Solve this quadratic equation

The area of triangle IJK is 999.8 square centimeters

The given parameters are:

[tex]\angle I = 120^o[/tex]

[tex]\angle J = 59^o[/tex]

[tex]i = 340cm[/tex]

Start by calculating the length of side j using the following sine ratio

[tex]\frac{i}{\sin(I)} = \frac{j}{\sin(J)}[/tex]

Make j the subject of the formula

[tex]j = \sin(J) \times \frac{i}{\sin(I)}[/tex]

Substitute known values

[tex]j = \sin(59) \times \frac{340}{\sin(120)}[/tex]

Evaluate the expression

[tex]j = 337[/tex]

Next, calculate angle K using the following sum of angles formula

[tex]\angle I + \angle J + \angle K =180[/tex]

Substitute known values

[tex]120 + 59 + \angle K =180[/tex]

[tex]179 + \angle K =180[/tex]

Subtract 179 from both sides

[tex]\angle K =1[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} ij \times \sin(K)[/tex]

So, we have:

[tex]Area = \frac{1}{2} \times 340 \times 337 \times \sin(1)[/tex]

Evaluate

[tex]Area = 999.8[/tex]

Hence, the area of triangle IJK is 999.8 square centimeters

Read more about areas at:

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Answer:

300

Step-by-step explanation:

Answer:

Substitute the 80°F where the F is in the equation. then just put the whole equation into your calculator. I got approximately 26.7.

Answer:

A and C

Step-by-step explanation:

Brainliest?

x+3=14

her number + 3 is the other girsl 14

Answer:

150

Step-by-step explanation:

5×10×3=150 I think that's how you do area I could be wrong if I am then oops

Answer:

zoom in

this is the right answer

don't forget to mark me as brainliest

Answer:

Jamal contribution = Total fee - scholarship & grant - study program earnings - family contribution

Step-by-step explanation:

Let total fee = x

Jamal contribution = x - 8200 - 1900 - 21000

= x - 31100

Her fee above & beyond 31100 will have to be arranged by Jamal's own contribution

Answer:

That would just equal 256.

Hope this helps

Answer:

256

hope it helps...........

The answer is 4,800 square centimeters I believe... Try to check my answer just in case I'm wrong...

Answer:

the exact value is x =1/2 or x=0.5

your welcome!

The exact value is x = 1/2.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given an expression as;

[tex]27^{-1/3} = \frac{9^{1/4} }{3^{r + 1}}[/tex]

Now we can see that

27 = 3³

9 = 3²

Then the power are 3(-1/3) = -1

3(1/4) = 3/4

So we have;

[tex]3^{-1} = \frac{3^{2/4} }{3^{r + 1}}\\\\3^{-1} =3^{1/2 -r - 1} \\\\3^{-1} =3^{1 -2r - 2 /2}\\\\3^{-1} =3^{-2r - 1/2}[/tex]

So,

-2 = -2r - 1

-2r = -1

r = 1/2

More about the Algebra link is given below.

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#SPJ2

Answer:

133°

Step-by-step explanation:

angles on a straight line = 180°

180 - 144 = 36°

angles in a triangle = 180°

36 + 31 = 67

180 - 67 = 113

answer = 113°

Answer:

b

Step-by-step explanation:

Answer:

-27x-41

Step-by-step explanation:

Answer attached.....

Hope it helps:)

Answer:

157 cm^2

Step-by-step explanation:

area = pi r^2 you need half so 1/2 (3.14) (10^2)= 1/2 (3.14)(100), 1/2 (314)=157

Answer:

To find the area break up the shapes:

The rectangle is A = bh which is 7*3 which is 21.

Triangle: A = 1/2(bh)

A=1/2(3*7)

A=1/2(21)

A=10.5

Now add up the areas:

21+10.5

=

31.5

The answer is 31.5 units.

The phase shift is C/B=5/2

We have given that the equation of  the sine wave

[tex]f(x)=sinx\\G(x)=\frac{1}{3} sin(2x-5)+1[/tex]

The formula f(x)=A sin(Bx-C)+D

by comparing the g(x) above formula

Phase shift is C/B

C=5 and B=2

Therefore the phase shift is C/B=5/2

To learn more about the phase shift visit:

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Answer:

5/2

Step-by-step explanation:

Answer:

∠1 and ∠4

Step-by-step explanation:

Answer:

Right

Suffered:

I drew it With no pencil

Answer:

right, it is 9 and 12 so it adds up

Given:

The expression is:

[tex]\dfrac{(-24)^5}{(-24)}[/tex]

To find:

The value of the given expression into a single power.

Solution:

Given that,

[tex]\dfrac{(-24)^5}{(-24)}[/tex]

It can be rewritten as:

[tex]\dfrac{(-24)^5}{(-24)}=(-24)^{5-1}[/tex]       [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]\dfrac{(-24)^5}{(-24)}=(-24)^{4}[/tex]

Therefore, the required expression is single power is [tex](-24)^{4}[/tex].

Answer

6ac−2b−2

Step-by-step explanation:

Let's simplify step-by-step.

4ac+3−2b+2ac−5

=4ac+3+−2b+2ac+−5

Combine Like Terms:

=4ac+3+−2b+2ac+−5

=(4ac+2ac)+(−2b)+(3+−5)

=6ac+−2b+−2

Answer:

11 feet

Step-by-step explanation:

Length of diagonal of square of side a = √2a

Here value of a = 8 feet

Therefore length of diagonal d = √2×8 = 1.414×8 =    11.312 feet

So after rounding to the nearest tenth the length of diagonal becomes 11 feet

Answer:

Mean Absolute Deviation = 5.3333

Step-by-step explanation:

Xmean = 85

MAD = (85 - 85) + (92 - 85) + (88 - 85) + (80 - 85) + (91 - 85) + (74 - 85) /6

         =(0) + (7) + (3) + (5) + (6) + (11) /6

        = 32 /6

Mean Absolute Deviation = 5.3333

Answer:

b =7

Step-by-step explanation:

Answer: 2.10

Step-by-step explanation: 2.10 * 4 + 6

Answer:

42

Step-by-step explanation:

Answer: d

Step-by-step explanation: