evening
can somebody help me frl frl cause I'm failing
Find the indicated area of the sector surrounded in bold . Use 3.14 for pi!
Answer:
75.4 yd²
Step-by-step explanation:
Formula for Area of a sector when the central angle is given in degrees is given as :
θ/360 × πr²
Where:
Central angle = θ = 135°
Radius = r = 8yd
π = 3.14
Hence,
135/360 × 3.14 ×(8yd)²
= 75.36 yd²
Approximately the Area of the sector = 75.4 yd²
Date
Page
Out
of
100 students who appeared in
grade.VIII annual examination
of
Ram
Janaki Secondary School.60 passed in
mothematics, 50 in science and 20 students
passed in both subject find how
many
failed in both subject ? Aso show above information
student
in Venn-
bright
Venn-diagram
huan anatoa )
Sonnant Babase
eigshoos te
oloh
Answer:
10 student failed in both subjects.
Step-by-step explanation:
Since out of 100 students who appeared in grade VIII annual examination of Ram Janaki Secondary School, 60 passed in mathematics, 50 in science and 20 students passed in both subjects, to determine how many failed in both subjects the following calculation must be performed:
(100 - 20) - (60 - 20) - (50 - 20) = X
80 - 40 - 30 = X
40 - 30 = X
10 = X
Therefore, 10 student failed in both subjects.
hii guys I'm sorry I am close to failin, and I sorry tay I'm asking a lot for questions :c
Answer:
A≈87.96
Step-by-step explanation:
A=2πrh+2πr2
= 2pi(2)(5) + 2pi(2)2
Answer:
Hello! answer: 87.92
Step-by-step explanation:
Im a little rusty on these but the answer I believe would be 87.92
2 × 2 × 3.14 = 12.56
2 × 2 × 3.14 = 12.56
4 × 3.14 = 12.56 12.56 × 5 = 62.8
12.56 + 12.56 + 62.8 = 87.92
Hope that helps!
List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).
What Quadrant would the following numbers be in:
-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____
4/10 + 5/100
Pls help now
Answer:
4/10 + 5/100= 9/20
Step-by-step explanation:
Answer:
9/20
Step-by-step explanation:
reduce the fraction with 2
4/10+5/100
2/5+5/100
2/5+1/20
write all numerators above the least common denominator 20
8+1/20
8+1=9
9/20
X^2 +
1/x^2
+12(x+1/x) +38,
Answer:
44
Step-by-step explanation:
Brainliest + 20 points goes to whoever answers correctly also if you want more points then answer my others
Can somebody help me
At the market you can buy 5 bags of apples for $23.60. At the farm you can buy 7 apples for $32.76. Which is the better deal
Answer:
Market
Step-by-step explanation:
Market : 5 bags = $23.60
Farm : 7 apples = $32.76
Market = $23.60 ÷ 5
= $4.72 each BAG
Farm = $32.76 ÷ 7
= $4.68 each APPLE
Thus, market is the better deal because you will get 5 bags of apple for $4.72 for each bag.
Need help with this??? Please!!!
Answer:
the first option
Step-by-step explanation:
(f-g)(x) simply means to subtract both expressions. really literally.
and we go through it power by power of x.
the highest power/exponent of x is 3 (x³). only f(x) has one.
so, -7x³ is the first part of f-g.
next is x².
11x² - 6x² = 5x², which is the second part of f-g.
next is x.
-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.
next is x⁰ (in other words, no x, just a constant).
4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.
we have no x to the power of -1 or -2, so we have -3
0 - (-4x‐³) = 4x‐³, which is the last part of f-g.
so, it is clearly the first answer option.
PLEASE HELP!! The green line below *blank*. Check all that apply.
A. is parallel to the x-axis
B. crosses the origin
C. is in the xy-plane
D. crosses the y-axis
Answer:
D. crosses the y-axis
[tex]{ \tt{crosses \: y - axis \: at \: y = 5}}[/tex]
Brainliest goes to whoever answers correctly and explains
Answer:
The answers are below
Step-by-step explanation:
1 - 6ft
2 - 8 years
3 - 9ft
A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to the nearest tenth of a mile?
Answer: [tex]17.4\ \text{miles}[/tex]
Step-by-step explanation:
Given
A plane has traveled 26 miles on a course heading [tex]48^{\circ}[/tex] east of north
Taking the component of travel in North direction
The distance traveled in North is given by with the help of figure
[tex]\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}[/tex]
PLS HELP ILL MARK BRAINLIEST Complete each sentence with minimum or maximum and the corresponding numeric values. The _____________ value of f(x) = –|x – 4| – 5 is __________ when x = _________ . The _______ value of f(x) = x2 – 2x + 1 is ___________ when x = _________ .
Answer:
Step-by-step explanation:
1) the maximum value of f(x) = –|x – 4| – 5 is -5 when x = 4
2) the minimum value of f(x) = x2 – 2x + 1 is 0 when x = 1
Solve the following system of equations by substitution. PLEASE HELP!
Answer:
(1,-1)
Step-by-step explanation:
y = -1
5x+7y = -2
Substitute the first equation into the second
5x + 7(-1) =-2
5x -7 = -2
Add 7 to each side
5x-7+7 = -2+7
5x= 5
Divide by 5
5x/5 = 5/5
x =1
(1,-1)
You are 3 times older than your younger sister and you are 12 years old. Write an equation to solve for your sister's age
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
Answer:
0.39063241
Step-by-step explanation:
cost per item: 6.06
items sold: 64321
total profit: 25123.5
sale price: ?
x = number of items
64321x - 6.06x = 25123.5
64314.94x = 25123.5
x = 25123.5/64314.94 = 0.39063241
An item costs $386 before tax, and the sales tax is $15.20.
Find the sales tax rate. Write your answer as a percentage.
Answer:
Sales tax rate = 3.94%
Step-by-step explanation:
[tex]Sales \ tax \ rate = \frac{15.20}{386} \\\\Sales \ tax \ rate = \frac{38}{965} \\\\[/tex]
Sales tax rate = 0.039378... ⇒ 3.94%
