If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle?Can someone explain this one?

Answers

Answer 1

Answer: Use the Pythagoras therom.
let the diagonal be x
⇒54²+72²=x²
⇒8100=x²
x=90meters

Answer 2

Answer: let the diagonal be a.
now, as we know that each angle in a rectangle is right angle.
thus we have a right angled triangle.
now, we can apply pythagoras theorum.
a^2 = 54^2 + 72^2
= 2916 + 5184
=8100
thus, a^2 = 8100
thus, a = 90.
Thus the diagonal is 90metres.

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Say that the economy is in an expansion, causing wages to increase by six percent. If you previously received a monthly salary of $1,375.00, what will your new monthly salary be? Round all dollar values to the nearest cent.

Answers

1457.50 dollars or 1458 dollars rounded

Answer:

1457.50

Step-by-step explanation

Took the tester

Determine the intercepts of the line x intercept ...... y intercept ?

Answers

Answer:

Step-by-step explanation:

x-intercept if when y is 0, so, on the x-axis. as we can see the x-intercept is -40

y-intercept if when x is 0, so, on the y-axis. as we can see the y-intercept is 15

Answer:

x-intercept: $(-40,0)$

y-intercept: $(0,15)$

Step-by-step explanation:

The x-intercept is the point where the line meets the x-axis, and the y-intercept is the point on the line which meets the y-axis.

The line intersects the y-axis at $15$ , so the y-intercept is $(0, 15)$ .

The line intersects the x-axis at $-40$ , so the x-intercept is $(-40, 0)$ .

Hope this helps :)

The sum of three consecutive even numbers is one hundred sixty - two.What is the smallest of the three numbers ?

Answers

Answer:

Step-by-step explanation:

Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...

x + (x+2) +(x+4) = 162

3x = 156 . . . . . . . . . . . .subtract 6

x = 156/3 = 52

The smallest of the three numbers is 52.

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I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.

Solve the following equation. Then determine if the equation is an identity or a contradiction.2(3n + 3) - 9 = 6n

Answers

Let's solve the equation step by step:

1. Start with the equation: $2(3n+3)-9=6n$.

2. First, distribute the 2 on the left side of the equation:
$6n + 6 - 9 = 6n$.

3. Next, simplify the equation by combining like terms. The 6n on both sides can be canceled out:
$6 - 9 = 0$.

4. Simplify further:
$-3 = 0$.

Now, let's analyze the result:

The equation $-3 = 0$ is a contradiction. This means that there is no value of $n$ that will satisfy the equation. In other words, there is no solution to this equation.

F(x)=2/3x+3
What is the value of f(12)?

Answers

Answer:

f=1/18x+1/4 x=-9/2+18f

What's the value of sec 60 degrees

Answers

Answer:

Step-by-step explanation:

$\sec \: 60 \degree = 2$

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