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Aliun [14]
3 years ago
9

How would you do this last part?

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

broken heart thats the last one lol

Step-by-step explanation:

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How do you solve cos x- sin^2x- 1
jekas [21]
Sin(A + B) = sin(2x + x) = 1/2 
<span>sin(3x) = 1/2 </span>
<span>3x = sin^(-1)[1/2] </span>
<span>3x = pi/6 , 5pi/6 ...etc </span>
<span>x = pi/18 , 5pi/18 ...etc


hope that helped</span>
6 0
3 years ago
A rectangular parking lot has an area of 315 square yards. The width of the parking lot is 5 yards longer than the length of the
Blababa [14]

Answer:

Dimension of parking lot is approximately 15.425 × 20.425 yards.

Step-by-step explanation:

Given:

Area of the parking lot = 315 \ yd^2

Let the length of the parking lot be 'l'

Also Given:

The width of the parking lot is 5 yards longer than the length of the parking lot.

so we can say that;

width of the parking lot, w=5+l

We need to find the dimension of parking lot.

Solution:

Now we can say that;

Area of rectangle is equal to length times width.

framing in equation form we get;

lw=315

Now substituting the value of w in above equation we get;

l(l+5)=315\\\\l^2+5l=315\\\\l^2+5l-315=0

Now we will find the roots using quadratic equation.

ax^2+bx+c =0

a = 1

b=5

c=-315

Formula for quadratic equation is;

l =\frac{-b\±\sqrt{b^2-4ac}}{2a}

First we will find;

\sqrt{b^2-4ac} = \sqrt{5^2-4\times1\times-315} =\sqrt{25+1260}=\sqrt{1285}  \approx35.85

Now we will substitute the value we get;

l =\frac{-5\±35.85}{2\times1}= \frac{-5\±35.85}{2}

Now we will find 2 roots we get;

l= \frac{-5+35.85}{2}= \frac{30.85}{2}\approx15.425\\\\OR\\\\l =\frac{-5-35.85}{2}= \frac{-40.85}{2} \approx -20.425

Now we get 2 values of length one is positive and other is negative.

But length of parking lot cannot be negative hence we will discard the negative value.

Hence the length of the parking lot = 15.425 yards

Width of the rectangular parking lot = l+5=15.425+5 =20.425

Hence we can say that dimension of parking lot is approximately 15.425 × 20.425 yards.

3 0
3 years ago
Based on a​ survey, assume that 43​% of consumers are comfortable having drones deliver their purchases. Suppose that we want to
lutik1710 [3]

Answer:

The probability that exactly three of them are comfortable with delivery by drones is 0.2583.

Step-by-step explanation:

Let <em>X</em> = number of consumers comfortable having drones deliver their purchases.

The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.43.

Then <em>q</em> is, <em>q</em> = 1 - p

A sample of <em>n</em> = 5 consumers are selected.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The pmf of <em>X</em> is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

Compute the value of P (X = 3) as follows:

P(X=3)={5\choose 3}0.43^{3}(1-0.43)^{5-3}\\=10\times 0.079507\times 0.3249\\=0.258318\\\approx0.2583

Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.

6 0
3 years ago
URGENT WILL MARK BRAINLIEST
DiKsa [7]

Answer:

x=2, y=2

Step-by-step explanation:

3x + y = 8

2x + 4y = 12

Multiply the first equation by -4

-12x -4y = -32

Then add to the second equation

-12x -4y = -32

2x + 4y = 12

------------------------

-10x + 0y = -20

-10x = -20

Divide by -10

-10x/-10 = -20/-10

x =2

Now find y

3x+y = 8

3(2)+y = 8

6+y = 8

y = 8-6

y =2

3 0
3 years ago
Read 2 more answers
3/5 divided by 4/5 reduced
scZoUnD [109]

Answer:

3/4

Step-by-step explanation:


5 0
3 years ago
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