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1 year ago

In the following exercises, identify whether each number is rational or irrational.

Mathematics

1 answer:

klasskru [66]1 year ago

7 0

Answer:

(a) √25 rational

(b) √30 irrational

Step-by-step explanation:

Note : only perfect squares have rational roots

25 = 5² then 25 is a perfect square

therefore √25 = 5 is a rational number

30 cannot be written in the form a² where ‘a’ I start a natural number then 30 is not a perfect square

Therefore √30 is irrational.

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The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level, then the pres

seraphim [82]

Answer:

373.8mmHg

Step-by-step explanation:

a =height (in km) above sea level,

the pressure P(a) (in mmHg) is approximated given as

P(a) = 760e–0.13a .

To determine the atmospheric pressure at 5.458 km, then we will input into the equation

P(5.458km) = 760e–0.13a .

= 760e^(-0.13×5.458)

=760e^-(0.70954)

= 760×0.4919

=373.8mmHg

Therefore, the atmospheric pressure at 5.458 km is 373.8mmHg

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2 years ago

Solve.

Eva8 [605]

$2x^2+x-1=2\ \ \ |-2\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\ \ |-3\\2x=-3\ \ \ |:2\\x=-\frac{3}{2}\\\\x-1=0\ \ \ |+1\\x=1$

Answer: C 1, -3/2

4 0

3 years ago

When will a ratio equal a decimal between 0 and 1?

ira [324]

Answer:

Any-where below 1 and above 0

Step-by-step explanation:

I had this problem in math and my teacher told me this

8 0

3 years ago

A recipe of pasta makes enough for eight servings. How many servings can be made using 4/8 of each ingredient in the recipe?

Sedaia [141]

You could only make 4, as that is half of the amount of materials needed to make 8.

4 0

3 years ago

Read 2 more answers

The length and width of a rectangle are measured as 31 cm and 28 cm, respectively, with an error in measurement of at most 0.1 c

MissTica

Answer:

$\Delta A = 5.9\,cm^{2}$

Step-by-step explanation:

The area of an rectangle is given by the following formula:

$A = w\cdot h$

Where:

$w$ - Width, in centimeters.

$h$ - Height, in centimeters.

The differential of the expression is derived hereafter:

$\Delta A = \frac{\partial A}{\partial w} \cdot \Delta w + \frac{\partial A}{\partial h}\cdot \Delta h$

$\Delta A = h \cdot \Delta w + w \cdot \Delta h$

$\Delta A = (31\,cm)\cdot (0.1\,cm) + (28\,cm)\cdot (0.1\,cm)$

$\Delta A = 5.9\,cm^{2}$

5 0

3 years ago