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3 years ago

Find the average of 1/2, 1/3, 1/4

Mathematics

1 answer:

Luba_88 [7]3 years ago

6 0

Answer:

13/36

Step-by-step explanation:

(1/2+1/3+1/4)/3=(6/12+4/12+3/12)/3=2/12+4/36+3/36=6/36+4/36+3/36=(6+4+3)/36=13/36

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If 3 is raised to the fourth power, what is the exponent?

devlian [24]

Answer: 81

Step-by-step explanation: you would multiply by 3 till your answer is 81

7 0

4 years ago

The force on an area 16 m by 12 m is 24,000 N. What is the pressure per square meter?

Dmitrij [34]

Recall that
Pressure = Force ÷ Area

In this context we have,
Pressure = 24,000 ÷ (16 × 12)
= 24,000 ÷ 192
= 125 Pa

6 0

4 years ago

Read 2 more answers

Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your wo

vazorg [7]

Answer:

Therefore,

$x=y= 4\sqrt{2}=5.6568\ units$

Step-by-step explanation:

Given:

Consider In Right Angle Triangle ABC

∠B = 90°

∠C = ∠A = 45°

AB = y

BC = x = adjacent side

AC = 8 = hypotenuse

To Find:

x = ?

y = ?

Solution:

In Right Angle Triangle ABC by Cosine Identity we have

$\cos C = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\$

substituting the above given values we get

$\cos 45 = \dfrac{BC}{AC}=\dfrac{x}{8}$

$\dfrac{1}{\sqrt{2} } =\dfrac{x}{8}\\\therefore x=\dfrac{8}{\sqrt{2} } \\Rationalizing\ we\ get\\\therefore x=\dfrac{8}{\sqrt{2}}\times \dfrac{\sqrt{2} }{\sqrt{2}}}\\\therefore x=4\sqrt{2}=4\times 1.4142=5.6568\ units$

As The triangle is 45 - 45 - 90

It is an Isosceles Right triangle

$x=y$ ..... Isosceles Triangle property

$\therefore y=4\sqrt{2}=4\times 1.4142=5.6568\ units$

Therefore,

$x=y= 4\sqrt{2}=5.6568\ units$

8 0

3 years ago

The difference between ten times a number and eight times the number is negative ten

IRINA_888 [86]

10n - 8n = -10

Hope this helps!

6 0

3 years ago

Read 2 more answers

A game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. W

kirill [66]

Answer:

24 by 15 units

Step-by-step explanation:

This is one of those portions problems.

For this problem, I would keep in mind that 120 and 75 are measured in FEET.

1 unit on the paper is 5 feet

All you would have to do it divide 120/5 which is 24 and 75/5 which is 15.

Sooo the dimensions of the drawing are 24 units (NOT FEET, just units) by 15 units.

8 0

3 years ago