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3 years ago

Are 1/2 equivalent to 4/8

Mathematics

2 answers:

Lerok [7]3 years ago

6 0

Yes, 1/2 is equivalent to 4/8, because 4/8 reduced to simplest form is 1/2.

Lilit [14]3 years ago

4 0

Yes, because 1 X 4 is 4 and 2 X 4 is 8

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Show with work please.

kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that $\text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

$-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)$

$-\text{cos} \left(\theta\right)$

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

$\text{sec}(-\theta)=\text{sec}(\theta)$

And, $\text{sec}(\theta)=-0.73$

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0

3 years ago

Find tan if sin theta= 1/4 and falls in Quadrant 2.

7nadin3 [17]

If sinα=1/4 and it is in q2 it means that the x coordinate is negative.

The triangle has a height of one and a hypotenuse of 4 so:

x=-√(4^2-1)

x=-√15

so tanα=-1/√15

tanα=-√(1/15)

tanα≈ -0.258

6 0

3 years ago

Read 2 more answers

Round 1.965 to the nearest tenth.

riadik2000 [5.3K]

Answer: 2

Step-by-step explanation:

5 0

3 years ago

PLEASE ANSWER ASAP> WILL MARK BRAINLIEST!!!!!

tekilochka [14]

Answer:

exterior because it's an obtuse triangle.

Step-by-step explanation:

7 0

3 years ago

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When Anita planted a large bush in her garden, it was 5 feet tall. Now it is 40% taller. How tall is the bush now?

goblinko [34]

Answer:

7 feet

Step-by-step explanation:

the new height of the bush can be represented in percentage form as 100% + 40% = 140% = 1.40

1.40 x 5 = 7 feet

Method 2

find 40% of 5 feet

0.4 x 5 = 2

Add 5 + 2 = 7 feet

7 0

3 years ago