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3 years ago

Can someone help me out with this question please :)

Mathematics

1 answer:

Stels [109]3 years ago

3 0

Answer:

4.14

Step-by-step explanation:

I think it's 4.14 becuase the bottom is half the line

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9.12cm 10.36cm 11.34cm 12.61cm

Vinvika [58]

Tan80 = QR / RS
QR = 5.67 (2)
QR = 11.34

answer

11.34cm

8 0

2 years ago

In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each

PilotLPTM [1.2K]

I think the answer is 56.81 seconds, the best time would just be the shortest time

7 0

2 years ago

Read 2 more answers

Which of the following expressions is/are equivalent to 16x + 8-2?

sasho [114]

B. 24x2 is the correct answer

8 0

2 years ago

How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%

blondinia [14]

The trick is to exploit the difference of squares formula,

$a^2-b^2=(a-b)(a+b)$

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

$(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2$

Whatever you do to the denominator, you have to do to the numerator too. So

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2$

Expand the numerator:

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}$

So we have

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2$

But √12 = √(3•4) = 2√3, so

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}$

7 0

2 years ago

Jennifer, Kate, and Lucy line up in random order for basketball practice. What is the probability that the girls will line up fr

GarryVolchara [31]

Answer:

1/6, because there is only one way it's possible and there are 6 outcomes.

Step-by-step explanation:

7 0

2 years ago