Find the are of ABC with the side lengths a=8 and b=12, and included angle C=84 degrees. Round your answer to the nearest tenth

Answer:

Step-by-step explanation:

2sin²β-7sinβ-4=0

2sin²β-8sin β+1 sin β-4=0

2 sin β(sin β-4)+1(sin β-4)=0

(sin β-4)(2sin β+1)=0

either sin β-4=0

sin β=4 (rejected,as |sin β|≤1)

or

2 sin β+1=0

sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)

β=7π/6,11π/6

Answer:

47.13 for 17 melons

Step-by-step explanation:

We can use a ratio to solve

24.95               x dollars

---------------- = ----------------

9 melons          17 melons

Using cross products

24.95 * 17 = 9x

Divide by 9

24.95 * 17/9 = x

47.127777777 = x

Rounding to the nearest cent

47.13 for 17 melons

Answer:

$47.12

Step-by-step explanation:

We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.  

Answer:

30t

Step-by-step explanation:

2(15)t

30t

Answer: 30t

Step-by-step explanation:

The group earned 15t, or 15$ an hour for t hours.  Then it was doubled(15t * 2=30t)

Answer:

x = 1.125

Step-by-step explanation:

6x – 5 = (2/3)x + 1

6x - (2/3)x = 1 + 5

(16/3)x = 6

x = 9/8

x = 1.125

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3)  = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4   ; y + 3 = -8

x = 4 +2  ; y = -8 - 3

x = 6      ; y = -11

B(6 , -11)

Answer:

The area of square is 64ft².

Step-by-step explanation:

Given that all sides of a square are equal. So you have to apply the formula for area of square :

[tex]area = length \times width[/tex]

[tex]let \: length = 8 \\ let \: width = 8[/tex]

[tex]area = 8 \times 8[/tex]

[tex]area = 64 \: {ft}^{2} [/tex]

Answer:

here,

side length (l)= 8 ft.

now, area = l^2

a= 8^2

=64ft^2 is the answer..

hope i helped uh..

Answer:

Step-by-step explanation:

None of these choices is correct.  

3y = 8 is an equation, not an expression.  It states that "y is 8 divided by 3," which again is an equation.

Answer:

3 times y divided by 8

Step-by-step explanation:

Answer:

y=-1/5+1

Step-by-step explanation:

Answer:

y = -1/5x + 1

Step-by-step explanation:

In these types of problems you want to guesstimate the slope and draw an imaginary solid line amongst the dots. The slope you'll end up with is -1/5 because the graph is decreasing.

and just to check, i typed this into my graphing calculator and can confirm this as the answer. :)

Answer:

-1 10/17

Step-by-step explanation:

Answer:

y = 1 10/17

Step-by-step explanation:

The LCD is 9y.  Multiply all three terms by 9y:

(9y)(12)                   (9y)(4)

----------- + 8(9y) = -----------

     y                           9

This reduces to 108 + 72y = 4y, or 108 = -68y

Dividing both sides by 68, we get y = 1 10/17

Answer:   x < 3

Step-by-step explanation:

4(x + 3) < 3(x + 5)

4x + 12 < 3x + 15           Distributed

 x + 12 < 15                   Subtracted 3x from both sides

       x  < 3                     Subtracted 12 from both sides

Answer:

4x^2+9x-15<0

Step-by-step explanation:

x.4(x+3)<3(x+5)

(4x)(x+3)<3x+3x5

(4x)(x+3)<3x+15

4xx+4x.3<3x+15

4x^1+1+4x3x<3x+15

4x^2+12x<3x+15

(4x^2+12x)+(-3x-15)<(3x+15)+(-3x-15x)

4x^2+9x-15<3x-3x+15-15

4x^2+9x-15<0

Answer:

75

Step-by-step explanation:

200 ÷ 8 = 25

25 x 3 = 75

The number of times 2 coins will turn heads up is 75, the correct option is D.

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

When 3 coins are flipped, there is two probabilities,

The probability of getting a head or a tail is 1/2.

The probability that there will be 2 coins that will turn up heads is 3/8

Probability is defined as the ratio of favorable outcomes to total outcomes.

If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,

= (3/8) * 200

= 75

To know more about Probability

https://brainly.com/question/11234923

#SPJ5

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

Answer:

Because these are in slope-intercept form which is much easier because y=mx+b means that m=the slope, and b=y intercept so all your information is laid out in front of you.

Step-by-step explanation:

Hope it helps <3

(If it does, please give brainliest, only need one more for rank up :) )

Answer:

2. [tex]18\sqrt{5}[/tex]

3. [tex]52.303...[/tex]

4. [tex]11.608...[/tex]

Step-by-step explanation:

2. Using the Pythagorean Theorem, we can see that [tex]a^2+b^2=c^2[/tex]. Therefore, [tex]90^2+90^2=8100+8100=c^2[/tex]. We know that [tex]8100+8100[/tex] is [tex]16200[/tex]. The square root of [tex]16200[/tex]  is [tex]90\sqrt{2}[/tex].

3. Same as before, we use the Pythagorean Theorem. This time, we're calculating [tex]b[/tex] instead of [tex]c[/tex]. This means we have to do [tex]60^2-29.4^2=b^2[/tex], which gives us [tex]3600-864.36[/tex], which equals [tex]2735.64[/tex]. We can put this in decimal form, which would give us [tex]52.303[/tex][tex]...[/tex]

4. This one, we do [tex]15^2-9.5^2[/tex], which would give us [tex]134.75[/tex]. Simplifying this would give us [tex]11.608...[/tex].

Hope this helped! Just remember the Pythagorean Theorem.

A circle is a curve sketched out by a point moving in a plane. The length of AC in the given figure is 5 units. The correct option is

3.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

In a circle, the angle between the radius and tangent is always equal to 90°. Therefore, we can write that in the given figure ΔABC, the triangle is a right angle triangle with ∠B as the right angle.

Now, for the triangle using the Pythagoras theorem we can write,

AC² = AB² + BC²

AC² = 3² + 4²

AC² = 9 + 16

AC = √25

AC = 5

Hence, the length of AC in the given figure is 5 units.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ5

Answer:

Step-by-step explanation:

-3×2x)+(-3×5)

-6x+-15

Answer: 25<27

Step-by-step explanation:

-125/-5=25

-135/-5=27

25<27

Answer:

[tex]\boxed{25<27}[/tex]

Step-by-step explanation:

[tex]-125 > -135[/tex]

Dividing both sides by -5

=> [tex]\frac{-125}{-5} < \frac{-135}{-5}[/tex]

=> [tex]25 < 27[/tex]

Answer:

14)  [tex]\frac{1}{2} n-1[/tex] (half of n is [tex]\frac{1}{2} n[/tex] and subtract that with 1)

15) 3o+4 ( multipy o with 3, it becomes "3o" and add that with "4")

16) 5p-2 (same concept as No.15)

17) 7+r ( add 7 with "r")

18) s+7 (same concept with No.18)

19) t-10 (subtract 10 from "t")

20) 10-u ( subtract "u" from 10)

21) 2v ( multiply 2 with v)

22) 2w (same concept as No.21)

23) [tex]\frac{x}{5}[/tex] (divide x with 5 and show the result in fractions)

24) [tex]\frac{5}{y}[/tex] ( divide 5 with y and show the result in fractions)

Tip : Alphabets and numbers never combine unless you multiply them with it (eg. 3*x = 3x) but ( 3+x stays like that ).

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~

Your answer would be (D) 25–40

Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.

Thus, (D) is the correct answer.

Answer:

Its D

Step-by-step explanation:

for all the ppl who don't care how they got it

Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

Answer:

look below

Step-by-step explanation:

The equation of graph g(x) = f(-x) as it has been rotated along y-axis and the maximum coordinates of g(x) is (-3, 4).

A function can be thought of as output for the given set of inputs. The output is called the dependent variable and the inputs are called the independent variable.

We know when we rotate a function along the y-axis sign of x changes.

Given a function y = f(x) after rotation along y-axis it becomes y = f(-x) = g(x)

and if the given function is odd f(-x) becomes -f(x).

Also given that the maximum point of f(x) = (3, 4).

∴ Function  g(x) will have maximum at coordinates (-3, 4).

learn more about functions here :

https://brainly.com/question/12431044

#SPJ2

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.

The linear function can be found by using the point-slope formula:

[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:

[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]

[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

We kindly invite to check this question on inequalities: https://brainly.com/question/15137133

Answer:

missing info my dude

Step-by-step explanation:

Answer: If three points lie on the same line, there is only one plane that can pass through them.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

12/5 means roughly 2 cards per week

In 4 weeks he would get 8 additional cards

12+8=20

Hope this help!

===============================================

Work Shown:

The notation P(B|A) has a vertical line separating the B and A

Given values

----------

P(B|A) = P(B and A)/P(A) ... conditional probability formula

P(B and A) = P(B|A)*P(A) ... solve for P(B and A)

P(B and A) = 0.88*0.46 ... plug in given values

P(B and A) = 0.4048

P(B and A) = 0.405 .... rounding to three decimal places

This is the same as P(A and B).

Answer:

Step-by-step explanation:

a) angle CAD= angle ODA ( in triangle OAD, OA=OD(same radius) angels opp                          to equal sides are equal)

hence angle CAD=42

b)angle b =90(angle subtended by diameter)

hence using angle sum property in triABC,

angle ACB=66-------------eq4

c) in tri OAD,

Angle AOD=180-(42+42)-------(using angle sum prop.)

=> 96-----------------eq1

angleACD=1/2 Angle AOD ( angle subtende by an arc at centre is double the angle subtended...)

hence angle ACD =1/2 x 96(from eq1)

angleACD=48--------------eq3

from eq 3,and eq4,

angle BCD= 48+66

=114 degree...

hope this helped you........pls mark brainliest

a) Measure of angle CAD is, 42°

b) The size of ACB is, 66°

c) The size of angle BCD is, 114°

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

In the diagram O is the center of the circle.

And, AOC is a straight line.

Here, Angle BAO is 24° and Angle ADO is 42°​.

Now,

a) In triangle OAD,

⇒ OA=OD (same radius)

And, Angels opposite to equal sides are equal.

Hence, We get;

⇒ ∠CAD= ∠ODA

⇒ ∠ CAD = 42°

b) We have;

⇒ ∠B =90     (Angle subtended by diameter)

Hence, By using angle sum property in ΔABC,

⇒ ∠ BAC + ∠ACB + ∠B = 180°

⇒ 24 + ∠ACB + 90° = 180°

⇒ ∠ ACB = 66°

c) In ΔOAD,

⇒ ∠AOD = 180 - (42 + 42)   ( By using angle sum property)

              = 96

And, Angle subtended by an arc at center is double the angle subtended.

Hence, We get;

⇒ ∠ACD = 1/2 ∠AOD

               = 1/2 × 96

               = 48°

Hence, We get;

⇒ ∠ BCD = 48° + 66°

               = 114°

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

Answer:

25/33

Step-by-step explanation:

-1 2/3 ÷ ( -2 1/5)

Change from mixed number to improper fraction

- ( 3*1 + 2) /3 ÷  - ( 5*2+1) /5

-5/3 ÷ -11/5

Copy dot flip

-5/3 * -5/11

25/33

Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

Answer:

A. 3

Step-by-step explanation:

Let the integers be

x

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18