Answer:
[tex]a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b) [/tex]
Step-by-step explanation:
we have:
[tex] \tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)[/tex]
we also have:
[tex] \tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)[/tex]
from (1)(2) => proven
Your mother has a new cell phone. It comes with 18 apps already installed. She only uses 2/3 of those apps. She downloaded 12 more apps that she uses frequently. Write an equation to represent the total number apps your mom uses.
Answer:
Step-by-step explanation:
The cell phone comes with 18 apps already installed, but she only uses 2/3 of the apps. Therefore, we need to find 2/3 of 18 to find the number of apps she uses. 2/3 * 18 = 12 apps she uses frequently. Outside of that, she downloads 12 more frequently used apps, so you add 12 to 12 to get 24 total apps that she uses.
However, the question asks for the equation to find the answer. So, the equation would be like:
18(2/3) + 12 = x
where x is representing the number of apps she uses.
what is x / 15 equals 5. what is x?
Answer:
x = 75
Step-by-step explanation:
x/15 = 5
Multiply each side by 15
15*x/15 = 5*15
x = 75
Answer:
x = 75
Step-by-step explanation:
Reverse the problem meaning you have to do multiplication
5 times 15 is 75
To check your work divided 75 by 15 and if it equals 5 it is correct
Hope this helped :]
Find the equation of the line. Use exact numbers
y= ?x+ ?
Answer:
y=3x+3
Step-by-step explanation:
slope is 3 because rise over run. Rise is 3 and run is 1. 3/1 is 3. and b= y-intercept and the poiunt wehre the line intercepts the y axis is 3. so your answer is y=3x+3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line
There is an image below. Is ThIs CoRrEcT? If it's wrong, what is it?
ed on exam
115. Which is the equation of a
quadratic function with x-intercepts
(-5,0) and (1,0)?
a. y = x2 - 4x - 5
b. y = x2 - 4x + 5
c. y = x2 + 4x - 5
d. y = x2 + 4x + 5
Answer:
I believe it is C, y= x^2 +4x -5
If Mr. Bisby wants to know the average of the grades on a test, what measure of central tendency would he be looking at?
(Spelling counts so make sure to spell it correctly)
Answer: The answer is mean.
Step-by-step explanation:
This measure of central tendency helps you figure out the average of data.
Factor 4b2 - 5b - 6.
A) (2b + 3)(2b + 2)
B) (4b + 3)(b - 2)
C) 2(b + 6)(2b - 1)
D) (b - 6)(4b + 1)
Answer:
[tex]4b^2 - 5b - 6 = 4b^2 -8b + 3b - 6 = 4b(b -2 )+3(b-2) = (4b+3)(b-2)[/tex]
option B
The factor form for of given expression is [tex](4b+3)(b-2)[/tex].
What is a method of factorizing?
Quadratic factorization using splitting of middle term : In this method splitting of middle term in to two factors.
What is the factor of given expression?The middle term of the given expression -5b can be split as 3b-8b.
On using this in the given expression we get,
[tex]4b^2-5b-6=4b^2+3b-8b-6[/tex]
Take common factor out from first two and last two terms,
[tex]b(4b+3)-2(4b+3)[/tex]
Take the common factor out.
[tex](4b+3)(b-2)[/tex]
Therefore, the factor form of given expression is [tex](4b+3)(b-2)[/tex].
Learn more:https://brainly.com/question/25829061
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I need this in 1 min
Answer: 12
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Opps I'm sorry I did that wrong. Im so sorry
Which graph represents the inequality y ≥ x + 3m
Answer:
Pardon, ne
Step-by-step explanation:
HELP I WILL MARK BRAINLIEST
Answer:
308
Step-by-step explanation:
22 x 15.4 = 338.8
338.8 / 1.1 = 308
Combine like terms to create an expression equivalent to: n +n + n + y + y
Answer:
[tex]3n+2y[/tex]
Step-by-step explanation:
LIKE TERMS: TERMS WHOSE VARIABLES AND EXPONENTS ARE THE SAME.
[tex](1)n+(1)n+(1)n+(1)y+(1)y[/tex]
When combining variables that do not have coefficients, there is always an invisible '1' in front of the variable.
[tex](1)n+(1)n+(1)n = 3n.[/tex]
[tex](1)y+(1)y=2y.[/tex]
[tex]3n+2y.[/tex]
help pls 70 points i will mark brainliest
Answer:
B
Step-by-step explanation:
there is a picture on top
please help find the gradient :)
Answer:
gradient m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = - x - 3 ← is in slope- intercept form
with gradient m = - 1
Answer:
[tex]\rm Slope = -1[/tex]
Step-by-step explanation:
Given :-
A equation of line .[tex]\rm y = -x-3[/tex]And we need to find out the gradient of the line. The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,
Slope intercept form :-
[tex]\rm\implies y = mx + c [/tex]
Where m is the slope of the line and c is y intercept .On comparing it to slope Intercept Form , we have ,[tex]\implies \rm Slope (m) = (-1)[/tex]
Hence the gradient of the line is (-1) .
How much interest would Ms. Saver earn at the end of 1 year if she placed $5000 in a
bank that paid 3% interest?
A $10.50
B. $15.00
C. $150.00
D. $1500.00
A group of students is painting a background piece for the school play. What is the area of the gray part of the background. Please help no links
Answer:
1324 in²
Step-by-step explanation:
Rectangle: 40x30=1200
Triangle: 1/2x10x30=150
1200+150=1350
Door: 3x6=18
Window: 2x4=8
18+8=26
1350-26=1324
If y varies directly as x and y = 24 when
x= 16, what is y when x = 50?
Answer:
[tex]y = 75[/tex]
Step-by-step explanation:
Given
[tex]y\ \alpha\ \ x[/tex]
[tex]y=24; x =16[/tex]
Required
Find y when [tex]x = 50[/tex]
We have:
[tex]y\ \alpha\ \ x[/tex]
Express as equation
[tex]y = kx[/tex]
Solve for k
[tex]k = \frac{y}{x}[/tex]
When [tex]y=24; x =16[/tex]
[tex]k = \frac{24}{16}[/tex]
[tex]k = \frac{3}{2}[/tex]
When [tex]x = 50[/tex], we have:
[tex]y = kx[/tex]
[tex]y = \frac{3}{2} * 50[/tex]
[tex]y = 75[/tex]
Help !!!!!!!!!!!!!!!!!!!!!
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
2
1+3
1+32+2
Thanks Thanks Hope it helpsAnswer:
1+3=4
2+2=4
there are only 2 possible ways in which the sum will add up to 4
therefore the answer is 2
Meng had 346 stickers. On Monday he gave away 38. On Tuesday he gave away 49. on Wednesday he gave away 16.
How many stickers does Meng have left?
Answer:
243 stickers
Step-by-step explanation:
346-38=308
308-49= 259
259-16=243
HELPPPP MEEEEE ITS 5 GRADE MATH IK HELP ME IM FAILING RN :(((((
Answer:
i think c
Step-by-step explanation:
Answer:
Gross income for an individual—also known as gross pay when it's on a paycheck—is the individual's total pay from their employer before taxes or other deductions. This includes income from all sources and is not limited to income received in cash; it also includes property or services received.
Net income- In business and accounting, net income is an entity's income minus cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.
I think its B
Step-by-step explanation:
Help within 10 min pleeeeeeeeeease
Answer:
10
Step-by-step explanation:
Simplify -4(2x - 3) + 7 x – 1.
Answer:
-x+11
Step-by-step explanation:
Help PLZZ NO FILES PLZZ
Answer:
5 (B)
Step-by-step explanation:
Change the decimal 5.4 to a percent. [make sure you include the % sign in your answer]
Answer:
5.4 as a percent is 540%
Hope I helped! :)
Answer:
I think the answer is 525%
Examine the system of equations.
5x + 6y = 32
5x – 6y = 8
Which variable or variables will be eliminated when you add the system of equations?
Which equation results from adding the system of equations?
9514 1404 393
Answer:
y is eliminated10x = 40Step-by-step explanation:
The coefficients of y are opposites. Adding opposites results in a sum of 0. The y-term will be eliminated by adding the equations.
The result of that addition is ...
(5x +6y) +(5x -6y) = (32) +(8)
10x = 40
Jenny cut an apple into eight equal slices. She gave
of the apple to Kendall.
Which shows how much of the apple Jenny has left?
Answer:
what did percent or fraction did she give Kendall?
Step-by-step explanation:
NO LINKS!!!!!
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
Answer:
look at the photo
Step-by-step explanation:
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
7.5 = 2.5 ln Mln M = 3m = e^3 = 20.08553692Hope it will help you
Can someone just check and tell me if this is right. If it's not correct can you explain how to do it?
AnswerI think its crrect]
Step-by-step explanation:
Answer:
75°
Step-by-step explanation:
When a quadrilateral is incribed in a circle, opposite angles equal 180.
180-105=75
Help solve this problem pls
I am an arc that measures between Oº and 180° WHAT AM I?
Answer:
a semicircle?
Step-by-step explanation:
The measure of the angles of a triangle are shown in the figure below. Solve for x
Step-by-step explanation:
x+39+90=180 ( sum of angle of triangle is 180)
x=61