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Margarita [4]
3 years ago
13

What is the volume of a rectangular prism with the base of 15 inches, width of 3 inches, and height of 8 inches

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Answer:

360

Step-by-step explanation:

v = length x width x height

v = 15 x 8 x 3

v = 360

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A flagpole sits on the top of a cliff that is 25 m above sea level. If the angle of elevation from a boat on the water to the to
OLEGan [10]

Answer:

3.2 m

Step-by-step explanation:

Let x be the distance between the cliff and the boat.

Since the cliff is 25 m above sea level and the distance between the boat and the height of the cliff are perpendicular, and the line of sight of the boat to the base of a cliff is 29 , these three form a right-angled triangle with hypotenuse side as the line of sight of the elevation of the boat to the base of the cliff.

So, using trigonometric ratios, tan29° = 25/x

x = 25 m/tan29° = 25 m/0.5543 = 45.1 m

Also, the line of sight of the top of the flagpole, the cliff and the distance between the boat and the cliff form a right-angled triangle with hypotenuse side as the line of sight of the top of the flagpole,

Now, the angle of elevation of the top of the flagpole from the top of the boat is 32°, we now find the angle opposite to x, the distance from the boat to the cliff.  

Since it is a right-angled triangle, thus one angle is 90° and the unknown angle is A.

So, 90° + 32° + A = 180° (sum of angles in a triangle)

122° + A = 180°

A = 180° - 122°

A = 58°

Let y be the length of the flagpole. In this same triangle, using the sine rule, with x being the side opposite A and 25 + y being the side opposite the 32° angle, where 25 + y = height of cliff + length of flagpole, then

x/sinA = (25 + y)/sin32°

25 + y = xsin32°/sinA

y =  xsin32°/sinA - 25

y = 45.1sin32°/sin58° - 25

y = 45.1 × 0.5299/0.8480 - 25

y = 45.1 × 0.6249 - 25

y =28.183 - 25

y = 3.183

y ≅ 3.2 m to one decimal place

6 0
2 years ago
HELP! A TV salesperson makes a 6% commission on each ty they sell. If they sell 1 TV that
prisoha [69]
$37.50. You multiply 6%x625 to get 37.5 which would be $37.50 in money.
7 0
2 years ago
Uncle Henry weights 183.1 pounds and aunt Wanda weights 139.24 pounds how much more does uncle Henry weight than aunt Wanda
sergij07 [2.7K]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Daniels print shop purchased a new printer for $35,000. Each year it depreciates at rate of 5%. How much will the printer be wor
Savatey [412]
Ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed

35000(0.95)^8= 23219.7151

Round to the nearest hundredth value:
About $23219.72

Let me know if you have any questions :)
7 0
3 years ago
The number of necklaces Lilly can make varies directly with the amount of time she spends making the necklaces. She can make 6 n
Fantom [35]

Answer:

75

Step-by-step explanation:

Number of necklace= k × amount of time spent

6= k × 2/5

K = 6÷2/5

K= 6×5/2

K= 15

Therefore the number of necklace made in 5 hours can be calculated as follows

15 = number of necklace ÷ 5

Number of necklace = 15 ×5

Number of necklace = 75

5 0
3 years ago
Read 2 more answers
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