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natali 33 [55]
2 years ago
14

Which of the following trigonometric ratios are correct?

Mathematics
1 answer:
notka56 [123]2 years ago
8 0

9514 1404 393

Answer:

  D, F

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you with this. It reminds you ...

  Sin = Opposite/Hypotenus

  sin(40°) = x/b . . . . matches D

  Cos = Adjacent/Hypotenuse

<em>   cos(40°) = a/b . . . . no match</em>

  Tan = Opposite/Adjacent

  tan(40°) = x/a . . . . matches F

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Four less than the square of a number is 0​
marusya05 [52]

Answer:

± 2

Step-by-step explanation:

let the number be n , then

n² - 4 = 0 ( add 4 to both sides )

n² = 4 ( take square root of both sides )

n = ± \sqrt{4} = ± 2

The number is - 2 or 2

5 0
3 years ago
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A literal equation has only one variable. True False
Zanzabum

Answer:False

Step-by-step explanation:

5 0
2 years ago
Write the fractional equivalent (in reduced form) of each number.
garik1379 [7]
0.1 = 1/10 

0.16 = 16/100 = 8/50 = 4/25 

0.6 = 6/10 = 3/5 

0/6 = 6/10 = 3/5 
5 0
3 years ago
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Task 5:
Natasha_Volkova [10]

Answer:

p=18x+4

a=20x^2+17x-63

a=1350

Step-by-step explanation:

Given:

l=5x-7

w=4x+9

Required:

Area of the rectangle=?

Perimeter of the rectangle=?

If x = 9 inches what is the area of the shape=?

Formula:

a=l*w

p=2(l+w)

Solution:

p=2(l+w)

p=2(5x-7)+2(4x+9)

p=10x-14+8x+18

p=10x+8x+18-14

p=18x+4

a=l*w

a=(5x-7)(4x+9)

a=20x^2+45x-28x-63

a=20x^2+17x-63

Area of the shape if x=9in

a=20x^2+17x-63

a=20(81)+17(9)-63

a=1620+153-63

a=1413-63

a=1350

8 0
3 years ago
Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
Free_Kalibri [48]

Answer:

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = \frac{2}{14}

p = \frac{1}{7}

Therefore, equation will be,

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

5 0
3 years ago
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