All categories

3 years ago

What is the volume of a cubic crystal with one face that has an area of 9 cm²?

Mathematics

1 answer:

Ulleksa [173]3 years ago

4 0

Answer:

The volume is 27 cubic cm.

Step-by-step explanation:

You might be interested in

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

How many solutions does this<br> graph have?

OlgaM077 [116]

Answer:10

Step-by-step explanation:

4 0

3 years ago

On a cold February morning, the radiator fluid in Stanley’s car is -18 degrees When the engine is running, the temperature goes

Rasek [7]

Remark

This is an arithmetic progression. You have the first and last terms and the difference.

Givens

a = - 18

L = 60

d = 4.5

Equation

L = a + (n - 1)d

Solve

60 = -18 + (n - 1) * 4.5 Add 18 to both side

60 + 18 = (n - 1) * 4.5

78 = (n - 1) * 4.5 Divide both sides by 4.5

78/4.5 = n - 1

17.3333 = n - 1 Add 1 to both sides.

18.3333 = n

Conclusion

It will that 18 1/3 or 18.33333 minutes to get the from -18 to 60 degrees.

3 0

3 years ago

Help me plss.. I already give the picture...

Studentka2010 [4]

Answer:

Step-by-step explanation:

7 0

2 years ago

Noa was paid a 25 percent commission for selling a used car.

BigorU [14]

25 percent of x is equal to $1631.24
.25*4 is equal to 100 percent
Substitute
1631.24*4=x
x=6524.96

8 0

3 years ago

What is the volume of a cubic crystal with one face that has an area of 9 cm²?​

What is the volume of a cubic crystal with one face that has an area of 9 cm²?