(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

CAN SOMEONE HELP ME PLEASE AND THANK YOU?!

Answers

Answer:

AB is parallel to YZ, BC is parallel to XY, AC is parallel to XZ.

A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months

Answers

Answer:

17.7 meters

Step-by-step explanation:

x = 30

15 + 0.09*30

0.09*30 = 2.7

2.7 + 15 = 17.7 meters

these triangles are congruent by the triangle congruence postulate

Answers

the answer is a, sss

Answer: SSS

Step-by-step explanation:

SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.

What is the square of 20

Answers

First you need to know that square means multiplicatin by itself to itself so square of 20 means 20×20=400

The square root of 20 is 4.472

The square or 20^2 is 20•20=400

Which graph represents the solution set for the compound inequality below?

Answers

Answer:

Option 1

Step-by-step explanation:

First inequality:

-x/3>=-3 => x<9

Second inequality:

x>=17

a=9
b=12
What is the length of c?

Answers

Answer:

c = 15

Step-by-step explanation:

a^2 + b^2 = c^2

This formula is the Pythagorean Theorem, which is used to find the length of one of the three sides to a right triangle. a and b are the two short sides, while c is the hypotenuse (long diagonal side).

Given a and b we are able to solve for c

c^2 = 9^2 + 12^2

c^2 = 81 + 144

c^2 = 225

Square root both sides to cancel the square

c = 15

Answer:

15

Step-by-step explanation:

Use this equation

a^2+b^2=c^2

so,

9 squared is 81 and 12 squared is 144.

81+144=225

The square root of 225 is 15.

Solve for x
I
(2x +1)° (5x +50°

Answers

Answer:

5 x + 1

Step-by-step explanation:

5 × + 50°

Any non - zero expression raised to the power of 0 equals 1

5 x + 1

Answer:

x = 12

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

since this is a right triangle

90° + 2x + 1 + 5x + 5 = 180° add like terms

7x + 96 = 180 subtract 96 from both sides

7x = 84 divide both sides by 7

x = 12

CAN U GUYZ PLz HELP MEH??? PLZPLZPLZPLZPLZPLZPLZPLZPLZ???????

Answers

answer should be 26.75 units hoped this helped :)

Solve for x. Perimeter = 126 meters

Answers

Answer:

image or context?????

Step-by-step explanation:

Idek man I’m lost whereeeee

If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?

Answers

Answer:

$600

Step-by-step explanation:

450➗75✖100= 600. The original price was $600.

Answer:

600

Step-by-step explanation:

450/.75=600 dollars

What expressions are equivalent to 10^-5x10^2

Answers

Answer:

Answer= D and E

Step-by-step explanation:

(for two powers multiplied together we add them)

[tex]10^{-5}[/tex]×[tex]10^{2}[/tex]

=[tex]10^{-5+2}[/tex]

=[tex]10^{-3}[/tex]

this is the same as:

=[tex]\frac{1}{10^{3} } =\frac{1}{1000}[/tex] (as [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])

or

[tex](\frac{1}{10})^{3}[/tex] (as this is the same as [tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex]×[tex]\frac{1}{10}[/tex] which is equal to [tex]\frac{1}{1000}[/tex] the answer for the question)

graph y= -x -6 please

Answers

Use desmos and type in coordinates

Answer:

Correct

Step-by-step explanation:

Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.

Write down an example of an equation that has:
a. One solution
b. Two solutions
c. An infinite number of solutions
d. No solutions

Answers

Well one could be like B•A=C•X what is the value of X

Answer:

a. 2x+3=7

b. x^2=9

c. x=x

d. x+4=x+3

Step-by-step explanation:

A) can be proved correct by x=2 as 2(2)=4+4=7

B)x^2=9 can be proven correct by either (3,3) or (-3,-3) as 3*3 is 9 and -3*-3=9 as well because two negatives equal a postive

C) x=x is the simplest equation w/ infinite solutions-you could have 2=2 or 4=4

D) There is no answer that can make this equation correct

What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)

Answers

Answer:

Step-by-step explanation:

If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. You can also graph the two points and use rise over run. [tex]\frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1[/tex]

-1  is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, a line that is parallel to the line joining (7,-5) and (-5,7)

Since lines are parallel to each other thus their slope will be the same.

From the general formula of slope:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (7 + 5)/ -5 - 7)

Slope = -1

Therefore, the slope of a line that is parallel to the line joining (7,-5) and (-5,7) is -1.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ2

HELP IM TIMED ROUND THE FACTOT AND ESTIMATE THE PRODUCT FOR EACH ONE

Answers

Answer:

The second one is 3,000 x 8,000 = 24,000,000 The first one is 700 x 100 = 70,000 then the third is 400 x 9,000 = 6,600,000 And the last is  9,000 x 57,000 = 513,000,000

Step-by-step explanation:

8 7/90 in decimal form

Answers

Answer:

0.07–

Step-by-step explanation:

The answer is above :)

Answer:

to express in decimal form , we have to join convert the mixed fraction into a improper fraction.

8 7/90 = d * w + n

          =  90 * 8 + 7

        =    720 + 7

          = 727 / 90

 now you have to make the denominator into a mutiple of 10

         = 727 / 90  divided by 9

        =  80 / 10

       = 0.80

Step-by-step explanation:

hope it helps .

What is y + 3 = 4(x-6) in standard form?
O A. -4x+y=-27
O B. 4x - y = 27
O C. y + 3 = 4x - 24
O D. y = 4x - 27

Answers

“A” is the answer; “B” is not correct/equivalent to the given equation, “C” is not simplified enough, and “D” is in slope-intercept form

ILL GIVE BRAINLIST! this is about Determining a scale factor!! the last answer that couldn't fit in the picture is 9| 12_​

Answers

Answer:

The first one (4cm for height and 3cm for base)

Step-by-step explanation:

the original height is 16cm and base is 12cm

if you multiply them both by 1/4 or 0.25 you get 4 and 3

(16*0.25=4 and 12*0.25=3)

Another way you could do it is to divide 16 and 12 by four and you still get 4 and 3

(16/4=4 and 12/4=3)

Answer:

Is A.

Step-by-step explanation:

The sides of the triangle include numbers 4 and 3 in option A. Mathematically in scale factor form, 16 cm 12 cm divide or multiply evenly into the scale factor of 1/4.

Fill in the blanks by creating the line perpendicular to y=1/3x-3 that goes through (-1, -4) in slope intercept form.

Answers

Answer:

y = -3x - 7

Step-by-step explanation:

To find the slope of this perpendicular line, you'll have to keep in mind that a perpendicular line will have an opposite reciprocal of the slope of the line you are given. Here's what I mean:

Given Line: y = 1/3x - 3

Slope of Perpendicular Line: m = -3/1 = -3

Now, you'll have to find the y-intercept. But, to make sure your line passes through the given points, (-1, -4), you'll have to plug in the x and y values:

y = mx + b

-4 = (-3) (-1) + b

-4 = 3 + b

b = -7

Now just plug in your y-intercept and slope into the slope-intercept formula:

y = -3x - 7

Is this a geometric sequence? 100,50,10,5, 1,...

Answers

Answer:

No

Step-by-step explanation:

1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2

Answers

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

Which of the following is r^2 + 4s evaluated for r = 4 and s = 1.5?
14
30
38
22

Answers

Answer:

22

Step-by-step explanation:

Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.

Hope This Helps!

8 6/12 decimal form

Answers

Answer:

8.5

Step-by-step explanation:

6 is half of 12 so I guessed 8.5

someone help please
the options are
1. y = 2x + 4
2. y = 1/2 x + 4
3. y = -1/2x + 4
4. y = -2x + 4

Answers

Answer:

2. y = 1/2x + 4

Step-by-step explanation:

This is the only equation that moves in a positive slope the way the graph shows it, hope this helps.

-4 5/6 + (3 1/3) =
How dI you do this?

Answers

they should have common denominators so 1/3 turns into 2/6 and - 5/6 + 2/6 is -3/6 simplify that to -1/2 and -4 + 3 is -1 so the answer is -1 1/2

The distance between point A(2,3) and point B(6,1) is ?

Answers

Answer:

[tex]2 \sqrt{5} [/tex]

decimal form: 4.47213595

Answer: 395 km

lol they want it to be 200 characters long what I look like ? Lol

In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.

Answers

Answer:

see below

Step-by-step explanation:

The rate of change is

f(x2) - f(x1)

------------------

x2-x1

Since this is a line we can pick any two points on the line, one befre x=1 and one after x=1

Let x=0 and x=2

f(2) - f(0)

-------------

2-0

4-2

-------

2

2/2

1

The rate of change is 1

The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?

Help

Answers

Answer:

€20,000

Step-by-step explanation:

% decrease = (original price of the car - new price) ÷ original price × 100

Let "x' represents the original price before the decrease.

New price = €13,000

% decrease = 35%

Plug in the values into the equation

[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]

[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]

Multiply both sides by x

[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]

[tex] 35x = 100x - 1,300,000 [/tex]

Subtract 100x from both sides

[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]

[tex] -65x = -1,300,000 [/tex]

Divide both sides by -65

[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]

[tex] x = 20,000 [/tex]

The car was worth €20,000 before the decrease.

Graph ​3x−y=6​.

Use the line tool and select two points on the line.

Answers

Answer:

Plot point -6 and 2 and just keep making the line straight off the graph  I think this should help

Step-by-step explanation:

Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2

Answers

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

the answer is y= 2 x + 11
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