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3 years ago

Which statement is correct?

Mathematics

1 answer:

notsponge [240]3 years ago

7 0

Answer:

B. Cosecant is the reciprocal of sine

Step-by-step explanation:

Well, this is where you have to remember your reciprocal identities in your trigonometric identities!

So:

- Cosecant is the reciprocal of sine

- Secant is the reciprocal of cosine

- Cotangent is the reciprocal of tangent

How I remember them is just the co is with the non-co (cosecant with sine (no co there) and cosine with secant. Tangent with cotangent is pretty easy to remember.)

I'll attach a picture for trig identities! Let me know if you have any further questions :)

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Suppose f(x) = x^2 and

SpyIntel [72]

Given:

The two functions are:

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

$g(x)=f(kx)$ ...(i)

If $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{k}$ .

If $k>1$ , the function f(x) is horizontally compressed by factor $\dfrac{1}{k}$ .

We have,

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

Using these functions, we get

$g(x)=f\left(\dfrac{1}{3}x\right)$ ...(ii)

On comparing (i) and (ii), we get

$k=\dfrac{1}{3}$

Since $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{\frac{1}{3}}=3$ .

Hence, the correct option is D.

5 0

3 years ago

Area addition and subtraction

telo118 [61]

Answer:Area of the shaded region is 73.6 cm^2

Step-by-step explanation:

The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees

Area of a sector is expressed as

Area of sector = #/360 × πr^2

# = 280

r = 5 cm

Area of sector = 280/360 × 3.14 × 5^2

Area of sector = 61.06 cm^2

Area of the triangle is expressed as

1/2bh = 1/2 × 5 × 5 = 12.5

Area of the shaded region = 61.06 +

12.5 = 73.6

7 0

3 years ago

Write the number 560 in scientific notation.

iren [92.7K]

Answer:

5.6 x 10 2

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The boat rental costs $1.50 for every 15 minutes.

dem82 [27]

Answer:they would pay a total amount of $9

Step-by-step explanation:

Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The number of hours for which they rented the boat would be

11:45 - 10:15 = 1 hour 30 minutes = 1.5 hours.

Converting to minutes, It becomes

60 + 30 = 90 minutes.

The boat rental costs $1.50 for every 15 minutes. Therefore, the total amount of money that they would pay is

90/15 × 1.5 = $9

8 0

3 years ago

Darlene Fine wants to have at least $50,000 in her savings account in 10 years. If her account pays 3.6% interest compounded ann

marshall27 [118]

In this problem the question asked is what principal should be invested on a rate of interest of 3.6% for 10 years to get the totals amount as 50000$
the formula for compound interest is
A=P*(1+R/100)^T
we shall replace the formula
50000=X*(1+3.6/100)^10
50000=x*(100/100+3.6/100)^10
50000=x*(103.6/100)^10
50000=X*(1.036)^10
50000=1.4242x
50000/1.4242=X
35107.42=X
hope u found this useful
feel free to check
pls out this as a brainliest answer please

6 0

3 years ago