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3 years ago

What the measurements Of m

Mathematics

1 answer:

Yuki888 [10]3 years ago

4 0

Answer:

Give me a second

Step-by-step explanation:

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Pleeeeeassseee heelp meeeeeeeeeeeeeeeeeeee

Alisiya [41]

Answer:

$\boxed{Length \: of \: each \: side \: of \: cube = 5.2 \: mm}$

Given:

Volume of cube = 140.608 cubic millimetres

Step-by-step explanation:

Let the length of each side of cube = a

$= > Volume \: of \: cube = {a}^{3} \\ \\ = > 140.608 = {a}^{3} \\ \\ = > {a}^{3} = 140.608 \\ \\ = > {a}^{ \cancel{3}} = {5.2}^{ \cancel{3}} \\ \\ = > a = 5.2$

Therefore length of each side of cube = 5.2 mm

4 0

3 years ago

Out of 20 students surveyed, 10 are 7th Graders, 6 are 8th Graders. What percent of the students surveyed are 6th Graders

Elis [28]

Answer:

20%

Step-by-step explanation:

6 0

3 years ago

Julie has a large red apple in her hand that is 4 ft off the ground. A blue bird sees the apple at an

Dafna1 [17]

Answer:

Step-by-step explanation:

so from the silly drawing, you can see that the triangle is 4 feet off the ground, and that we want to find the Opp side from our angle of 15 °

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use TOA to find the Opp side of the triangle .. which is labeled X

Tan(15) = X / 15

15* Tan(15) = X

4.019 = X

so the bird is up 4 feet in the tree.. not very high up, plus the 4 feet that the apple is already off the ground, soo

the tree... to where the bird is, at least, is 8.019 feet..

did this make sense? :/

hope the drawing helped :P

6 0

3 years ago

Solve by quadratic equation

Ymorist [56]

<h2>Question :</h2>

$\tt \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}$

<h2>Answer :</h2>

$\large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}$

<h2>Explanation :</h2>

$\tt : \implies \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}$

$\tt : \implies \dfrac{(x+2)(x+2) + (x-2)(x-2)}{(x-2)(x+2)} = \dfrac{5}{6}$

$\tt : \implies \dfrac{(x+2)^{2} + (x-2)^{2}}{(x-2)(x+2)} = \dfrac{5}{6}$

<u>Now, we know that</u> :

$\large \underline{\boxed{\bf{(a+b)^{2} = a^{2} + b^{2}+ 2ab}}}$
$\large \underline{\boxed{\bf{(a-b)^{2} = a^{2} + b^{2} - 2ab}}}$
$\large \underline{\boxed{\bf{(a+b)(a-b) = a^{2} - b^{2}}}}$

$\tt : \implies \dfrac{x^{2}+2^{2}+ 2 \times x \times 2 + x^{2}+2^{2} - 2 \times x \times 2 }{x^{2}-2^{2}} = \dfrac{5}{6}$

$\tt : \implies \dfrac{x^{2}+ 4 + \cancel{4x} + x^{2}+ 4 - \cancel{4x}}{x^{2}-4} = \dfrac{5}{6}$

$\tt : \implies \dfrac{x^{2} + x^{2} + 4 + 4}{x^{2}-4} = \dfrac{5}{6}$

$\tt : \implies \dfrac{2x^{2} + 8}{x^{2}-4} = \dfrac{5}{6}$

<u>By cross multiply</u> :

$\tt : \implies (2x^{2} + 8)6= 5(x^{2}-4)$

$\tt : \implies 12x^{2} + 48 = 5x^{2}-20$

$\tt : \implies 12x^{2} + 48 - 5x^{2} + 20 = 0$

$\tt : \implies 7x^{2} + 68 = 0$

$\tt : \implies 7x^{2} + 0x + 68 = 0$

<u>Now, by comparing with ax² + bx + c = 0, we have</u> :

a = 7
b = 0
c = 68

<u>By using quadratic formula</u> :

$\large \underline{\boxed{\bf{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}}}$

$\tt : \implies x = \dfrac{-(0) \pm \sqrt{(0)^{2} - 4(7)(68)}}{2(7)}$

$\tt : \implies x = \dfrac{0 \pm \sqrt{0 - 1904}}{14}$

$\tt : \implies x = \dfrac{\pm \sqrt{- 1904}}{14}$

$\tt : \implies x = \dfrac{\pm \sqrt{2\times 2\times 2\times 2\times 7\times 17}}{14}$

$\tt : \implies x = \dfrac{\pm \cancel{2} \times 2\sqrt{7\times 17}}{\cancel{14}}$

$\tt : \implies x = \dfrac{\pm2\sqrt{119}}{7}$

$\large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}$

Hence value of $\bf x =\dfrac{\pm 2\sqrt{119}}{7}$

5 0

3 years ago

Read 2 more answers

There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte fla

evablogger [386]

Answer:

1000 times greater

Step-by-step explanation:

1 gigabyte = 1000000000 bytes

1 mega byte = 1000000 bytes

Therefore;

1 gigabyte = 1000 megabyte

Thus;

The storage capacity of 1 gigabyte is 1000 times greater than a flash drive with a capacity of 1 megabyte

4 0

3 years ago

Read 2 more answers