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2 years ago

I do not understand this problem

Mathematics

1 answer:

Vesnalui [34]2 years ago

4 0

Answer:

16c² + 32cd + 16d²

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients. For example, $4x^3+3x^2+6x-4$ is an example of a cubic polynomial.

Area of a square = side length x side length

Therefore, given the side length of this square is 4c + 4d, then the area can be expressed as:

area = (4c + 4d) x (4c x 4d) = (4c + 4d)²

If we expand the brackets we get:

area = 16c² + 32cd + 16d²

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96+13= 13 +____.what is the property used

mihalych1998 [28]

Commutative property of addition

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3 years ago

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Kruka [31]

This question is incomplete.

Complete Question

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answer:

280 tons of wood.

Step-by-step explanation:

From the above question:

To make 1 ship = we require 40 tons of wood.

1 ship = can accommodate 300 sailors.

Step 1

If :

300 sailors = 1 ship

2100 sailors = y ships

Cross Multiply

300 × y ships = 1 ship × 2100 sailors

y ships = 2100 / 300

y ships = 7

Hence, 2100 sailors can occupy 7 ships.

Step 2

We are told in the question that:

Astrid wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

If:

1 ship = 40 tons of wood

Since 7 ships can accommodate 2100 sailors,

7 ships =

7 × 40 tons of wood = 280 tons of wood.

Therefore , Astrid needs 280 tons of wood to accommodate 2100 sailors.

6 0

3 years ago

Work out the area of this triangle. I will mark you as brainliest, please help quick.

nataly862011 [7]

Answer:

22 cm²

Step-by-step explanation:

Work out the area of this triangle.

Area Formula: 1/2b * h where b = base (11cm) and h = height (4 cm)

1/2 *11 * 4 =

5.5 * 4 =

22 cm²

3 0

2 years ago

A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h cross wind blowing due eas

Ksju [112]

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

$v_{y}$ be the speed in North direction

So,

vₓ = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and $v_{y}$ = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + ( $v_{y}$ )²

= √(21.76)² + (16.18)²

= √473.498 + 261.792

= √735.29 = 27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = $tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) = tan^{-1}(0.74) = 36.5$

⇒ Direction = 36.5° in NE(north of east)

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2 years ago

Garth estimated the height of the door to his classroom in meters .What is a reasonable estimate?

Paraphin [41]

The most reasonable answer would be 2 meters since two meters equals about 6 feet.

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3 years ago

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