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3 years ago

Which of the following is irrational? PLEASE HELP ASAP I WILL CRON BRAINLIEST

Mathematics

1 answer:

Sveta_85 [38]3 years ago

7 0

Answer:

All of them are irrational except √9 which is rational.

Step-by-step explanation:

√5= 2.2606797749(irrational)

√9=3(rational) this one is rational

√7=2.64575131106(irrational)

√3.31662479035(irrational)

hope it helps.

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In a circus performance, a monkey is strapped to a sled and both are given an initial speed of 3.0 m/s up a 22.0° inclined track

Aloiza [94]

Answer:

Approximately $0.31\; \rm m$ , assuming that $g = 9.81\; \rm N \cdot kg^{-1}$ .

Step-by-step explanation:

Initial kinetic energy of the sled and its passenger:

$\begin{aligned}\text{KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2} \times 14\; \rm kg \times (3.0\; \rm m\cdot s^{-1})^{2} \\ &= 63\; \rm J\end{aligned}$ .

Weight of the slide:

$\begin{aligned}W &= m \cdot g \\ &= 14\; \rm kg \times 9.81\; \rm N \cdot kg^{-1} \\ &\approx 137\; \rm N\end{aligned}$ .

Normal force between the sled and the slope:

$\begin{aligned}F_{\rm N} &= W\cdot \cos(22^{\circ}) \\ &\approx 137\; \rm N \times \cos(22^{\circ}) \\ &\approx 127\; \rm N\end{aligned}$ .

Calculate the kinetic friction between the sled and the slope:

$\begin{aligned} f &= \mu_{k} \cdot F_{\rm N} \\ &\approx 0.20\times 127\; \rm N \\ &\approx 25.5\; \rm N\end{aligned}$ .

Assume that the sled and its passenger has reached a height of $h$ meters relative to the base of the slope.

Gain in gravitational potential energy:

$\begin{aligned}\text{GPE} &= m \cdot g \cdot (h\; {\rm m}) \\ &\approx 14\; {\rm kg} \times 9.81\; {\rm N \cdot kg^{-1}} \times h\; {\rm m} \\ & \approx (137\, h)\; {\rm J} \end{aligned}$ .

Distance travelled along the slope:

$\begin{aligned}x &= \frac{h}{\sin(22^{\circ})} \\ &\approx \frac{h\; \rm m}{0.375}\end{aligned}$ .

The energy lost to friction (same as the opposite of the amount of work that friction did on this sled) would be:

$\begin{aligned} & - (-x)\, f \\ = \; & x \cdot f \\ \approx \; & \frac{h\; {\rm m}}{0.375}\times 25.5\; {\rm N} \\ \approx\; & (68.1\, h)\; {\rm J}\end{aligned}$ .

In other words, the sled and its passenger would have lost (approximately) $((137 + 68.1)\, h)\; {\rm J}$ of energy when it is at a height of $h\; {\rm m}$ .

The initial amount of energy that the sled and its passenger possessed was $\text{KE} = 63\; {\rm J}$ . All that much energy would have been converted when the sled is at its maximum height. Therefore, when $h\; {\rm m}$ is the maximum height of the sled, the following equation would hold.

$((137 + 68.1)\, h)\; {\rm J} = 63\; {\rm J}$ .

Solve for $h$ :

$(137 + 68.1)\, h = 63$ .

$\begin{aligned} h &= \frac{63}{137 + 68.1} \approx 0.31\; \rm m\end{aligned}$ .

Therefore, the maximum height that this sled would reach would be approximately $0.31\; \rm m$ .

7 0

2 years ago

9. Choose the correct answer.

denpristay [2]

Answer:

what the h3ll type of question is this ?-

Step-by-step explanation:

your never gonna get one because you dont have any so the probability is 0%.

6 0

2 years ago

Write and solve an equation to answer the question. after earning interest, the balance of a checking account is $560. the new b

nikitadnepr [17]

2.33 is the aprox number we start off with. if we got to find the original, we divide 560 by (7/3).
after we estimate the divisior we get 240. 560 - 240 gives us 320.
the answer could be 320.

7 0

3 years ago

Which inequality represents “35 is less than 3 times 4 more than a number”

Natasha2012 [34]

I believe it would be 3×4x<35

6 0

2 years ago

A scale on a blue print drawing of a house shows that 10 1010 centimeters represents 2 22 meters. What number of actual meters a

Ivenika [448]

Answer:

On Blue print 18 centimeters represents <u>3.6 meters</u>.

Step-by-step explanation:

Given:

Scale is 10 cm = 2 m

We need to find the number of actual meters are represented by 18 1818 centimeters on the blue print.

Solution:

Now we know that;

10 cm = 2 m

so 1 cm = Number of meters in 1 cm.

By using Unitary method we get;

Number of meters in 1 cm = $\frac{2}{10}=0.2\ m$

Now we know that;

1 cm = 0.2 m

18 cm = Number of meters in 18 cm.

Again by using Unitary method we get;

Number of meters in 18 cm = $0.2\times 18 = 3.6\ m$

Hence On Blue print 18 centimeters represents <u>3.6 meters</u>.

7 0

2 years ago