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kozerog [31]
3 years ago
12

Write the trigonometric expression in terms of sine and cosine, and then simplify.

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0
Hello,

tan t /(sec t -cos t)= sin t/(cos t *(1/cos t -cos t))
=sin t/(cos t*(1-cos ²t)/cos t))
=sin t/sin² t=1/sin t [or=cosec t.]

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The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height
Burka [1]

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = \frac{1}{2} x base x height

   From the problem,

        base  = \frac{1}{3} x height

let the base  = b

            height  = h

         b =  \frac{1}{3}h

          h = 3b

Input into the formula of area;

       24  =  \frac{1}{2} x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in

6 0
3 years ago
5/2+18/5+11/4 what is the answer for this question​
Likurg_2 [28]

Answer:

Step-by-step explanation:

basicallyi you want to find a common denominator before you add them up. the common denominator in this case would be 20, since it's the first common multiple all of them share

50/20 plus 72/20 plus 55/20

177/20 would be your answer

3 0
3 years ago
Read 2 more answers
15% of R560 - 15% of R500 is:​
Dahasolnce [82]

15% of R560 - 15% of R500

=> 0.15 × 560 – 0.15 × 500

=> 0.15 ( 560–500)

=> 0.15 × 60

=> Rs. 9

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

8 0
2 years ago
The average number of Saturday night shootings is 5 a night. What’s the chance that there will be a need for exactly 3 shootings
pishuonlain [190]

Answer:

0.14

Step-by-step explanation:

Using the poisson probability relation :

P(x = x) = (λ^x * e^-λ) ÷ x!

From the question ; mean, λ = 5 ; x = 3

Hence,

P(x = 3) = (5^3 * e^-5) ÷ 3!

P(x = 3) = (125 * 0.0067379) / 6

P(x = 3) = 0.8422375 / 6

P(x = 3) = 0.140

5 0
2 years ago
Change 3 out of 10 to a percentage
Nana76 [90]

Answer:

To convert fraction to decimal, divide 3/10, which would give you . 3 which is already a decimal. To convert decimal to percent, multiply by 100 which would give you 30, hence 30%

8 0
3 years ago
Read 2 more answers
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