What is SV? T 69 U 69 3x x+42 V s

Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

$AC^2=AD^2+DC^2$

Upon substituting our given values in above formula we will get,

$x^2=(30\text{ cm})^2+(30\text{ cm})^2$

$x^2=900\text{ cm}^2+900\text{ cm}^2$

$x^2=1800\text{ cm}^2$

Let us take square root of both sides of our equation.

$x=\sqrt{1800\text{ cm}^2}$

$x=42.4264\text{ cm}\approx 42\text{ cm}$

Therefore, the length of diagonal of our given square is 42 cm.

8 0

3 years ago

55.8 is 62% of what number?

zhenek [66]

90

55.8 /? = 62/100
55.8 x 100= 62 x ?
5580=62 x ?
5580/62 = ?
?=90

7 0

3 years ago

Which action is not a step in using paper folding to find the midpoint of a line

dedylja [7]

Answer:

A. Draw a line from the segment to any point on the fold line.

Step-by-step explanation:

When using the paper folding method to find the midpoint of a line segment we take the following steps:

Draw a line segment on the tracing paper
Fold the tracing paper so that the endpoints lie on top of each other
Mark the intersection of the fold and the segment with a point

These steps include statements B, C, and D. Drawing a line from the segment to any point on the fold line, which is statement A, is not included in these steps because it is not needed.

Thus, choice A is not a step in using paper folding to find the midpoint of a line segment.

5 0

3 years ago

What is the value of X

ExtremeBDS [4]

$\dfrac{6}{9}=\dfrac{x+3}{3+9}\\
\dfrac{2}{3}=\dfrac{x+3}{12}\\
3(x+3)=24\\
x+3=8\\
x=5$

8 0

3 years ago

Each wheel of gias bicycle is 24 inches in diameter gia rides her bike 1,884 feet to the nearest whole number how many times doe

cupoosta [38]

The wheel turned a total of 300 times in 1,884 feet.

Step-by-step explanation:

Step 1:

The wheels of the bicycle have a diameter of 24 inches. So the radius of the wheels is 12 inches.

To determine how many times the wheel turns we divide the distance traveled by the circumference of the wheels.

The circumference of a circle is given by multiplying 2π with the radius.

The circumference of the wheel $= 2(3.1415)(12) = 75.396.$

The circumference of the wheel is 75.396 inches.

Step 2:

Gia traveled 1,884 feet, we need to convert this into inches.

If 1 feet = 12 inches, 1,884 feet = 22,608 inches.

The number of times the wheel turned $\frac{22,608}{75.396} = 299.8567.$

Rounding this off, we get that the wheel turned a total of 300 times in 1,884 feet.

6 0

3 years ago