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2 years ago

What type of number is 6√14 + √14?

Mathematics

1 answer:

sveta [45]2 years ago

6 0

Answer:

Rational

Step-by-step explanation:

Quick Easy Eliminations:

We can get rid of positive integer as the sum of these roots is a decimal which is not a whole number. Hence, we can eliminate 2 options, C. Positive integer and D. Whole Number.

First solve:

6√14 + √14

= 7√14 (Decimal form: 26.191602)

What we need is the decimal form in order to determine if it's rational or irrational.

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Rational

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The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet

nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

$f(x)=3(x-2)+4$

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval $[a,b]$ is given as :

$\frac{f(b)-f(a)}{b-a}$

For the given function we need to find the average rate of change between 2nd year and 6th year. $[2,6]$

So, we have:

$f(2)=3(2-2)+4=3(0)+4=4$

$f(6)=3(6-2)+4=3(4)+4=12+4=16$

Thus, average rate of change will be:

$\frac{f(6)-f(2)}{6-2}$

⇒ $\frac{16-4}{6-2}$

⇒ $\frac{12}{4}$

⇒ $3$

Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches

8 0

3 years ago

PETS Each month Travis spends $20 for premium food$10 for treats $18 for grooming, and $3 for toys for his pet. Write an express

jok3333 [9.3K]

Answer:

$492 per year

Step-by-step explanation:

The first step we take towards solving this question is to add all the numbers we were given as money spent(excluding that of the month)

$20 + $10 + $18 + $3 = $41 per month

This means that a total of $41 was spent per month.

Going further, since we're told it's 12 months, we then multiply it by 12, and thus, we have

$41 * 12 = $492 per year

Therefore, the total money spent is $492 per 12 months, or per year

5 0

3 years ago

Prove that:<br><br>cos20°cos40°cos80°=1/8

Naya [18.7K]

Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= $\frac{1}{2sin20}$ (2sin20°cos20°)cos40°cos80°

= $\frac{1}{4sin20}$ (2sin40°cos40°)cos80°

= $\frac{1}{4sin20}$ (sin80°cos80° )

= $\frac{1}{8sin20}$ (2sin80°cos80° )

= $\frac{1}{8sin20}$ . sin160°

= $\frac{1}{8sin20}$ . sin(180 - 20)°

= $\frac{1}{8sin20}$ . sin20°

= $\frac{1}{8}$ = right side , thus proven

7 0

2 years ago

Read 2 more answers

A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

$\sin\theta=\dfrac{h}{H}$

h is perpendicular and H is hypotenuse

So,

$\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}$

Now using Pythagoras theoerm,

$b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft$

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0

3 years ago

Please can you answer question b

alexira [117]

198 + (199*3) + (200*2) +(201*5) + (202*2) = 2604

frequency = 1 + 3 +2 + 5 + 2 = 13

201 = (2604 + x )/14
multiply both sides by 14
x = 201*14 = 2604 +x

x = 2814 = 2604 +x

subtract 2604 from both sides:

x = 2814 - 2604
x = 210 cm

height of new player = 210 cm

3 0

3 years ago