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3 years ago

Find the missing length of the right triangle: a=6,b=8, c=?

1 answer:

8 0

Use a calculator. 6 square root of 2 and 8 square root of 2. Times both of them and turns to 2304. Then 2304 square root of 2 again

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Rational root theorem <br><br><br> f(x) = 2x4 – 9x2 +7

IRISSAK [1]

Answer: ±1,±1/2,±7,±7/2

Step-by-step explanation:

Hope this helps!

8 0

2 years ago

Difference in fraction <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20-%201%20%5Cfrac%7B1%7D%7B5%7D%20" id=

jolli1 [7]

The denominator is the bottom number of a fraction.

So in the fraction 3/8 the denominator is 8. In the fraction 5/6 the denominator is 6.

just an example not the answer

the answer is -0.7

6 0

2 years ago

Ashton is saving money for a new bike. He needs 120$ But only has saved 60% so far. How much more money does he need to buy the

kherson [118]

Answer:

$48

Step-by-step explanation:

Ashton is saving money for a new bike. He needs 120$ But only has saved 60% so far. How much more money does he need to buy the scooter

Ashton needs money for new bike=120$

savings of ashton is 60 % of his bike cost

hence 60% of 120 dollar will be

His saving=(60/100)*120=7200/100=72$

remaining cost will be obtained by subtracting saved money from total cost

total cost=120 dollar

saved money=72dollar

hence

Remaining more money he needed is =120-72=48$

7 0

2 years ago

Will the difference between 44,041 and 43,876 be greater or less than 1,000? Explain

Inessa05 [86]

Greater than ,because they’re both higher

4 0

2 years ago

Find an exact value.

Westkost [7]

Answer:

$\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}$ .

Step-by-step explanation:

Convert the angle $\displaystyle \left(-\frac{7\, \pi}{12}\right)$ to degrees:

$\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ$ .

Note, that $\left(-105^\circ\right)$ is the sum of two common angles: $\left(-45^\circ\right)$ and $\left(-60^\circ\right)$ .

$\displaystyle \cos\left(-45^\circ\right) = \cos\left(45^\circ\right) = \frac{\sqrt{2}}{2}$ .
$\displaystyle \cos\left(-60^\circ\right) = \cos\left(60^\circ\right) = \frac{1}{2}$ .

$\displaystyle \sin\left(-45^\circ\right) = -\sin\left(45^\circ\right) = -\frac{\sqrt{2}}{2}$ .
$\displaystyle \sin\left(-60^\circ\right) = -\sin\left(60^\circ\right) = -\frac{\sqrt{3}}{2}$ .

By the sum-angle identity of cosine:

$\cos(A + B) = \cos(A)\cdot \cos(B) - \sin(A) \cdot \sin(B)$ .

Apply the sum formula for cosine to find the exact value of $\cos\left(-105^\circ \right)$ .

$\begin{aligned}\cos\left(-105^\circ \right) &= \cos\left(\left(-45^\circ\right) + \left(-60^\circ\right)\right) \\ &= \cos\left(-45^\circ\right) \cdot \cos\left(-60^\circ\right)\right) - \sin\left(-45^\circ\right) \cdot \sin\left(-60^\circ\right)\right) \\ &= \frac{\sqrt{2}}{2} \times \frac{1}{2} - \left(-\frac{\sqrt{2}}{2}\right)\times \left(-\frac{\sqrt{3}}{2}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}\end{aligned}$ .

$\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ$ . In other words, $\displaystyle \left(-\frac{7\, \pi}{12}\right)$ and $\left(-105^\circ\right)$ correspond to the same angle. Therefore, the cosine of $\displaystyle \left(-\frac{7\, \pi}{12}\right)\!$ would be equal to the cosine of $\left(-105^\circ\right)\!$ .

$\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \cos\left(-105^\circ\right) = \frac{\sqrt{2} - \sqrt{6}}{4}$ .

3 0

2 years ago