All categories

4 years ago

Find the exact value of sin 225º without using a calculator

Mathematics

2 answers:

kirill [66]4 years ago

8 0

Step-by-step explanation:

$\sin \: 225 \degree \: \\ = \sin \: (180 \degree + 45\degree) \\ = - \sin \: 45 \degree \\ = - \frac{1}{ \sqrt{2} } \\ = - \frac{\sqrt{2}}{2}\\= - \frac{1.4142}{2}\\=-0.7071 \\ \red{ \boxed{\therefore \: \sin \: 225 \degree = - 0.7071}}$

aivan3 [116]4 years ago

6 0

Answer:

-√2+√6/4

Step-by-step explanation:

You might be interested in

What is the slope of the line whose equation is –3x+y=12

hammer [34]

Answer:

m=3 is the slope

Step-by-step explanation:

5 0

3 years ago

You are drawing two cards, without replacement, from a standard deck of 52 cards. What is the

Serga [27]

Answer:

Dear student,

Answer to your query is provided below

Probability of drawing a 2 at first is (4/52) = (1/13)

Probability of drawing a face card in second try without replacement = 12/51

Step-by-step explanation:

Total no. Of cards = 52

Total no. Of cards of 2 = 4

Prob. Of drawing 2 = 4/52

Total no. Of face card = 12

Total no.of cards left in deck = 51

Prob. Of drawing face card = 12/51

5 0

3 years ago

Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria

Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

$NR=24\ units$

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

$NM = MO = ON =16\sqrt{3}$

NR is perpendicular bisector to MO such that

$MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3}$ .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Substituting the values we get

$(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units$

Therefore the height of the triangle is

$NR=24\ units$

6 0

3 years ago

Read 2 more answers

a vase has the shape of a rectangular prism. the inside of the vase is also a rectangular prism. what is the volume of the solid

MrRa [10]

We have been given that a vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. We are asked to find the volume of the solid part of the vase .

The volume of solid part of the vase is equal to volume of rectangular vase minus volume of inside of the vase.

We know that volume of rectangular prism is length times width times height.

$\text{Volume of the solid part of the vase}=25\cdot 8\cdot 10-22\cdot 5\cdot 4$