All categories

3 years ago

HELP TRIGONOMETRY!!!

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

5 0

Answer:

X=9 cm

Step-by-step explanation:

In the attached file

Nookie1986 [14]3 years ago

4 0

Answer:

x = 8.6 cm

y = 12.3 cm.

Step-by-step explanation:

sin 35 = x / 15

x = 15 sin 35 = 8.6 cm.

cos 35 = y / 15

y = 15 cos 35 = 12.3 cm.

You might be interested in

In this figure, AB || CD and m/1 = 110*. A / What is m/5? 5/6 8/ 7 D Enter your answer in the box.

pashok25 [27]

Answer:

240°

Step-by-step explanation:

Draw a line EF perpendicular to AB and CD passing through M

In △BME

∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)

∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘

In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘

x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘

6 0

3 years ago

Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)

Law Incorporation [45]

Answer:

$Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}$

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

$Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}$

Direction of the sum of the vectors:

$\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\$

3 0

2 years ago

At the beginning of the month, Sheryl had a balance of $120 in her checking account. She then made a purchase for $80, using her

kolezko [41]

Answer:

$80

Step-by-step explanation:

4 0

3 years ago

When two six-sided dice are rolled what is the probability that the product of their scores will be greater than six?

Pachacha [2.7K]

Answer: $\bold{\dfrac{11}{18}}$

<u>Step-by-step explanation:</u>

Think of the products row by row:

11 12 13 14 15 16 - 0 products greater than 6

21 22 23 24 25 26 - 3 products greater than 6

31 32 33 34 35 36 - 4 products greater than 6

41 42 43 44 45 46 - 5 products greater than 6

51 52 53 54 55 56 - 5 products greater than 6

61 62 63 64 65 66 - 5 products greater than 6

$\dfrac{\text{number greater than 6}}{\text{total possible outcomes}}=\dfrac{22}{36}=\dfrac{11}{18}\ when\ reduced$

8 0

2 years ago

Read 2 more answers

Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .