100 POINTS AND BRAINLIEST!! PRE CALC!

What is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?

-Dominant- [34]

Answer:

240

Step-by-step explanation:

12 times 2 is 24

24 times 10 is 240

Have a nice day

6 0

2 years ago

Read 2 more answers

Is 3x+5 congruent to 5x-1

Licemer1 [7]

Yes it is congruent to5x-1

7 0

3 years ago

Give triangle TRY, find TY. Round your answer to the nearest hundredth.

3241004551 [841]

The length of TY is 2.26.

Solution:

In ΔTRY, θ = 37°, Adjacent side = 3.

To find the length of TY.

Using trigonometry identity,

$$\tan\theta=\frac{{opposite}}{{Adjacent}}$

$$\tan37^\circ=\frac{{TY}}{3}$

$$3\tan37^\circ=TY$

$$3\times 0.75355=TY$

$$TY=2.26065$

TY = 2.26

Hence the length of TY is 2.26.

8 0

3 years ago

What is the greatest common factor of 63b^2c^4 and 42b^3c^2

Arte-miy333 [17]

Factor out the GCF of

21

b

2

c

2

from

63

b

2

c

4

+

42

b

3

c

2

.

Tap for fewer steps...

Factor out the GCF of

21

b

2

c

2

from each term in the polynomial.

Tap for fewer steps...

Factor out the GCF of

21

b

2

c

2

from the expression

63

b

2

c

4

.

21

b

2

c

2

(

3

c

2

)

+

42

b

3

c

2

Factor out the GCF of

21

b

2

c

2

from the expression

42

b

3

c

2

.

21

b

2

c

2

(

3

c

2

)

+

21

b

2

c

2

(

2

b

)

Since all the terms share a common factor of

21

b

2

c

2

, it can be factored out of each term.

21

b

2

c

2

(

3

c

2

+

2

b

)

The greatest common factor

GCF

is the term in front of the factored expression.

21

b

2

c

2

6 0

3 years ago

Read 2 more answers

Approximate pi plus the square root of 70 to the nearest hundredth.

stich3 [128]

Answer:

11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

π + √70 ≈ 11.51

__

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

√n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

r' = a +b/(a +r)

For √70, we have 70 = 8² +6 ⇒ a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131

This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

3.1416 +8.3664 = 11.5080 ≈ 11.51

5 0

2 years ago