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3 years ago

Between which two consecutive integers does the square root of 134 lie?

Mathematics

2 answers:

marysya [2.9K]3 years ago

4 0

Answer:

11 and 12

Step-by-step explanation:

I took the test

Pani-rosa [81]3 years ago

3 0

√121 < √134 < √144
√121 = 11
√144 = 12
11 < √134 < 12
Answer: √134 is between 11 and 12.

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The water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters). If

Alecsey [184]

Answer:

The resultant velocity is 12.21 m/s.

Step-by-step explanation:

We are given that the water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters).

Also, v Subscript x is constant at 10.0 m/s.

The water from a fire hose follows a path described by the following equation below;

$y=2.0 + 0.9x-0.10x^{2}$

The velocity of the $x$ component is constant at = $v_x=10.0 \text{ m/s}$

and the point at which resultant velocity has to be calculated is (9.0,2.0).

Let the velocity of x and y component be represented as;

$v_x=\frac{dx}{dt} \text{ and } v_y=\frac{dy}{dt}$

Now, differentiating the above equation with respect to t, we get;

$y=2.0 + 0.9x-0.10x^{2}$

$\frac{dy}{dt} =0 + 0.9\frac{dx}{dt} -(0.10\times 2)\frac{dx}{dt}$

$\frac{dy}{dt} = 0.9\frac{dx}{dt} -0.2\frac{dx}{dt}$

$v_y = 0.9v_x -0.2v_x$

$v_y = 0.7v_x$

Now, putting $v_x=10.0 \text{ m/s}$ in the above equation;

$v_y = 0.7 \times 10.0$ = 7 m/s

Now, the resultant velocity is given by = $v=\sqrt{v_x^{2}+v_y^{2} }$

$v=\sqrt{10^{2}+7^{2} }$

= $\sqrt{149}$ = 12.21 m/s

5 0

3 years ago

Dina has several small clay pots. She wants to display them in order of height, from shortest to tallest. What will be the order

Afina-wow [57]

Answer:

1. (2.5 2. ( 8 3. (2 1/3 4.(5

Step-by-step explanation:

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3 years ago

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One of the diagonals of a parallelogram is its altitude. What is the length of this altitude, if its perimeter is 50cm, and the

Digiron [165]

A
   ]
   |
   |_________________
   D    | B
|
|
   C

Let ABCD be this parallelogram
AB + BC + CD + DA = 50, but AD = BC and AB = DC, Then:
2.AD + 2.AB = 50 and :
AD+AB = 25 . We also know that AB+1 = AD (Given), then:
AD + (AD+1) = 25
2.AD = 24
AD = 12, THEN AB = 12+1=13
Calculate DB the diagonal perpendicular to AD, using Pythagoras:

AD² + DB² = AB²
12² +DB² = 13²
DB² = 13² - 12² = 25
AND DB= 5

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3 years ago

Find the area of a square

Phoenix [80]

Answer:

Step-by-step explanation:

area =l^2

=7^2

=49 km^2

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3 years ago

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The population of a school and is increasing at a rate of 2%per year;6yearsPLEASE HElp <br> Thanks

Shkiper50 [21]

Answer:

It can be modeled with the equation $A=P(1.02)^6$ but needs a starting population number to finish.

Step-by-step explanation:

To find the population in a future year, use the formula:

$A = P (1+/-r)^t$

where A is the amount, p is the starting population, r is 2% or 0.02, and t is the number of years.

Since the population is increasing it is addition. Substitute r=0.02 and t=6. Without a starting population, we cannot find the population in 6 years.

$A = P (1+r)^t\\A=P(1+0.02)^6\\A=P(1.02)^6$

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4 years ago