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3 years ago

Please help me! and explanation on how you got it please

Mathematics

1 answer:

Igoryamba3 years ago

5 0

Answer:

Step-by-step explanation:

This is a right angled triangles and the summation of the other two angles must equal 90°

OR you can also say that the summation of all the angles in a ∆ must give us 180°

Therefore (2x+14) + (4x-26) = 90°

Expanding... By collecting all like terms, we have

2x+4x+14-26-90 = 0

6x - 102° = 0

Therefore, 6x = 102

x = 102/6

x = 17°

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3 years ago

What is the simplified form of 1/x^2 divided by 3/x^3

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1/x^2 / 3/x^3
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3 years ago

A standard deck of 52 cards theses cards are divided into four 13-suits: hearts, clubs, spades, and diamonds find the possibilit

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3 years ago

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answer

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3 years ago

Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, <u>otherwise</u> if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow:

$w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}$

Now that we have our constant we can find the new $t$ value for the second value of $w=5$ as follow:

$w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\$

Therefore based on the options give, we can see that Option B. is correct since

$t=\frac{5}{3w}$ and for $w=5$ , then $t=\frac{1}{3}$

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2 years ago