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Lubov Fominskaja [6]
2 years ago
13

I need help with this pls! 15 points!

Mathematics
1 answer:
OLga [1]2 years ago
8 0

Answer:

d

Step-by-step explanation:

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Help me solve,Brainlist for first to answer
Vanyuwa [196]

Answer:

(i) the other two sides are 6 and  6\sqrt{2}

(ii) the other two sides are   \frac{4}{3} and                                         \frac{8}{3}

Step-by-step explanation:

(i)  Sine: sin(θ) = Opposite ÷ Hypotenuse

    Cosine: cos(θ) = Adjacent  ÷ Hypotenuse

    Tangent: tan(θ) = Opposite ÷ Adjacent

Here adjacent side = 6

opposite side = d

angle = 45°

other angles are 90° and 45°

tan (45) = Opposite ÷ Adjacent

 1 = d ÷ 6

∴ d = 6 × 1 = 6

so opposite side = 6

Hypotenuse ² = opposite side ² + adjacent side²

                      =  6² + 6²

                      = 36 + 36

                       = 72

hypotenuse = \sqrt{72}

                     = 6\sqrt{2}

the other two sides are 6 and  6\sqrt{2}

(ii) here adjacent side = 4√3

angle = 30°

other angles are 90° and 60°

opposite side = d

tan ( 30) = opposite ÷ adjacent

 \frac{1}{\sqrt{3}} = d ÷ 4√3

\frac{1}{\sqrt{3}} = d × (\frac{\sqrt{3}}{4})

                       3 d = 4

therefore d = \frac{4}{3}

therefore opposite side = \frac{4}{3}

Hypotenuse ² = opposite side ² + adjacent side²

                        =( \frac{4}{3})² +( \frac{4}{\sqrt{3}})²

                        = \frac{64}{9}

therefore hypotenuse = \sqrt{\frac{64}{9}}

                                     =\frac{8}{3}

the other two sides are   \frac{4}{3} and                                    \frac{8}{3}

7 0
3 years ago
Hhhhhhhheeeeeeeeeellllllllllpppppppppp
juin [17]

answer: d

explantion :

Factor the numerator and denominator and cancel the common factors.

3 0
2 years ago
If f(x) 3 x-1+ 4 and g(x) 4x-7 what is (f-g)(x)?
andre [41]
Hello : 
<span>If f(x)=  3 ^x-1+ 4 and g(x) = 4x-7
 (f-g)(x) = f(x) - g(x)= </span>3 ^x-1+ 4  - (4x - 7) 
(f-g)(x) =3 ^x-1-4x +11.....( answer : a)

5 0
3 years ago
Read 2 more answers
Find the equation of a line that passes the points (5, -9) and (0, -3)
kobusy [5.1K]

Answer:

y = -6/5x - 3

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

<u>Step 1:  Find Slope</u>

m = \frac{y2-y1}{x2-x1}

m = \frac{-3 - (-9)}{0 - 5}

m = \frac{-3 + 9}{-5}

m = \frac{6}{-5}

m = \frac{-6}{5}

<u>Step 2:  Plug into Point Slope Form</u>

(y - (-3)) = -6/5(x - 0)

y + 3 - 3 = -6/5x - 3

y = -6/5x - 3

Answer:  y = -6/5x - 3

5 0
3 years ago
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Iron has a density of 7.9 g/cm³. Gold has a density of 19.3 g/cm³.
alexandr402 [8]
Density = m/v
3.86kg=3860g
d= 3860/200
= 19.3g/cm^3
therefore it is gold.
7 0
1 year ago
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