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Helga [31]
2 years ago
12

Find the length of side xx in simplest radical form with a rational denominator.

Mathematics
1 answer:
anygoal [31]2 years ago
8 0

Answer:

x =   \frac{3}{ \sqrt{2} }

Step-by-step explanation:

{x}^{2}  +  {x}^{2}  =  {3}^{2}  \\ 2 {x}^{2}  = 9 \\  {x}^{2}  =  \frac{9}{2}  \\ x =  \frac{3}{ \sqrt{2} }  \\ x = 2.121

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Jeb is the local tennis pro at the country club, and he needs to know at what height the tennis ball needs to be when he hits it
suter [353]

Answer:

The height from ground, at which Jeb needs to hit the ball is 7.8 meters

Step-by-step explanation:

The given parameters are;

The distance away the tennis ball is hit = 20 meters;

The height of the tennis net = 0.3 m

The distance from the net the ball lands = 4 meters

The time the ball takes to land from the 0.3 m net height is given as follows;

t = √(h/(1/2×g)) = √(0.3/(1/2 × 9.8)) ≈ 0.2474

t ≈ 0.2474 seconds

The speed of the ball = Distance/Time = 4/0.2474 ≈ 16.166

The speed of the ball ≈ 16.166 m/s

The time it takes the ball to reach the net = 20/16.166 ≈ 1.24

The time it takes the ball to reach the net, tₓ ≈ 1.24 seconds

The height, hₓ the ball falls in 1.24 seconds is given as follows;

hₓ = 1/2·g·tₓ² = 1/2 × 9.8 × 1.24² = 7.5

The height, hₓ the ball falls in 1.24 seconds = 7.5 m

The height the ball falls in the time taken to reach the net from 20 meters = The height, hₓ the ball falls in 1.24 seconds

Therefore, the height at which Jeb needs to hit the ball = The height the ball falls in the time taken to reach the net from 20 meters + The height of the net = 7.5 m + 0.3 m = 7.8 m

The height at which Jeb needs to hit the ball = 7.8 m

4 0
3 years ago
The angle of depression from a helicopter to a landing pad is 65 if the horizantal distance from the helicopter to the landing p
MrRissso [65]

Answer:

Approximately 679ft... I don't know exact cuz i did it in my head i used the pythagorean theorem and sin=opp/hyp to find answer Hope this helps

3 0
3 years ago
Stephan earns a base salary of $500 per month plus 10% commission for his monthly sales. If his commission rate is doubled, will
VMariaS [17]

No.  The 10% commission will double to 20%,
but the base salary of $500 won't change.

8 0
3 years ago
Read 2 more answers
What is an equation of a parabola with a vertex at the origin and directrix x=4.75?
patriot [66]
An equation for the parabola would be y²=-19x.

Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis.  This means we will use the standard form

(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.

Beginning with the directrix:

x=h-p=4.75
h-p=4.75

Since the vertex is at (0, 0), this means h=0 and k=0:

0-p=4.75
-p=4.75
p=-4.75

Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
y²=-19x
4 0
3 years ago
Y=5/2x-19 and 5x+2y=-8 a perpendicular,parallel or intersecting lines?
dimaraw [331]

Answer:

There intersecting lines

Step-by-step explanation:

5x+2y=-8

-5x            -5x

2y=-8 -5x

/2   /2  /2

y=-4 -5/2x also

y=-5/2x - 4

&

y=5/2x - 19

neither parallel (slope is not the same)

or perpendicular (slope is not reciprocal or opposite signed)

hope i helped

6 0
3 years ago
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