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tester [92]
2 years ago
8

Please show work! Factor sin^2Θ + sin^2Θ cos^2Θ

Mathematics
1 answer:
ivanzaharov [21]2 years ago
5 0

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

<h3>How to simplify Trigonometric Functions?</h3>

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

Read more about Trigonometric functions at; brainly.com/question/6904750

#SPJ1

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Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of pi.
IRINA_888 [86]

Step-by-step explanation:

step 1. The circumference (c) of a circle is the diameter of a circle x pi. c = d(pi) = 14pi.

step 2. The area (A) of a circle is the radius of a circle squared x pi. The radius of a circle is 1/2 x the diameter. A = (14/2)^2(pi) = 49pi.

4 0
3 years ago
In a room, there are 450 students of which 20% are girls. A group of students have mobile phones with them, of which 40% are gir
andrew-mc [135]

Answer:

216 boys

Step-by-step explanation:

450 students: 20% girls, 80% boys

450*20%=90 girls

450*80%=360 boys

Students having mobile phones: 40% (OF THE 90) girls, 60% (OF THE 360) boys

90*40%=36 girls

360*60%=216 boys

[We honestly don't need to care about the girls without mobile phones as they are only asking how many boys have mobile phones]


4 0
3 years ago
Read 2 more answers
one apartment costs $1000 a month with deposit off $1500. Another apartment costs 1175 a month with a 1200 deposit. how many mon
kkurt [141]
3 or 4 because if you add 1000 and 1500,1175 and 1200.

8 0
3 years ago
When 43,55 and 67 are divided by a certain number, the remainder is 7 in each case. Find the number? ​
siniylev [52]

Answer:

12

Step-by-step explanation:

First subtract 7 from 43, 55 and 67

43 - 7 = 36 ;  55 - 7 = 48  ;  67 - 7 = 60

Now find the GCF of 36 , 48 , 60

36 = 2 * 2 * 3 * 3

48 = 2 * 2 * *2*2 * 3

60 = 2 * 2 * 3 * 5

GCF = 2 * 2 * 3 = 12

The required number is 12

When you divide 43 by 12, the remainder is 7.

When you divide 55 by 12, the remainder is 7

When you divide 67 by 12, the remainder is 7

5 0
2 years ago
Add. -85.53+(-41.00) <br><br> A. -126.53<br> B. -44.47<br> C. 44.53<br> D. 126.47
Rashid [163]
The correct answer is A
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3 years ago
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