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sleet_krkn [62]
3 years ago
6

Verify this identity: secx-cosx = 1-cos^2x/cosx

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Step-by-step explanation:

sec x − cos x

Secant is the inverse of cosine:

(1 / cos x) − cos x

Find the common denominator:

(1 / cos x) − (cos² x / cos x)

Subtract:

(1 − cos² x) / cos x

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Victor writes 10 more poems than ann.Ann writes 10 poems. How many poems does victor writes?
tino4ka555 [31]

Victor writes 20 poems

<em><u>Solution:</u></em>

Given that victor writes 10 more poems than Ann

Also given that Ann writes 10 poems

To find: number of poems written by Victor

<em><u>From given information, we can frame a equation as:</u></em>

number of poems written by Victor = 10 more poems than Ann

number of poems written by Victor = 10 + number of poems written by Ann

Substituting the given , number of poems written by Ann = 10 , we get,

number of poems written by Victor = 10 + 10 = 20

Thus victor writes 20 poems

3 0
3 years ago
Read 2 more answers
A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x. Find the height of t
weqwewe [10]
V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y

V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h

V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y


7 0
3 years ago
Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?
Tamiku [17]
100miles in 2hrs
650miles in x hrs

If you think of it 650/100 = 6.5

So the distance is 6.5 times

So the time is 6.5 times 2hrs

=13 hrs total
3 0
3 years ago
How much of the circle is shaded? Write your answer as a fraction in simplest form
Valentin [98]

Answer:

11/20

Step-by-step explanation:

Finding the common denominator, which is 20, we convert 1/5 into 4/20 and 1/4 into 5/20. Adding those up, the remainder when subtracted from 1, the total, is 11/20.

8 0
2 years ago
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Anit [1.1K]

Answer:

Same side: 4, 1.5, 5/3, 0.2

Opposite side: -5, -1/4

Step-by-step explanation:

We know that dilation caused by a positive factor leads to the object being on the same side and dilation caused by a negative factor leads to the object being on the opposite side. Therefore, the dilation caused by positive numbers 4, 1.5, 5/3, 0.2 will lead to object being on the same side. And dilation caused by a negative numbers -5 and -1/4 will lead to object being reflected to the opposite side

3 0
3 years ago
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