(will give brainliest!!!)
In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.
(no sin and cos pleasee)
(show work too)

Answers

Answer 1

9514 1404 393

Answer:

  18 cm^2

Step-by-step explanation:

Under the given constraints, the way to find the area of this triangle is to use a triangle solver app or web site. The attached shows the area is 18 cm^2.

_____

A simple way to find the area is to use the cosine function to find side AC adjacent to the 75° angle. Then use the formula for area that uses the sine function.

  AC = AB·cos(75°)

  Area = (1/2)AB·AC·sin(75°)

  Area = (1/2)(AB²)cos(75)sin(75°)

  = (1/4)AB²·sin(150°) . . . using the double-angle identity

  = (1/4)(12 cm)²(1/2)

  Area = 18 cm²

__

The useful relations are ...

  Cos = Adjacent/Hypotenuse

  cos(75°) = AC/AB   ⇒   AC = AB·cos(75°)

and ...

  Area = (1/2)pq·sin(α) . . . . for two sides p and q with angle α between them

  Area = (1/2)AB·AC·sin(75°)

Another identity we used here is ...

  sin(2α) = 2sin(α)cos(α)   ⇔   sin(α)cos(α) = (1/2)sin(2α)

Putting these together, the formula for area we used was effectively ...

  A = (1/4)AB²sin(2·75°)

(will Give Brainliest!!!)In The Right ABC With MC=90, MB=75, And AB = 12 Cm. Find The Area Of ABC.(no

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Total deductions =  $196.24

Step-by-step explanation:

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Answers

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x = -4

Answer:

x = - 4

Step-by-step explanation:

x - 5 = -9

=> x = -9 + 5

=> x = - 4

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Answer:

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Step-by-step explanation:

Zach's car travels 21 miles on 1 gallon of gas. Using the answer choice from the previous question, Determine how far Zach travels on a trip if he uses 16 gallons of gas.

Answers

Answer:

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Step-by-step explanation:every gallon goes 21 miles so

2gallons= 42 miles

3gallons =63 miles

16 gallons  x 21 miles

Answer:

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Step-by-step explanation:

for every one gallon he goes 21 miles

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The answer is B,
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you then change the second equation. Which is -2y+3x=1 we are going to follow the steps as the first equation we did so you divide everything by -2 because we want the y to be 1. It should look like this y=1.5x-0.5.
As you can see they are the same equation so that means they are in the same line so by that they’re be infinitely many solutions.

Hope this helps.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

3 squee root 3 so a is the answer

Answer:

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Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

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Answers

Answer:

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Step-by-step explanation:

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[tex]2x + 8y\leq 56[/tex]

[tex]\Rightarrow x+4y\leq 28.[/tex]


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answer:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

The biconditional statement will use the statements if and only if.

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Answers

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Answers

Y intercept is (0,3)
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Answers

Answer: 12.65

Step-by-step explanation:

Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.

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Answers

Answer:

I believe the answer is b=1/2(d-g)

Step-by-step explanation:

multiply to remove the variable from the denominator.

If mZ3 = 74°, find each measure.

Answers

Answer:

m<1 = 74

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m<4 = 74

Step-by-step explanation:


Which expression isequivalent to (65) (62)?

Answers

What are the options? There’s a bunch that’s equivalent. (65) (62) is multiplying 65 x 62 if it helps

What’s the answer xx

Answers

Step-by-step explanation:

Hey there!

Given;

ABC is a Right angled triangle.

Taking angle "A" as reference angle, we get;

Perpendicular (p) = BC

hypotenuse (h) = 13cm

Base(b) = 8cm

We know;

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex]or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

[tex] BC = \sqrt{ {13}^{2} - {8}^{2} } [/tex]

[tex] BC = \sqrt{169 - 64} [/tex]

[tex] BC = \sqrt{105} [/tex]

[tex] BC = 10.246[/tex]

Therefore, BC = 10.246cm.

Hope it helps...

the relationship between altitude and the boiling point is linear.AT an altitude of  8300ft 8300 ft , the liquid boils at  194.23 194.23 degrees Fahrenheit an altitude of  4200 ft , 4200 ft , the liqiud boils at  202.02 202.02 degrees fahrenheit.Write an equation giving the boiling point  b b of the liquid,in degrees fahrenheit in terms of altitude a in  feet . feet . What is the boiling point of the liqud at  2600 ft 2600 ft

Answers

Complete Question

The  relationship  between  altitude  and  the  boiling  point  is  linear. At  an  altitude  of   8300ft, the  liquid  boils  at   194.23 °  F

At  an  altitude  of   4200 ft ,  the  liquid  boils  at   202.02° F.

Write  an  equation  giving  the  boiling  point   b  of  the  liquid,  in  terms  of  altitude  a  in   feet . feet . What  is  the  boiling  point  of  the  liquid  at   2600ft

Answer:

The equation is  [tex]y  =  -0.001943x + 210.3569 [/tex]

At  2600ft  the temperature is  [tex]y  =  205.3051 \  °F [/tex]

Step-by-step explanation:

From the question we are told that

    The temperature at 8300ft is 194.23 °  F

    The  temperature at 4200 ft is 202.02° F

Generally the slope for this relationship is mathematically represented as

      [tex]m  =  \frac{ 202.2 - 194.23}{ 4200 - 8300}[/tex]

=>     [tex]m  = 0.001943  ^o  F / ft [/tex]  

Generally the according to the point slope formula is

      [tex]y - y_1  =  m(x -x_1 )[/tex]

=>   [tex]y - 194.23 =  -0.001943 (x - 8300 )[/tex]

=>  [tex]y - 194.23 =  -0.001943x + 16.1269 [/tex]

=>  [tex]y  =  -0.001943x + 210.3569 [/tex]

Now we are given from the question that   x =  2600 ft

Then  

         [tex]y  =  -0.001943(2600) + 210.3569 [/tex]

=>      [tex]y  =  205.3051 \  °F [/tex]

   

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