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liraira [26]
3 years ago
9

SHOW STEPS PLEASE!!!

Mathematics
1 answer:
Sholpan [36]3 years ago
6 0
Tanθ + cotθ = 1/sinθcos<span>θ

since we know that;

tan</span>θ = sinθ/cos<span>θ, and

cot</span>θ = cosθ/sin<span>θ

now when we add tan</span>θ and cot<span>θ and replace their values;

tan</span>θ + cot<span>θ=sin</span>θ/cosθ + cosθ/sin<span>θ

</span>For a common denominator to add those two fractions, the obvious choice is sinθ.cosθ , so

tanθ + cotθ = sin²θ/sinθcosθ + cos²θ/sinθcosθ =sin²θ + cos²θ / sinθcosθ

now we can use the identity that;

sin²θ + cos²θ = 1

So,

tanθ + cotθ = 1/sinθcosθ

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When asked to graph the line for y = 2/5x + 3, Mallory drew the line shown.
Helen [10]

Answer:

A

Step-by-step explanation:

Using desmos we can see that the slope is positive and increasing while Mallory made a negative slope.

5 0
3 years ago
The length of a model car is 1/20 of the length of the actual car. If the model. is 8.7 inch long, how long is the actual car? E
madam [21]
This means that if the model is 1 in lengh then th ereal car is 20 times of that or 20 in legnth

so to find the answer, just multiply model by 20
8.7 =model
real=8.7 times 20=174
real car is 174 inches

12 inches=1 foot
conversion factor
1 ft/12in=1=convesion

so
174 times 1/12=14 and 6/12

the answer is 14 feet and 6 inches or 14.5 feet
7 0
3 years ago
Read 2 more answers
Which equation results from taking the square root of both sides of (x + 9)2 = 25?
Alex_Xolod [135]

Answer:

√2.37+ 3 √9 = √5. 3 is the last one

x+9 =+25

Step-by-step explanation:

(x+9)2= 25   This means x= 3.5 and the square root of x = √3.5 = 1.87 square root of 9 x 2 = √18 =4.24

We can also see 18+7 =25

√5.65 √5

this is 25 = 5 so it's the last one.

as 2.37+ 3 √9 = √5. 3

6 0
3 years ago
Read 2 more answers
Suppose that the handedness of the last fifteen U.S. presidents is as follows:40% were left-handed (L)47% were Democrats (D)If a
lesantik [10]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Probability that they were left handed P(L)= 40%

Probability that they were Democrats P(D)= 47%

So, P(L∩D) = 135 = 0.13

Now, to check whether they are independent or not.

We will find P(L) × P(D) is given by

P(L)\times P(D)=0.47\times 0.40=0.188

Since P(L) . P(D) ≠ P(L∩D)

So, they are not independent.

Hence, Option 'c' is correct.

3 0
3 years ago
Someone please help me with this and explain it please.
Yuki888 [10]
<h3>Answer: Choice D) \sqrt{34}, 6, 2\pi, \sqrt{42}</h3>

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

Explanation:

Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)

  • 2pi = 6.28
  • sqrt(42) = 6.48
  • sqrt(34) = 5.83

We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48

So the order of the terms, from smallest to largest, is \sqrt{34}, 6, 2\pi, \sqrt{42}

5 0
3 years ago
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