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2 years ago

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What is the exact value of cotangent (StartFraction 3 pi Over 4 EndFraction)? –1 Negative StartRoot 2 EndRoot 1 StartRoot 2 EndR

oot.

1 answer:

timurjin [86]2 years ago

6 0

1 negative startroot 2 end root 1 start root 2 end root

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0.5 km = M <br><br> Pls help me!!

Fudgin [204]

Answer:

500

Step-by-step explanation:

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3 years ago

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Graph a line with a slope of 3/4that contains the point (2, -3)

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5, 3, 2, 6, 7, 9, 1, 15, 4, 2, 3, 3, 9, 5, 1, ?

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Step-by-step explanation:

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2 years ago

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In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second

Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is $(x+3)$ .

The 3rd number is a square of the second. So, the third number is $(x+3)^2$ .

Therefore, the first, second and third numbers are $x,(x+3),(x+3)^2$ respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

$x+(x+3)+(x+3)^2=77$

Therefore, the required equation is $x+(x+3)+(x+3)^2=77$ .

d. On simplification, we get

$x+x+3+x^2+6x+9=77$ $[\because (a+b)^2=a^2+2ab+b^2]$

$x^2+(6x+x+x)+(3+9)=77$

$x^2+8x+12=77$

Subtract 77 from both sides.

$x^2+8x+12-77=77-77$

$x^2+8x-65=0$

Therefore, the simplified form of the required equation is $x^2+8x-65=0$ .

6 0

2 years ago

The length of a rectangle is five more than the width. The perimeter is 130cm. What is the area?

Evgen [1.6K]

<h2>Greetings!</h2>

Answer:

≅ 586.8

Step-by-step explanation:

Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.

The total perimeter is:

(2 * x) + (2 * 5x) because each side has another parallel one.

This means that 2x + 10x = 130

12x = 130

Divide both sides by 12:

$\frac{12x}{12} = \frac{130}{12}$

x = $\frac{65}{6}$

So the area = length * width

x * 5x = area

Substitute the values in:

$\frac{65}{6} * (5*\frac{65}{6})$ = 586.8055... ≅ 586.8

So the approximate area is 586.8

<h2>Hope this helps!</h2>

5 0

3 years ago