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dlinn [17]
3 years ago
7

I need to simplify sec^2(x)/sec^2(x)-1

Mathematics
1 answer:
frutty [35]3 years ago
5 0
\dfrac{\sec^2x}{\sec^2x-1}=\dfrac{\sec^2x}{\tan^2x}=\dfrac{\frac1{\cos^2x}}{\frac{\sin^2x}{\cos^2x}}=\dfrac1{\sin^2x}=\csc^2x
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ms. James has a 6 square foot bulletin board and a 12 square food bulletin board. She wants to cover both boards with index card
Anon25 [30]

Answer:

<em>She need </em><em>72 </em><em>index cards.</em>

Step-by-step explanation:

Ms. James has a 6 square foot bulletin board and a 12 square food bulletin board and she wants to cover both boards with index cards without gaps or overlaps.

Each index card has an area of \dfrac{1}{4} square foot.

Dividing the area of each board with the area of the index card will yield the the number of cards she needs to cover up completely.

Let us assume T₁ and T₂ are the number of cards she needs to cover 6 square feet food bulletin board and 12 square feet food bulletin board respectively. So

T_1=\dfrac{6}{\frac{1}{4}}=24,\\\\T_2=\dfrac{12}{\frac{1}{4}}=48

Therefore, in total she need 24+48=72 index cards.

7 0
3 years ago
If a =2, find 4a + 18
FinnZ [79.3K]

4×2+18

= 8+18

=26....

answer is 26..

6 0
2 years ago
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The steps to convert to a decimal are shown below:
iragen [17]

Answer:

The actual answer is 9.25

Step-by-step explanation:

The mistake is in Step 4, as <u>4 × 2 = 8</u>, not 6

8 0
2 years ago
Find the equation of this line​
Snowcat [4.5K]
Y=-1/2+1
Hope this helps :)
3 0
3 years ago
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Jake set up a study schedule. The plan called for him to study 1/4 hour, 5/8 hour and 1 hour on Monday Tuesday and Wednesday in
Ludmilka [50]
Each day his study time is increasing. Find a common denominator, in this case 8

1/4 = 2/8
5/8 = 5/8
1 = 8/8

So he went from

2/8 to 5/8 to 8/8 which is an increase of 3/8 each day. If this pattern continues Thursday would be 11/8 and Friday 14/8.

14/8 = 1 6/8 = 1 3/4 hours

(an hour and 45 minutes)
8 0
3 years ago
Read 2 more answers
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