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SashulF [63]
3 years ago
9

Answer the following questions using metric conversions.

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

Ok, here is the answers! brainliest pleaseee :D

Step-by-step explanation:

13. - 0.624 kg.   (Explanation: 104 grams per one pack of pop-tarts. 104 g x 6 packs of pop-tarts equal 624 grams in total. 624 grams to kilograms is 0.624 kg.)

14. - No. The tablecloth is 155 cm long. It needs to cover a table that is 1.6 meters long. 155 cm to meters is 1.55 meters. The tablecloth is 0.05 to short to cover the table. 1.6 meters - 1.55 meters = 0.005.

15 - Alex's sister rode the farthest. She rode 1,000 meters farther than Alex. 2 kilometers in meters is 2,000 meters. His sister rode 1,000 meters more than that, 3,000.

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Show that √(1-cos A/1+cos A) =cosec A - cot A​
Gennadij [26K]

Hi there!

\sqrt{\frac{1-cosA}{1+cosA}} =

We can begin by multiplying by its conjugate:

\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}}  = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =

Simplify using the identity:

1 - cos^2A = sin^2A

\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =

Take the square root of the expression:

{\frac{sinA}{1+cosA} =

Multiply again by the conjugate to get a SINGLE term in the denominator:

{\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\

Simplify:

{\frac{sinA(1-cosA)}{1-cos^2A} =

Use the above trig identity one more:

{\frac{sinA(1-cosA)}{sin^2A} =

Cancel out sinA:

{\frac{(1-cosA)}{sinA}  =

Split the fraction into two:

{\frac{1}{sinA}   - \frac{cosA}{sinA} =

Recall:

1/sinA = cscA\\\\cosA/sinA = cotA

Simplify:

\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}

5 0
2 years ago
Quiz
ivanzaharov [21]

Answer: Its A, Your Welcome.

Step-by-step explanation:

4 0
3 years ago
two coins and a number cube are tossed at the same time. what is the approximate possibility that the coins show different sides
Stolb23 [73]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
<span>The results are independent:
P(2 heads) = 1/4
P(roll a 4) = 1/6
</span><span>P(2 heads and a 4) = (1/4)(1/6) = 1/24</span>
6 0
3 years ago
Help me with this one
Cloud [144]
The answer would be, y - 32 + 4y
3 0
3 years ago
Read 2 more answers
Suppose f(x)=x^2. What is the graph of g(x)=1/2f(x)?
sp2606 [1]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph of g(x) is a vertically scaled version of the graph of f(x). The scale factor is 1/2, so vertical height at a given value of x is 1/2 what it is for f(x). This will make the graph appear shorter and fatter than for f(x).

The graph of g(x) is attached.

6 0
3 years ago
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