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3 years ago

What is the square root of 75 in simplified form?

Mathematics

2 answers:

devlian [24]3 years ago

7 0

Answer:

√75 as 5⋅√3.

Arada [10]3 years ago

4 0

Answer: the first one 5√3

Step-by-step explanation:

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The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship:

$tan \theta = \frac{H'}{d}$

since

H' represents the side of the triangle opposite to $\theta$

d represents the side of the triangle adjacent to $\theta$

Solving the equation for $\theta$ , we find the angle of elevation:

$\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}$

3 0

3 years ago

An object has been thrown straight up into the air. The formula h = vt - 16t^2 gives the height of the object above the ground a

Oxana [17]

Answer:

8 seconds.

Step-by-step explanation:

To solve this question, we need to find the time, $t$ , when $h = 0$ , that is, when the height of the object above the ground is 0 feet.

Substituting $v = 128$ feet per second and $h = 0$ gives the quadratic:

$0 = 128t - 16t^{2}$

Since 128 is divisible by 16, it can be reduced to $0 = 16(8t - t^{2})$ .

We must now solve for $t$ .

We can easily see that one answer to the equation is 0,

$8(0) - (0)^{2} = 0$ (we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.

The second answer, $t = 8$ is also easy to see by inspection:

$8(8) - (8)^{2} = 0$ .

Therefore the object lands 8 seconds after it is thrown.

6 0

3 years ago

Simplify cos θ sec θ.

cupoosta [38]

Here you go :) ......

4 0

4 years ago

Read 2 more answers

Anyone can u please help me.

Lina20 [59]

Answer: i cant see the pic i would help but i cant see picture

Step-by-step explanation:

5 0

3 years ago

3x-4y=0 2x+y=110 no solution

weeeeeb [17]

Answer:

(x, y) = (40, 30)

Step-by-step explanation:

A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.

An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:

y = 110 -2x . . . . . . subtract 2x from both sides

Using this in the first equation gives ...

3x -4(110 -2x) = 0 . . . . substitute for y

11x = 440 . . . . . . . . . simplify, add 440

x = 40 . . . . . . . . . . divide by 11

y = 110 -2(40) = 30

The solution is (x, y) = (40, 30).

5 0

2 years ago