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2 years ago

Find X: tangent, cosine or sine?

Mathematics

1 answer:

Gnom [1K]2 years ago

4 0

Answer:

x ≈ 2.76

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan78° = $\frac{opposite}{adjacent}$ = $\frac{AB}{BC}$ = $\frac{13}{x}$ ( multiply both sides by x )

x × tan78° = 13 ( divide both sides by tan78° )

x = $\frac{13}{tan78}$ ≈ 2.76 ( to 2 dec. places )

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The coordinates of the vertices of quadrilateral CDEF are C(6, 6), D(6, 8), E(8, 10), and F(10, 8). The figure is rotated 90° ab

7nadin3 [17]

Answer:

see explanation

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x ), thus

C(6, 6 ) → C'(- 6, 6 )

D(6, 8 ) → D'(- 8, 6 )

E(8, 10 ) → E'(- 10, 8 )

F(10, 8 ) → F'(- 8, 10 )

8 0

4 years ago

Multiple and divide signed numbers

Bas_tet [7]

Answer:

Step-by-step explanation:

Multiply answer = - 106

Divide answer = 1.25

8 0

4 years ago

A new computer can complete a complex biochemistry calculation in 7 hours less than an older-model computer. Working together, t

Alchen [17]

The rate a computer works is 1/time. Working together, you add the rates.
Let new computer be x, old computer be y.
x = y - 7

$\frac{1}{x} + \frac{1}{y} = \frac{1}{13} \\ \\ \frac{1}{y-7}+\frac{1}{y} = \frac{1}{13} \\ \\ \frac{2y-7}{y(y-7)} = \frac{1}{13} \\ \\ y(y-7) = 13(2y-7) \\ \\ y^2-33y+91 = 0 \\ \\ y = 29.96 \\ \\ x = y-7 = 29.96-7 = 22.96$
Rounded to nearest tenth gives:
x = 23 hours

6 0

3 years ago

Course Home

NNADVOKAT [17]

Answer:

(a) The amount of pure acid in 60 oz of 20% acid solution is 12 oz.

(b) The amount of pure acid in 60 oz of 25% acid solution is 15 oz.

(d) The amount of pure acid in 60 oz of 50% acid solution is 30 oz.

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The solution is a mixture of two or more substances

- A container of liquid contains 60 oz of solution

- The solution contains pure acid by different concentrations

- (a) 20% (b) 25% (c) 30% (d) 50%

- We want to find the number of ounces of the pure acid in each

concentration

- Assume that the solution is 100%

- That means 100% represents 60 oz of solution

- The percentage of pure acid is 20%

∵ solution ⇒ pure acid

100% 20%

60 The number of ounces

- By using cross multiplication

∴ The number of ounces = $\frac{60*20}{100}= 12$

(a) The amount of pure acid in 60 oz of 20% acid solution is 12 oz.

- The percentage of pure acid is 25%

∵ solution ⇒ pure acid

100% 25%

60 The number of ounces

- By using cross multiplication

∴ The number of ounces = $\frac{60*25}{100}= 15$

(b) The amount of pure acid in 60 oz of 25% acid solution is 15oz.

- The percentage of pure acid is 30%

∵ solution ⇒ pure acid

100% 30%

60 The number of ounces

- By using cross multiplication

∴ The number of ounces = $\frac{60*30}{100}= 18$

(c) The amount of pure acid in 60 oz of 30% acid solution is 18 oz.

- The percentage of pure acid is 30%

∵ solution ⇒ pure acid

100% 50%

60 The number of ounces

- By using cross multiplication

∴ The number of ounces = $\frac{60*50}{100}= 30$

(d) The amount of pure acid in 60 oz of 50% acid solution is 30 oz.

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3 years ago

A sample of 2,005 american adults was asked how they viewed china, with 20% of respondents calling the country "unfriendly" and

Pachacha [2.7K]

So baiscktlg I need these points cheers

5 0

2 years ago