Someone help for 5 and 6
if a + b + c is equals to 270 then prove that sin a cos b sin c + cos a sin b sin c + sin a sin b cos c = cos a cos b cos c
Answer:
[tex]Solution,\\a +b+c=270\\or, a +b = 270-c\\[/tex]
[tex]cos(a+b) = cos(270-c)~~~~~~~~~and~~~~~~~~~sin(a+b)=sin(270-c)\\or, cos(a+b) = -sinc,~sin(a+b) = -cosc\\Now,\\L.H.S. = sina.cosb.sinc +cosa.sinb.sinc + sina.sinb.cosc\\~~~~~~~~~~= sinc (sina.cosb+cosa.sinb)+sina.sinb.cosc\\~~~~~~~~~~=sinc[sin(a+b)]+sina.sinb.cosc\\~~~~~~~~~~=sinc.-cosc+sina.sinb.cosc\\~~~~~~~~~~=cosc(sina.sinb-sinc)\\~~~~~~~~~~=cosc[sina.sinb+cos(a+b)]\\~~~~~~~~~~=cosc[sina.sinb+cosa.cosb-sina.sinb]\\~~~~~~~~~~=cosc.cosa.cosb\\~~~~~~~~~~=cosa.cosb.cosc \\[/tex]
Hope I helped you!
C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals
purchased, n. The function iſ represented by the equation C(n) = 4 + 3n.
1. Find a value of n such that C(n) = 31 is true.
Answer:
9
Step-by-step explanation:
First, write the equation.
C(n) = 4 + 3n
We know that C(n) = 31, so we can substitute it.
31 = 4 + 3n
Subtract 4 from both sides to isolate the term with the variable.
27 = 3n
Divide both sides by 3 to get the variable by itself.
9 = n
The value of n such that C(n) = 31 is true is 9
Cost functionsGiven the cost in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n as:
C(n) = 4 + 3nIf the cost value C(n) is 31, hence;
31 = 4 + 3n
3n = 31 - 4
3n = 27
n = 27/3
n = 9
Hence the value of n such that C(n) = 31 is true is 9
Learn more on equations here: https://brainly.com/question/2972832
please help im dum.b
Write the percent as a fraction or mixed number in simplest form.--- 180%
Answer:
9/5
1 4/5
Step-by-step explanation:
Answer:
Please find attached pdf
Step-by-step explanation:
whats 2+2 i need this by 10 minw
Answer:
4 :)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
I need help with geometry
Answer:
70
Step-by-step explanation:
Answer:
∠T=70°
Step-by-step explanation:
360-110+(2×90)=70°
∠T=70°
the distance between the two points rounding to the nearest tenth (if necessary).
(-8,1) and (-4,-5)
Answer:
7.2
Step-by-step explanation:
6^2+4^2=52
sqr 52 is 7.21110255 so its 7.2
Fill in the green box.
z
4
9
Z =
= [?]
Geometry/proportions
Solve for x.
Answer: x=19
Step-by-step explanation:
a triangle always=60 so
14+12+15=41
41-60
=19
Answer:
x=19 makanya belajar jangan maen game gitu aja susah amat
SuRpRiSE ShaWTyyyyyyy
Answer:
SUPRISEEEEEEEEEEEEEEEEEE
A person places 1 penny in a piggy banking the first day of the month,
Answer: What’s the rest of the question?
Step-by-step explanation:
HEY LOOK HERE I NEED YOU TOO CHECK IF THIS IS CORRECT!
Answer:its correct
Step-by-step explanation:
25 apples to 10 oranges. What is the rate of the fruit
Answer:
The rate of the fruit is 5 apples to 2 oranges.
Step-by-step explanation:
The rate of the fruit is the ratio of apples to oranges. That is, the number of apples divided by the number of oranges into its simplest fraction form:
[tex]x = \frac{25\,apples}{10\,oranges}[/tex]
[tex]x = \frac{5\,apples}{2\,oranges}[/tex]
The rate of the fruit is 5 apples to 2 oranges.
Alberts bank account decreased by a total of 193 over a period of 12 days. what was the average daily decrease in his account?
Answer:
16.08
Step-by-step explanation:
IF Alberts bank account decreased by a total of 193 over a period of 12 days, then;
193 = 12days
To determine the average daily decrease in his account, thwn;
x = 1 day
Divide both equations
193/x = 12/1
12x = 193
x = 193/12
x = 16.08
Hence the average daily decrease in his account is 16.08
Which table could NOT represent a function?
input 0 1 2 3 4
output 2 4 6 8 10
input 30 40 50 60 70
output 21 11 -1 -11 -21
input 4 9 14 19 24
output 10 12 14 16 18
input -10 -10 0 0 10
output 8 16 24 32 40
Answer:
The fourth one
Step-by-step explanation:
Just cause its right
Jill hired a band to play at her wedding. The band charges $3,000 and requires a 20% deposit. How much money does Jill need for the deposit?
Answer:
3000 times 100
divide by 20
Evaluate f(g(0)) when
f(x) = x-3 and g(x) = -x^2 - 4x
Answer:
-3
Step-by-step explanation:
g(0) = 0
f(g(0)) = 0 - 3 = -3
The first photo in the collage is what I should make a copy of, anyone has any knowledge on how to add the numbers apart of the spreadsheet and the letters?
Answer:
uh no new copy
Step-by-steYou can make a new table to add the amounts and copy the pre-existing amounts or just add a new bar, but I guess it will be better if you just do it again.
What is the mean of the data set?
29, 26, 35, 34
the mean of that set is 31
Answer:
31
Step-by-step explanation:
Add all the numbers:
29 + 26 + 35 + 34 = 124
Divide by 4 (because there are 4 total numbers):
124/4 = 31
WILL MARK BRAINIEST!
Rob is making for his young son a replica armchair of one he uses. The ratio of the length of the arm of the old chair to that of the new chair is 3:2. The arm of the old chair is 9 inches long. How many inches long will the arm of the new chair be?
Answer:
As the ratio of the length of the arm of the old chair to the length of the arm of the new chair is 3/2, and the length of the old chair is 9 inches, hence the length of the arm of the new chair is 6 inches.
The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
How tall are the types of trees that Logan genetically engineered?
Answer:
The pine is 12 m tall and the fir is 12 m tall
Step-by-step explanation:
System of Equations
Let's call:
x = height of a pine tree
y = height of a fir tree
The combined height of one fir tree and one pine tree is 21 meters. This leads to the equation:
x + y = 21 [1]
The height of 4 fir trees is 24 meters taller than one pine tree:
4y = x + 24 [2]
From [1]:
x = 21 - y [3]
Substituting in [2]:
4y = 21 - y + 24
Adding y:
5y = 45
Dividing by 5:
y = 9
Substituting in [3]:
x = 21 - 9 = 12
The pine is 12 m tall and the fir is 12 m tall
Pls help me out.........
15. Simplify an expression for the area of the
rectangle shown below.
8x - 2.
4.
Answer:
Area of the rectangle A = 32 x - 8
Step-by-step explanation:
Explanation:-
Given that the length of the rectangle(l) = 8x-2
Given that the width of the rectangle (w) = 4
Area of the rectangle = length × width
A = (8x - 2) × 4
A = 32 x - 8
Final answer:-
Area of the rectangle A = 32 x - 8
m
(9x + 2)
1
(5х – 1)°
740
What is mz2?
39°
570
ОООО
67°
740
Answer:
m∠2 = 67°Step-by-step explanation:
m║n ⇒ (9x + 2)° = 74° {Corresponding Angles}
(9x)° = 72°
x = 8
Angles: angle corresponding to angle (5x-1)°, angle 74° and angle 2 add to 180° (straight angle)
(5×8 - 1)° + 74° + m∠2 = 180°
39° + 74° + m∠2 = 180°
113° + m∠2 = 180°
m∠2 = 180° - 113°
m∠2 = 67°
A fair spinner has 11 equal sections: 4 red, 4 blue and 3 green.
It is spun twice.
What is the probability of getting 2 different colours?
The rectangle on the right is a scaled copy of the rectangle on the left. Identify the
scale factor. Express your answer as a whole number or fraction in simplest form.
45
30
15
45/2
Hace 5 años la edad de un joven era 1/3 de la edad del papá y dentro
de 5 años la edad del joven será 1/2 de la edad del papá. Si x es la edad
actual del joven y si y es la edad actual del papá. ¿Cuál es la edad actual
de cada uno?
Ya está es mi última pregunta si me ayudan seria estupendo
Answer:
respuesta el joven tiene 15 y el padre 30
A total of 100 students were surveyed
and asked which color they would like in
the school flag.
5 checked only green.
8 checked only red.
12 checked only blue.
19 checked red and green.
22 checked blue and green.
13 checked red and blue.
How many checked all 3 colors?
Rate of change and slope. Can anybody help me? This is a major and I do not understand the problem.
Step-by-step explanation:
1. the rate of change is constant. the slope is 3
2. the rate of change is variable, because it's not consistent.
is 2.6457513110 a rational number?