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2 years ago

10

Draw a right triangle that has an angle with a tangent of 1

1 answer:

serg [7]2 years ago

4 0

The only right triangle that has an angle with a tangent of 1 is a 45-45-90 right triangle.

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Two shops sell the same brand of baked beans but in different sizes of tin.

serg [7]

Answer:

Price in shop B is cheaper by 12 p per kg

Step-by-step explanation:

<u>Shop A</u>

£5.65/5= £1.13 = 113 p

<u>Shop B</u>

£2.02/2= £1.01= 101 p

Price in shop B is cheaper by 12 p per kg

5 0

2 years ago

Dahasolnce [82]

Answer:

a) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$ , b) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

$\sqrt{3}\cdot \csc x - 2 = 0$

$\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0$

$\sqrt{3} - 2\cdot \sin x = 0$

$\sin x = \frac{\sqrt{3}}{2}$

$x = \sin^{-1} \frac{\sqrt{3}}{2}$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

b) The equation must be simplified first:

$\cos x + 1 = - \cos x$

$2\cdot \cos x = -1$

$\cos x = -\frac{1}{2}$

$x = \cos^{-1} \left(-\frac{1}{2} \right)$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

7 0

3 years ago

What is the Absoulte value of 3

aleksandr82 [10.1K]

Answer:

it's 3

Step-by-step explanation:

Number 3 is 3 units away from 0, and thus the absolute value of 3 is 3.

3 0

2 years ago

Solve the proportion 40/z+1 = 15/6

vovangra [49]

Answer:

<h2>z = 15</h2>

Step-by-step explanation:

$\frac{40}{z + 1} = \frac{15}{6} \\$

<u>Cross multiply </u>

That's

$15(z + 1) = 40(6) \\ 15z + 15 = 240$

<u>Send 15 to the right side of the equation</u>

$15z = 240 - 15 \\ 15z = 225$

Divide both sides by 15

$\frac{15z}{15} = \frac{225}{15} \\$

We have the final answer as

<h3>z = 15</h3>

Hope this helps you

7 0

2 years ago

Which value is equivalent to the expression 2^3 + 3^4

Nana76 [90]

Answer:

89

Step-by-step explanation:

2^3=2*2*2=8

3^4=3*3*3*3=9*9=81

8+81=89

3 0

2 years ago