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4 years ago

Please help answer these questions. My teacher said they were really easy but I just don't understand. Will mark brainliest !!!

Mathematics

1 answer:

kodGreya [7K]4 years ago

6 0

Answer:

1. A = 59

2. A = 43

Step-by-step explanation:

If we have a right triangle we can use sin, cos and tan.

sin = opp/ hypotenuse

cos= adjacent/ hypotenuse

tan = opposite/ adjacent

For the first problem, we know the opposite and adjacent sides to angle A

tan A = opposite/ adjacent

tan A = 8.8 / 5.2

Take the inverse of each side

tan ^-1 tan A = tan ^-1 (8.8/5.2)

A = 59.42077313

To the nearest degree

A = 59 degrees

For the second problem, we know the adjacent side and the hypotenuse to angle A

cos A = adjacent/hypotenuse

cos A = 15.3/21

Take the inverse of each side

cos ^-1 cos A = cos ^-1 (15.3/21)

A = 43.23323481

To the nearest degree

A = 43 degrees

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What is the value of (-7 +31) - (2-61)?

forsale [732]

Answer: 83

Step-by-step explanation:

(-7+31) - (2-61)

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3 years ago

What is the value of the expression –7 – 5 + 4?

vichka [17]

By solving this problem, I got D.-8.Right?

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4 years ago

What are the answer

TiliK225 [7]

Answer:

1)556.11 cm²

2)164.05 cm²

3)117.70 cm²

Step-by-step explanation:

1) We have a cylinder and a cone on top of it.

Formula for total surface area of cylinder is;

T.S.A = 2πrh + 2πr²

However, the top is not available for calculation here. Thus, we will use;

TSA = 2πrh + πr²

Thus;

TSA = 2π(5 × 12) + π(5)²

TSA = 455.53 cm²

The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL

L is the slanting height and can be calculated from pythagoras theorem ;

L = √(5² + 4²)

L = √41

Thus;

LSA = π × 5 × √41 = 100.58 cm²

Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²

2) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)

TSA = 125 cm²

For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl

Where P is perimeter of base and L is slant height.

P = 5 × 4 = 20 cm

Radius is 5/2 = 2.5 and so using pythagoras theorem;

L = √(2.5² + 3²)

L = 3.905 cm

Thus;

LSA = ½ × 20 × 3.905 = 39.05 cm²

Overall surface area = 39.05 + 125 = 164.05 cm²

C) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)

TSA = 80 cm²

For the half cylinder on top;

Surface area ;

T.S.A = 2πrh + 2πr²

Since half cylinder;

TSA = πrh + πr²

TSA = π((2 × 4) + 2²))

TSA = 37.7 cm²

Overall total surface area = 80 + 37.7 ( 117.70 cm²

3 0

3 years ago

What past paper is this, can you please put a link to the question paper that this question came from :

neonofarm [45]

Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:

$D = \frac{3}{17}n$

$H = \frac{9}{17}n$

The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.

$196 = \frac{9}{17}n$

$n = \frac{196 \times 17}{9}$

n = 370.22.

Hence, the amount received by Danil is given by:

$D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33$

More can be learned about proportions at brainly.com/question/24372153

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