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3 years ago

Square root of 529 ////////////////////////////

Mathematics

2 answers:

alexira [117]3 years ago

7 0

Answer:

the square root of 529 is 23.

densk [106]3 years ago

3 0

Answer:

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Step-by-step explanation:

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Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.

nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0

3 years ago

The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled

jolli1 [7]

Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: $12x^2 + 8x + 25$ units.

<h3>How to calculate perimeter of a triangular figure?</h3>

Perimeter of a triangle = Sum of lengths of all its 3 sides.

For the given case, we have:

Length of first side(hypotenuse) = $8x^2$ units

Height = $4x^2 + 15$ units

Base is of length $8x + 10$

Thus, its perimeter is calculated as:

Perimeter of a triangle = Sum of lengths of all its 3 sides.

Perimeter = $8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25$ units

Perimeter = $12x^2 + 8x + 25$ units

Thus,

The perimeter of the consider triangular pool is: $12x^2 + 8x + 25$ units.

Learn more about perimeter here:

brainly.com/question/10466285

3 0

2 years ago

HELP!!<br>Find the third term of (x^2+3y)^3

lana66690 [7]

Answer:

$T_{3}=27{x}^{2}y^2$

Step-by-step explanation:

The given binomial expression is:

$( {x}^{2} + 3y)^{3}$

When we compare to:

${(a +b)}^{n}$

We have

$a = {x}^{2}$

$b = 3y \\ n = 3$

The nth term is given by;

$T_{r+1}=^nC_ra^{n-r}b^r$

To find the 3rd term, we put:

$r + 1 = 3 \\ r = 2$

We substitute into the formula to get:

$T_{3}=^3C_2( {x}^{2} )^{3-2}(3y)^2$

We simply:

$T_{3}=3( {x}^{2} )^{1} \times 9y^2$

$T_{3}=27{x}^{2}y^2$

3 0

3 years ago

Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

Elina [12.6K]

Hey there!

Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.

Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is $\frac{1}{4}$ .

Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.

The answer will be B, "a dilation with a scale factor of $\frac{1}{4}$ and then a translation."

Hope this helped you out! :-)

5 0

3 years ago

Read 2 more answers

What is the measure of angle BCD? WILL GIVE BRAINLIEST!

Lorico [155]

Answer:

m∠BCD = 120°

Step-by-step explanation:

Since the interior angles of a quadrilateral add up to 360°, then we get:

2x+x+2x+x=360°

6x=360°

<em>Divide both sides by 6</em>

x=60°

Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.

8 0

3 years ago