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2 years ago

Connections between tan theta and tan(90 + theta)

1 answer:

7 0

Tan(90+ theta) = (tan90 + tantheta)/(1-tan90tantheta)

= ( sin90costheta + sintheta cos 90) / (cos90costheta - sin90sintheta))
= sin(90 + theta)/ cos(90+ theta) = costheta/-sintheta = - 1/tantheta

tan(90 + theta ) = -1/tantheta

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Find the area of the triangle

BARSIC [14]

Answer:

The Area of Δ ABC = 219.13

Step-by-step explanation:

The hard part about this problem is finding the area without the height

The formula to do this is Area = $\sqrt{S(S-A)(S-B)(S-C)}$

A, B, C represent the sides

S represents $\frac{1}{2}$ (A + B + C)

In this equation, we will make the base be A, and the other two sides will be B and C

Sides B and C are the same length because they meet at a 90° angle

Lets plug the numbers into the variables

A = 28

B= 21

C= 21

Remember: S represents $\frac{1}{2}$ (A + B + C)

S = $\frac{1}{2}$ (28 + 21 + 21)

S = $\frac{1}{2}$ (70)

S = 35

Lets plug the numbers into the Area Formula now!

Area = $\sqrt{35(35 - 28)(35 - 21)(35 - 21)}$

According to the order of operations, we need to do the calculations in parentheses first

35 - 28 = 7

35 - 21 = 14

14 x 14 x 7 = 1372

1372 x 35 = 48020

$\sqrt{48020}$ = 219.13

The Area of Δ ABC = 219.13

3 0

2 years ago

Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overd

Sergio039 [100]

Answer:

the amount after 3 weeks is $37.33

Step-by-step explanation:

Given that

His balance is -$48.82 i.e. overdraft

Now in order to get the positive balance, he plans to deposit the money of $28.55 per week

We need to find out the amount after 3 weeks

So,

= -$48.32 + $28.55 + $28.55 + $28.55

= $37.33

hence, the amount after 3 weeks is $37.33

3 0

2 years ago

M∠LONm, angle, L, O, N is a straight angle.

Ne4ueva [31]

Answer: 41

Step-by-step explanation:

5 0

2 years ago

What is the common factor for 65 and 100

Elza [17]

Answer:

the answer is 5

Step-by-step explanation:

3 0

2 years ago

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Help solve attached question.

LekaFEV [45]

Answer:

$\mathrm{12\sqrt{5} \: \: inches}$

Step-by-step explanation:

Use Pythagorean theorem, where:

$a^2+b^2=c^2$

Substitute in the values.

$24^2+12^2=c^2$

$c^2=576+144$

$c^2=720$

$c=\sqrt{720}$

$c=12\sqrt{5}$

$c=26.83281$

4 0

2 years ago

Read 2 more answers