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artcher [175]
3 years ago
9

BRAINLIESTT ASAP! PLEASE HELP ME :)

Mathematics
2 answers:
Sloan [31]3 years ago
8 0
<h3>Answer: B) none of the equations are identities</h3>

Explanation:

If you plug theta = 0 into the first equation and simplify, then you'll get

4*(sin^2(theta)-cos^2(theta)-tan^2(theta)) = 4*tan(theta)*csc(theta)

4*(sin^2(pi/4)-cos^2(pi/4)-tan^2(pi/4)) = 4*tan(pi/4)*csc(pi/4)

4*(1/2 - 1/2 - 1) = 4*1*sqrt(2)

-4 = 5.66

we get a false equation, so the first equation is not an identity.

---------

Plug theta = pi/4 into the second equation

17*((1-cos^2(theta))/(cos^2(theta)) = 17*sin^2(theta)

17*((1-cos^2(pi/4))/(cos^2(pi/4)) = 17*sin^2(pi/4)

17*((1-1/2)/(1/2)) = 17*(1/2)

17 = 8.5

which is a false equation, so this isn't an identity either.

AleksAgata [21]3 years ago
6 0
The answer is number 3 only the first one is an identity most definite
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Linda and Rob open an online savings account that has a 2.89% annual interest rate, compounded
sp2606 [1]

Answer:

FV= $34,222.33

Step-by-step explanation:

<u>First, we need to calculate the weekly interest rate:</u>

Weekly interest rate= 0.0289/52= 0.00056

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= weekly deposit

n= 15*52= 780

A= $35

FV= {35*[(1.00056^780) - 1]} / 0.00056

FV= $34,222.33

4 0
3 years ago
I'm having trouble solving the system of linear equations. This is the system: 5x + 6y = 50 x - 6y = -26 Can you please help me?
natita [175]

Answer:

y = 5 ; x = 4

Step-by-step explanation:

Given :

5x + 6y = 50 - - - (1)

x - 6y = -26 - - - (2)

From (2)

x = - 26 + 6y

Put - 26 + 6y for x in (1)

5(-26 + 6y) + 6y = 50

-130 + 30y + 6y = 50

-130 + 36y = 50

-130 - 50 = - 36y

-180 = - 36y

y = 180 / 36

y = 5

Put y =5 in x = - 26 + 6y

x = - 26 + 6(5)

x = - 26 + 30

x = 4

y = 5 ; x = 4

6 0
3 years ago
An open box is made from a 40​-cm by 80​-cm piece of tin by cutting a square from each corner and folding up the edges. The area
tamaranim1 [39]

Answer:

x=2

Step-by-step explanation:

let x be the edge length of the square removed at each corner;

Hence the area of the base is:

A_b(80-2x)(40-2x)=2736\\\\3200-160x-80x+4x^2=2736\\\\\\4x^2-240x+3200=2736\\\\4x^2-240x+464=0\\\\x^2-60x+116=0

Using the quadratic equation formula, or completing the square, x, or length of a side of one of the squares is x=2 or x=58

#Given that x=58 is larger than 40cm, the side length is x=2

6 0
3 years ago
169= (24/2)^2 +(d/2)^2
OlgaM077 [116]

Answer: d = ±10

<u>Step-by-step explanation:</u>

169 = (\frac{24}{2})^{2} + (\frac{d}{2})^{2}

169 = (12)² + \frac{d^{2}}{4}

169 = 144  + \frac{d^{2}}{4}

25 =            \frac{d^{2}}{4}

100 = d²

√100 = √d²

 ±10 = d

6 0
3 years ago
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
tensa zangetsu [6.8K]
First we need to find the slope: 

Slope formula=\frac{y2-y1}{x2-x1}

Plug in your given values from the coordinate 
Slope =\frac{1-(-3)}{3-1}

When we have 2 "-"'s together they turn into a + sign so we add. 
Slope =\frac{1+3=4}{3-1=2}
Slope =\frac{4}{2}

Simplify (in this case divide) the slope: 
Slope =2

 slope-intercept form is: 
y=mx+b 
Where m=slope
b=y-intercept

So far we have:
y=2x+b 

To find b all we have to do is pick any given coordinate and plug it in: 
I chose (3,1) 

so we plug that in the equation
1=6+b 
 
Now solve for b:
1=6+b
subtract 6 from both sides 
b=-5  

Final answer: 
y=2x-5 (D) 
8 0
4 years ago
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