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Crazy boy [7]
3 years ago
9

Find the approximate area of the triangle y x> O 30 square units O 15 square units 21 square units 45 square units​

Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0

Answer:

Step-by-step explanation:

a right triangle is half of a rectangle and the area of a rectangle is

                 area of rectangle = length × width

Area of a triangle is one half times the length times the width

                 area of triangle =  1/2 × length × width

in this case

                length is the number of the y units  

                width is the number of x axis unit      

    area of triangle =  1/2 × length × width  

    area of triangle =  1/2 × (y units) × (x units)       you need to count and insert

                                                                                the number of units into the

                                                                                equation  

area of triangle =  1/2 × (??? y units ) × (??? x units )    do the math yourself

                                                                                       and see if you get one of

                                                                                       answers

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Urgent!! Will mark brainliest!!
horsena [70]

Answer:

1) x is negative and y is positive ⇒ last answer

2) cotФ = -12/35 ⇒ second answer

3) The right identity is cot²Ф - csc²Ф = -1 ⇒ last answer

Step-by-step explanation:

* For any point (x , y) lies on the terminal side of the angle Ф

 in standard position

* x = cosФ and y = sinФ

- If Ф in the first quadrant, then x , y are positive

∴ All trigonometry functions are positive

- If Ф in the second quadrant, then x is negative , y is positive

∴ sinФ only is positive

- If Ф in the third quadrant, then x is negative , y is negative

∴ tanФ only is positive

- If Ф in the fourth quadrant, then x is positive , y is negative

∴ cosФ only is positive

* Lets solve the problems

∵ Ф = 3π/4 ⇒ (135°)

∴ It lies on the second quadrant

∴ x is negative and y is positive

* Lets revise the reciprocal of sinФ, cosФ and tanФ

- cscФ = 1/sinФ

- secФ = 1/cosФ

- cotФ = 1/tanФ

∵ secФ = -37/12

∴ cosФ = -12/37

∵ π/2 < Ф < π

∴ Ф lies on the second quadrant

∴ cotФ is negative values

∵ tan²Ф = sec²Ф - 1

∵ secФ = -37/12

∴ tan²Ф = (-37/12)² - 1 = 1225/144 ⇒ take√ for both sides

∴ tanФ = ± 35/12

∵ cotФ = ± 12/35

∵ cotФ is negative value

∴ cotФ = -12/35

* In the standard position of the angle Ф the terminal

 of it lies on the unit circle O

- By using Pythagorean theorem

∵ x² + y² = 1

∵ x = cosФ and y = sinФ

∴ cos²Ф + sin²Ф = 1 ⇒ (1)

∴ cos²Ф = 1 - sin²Ф

∴ sin²Ф = 1 - cos²Ф

* Divide (1) by cos²Ф

∴ cos²Ф/cos²Ф + sin²Ф/cos²Ф = 1/cos²Ф

* Remember sin²Ф/cos²Ф = tan²Ф and 1/cos²Ф = sec²Ф

∴ 1 + tan²Ф = sec²Ф ⇒ (2) ⇒ subtract 1 from both sides

∴ tan²Ф = sec²Ф - 1 ⇒ subtract sec²Ф from both sides

∴ tan²Ф - sec²Ф = -1

* Divide (1) by sin²Ф

∴ cos²Ф/sin²Ф + sin²Ф/si²Ф = 1/sin²Ф

* Remember cos²Ф/sin²Ф = cot²Ф and 1/sin²Ф = csc²Ф

∴ cot²Ф + 1 = csc²Ф ⇒ (3) ⇒ subtract 1 from both sides

∴ cot²Ф = csc²Ф - 1 ⇒ subtract csc²Ф from both sides

∴ cot²Ф - csc²Ф = -1

* The right identity is cot²Ф - csc²Ф = -1

3 0
3 years ago
Austin has $5 more than Mark. If Mark has Δ dollars, write an expression for the amount of money Austin has.
pickupchik [31]
 Let x be Mark's dollars... x + 5 = Austin's dollars....Brainliest?....
6 0
3 years ago
Compare the value of the 2s and 5s in 55,220
Mademuasel [1]
Well the 2 in the tens place is ten times as many as the 2 in the hundreds place.Also the 5 in the thousand place is 10 times as many as the 5 in the ten thousand place
3 0
3 years ago
Read 2 more answers
Select the expression that shows the application of the distributive property for
sergeinik [125]

Answer:

c. 9t+45 that shows distributive property

where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5

8 0
2 years ago
Find two numbers that multiply to make the 1st number and add to make the 2nd number. Multiply -42; Add 1 _____, and _____
dedylja [7]

Answer:

  -6 and 7

Step-by-step explanation:

It is useful to look at the factor pairs of -42.

  -42 = -1(42) = -2(21) = -3(14) = -6(7)

Sums of these factor pairs are 41, 19, 11, 1.

You want the last pair of factors: -6 and 7.

5 0
2 years ago
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