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3 years ago

A piece of wood is cut into 3 pieces in the ratio 5:4:3 if the length of the shortest piece is 2 how long is the wood

Mathematics

1 answer:

Bad White [126]3 years ago

8 0

Answer:

Step-by-step explanation:

5:4:3 = x:y:2

4:3 = y:2 Cross multiply

3y = 8 Divide by 3

y = 8/3 = 2.66'

5/x = 3/2

3x = 10 Divide by 3

x = 10/3

x = 3.33

Length of the wood = 2.66 + 3.33 + 2

Length of the wood = 8 feet

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how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches

Alona [7]

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

8 0

3 years ago

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

A $525 speaker now sells for $393.75. Find the percent of change.

antiseptic1488 [7]

Answer: 25%

Step-by-step explanation:

595 - 393.75 = 131.25

131.25 (amount of change)/ 525 (original amount) x 100%

= 25%

8 0

3 years ago

One of the legs of a right triangle measures 2 cm and its hypotenuse measures 18 cm.

denpristay [2]

Answer:

17.9

Step-by-step explanation:

4 0

2 years ago

Please add explanation

Igoryamba

The answer is C

The equation has x = 8/10

To get X by itself you need to divide both sides by 8, so the equation should become X = 10/8

5 0

3 years ago