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3 years ago

The length of one side of a square city block is 462 meters. what is the perimeter of the block

1 answer:

3 0

The perimeter of any shape is just what you get when you add up all of the side lengths. We know that one side is 462 meters, and since a square has four equal sides, we can just mulitply 462 × 4 to get our perimeter, 1,848 meters.

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What number must be added to the expression below to complete the<br> square?<br> x² - 18x

kiruha [24]

Answer:

$\boxed {\boxed {\sf 81}}$

Step-by-step explanation:

The standard form of a quadratic is:

$ax^2+bx+c$

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.

The expression given:

$x^2-18x$

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

$(\frac{b}{2})^2$

The b in the expression is -18.

$(\frac{-18}{2})^2$

$(-9)^2= -9*-9= 81$

This is the number that is added.

5 0

3 years ago

The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.

MaRussiya [10]

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where $w$ is the width and $l$ is the length.

The perimeter of a rectangle is twice its length added to twice its width.

$2l+2w=22$

The length is 3 more than the width:

$l = w+3$

We can now substitute in $w+3$ as $l$ in the equation $2l+2w=22$ .

$2(w+3) + 2w = 22$

Distribute the first terms:

$2w+6+2w=22$

Combine like terms:

$4w+6=22$

Subtract 6 from both sides:

$4w=16$

Divide both sides by 4:

$w = 4$

Now we know that w = 4. We can now substitute this inside an equation to find $l$ .

$l = w+3\\\\l = 4+3\\\\l=7$

Hope this helped!

7 0

3 years ago

Find the height of the triangle

Paul [167]

There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.

We'll do the sine trig. identity, as it is the most effective.

Given an angle ' $\alpha$ ' in a right triangle, ' $sin( \alpha )$ ' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.

So, for this setup:
$sin(20)= \frac{x}{10}$

Now, we solve for x:
$x=10sin(20)=3.42$

So, answer is 3.4

7 0

3 years ago

Read 2 more answers

Simplify 4(x+2)-3(7+y)

strojnjashka [21]

Use distributive property <em>a(b + c) = ab + ac</em>

4(x + 2) - 3(7 + y) = (4)(x) + (4)(2) + (-3)(7) + (-3)(y)

= 4x + 8 - 21 - 3y = 4x - 3y - 13

4 0

3 years ago

A camera has a listed price of $53.98 before tax. If the sales tax rate is 6.75% , find the total cost of the camera with sales

nikdorinn [45]

Answer:

$57.62

Step-by-step explanation:

$53.98 x 6.75% = $3.64

$53.98 + $3.64 = $57.62

6 0

3 years ago