All categories

4 years ago

Pls help me with trig :)

Mathematics

1 answer:

trapecia [35]4 years ago

4 0

Answer:

Step-by-step explanation:

let ∠GEF=x

then ∠GFE=90-x

$\frac{GH}{EH}=tan x\\GH=EH~ tan x\\or~ GH=a ~tan x=6 tan x\\\frac{GH}{FH}=tan (90-x)=cot x\\GH=FH*cot x\\GH=b*cot x=27 cot x\\6 tan x=27 cotx\\\frac{tan x}{cot x}=\frac{27}{6}\\tan ^2 x=\frac{27}{6}=\frac{9}{2}\\sec^2x-tan^2x=1\\sec^2 x=1+tan ^2x=1+\frac{9}{2}=\frac{11}{2}\\\frac{EG}{EH}=sec x\\ EG=EH sec x=a sec x= 6 sec x=6\sqrt{\frac{11}{2} } =3\sqrt{22} \approx 14.07$

You might be interested in

Help!!!!!!!!!!!!!!!!

kaheart [24]

Answer:

$\cos\alpha\sin\alpha(\cos\alpha-\sin\alpha)$

Step-by-step explanation:

First, simplify each term:

$\sin\left(\dfrac{\pi}{2}+\alpha\right)=\cos \alpha\\ \\\cos \left(\dfrac{\pi}{2}+\alpha\right)=-\sin \alpha\\ \\\cos \left(\alpha-\dfrac{3\pi}{2}\right)=-\sin \alpha\\ \\\sin \left(\dfrac{3\pi}{2}+\alpha\right)=-\cos \alpha$

Then given expression is equivalent to

$\cos ^3\alpha+(-\sin \alpha)^3-(-\sin \alpha)+(-\cos \alpha)\\ \\=\cos ^3\alpha-\sin^3 \alpha+\sin \alpha-\cos \alpha\\ \\=(\cos\alpha-\sin\alpha)(\cos^2\alpha+\cos\alpha\sin\alpha+\sin^2\alpha)-(\cos\alpha-\sin\alpha)\\ \\=(\cos\alpha-\sin\alpha)(1+\cos\alpha\sin\alpha-1)\ \ [\cos^2\alpha+\sin^2\alpha=1]\\ \\=\cos\alpha\sin\alpha(\cos\alpha-\sin\alpha)$

6 0

3 years ago

An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an

Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

28 students in the Spanish class,
26 in the French class,
16 in the German class,
12 students that are in both Spanish and French,
4 that are in both Spanish and German,
6 that are in both French and German,
2 students taking all 3 classes.

So,

2 students taking all 3 classes,
6 - 2 = 4 students are in French and German, bu are not in Spanish,
4 - 2 = 2 students are in Spanish and German, but are not in French,
12 - 2 = 10 students are in Spanish and French but are not in German,
16 - 2 - 4 - 2 = 8 students are only in German,
26 - 2 - 4 - 10 = 10 students are only in French,
28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

$\dfrac{50}{100} =0.5$

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

$\dfrac{8+10+14}{100}=0.32$

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

$0.5\cdot 0.5=0.25$

So, the probability that at least 1 is taking a language class is

$1-0.25=0.75$

3 0

4 years ago

A marble started with 0.0018 J of Potential Energy and at some point later it has only 0.0011 J of Potential Energy. How much Ki

Yakvenalex [24]

Answer:

the Kinetic Energy of the marble at the later point is 0.0007 J

Step-by-step explanation:

Given;

initial potential energy of the marble, P.E₁ = 0.0018 J

final potential energy of the marble, P.E₂ = 0.0011 J

At the initial starting point, the total mechanical energy is;

M.E = K.E + P.E

at the initial starting point, velocity = 0

M.E = 0 + P.E

M.E = P.E = 0.0018 J

At some point later, the total mechanical energy is;

M.E = P.E + K.E

0.0018 J = 0.0011 J + K.E

0.0018 J - 0.0011 J = K.E

0.0007 J = K.E

Therefore, the Kinetic Energy of the marble at the later point is 0.0007 J

8 0

3 years ago

What digit(s) can be in the one's place of a number that has 5 as a factor?

max2010maxim [7]

Any number that ends with a 0 or a 5 would be a multiple of 5 because as you multipy numbers by 5 you start to see a pattern in the ones place of 5,0,5,0,5,0,5,0,... And so on forever

6 0

4 years ago

Read 2 more answers

Answer Asap Will make Brainliest!

Art [367]

Answer:

This is a problem with translations in the x-axis.

if we have a real positive number a, then for a function f(x), the graph of the function f(x - a) will be the graph of f(x) but translated by a units to the right.

then, if we have f(x - 2) we translate the graph 2 units to the right, if we have f(x + 4) we translate the graph by 4 units to the left.

Then the order, from left to right, is:

f(x + 3)

f(x +2)

f(x)

f(x - 1/2)

f(x - 4)

f(x - 7)

6 0

3 years ago