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masya89 [10]
3 years ago
15

Can you help me with this question?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

  16.2

Step-by-step explanation:

The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.

Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:

  BC/FC = DC/AC

  BC = FC(DC/AC) = 21.6(7.2/9.6)

  BC = 16.2 . . . . matches the first choice

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Tan(x+pi/2)= negative cot x
DIA [1.3K]
I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

6 0
3 years ago
Find a irrational number between 7.7 and 7.9 explain why it’s irrational
Alexeev081 [22]
7.77777777 repeating

Irrational numbers are:

Numbers that repeat 
7.7777777 repeats the number 7 after the decimal

Numbers that CANNOT be written as a simple fraction.
7.7777777 cannot be written as a fraction in simplest form.

Answer = 7.777777777 repeating

~Aamira~

Hope this helped :)
8 0
3 years ago
Read 2 more answers
Solve the inequality.
mr Goodwill [35]

Answer:

which inequality? where the question ?

Step-by-step explanation:

4 0
3 years ago
I will give brainliest
irina [24]

Answer:

Below

Step-by-step explanation:

Population: 10,000

Sample: 250

5 0
2 years ago
jen and sarah go to lunch at the Green Grill.Their meals total $28.00 .The tax is 6%.What is the total cost including tax?
nordsb [41]
6%=0.06

28(0.06)
= 1.68 ---> tax

28+1.68
= 29.68

Jen and Sarah spent 29.68 dollars including tax

I hope this answer helped you and have a wonderful day!
5 0
3 years ago
Read 2 more answers
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