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4 years ago

Find the hypotenuse of a 45-45-90 triangle with legs equal to 7

Mathematics

2 answers:

madam [21]4 years ago

5 0

Answer:

Square root of 98

Step-by-step explanation:

bija089 [108]4 years ago

5 0

Answer:

9.9

Step-by-step explanation:

We know each leg is 7 and the square of both of these will equal the square of the hypotenuse:

$7^2=49\\49\times2=98\\\sqrt[2]{98}=9.9$

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79/9 as a mixed fraction

gavmur [86]

Easy!
Since the greatest multiple of 9 lesser than 79 is 72, you get a remainder of 7
8 7/9

6 0

3 years ago

Which logarithmic equation is equivalent to 2^5=32?

kolbaska11 [484]

Answer: $5=log_{2}(32)$

Step-by-step explanation:

1. By definition, you have if $y=b^{x}$ , then $x=log_{b}(y)$

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

$2^{5}=32$

Where:

$x=5\\y=32\\b=2$

- Substitute values into $x=log_{b}(y)$ . Then, you obtain:

$5=log_{2}(32)$

6 0

3 years ago

Read 2 more answers

At a book sale,your sister uses an equal number of quarters and nickels to buy a $1.20 book. How many quarters and how many nick

REY [17]

Answer:4 quarters and 4 nickels

Step-by-step explanation:

6 0

3 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

4 years ago

Write 8256 correct to 3 significant figures.

konstantin123 [22]

Answer:

8260 line over 6

Step-by-step explanation:

4 0

3 years ago