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tester [92]
3 years ago
13

Simplify 5^ 3log(5)^6

Mathematics
1 answer:
miskamm [114]3 years ago
6 0
If you simplify 5^3log(5)^6 then it's 14.5767681355.
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What the correct answer do not want the wrong answer please
Crank

Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

5 0
3 years ago
Cheyenne ran a 5.6-kilometer race in 40 minutes. What was her speed in kilometers per hour? A. 224 B. 8.4 C. 7.1 D. 0.14
xz_007 [3.2K]
Hey there! :D

Let's find what Cheyenne runs in 10 minutes. 

Divide 5.6 by 4. 

5.6/4= 1.4

Multiply that by 6. (there are 60 minutes in an hour)

1.4*6= 8.4

"B" is the answer.

I hope this helps!
~kaikers
8 0
3 years ago
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
valentina_108 [34]

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

3 0
3 years ago
How many times does the average adult human heart beat in 1 hour
Alenkasestr [34]
4,200 beats per hour
7 0
3 years ago
2x + y ≤ 2
Ganezh [65]

The graph is attached with the answer.

<h3>What is an Inequality ?</h3>

When two algebraic expressions are equated using an inequality operator , The statement formed is called In equality.

The given Inequality is 2x + y ≤ 2

in slope intercept form can be written as

y ≤  -2x +2 , here slope is -2 and intercept is 2

As an equation it will be

y = -2x +2

x         y

0 ,       2

1 ,       0

2         -2

The graph is plotted

The area is shaded and the test for the origin is applied , and it lies in the shaded region.

To know more about Inequality

brainly.com/question/20383699

#SPJ1

4 0
2 years ago
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