(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

Related Questions

If 3+k,18-k,5k+1 are in A.P, then find k​

Answers

Given:

• 3 + k , 18 - k and 5k + 1 are in AP .

To find :

• The value of K .

Solution :

• As we know that, In AP common difference is same :

• b - a = c - b

=> 2b = a + c

Here ,

• a = 3 + k

• b = 18 - k

• c = 5k + 1

=> 2 ( 18 - k ) = 3 + k + 5k + 1.

=> 36 - 2k = 4 + 6k

=> 36 - 4 = 6k + 2k

=> 32 = 8k

=> k = 32/8

=> k = 4

Hence , the value of k is 4.

Answer:

k=4

Step-by-step explanation:

Since the given terms are in A.P., the common difference will be the same

So, 18-k-3-k = 5k+1-18+k

15-2k = 6k-17

6k+2k = 17+15

8k = 32

k = 4

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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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Step-by-step explanation:

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Step-by-step explanation:

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Given the points: (-2, 0) and (4,8) find the slope

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

-2x

Grado : 1

Coefficiente  : -2

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x²y⁴:

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Answers

Answer:

I got you buddy! it's (32+2)(32+10)

Step-by-step explanation:

[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

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Factor the polynomial by dividing it by this factor:

[tex]3x^2+10[/tex]

The following polynomials are not factored since they do not have any rational roots:

[tex]3x^2+2[/tex][tex]3x^2+10[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

The factored form of [tex]9x^4+36x^2+20[/tex] is:

[tex]\bold{(3x^2+10)~(3x^2+2)}[/tex]

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Answer:

see below

Step-by-step explanation:

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Answer:

the lines arent parallel

Step-by-step explanation:

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A) 13
B) 23
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27. Mrs. Smith bought stock valued at $142.00 per share and sold it
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Answers

Answer:

8 1/3

Step-by-step explanation:

153.83/142=1.0833333, meaning she made an additional 8.33333 percent more profit.

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Answers

Multiple both the numbers so 1.48*245
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What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

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In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,

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Answer:

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1.‌‌ ‌‌Escreva‌ ‌na‌ ‌forma‌ ‌fatorada:‌ ‌ ‌ a.‌‌ ‌‌51‌ ‌ b.‌‌ ‌‌56‌ ‌ c.‌‌ ‌‌65‌ ‌ d.‌‌ ‌‌77‌ ‌ e.‌‌ ‌‌48‌ ‌ f.‌‌ ‌‌50‌ ‌ g.‌‌ ‌‌80‌ ‌ h.‌‌ ‌‌99‌ ‌ i.‌‌ ‌‌108‌ ‌ j.‌‌ ‌‌132‌ ‌ k.‌‌ ‌‌210‌ ‌ l.‌‌ ‌‌180‌ ‌ m.‌ ‌‌234‌ ‌

Answers

Answer:

por favor, verifique a explicação

Step-by-step explanation:

Queremos escrever cada um dos números como uma multiplicação de seus fatores; Procedemos da seguinte maneira;

a. 51 = 3 * 17

b. 56 = 2 * 2 * 2 * 7

c. 65 = 5 * 13

d. 77 = 7 * 11

e. 48 = 2 * 2 * 2 * 2 * 3

f. 50 = 2 * 5 * 5

g. 80 = 2 * 2 * 2 * 2 * 5

h. 99 = 3 * 3 * 11

i. 108 = 2 * 2 * 3 * 3 * 3

j. 132 = 2 * 2 * 3 * 11

k. 210 = 2 * 3 * 5 * 7

l. 180 = 2 * 2 * 3 * 3 * 5

m. 234 = 2 * 3 * 3 * 13

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0.81

Step-by-step explanation:

Find the value of x.

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Answer:

sdf

Step-by-step explanation:

sdff

For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:

132 + 4 + x = 180

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136 + x = 180

Subtract 136.

x = 44

You are right!

For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:

68 + x + 9 = 90

Combine 68 and 9.

77 + x = 90

Subtract 77.

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100

Step-by-step explanation:

100 x 0.82 =0.0082

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Step-by-step explanation:

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Now, the ratio of the distance traveled by car a to car b is given by :-

[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.

So, the the ratio of the distance traveled by car a to car b = 15:26

Hence, the ratio of car a to car b = 15:26

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See attachment for math work and answer.

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Answer:

2A=

Step-by-step explanation:

Being in the same denominator makes the task much simpler.

Explanation:

A

=

X

+

Y

2

Simplify using the property

a

b

=

m

n

a

×

n

=

b

×

m

2

A

=

X

+

Y

2

A

X

=

Y

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Answer:

the answer is y = 2a - 2x

Step-by-step explanation:

That's what I get when I solve for y

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Answers

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

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Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

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Therefore, amount of apples sold in a week = 1102.5 pounds

Answer:

1102.5 pounds

Step-by-step explanation:

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Answers

P= -7 is your answer

Step-by-step explanation:

Hey there!

Here;

The given points are; (6,5) and (9,p).

Slope (m)= -4

Use slope formula;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex] - 4 = \frac{p - 5}{9 - 6} [/tex]

Simplify it to get answer.

[tex] - 4 = \frac{p - 5}{3} [/tex]

[tex] - 12 + 5 = p[/tex]

Therefore, p= -7.

Hope it helps...

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Answer:

Domain:

[tex] - 2 \leqslant x \leqslant 2[/tex]

Range:

[tex] - 2 \leqslant y \leqslant 3[/tex]

Step-by-step Explanation:

The domain is all the values of x that make the function true. These are the values shown on the x-axis. The range is all the values of y that make the function true. These are the values shown on the y-axis.

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10x-20

Step-by-step explanation:

Answer:

distribute the 5

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Answers

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-72

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Answer:

y=3x

Step-by-step explanation:

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Y-intercept is at the origin or (0,0), so you take the y-coordinate.

Plug them into the equation.

y=3x+0 or y=3x

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