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Sauron [17]
3 years ago
8

Use fundamental identities to write the first expression in terms of the second, for any acute angle θ.

Mathematics
1 answer:
OleMash [197]3 years ago
8 0
Cot(theta) = 1/tan(theta) = cos(theta)/sin(theta) =

cos(theta)/sqrt(1-cos^2(theta))

cot(theta) = cos(theta)/sqrt(1-cos^2(theta))
cot^2(theta)(1-cos^2(theta))=cos^2(theta)
(cot^2(theta)+1)cos^2(theta)=cot^2theta

cot(theta)/sqrt(cot^2(theta)+1)
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The ratio of the measures of the sides of a triangle is 4:9:8. If the perimeter of the triangle is 147 feet, find the measure of
labwork [276]

Answer:

28

Step-by-step explanation:

4x + 9x + 8x = 147

21x = 147

x = 147/21

x = 7

========

The shortest side will be 4x

4*7 = 28

7 0
3 years ago
43.
aleksklad [387]

Answer:

4.12 kg

Step-by-step explanation:

Regular cakes:

1 dozen normal sponge cakes: 264 g plain flour

Vegetarian cakes:

1 dozen cakes: 264 g plain flour

4 eggs are replaced by 4 * 30 g of flour = 120 g flour

total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g

Proportion for regular cakes:

12 cakes to 264 g flour = 100 cakes to x grams flour

12/264 = 100/x

12x = 26400

x = 2200

2200 g flour for 100 regular cakes

Proportion for vegetarian cakes:

12 cakes to 384 g flour = 60 cakes to y grams flour

12/384 = 60/y

12y = 384 * 60

12y = 23040

y = 1920

1920 g flour for 60 vegetarian cakes

Total flour needed:

2200 g + 1920 g = 4120 g

4120 g * 1 kg/(1000 g) = 4.12 kg

Answer: 4.12 kg

4 0
3 years ago
I need help with this .
Artist 52 [7]

Answer: electricity can be used to create magnetism

Step-by-step explanation:

4 0
3 years ago
Find the volume of a right circular cone that has a height of 3.9 ft and a base with a circumference of 16.3 ft. Round your answ
MissTica

Answer:

The answer to your question is Volume = 27.5 ft³

Step-by-step explanation:

Data

Volume = ?

height = 3.9 ft

Circumference = 16.3 ft

Process

1.- Calculate the radius of the Cone

   Circumference = 2πr = 16.3 ft

-Solve for r

                                    r = 16.3/2π

                                    r = 16.3/6.28

                                    r = 2.5955 ft

2.- Calculate the volume

Volume = 1/3πr²h

-Substitution

Volume = 1/3(3.14)(2.5955)²(3.9)

-Simplification

Volume = 1/3(82.4966)

-Result

Volume = 27.5 ft³

8 0
3 years ago
Read 2 more answers
55 is what percent of 100
max2010maxim [7]

55 is 55% of 100.

percents are based of of 100, so 55 would be 55/100 or 55%.

5 0
4 years ago
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