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katen-ka-za [31]
3 years ago
12

What is the sum of the arithmetic series below?

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

Answer:

Option A, 0

Step-by-step explanation:

-105 +-100 + -95 + -90 +-85 + ... + -5 + 0 + 5+ ... + 85+ 90 +95 + 100 + 105

The answer is 0 because there is the same amount of negative numbers as there is positive.  Therefore, the answer is Option A, 0

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Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

3 0
3 years ago
Answer the question correctly
KatRina [158]

Answer:

1,152 (Yes, I know it seems like a lot but it’s correct)

Step-by-step explanation:

To find this answer, we need to do 32x36

Whenever you have a problem like this, you have to multiply all your different variables/factors in which in this case is 32 and 36

When you do this, you get 1,152 so that’s your answer!

Hope this helps and please award brainliest if possible!

6 0
2 years ago
Read 2 more answers
Identify the vertex<br><br> y= —(x — 6)^2 + 2
alisha [4.7K]
(6,2)


Mark brainliest please

Hope this helps you
8 0
3 years ago
How many minutes are there in a 40 hours week?
Pavel [41]
60 minutes times 40 hours equals 2400 minutes
4 0
3 years ago
Use technology or a z-score table to answer the question.
AlexFokin [52]

Answer:

D. 100

Step-by-step explanation:

1. Find the z-score: 165-176/11.4 = -1.2

2. Find the percentage of the z-score. Here it's 16.85%

3. Because we are searching for the amount of members that weigh MORE than 165 pounds and not LESS, we need to find the greater percentage by subtracting 16.85% from 100% which is 83.15%. This is the percentage of people that weigh more than 165 pounds.

4. Multiply the percentage by the number of members: 83.15%*120 = 99.78

5. Round it to a whole number because someone can't be 0.78 of a person. You get 100 members.

Also, I took the test :)

7 0
3 years ago
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