Mathematics: Question 30 find the length of the long leg. leave answer in simplest radical form. plz

leftover cards:Step-by-step explanation:There are total 6 cardsthe numbers on the cards follow a pattern4 cards were taken out, and they are:we can covert these directly into decimal forms (remember = 0.25 and = 0.5)we can now easily arrange them from least to greatesta pattern is still not coming out, but we needed to arrange them in order to understand the patternwe can convert these into just fractionsAnd a pattern is indeed emerging here:the denominators change alternatively between 2 and 4,...

Question 30 find the length of the long leg. leave

Ответ:

elposhoo5067

10.03.2022

Mathematics

Step-by-step explanation:

Since the triangle is right we can use the sine ratio to find TI along with

the exact value of sin60° = $\frac{\sqrt{3} }{2}$

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{TI}{TR}$ = $\frac{TI}{14}$

Multiply both sides by 14

TI = 14 × sin60° = 14 × $\frac{\sqrt{3} }{2}$ = 7 $\sqrt{3}$

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Ответ:

aliami0306oyaj0n

28.05.2023

Mathematics

leftover cards:

$2\dfrac{1}{2}, 3\dfrac{1}{4}$

Step-by-step explanation:

There are total 6 cardsthe numbers on the cards follow a pattern4 cards were taken out, and they are:

$\dfrac{1}{2}, 6\dfrac{1}{2}, 1\dfrac{1}{4}, \dfrac{1}{4}$

we can covert these directly into decimal forms (remember $\frac{1}{4}$ = 0.25 and $\frac{1}{2}$ = 0.5)

0.5, 6.5, 1.25, 0.25

we can now easily arrange them from least to greatest

0.25, 0.5, 1.25, 6.5

a pattern is still not coming out, but we needed to arrange them in order to understand the pattern

we can convert these into just fractions

$\dfrac{1}{4}, \dfrac{1}{2}, \dfrac{5}{4}, \dfrac{13}{2}$

And a pattern is indeed emerging here:

the denominators change alternatively between 2 and 4, and the numerator stays the same during this change. (see the first two fractions in the series)

originally all the six cards when aligned in ascending order should look like

$\dfrac{1}{4}, \dfrac{1}{2}, \dfrac{5}{4}, \dfrac{5}{2}, \dfrac{13}{4}, \dfrac{13}{2}$