All categories

3 years ago

Pls help with this math

Mathematics

2 answers:

eimsori [14]3 years ago

5 0

The answer is B) 27

If explanation is needed, let me know

KengaRu [80]3 years ago

5 0

The answer to your question is a

You might be interested in

In the rope climb, a 75 kg athlete climbs a vertical distance of 5.0 m in 9.0 s. What minimum power output was used to accomplis

Komok [63]

Answer:

The minimum power output used to accomplish this feat is 408.625 watts.

Step-by-step explanation:

The minimum power is that needed to overcome potential gravitational energy at constant velocity. From Principle of Energy Conservation, Work-Energy Theorem and definition of power we obtain the following relationship:

$\dot W = m\cdot g \cdot \dot y$ (Eq. 1)

Where:

$m$ - Mass of the athlete, measured in kilograms.

$g$ - Gravitational constant, measured in meters per square second.

$\dot y$ - Climbing rate, measured in meters per second.

$\dot W$ - Power, measured in watts.

By the consideration of constant velocity, we get that the climbing rate is represented by:

$\dot y = \frac{s}{t}$ (Eq. 2)

Where:

$s$ - Travelled distance, measured in meters.

$t$ - Time, measured in seconds.

And by substituting on (Eq. 1), the following expression is found:

$\dot W = \frac{m\cdot g\cdot s}{t}$

If we know that $m = 75\,kg$ , $g = 9.807\,\frac{m}{s^{2}}$ , $s = 5\,m$ and $t = 9\,s$ , then the minimum power output is:

$\dot W = \frac{(75\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (5\,m)}{9\,s}$

$\dot W = 408.625\,W$

The minimum power output used to accomplish this feat is 408.625 watts.

8 0

2 years ago

Two triangles are similar. The sides of one are three times as long as the sides of the other. What is the ratio of the areas of

Setler [38]

Answer:

1 : 9

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

4 0

3 years ago

Thomas had 12 juice boxes he gave some to his sisters he now has more rhan 5 left.Which inequality can be used to find j the num

Ivahew [28]

Answer:

J < T - 5

Step-by-step explanation:

T = The number of juice boxes Thomas had

J = The number of juice boxes Thomas gave to his sisters

Thomas had 12 juice boxes

T = 12

He gave some to his sisters he now has more than 5 left.

T - J > 5

-J > 5 - T

J < -5 + T

J < T - 5

5 0

2 years ago

Is 74.3 grater than or less than 7.43

melamori03 [73]

74.3 is greater than 7.43

8 0

3 years ago

Read 2 more answers

You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo

taurus [48]

Answer:

We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

1+2+4+8+16+32+64+128+256+489=1000
Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since $x-489\leq511$ , by 2) we know that this would be possible.

4 0

2 years ago