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Mila [183]
2 years ago
14

Prove that tan² theta + cot² theta = sec² theta cosec² theta- 2​

Mathematics
1 answer:
wel2 years ago
4 0

Step-by-step explanation:

Tan² theta = sec² theta - 1

Cot² theta = cosec² theta - 1

Tan²+Cot² = sec²-1+cosec²-1

= sec²+cosec²-2

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If a number becomes 2.5 times smaller, by what percent was it decreased?
Gwar [14]

Answer: 40%

Step-by-step explanation: 1 Divided by 2.5 is 0.4, or 40%.

4 0
2 years ago
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Can someone help me correct number 6 please and thank you! Please Explain and Show Your Work!
NNADVOKAT [17]

Answer:

You have your x and y mixed up

Step-by-step explanation:

Look at your table.  You labeled y1 and y2 where the x's are.  y2 = 8, y1 = 4, x2 = 12 and x1 = 6.  The slope then is (8-4)/(12-6) which is 4/6 or 2/3.  You did run over rise instead of rise over run.  Be careful.  I see that a lot when I teach the concept to beginners.  

4 0
3 years ago
To make 4.5 cups of fruity granola, the recipe calls for 1.5 cups of raisins, 1 cup of granola, and 2 cups of blueberries. If yo
Levart [38]

Answer:

you need 6 cups of raisins, 4 cups of granola and 8 cups of blueberries.

Step-by-step explanation:

<u>Step 1: Find how much raisins are needed</u>

<em>For 4.5 cups of fruity granola, we need 1.5 cups of raisins</em>

<em>For 18 cups of fruity granola, we need y cups of raisins</em>

4.5 : 1.5

18 : y

<em>Cross multiply</em>

4.5y = 1.5 x 18

y = 27/4.5

y = 6 cups of raisins

<u>Step 2: Find how much granola is needed</u>

<em>For 4.5 cups of fruity granola, we need 1 cup of granola</em>

<em>For 18 cups of fruity granola, we need y cups of granola</em>

4.5 : 1

18 : y

<em>Cross multiply</em>

4.5y = 18

y = 4 cups of granola

<u>Step 3: Find how much blueberries are needed</u>

<em>For 4.5 cups of fruity granola, we need 2 cups of raisins</em>

<em>For 18 cups of fruity granola, we need y cups of blueberries</em>

4.5 : 2

18 : y

<em>Cross multiply</em>

4.5y = 2 x 18

y = 36/4.5

y = 8 cups of blueberries

Therefore, in order to make 18 cups of fruity granola, you need 6 cups of raisins, 4 cups of granola and 8 cups of blueberries.

5 0
3 years ago
The playing life of a Sunshine radio is normally distributed with mean LaTeX: \muμ = 600 hours and standard deviation LaTeX: \si
Hitman42 [59]

Answer:

The probability that a radio selected at random will last from 600 to 700 hours is 0.3413

Step-by-step explanation:

The playing life of a Sunshine radio is normally distributed

Mean =\mu = 600 hours

Standard deviation =\sigma = 100 hours

We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)

Formula:Z= \frac{x-\mu}{\sigma}

At x = 600

Z= \frac{600-600}{100}

Z=0

P(X

At x = 700

Z= \frac{700-600}{100}

Z=1

P(X

P(600

Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413

8 0
3 years ago
Evaluate the expression | -4| -10| =
Amanda [17]

Answer:

test? is it? if it is i can't tell you

Step-by-step explanation:

5 0
3 years ago
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