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kondor19780726 [428]
3 years ago
11

A resort hotel has 220 guests. On one​ day, 5 groups of 16 guests leave to shop and groups of 9 guests go sightseeing. Evaluate

220 - (5x16) -(2x9) to find the number of guests that are left at the hotel.
Mathematics
1 answer:
8090 [49]3 years ago
8 0
220-(2x12)-(5x6)
220-24-30
196-30
166 people are left on the ship.
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Simplify the expression to a + bi form:<br> (1 – 6i) + (12 + i)
Alenkasestr [34]

\\ \sf\longmapsto (1-6i)+(12+i)

\\ \sf\longmapsto 1-6i+12+i

\\ \sf\longmapsto 1+12-6i+i

\\ \sf\longmapsto 13-5i

4 0
2 years ago
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A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed
madreJ [45]
Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³ 
4 0
2 years ago
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I need the answer asap 20 points
Mekhanik [1.2K]

Answer:

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5 0
3 years ago
10 people who build at the same rate can frame a house in 6 days. What fractional part of a house can 4 people frame a house in
Alina [70]

10 people who build at the same rate can frame a house in 6 days. That means it will take one person 10\times6=60 days to finish the house.

Which means that it will take 4 people \frac{60}{4}=15 days to finish the house.

So, the fractional part of the house 4 people can frame in 3 days will be \frac{3}{15}=\frac{1}{5}

Thus, Option D is the correct answer.

8 0
3 years ago
ANYONE??
RideAnS [48]
Volume of a quadrangular pyramid=(1/3)bh
b=base
h=height

b=area of the base=area of a square=8.4 ft * 8.4 ft=70.56 ft²

Pythagoras theorem:
hypotenuse²=leg₁² + leg₂²

data:
hypotenuse=9.6 ft
leg₁=height=h
leg₂=8.4 ft /2=4.2 ft

(9.6 ft)²= h² + (4.2 ft)²
92.16 ft²=h²+17.64 ft²
h²=92.16 ft²-17.64 ft²
h²=74.52 ft²
h=√(74.52 ft²)=8.63 ft.

Volume of this quadrangular pyramid=(1/3)(70.56 ft²)(8.63 ft)=202.9 ft³≈202.3 ft³

Answer: ≈202.3 ft³
5 0
3 years ago
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