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Likurg_2 [28]
3 years ago
12

What is the volume of the rectangular prism? A prism has a length of 5 centimeters, height of 8 and one-half centimeters, and wi

dth of 3 and three-fourths centimeters. 17 and one-fourth cm3 18 and three-fourths cm3 27 and one-fourth cm3 159 and StartFraction 3 Over 8 EndFraction cm3
Mathematics
2 answers:
Luden [163]3 years ago
8 0

Answer:

d

Step-by-step explanation:

nlexa [21]3 years ago
3 0

Answer:

<em>Option D: 159 3/8 cm^3 </em>

Step-by-step explanation:

1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3

2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ <em>Base * height = length * width * height</em>

3. Substitute and compute the volume through algebra:

5 cm * 8 1/2 cm * 3 3/4 cm =

5 cm * 17/2 cm * 15/4 cm =

85/2 cm^2 * 15/4 cm =

1275/8 cm^3 =

<em>159 3/8 cm^3</em>

4. This means that the<em> Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)</em>

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Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

Answer:    RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=2.15470053838

⇒18=2.15470053838x-x

⇒x=15.5884572681≈15.60

Thus RQ=8.99999999999≈8.99


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GarryVolchara [31]

Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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