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faust18 [17]
3 years ago
7

The equation sec^2x-1=tan^2 x is an identity. True or false?

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0
The answer i would believe is to be true.

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You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar
Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
13°38'35" to decimal degrees
babymother [125]

divide 35 by 3600

 divide 38 by 60

add them together

35/3600 = 0.009722

38/60=0.6333

0.6333+0.009722 = 0.64305

 so 13.64305 degrees. round answer as necssary

4 0
3 years ago
Read 2 more answers
The blue team walks 5 miles the first hour and 2 miles an hour after that. How far will they walk in 4 hours?
denis-greek [22]

Answer:

  11 miles

Step-by-step explanation:

After the first hour, they walk 3 more hours at 2 miles per hour. So, the total distance is ...

  5 mi + (3 h)(2 mi/h) = 5 mi + 6 mi = 11 mi

The blue team will walk 11 miles in 4 hours.

3 0
3 years ago
Read 2 more answers
What is the probability of getting heads and a b, c, and d
sp2606 [1]
I mean probably of getting head is a half if that's what u mean but what is a,b,c,d
4 0
3 years ago
Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using mathematical evidence or visual models.
d1i1m1o1n [39]

15% of 25 is the greatest of the two.

Answer:

25% of 15 is 3.75

15% of 25 is also 3.75

15 - 3.75 = 11.25

25 - 3.75 =21.25

Compare and then determine.

11.25 < 21.25

8 0
2 years ago
Read 2 more answers
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