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3 years ago

Which of the following is true about the expression 7 + √3?

Mathematics

2 answers:

blagie [28]3 years ago

7 0

A. sum of rational and irrational and it ends up being rational

timurjin [86]3 years ago

5 0

Answer:

B. It represents the sum of a rational and irrational number and is equivalent to an irrational number.

Step-by-step explanation:

Since 7 is a rational number and √3 is an irrational number.

Also Sum of rational number and irrational number is always a irrational number.

Thus, Option (B) is only correct answer.

<em>Further, The number which is in the form of $\frac{p}{q}$ , where q≠0 is known as Rational Number. Also, here p & q are integers. </em>

<em>The number which is non-terminating and non-repeating decimal expansion is known as Irrational number. All real numbers except the rational number is an Irrational number. </em>

<em>Also we can not write an irrational number in a simple fraction. </em>

<em>Example: √2, 6.4589845,π,...., etc.</em>

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At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa

Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0

3 years ago

Solve each of the following for the indicated variable.a. 9 − 6 = 54 for yb. = 2 + 2 for l

marta [7]

Answer:

$\begin{gathered} y=\frac{9}{6}x-9 \\ l=\frac{P}{2}-w \end{gathered}$

Step-by-step explanation:

To solve the following equations, we need to isolate the variable asked using inverse operations to solve equations.

Remember that addition and subtraction are inverse operations, as multiplication and division.

Therefore,

$\begin{gathered} a\text{. Solve for y} \\ 6y=9x-54 \\ y=\frac{9}{6}x-\frac{54}{6} \\ y=\frac{9}{6}x-9 \end{gathered}$ $\begin{gathered} b\text{. Solve for l} \\ P=2l+2w \\ 2l=P-2w \\ l=\frac{P}{2}-\frac{2}{2}w \\ l=\frac{P}{2}-w \end{gathered}$

4 0

11 months ago

Two sides of an isosceles triangle measures 26 and 10. What is the possible value of the third side?

spin [16.1K]

The third side of the triangle is 26.

Explanation:

Given:

Two sides of the isosceles triangle are 26 and 10.

To Find:

The possible value of the third side

Solution:

Definition of Isosceles triangle:

An isosceles triangle is a triangle with (at least) two equal sides. Isosceles triangle has both two equal sides and two equal angles.

We also know the property of the triangle that

Sum of two sides of triangle > third side of the triangle

Case1. When third side is 10

Thee third side can’t be equal to 10 because it does not follow the rule of triangle

10+10>26………which is not possible

So the third side of the isosceles triangle is 26.

7 0

3 years ago

What can the reader study to most directly determine the theme of a poem?

harina [27]

The answer will be C. Theme basically means the message of a story.

6 0

3 years ago

Read 2 more answers

Honestly, I'm trying my best to solve this but my Math XL is being so rude.

Valentin [98]

<h3>Answer: 19</h3>

==============================================================

Explanation:

T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.

Set them equal to each other and solve for x.

PT = TQ

3x+7 = 7x-9

3x-7x = -9-7

-4x = -16

x = -16/(-4)

x = 4

So,

PT = 3x+7 = 3*4+7 = 19

TQ = 7x-9 = 7*4-9 = 19

Both PT and TQ are 19 units long to help confirm the answer.

5 0

2 years ago

Read 2 more answers