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NemiM [27]
1 year ago
14

each face of cabinet 413S is in the shape of a rectangle. What is the volume of Model 413S in cubic feet? Dimension are 24 by 72

by 18. ( in inches )
Mathematics
1 answer:
lbvjy [14]1 year ago
7 0
To calculate a volume of a rectangle prism, a cabinet we only need to multiply the dimensions it has, those are height, width, deep:
v = (24)(72)(18)
v = 31104 in^3
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The angle \theta_1θ
enyata [817]

Answer:

sin\theta_1 = \dfrac{\sqrt{217}}{19}

Step-by-step explanation:

It is given that:

cos\theta_1 = -\dfrac{12}{19}

And we have to find the value of sin\theta_1 = ?

As per trigonometric identities, the relation between sin\theta\ and \ cos\theta can represented as:

sin^2\theta + cos^2\theta = 1

Putting \theta_1 in place of \theta Because we are given

sin^2\theta_1 + cos^2\theta_1 = 1

Putting value of cosine:

cos\theta_1 = -\dfrac{12}{19}

sin^2\theta_1 + (\dfrac{12}{19})^2 = 1\\\Rightarrow sin^2\theta_1 + \dfrac{144}{361} = 1\\\Rightarrow sin^2\theta_1 = 1-\dfrac{144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{217}{361}\\\Rightarrow sin\theta_1 = +\sqrt{\dfrac{217}{361}}, -\sqrt{\dfrac{217}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{\sqrt{217}}{19}, -\dfrac{\sqrt{217}}{19}

It is given that \theta_1 is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.

\Rightarrow sin\theta_1 = \dfrac{\sqrt{217}}{19}

8 0
1 year ago
Kayla is going to Japan for vacation. She will exchange $300 for Japanese yen. The exchange rate is $1=85.74 yen. How many yen w
Nezavi [6.7K]

Answer:

25,722 yen

Step-by-step explanation:

300x85.74 is the simplest way to do this and I am just adding words to compete this

7 0
2 years ago
Read 2 more answers
If a certain number is increased by 5 one half of the result is three-fifths of the excess of 61 over the number find the number
PSYCHO15rus [73]

Answer:

= 391/11

Let say number = N

a certain number is increased by 5

= N + 5

,one-half of the result

= (N + 5)/2

Three -fifths of the excess of 61 over the number.

= (3/5)(61 - N)

Equating both

(N + 5)/2  = (3/5)(61 - N)

multiplying by 10 both sides

=> 5(N + 5) = 6(61 - N)

=> 5N + 25 = 366 - 6N

=> 11N = 391

=> N = 391/11

Step-by-step explanation:

8 0
1 year ago
3/8 divided by -0.25​
madreJ [45]

Answer:

thw answer is -3/2 and in decimal form its -1.5

Step-by-step explanation:

hoped I helped:)

5 0
2 years ago
What is the area of the obtuse triangle given below?
Akimi4 [234]
The area of a triangle is 1/2 the base times the height.
 The base is 15 and the height is 13.

Area = 1/2 x 15 x 13 = 97.5 sq. units.
 The answer is A.


7 0
2 years ago
Read 2 more answers
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