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Bogdan [553]
3 years ago
14

How do I solve 10p+5=18p-6/2

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0
<span>10p+5=18p-6/2 
10p + 5 = 18p -3 
10p - 18 p = -3 -5
-8p = -8
p = -8/-8
p =1</span>
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Which statements are true? Select all that apply.
AveGali [126]

cosθ = cotθ/cscθ is a true statement. The answer is option B

<h3>How to determine which of the trigonometric statements are true?</h3>

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles

A. tan²θ = 1 - sec²θ

tan²θ = 1 - sec²θ  

tan²θ = 1 - 1/cos²θ               (Note: sec²θ  = 1/cos²θ)

tan²θ = (cos²θ- 1)/cos²θ

tan²θ =  -sin²θ/cos²θ            (Note: cos²θ- 1  =  -sin²θ)

tan²θ = -tan²θ

This statement is not true

B. cosθ = cotθ/cscθ

cosθ = cotθ/cscθ

cosθ = (1/tanθ) / (1/sinθ)

cosθ = (cosθ/sinθ).sinθ

cosθ = cosθ

This statement is true

C. 1/sec²θ   = sin²θ + 1  

1/sec²θ   = 1/(1/cos²θ)

1/sec²θ  = cos²θ

1/sec²θ  = 1 - sin²θ

This statement is not true

D. sec²θ - 1 = 1/cot²θ  

sec²θ - 1 = 1/cos²θ - 1

sec²θ - 1 = (1-cos²θ)/cos²θ

sec²θ - 1 = sin²θ/cos²θ

sec²θ - 1 = tan²θ

This statement is not true

E. sinθ cscθ  = tan θ  

sinθ cscθ  = tan θ

sinθ cscθ = sinθ (1/sinθ)

sinθ cscθ = 1  

This statement is not true

Therefore, the true statement is cosθ = cotθ/cscθ

Learn more about Trigonometry on:

brainly.com/question/29529966

#SPJ1

7 0
2 years ago
Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.
Anastaziya [24]

The simplification of the given expression (4-5i)(2+6i)-(3-2i), we get -30i^2+16i+5.

Given expression is:

  • (4-5i)(2+6i)-(3-2i)

By applying the multiplication, we get

→ (8-10i+24i-30i^2)-(3-2i)

By multiplying the (-) sign into the bracket, we get

→ 8-10i+24i-30i^2-3+2i

→ 5+16i-30i^2

By arranging the terms, we get

→ -30i^2+16i+5

Thus the answer above is right.

Learn more:

brainly.com/question/19593573

4 0
3 years ago
Read 2 more answers
Through: (-5, -5), slope=2/5
kakasveta [241]

For this case we have that by definition, the equation of a line in the slope-intersection form is:

y = mx + b

Where:

m: It is the slope

b: It is the cut point with the y axis

The slope is: m = \frac {2} {5}

Thus, the equation is of the form:

y = \frac {2} {5} x + b

We substitute the given point and find "b":

-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3

Finally, the equation is:

y = \frac {2} {5} x-3

Answer:

y = \frac {2} {5} x-3

4 0
3 years ago
Is a diamond a quadrilateral? Parallelogram? Rhombus? Rectangle? Square? Trapezoid? List the applies
Rama09 [41]

Answer:

A diamond is only a quadrilateral and square.

Step-by-step explanation:

3 0
3 years ago
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
inn [45]

Answer:

Step-by-step explanation:

1.68/6=0.28 per pencil in pack 1

2.34/9 =0.26 per pencil in pack 2

So pack 2 is better in terms of Maths

But in business, people prefer pack 1

8 0
3 years ago
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