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iragen [17]
3 years ago
9

(4x + 11)° (5.6 - 10)​

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0
10.6x …………………………………………
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A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant
Serjik [45]
We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)

Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft

Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
8 0
3 years ago
What is 9 1/2 - 5 7/12 =​
Soloha48 [4]

Answer:

47/12, or 3 11/12

Step-by-step explanation:

9 1/2 - 5 7/12 > convert to improper fractions

19/2 - 67/12

make same denominator (12)

19/2 * 6 = 114/12

114/12 - 67/12 = 47/12

7 0
3 years ago
Read 2 more answers
More math sorry. But I honestly don’t know any of these
DIA [1.3K]

Answer: A

Step-by-step explanation:

The main parent functions are x, and x raised to the power of something (examples: x^2, x^3, x^4, etc)

8 0
2 years ago
Composition of functions Find g (f(x)) for the following problems
beks73 [17]

1.

f(x)=-3x\qquad g(x)=5x-6\\\\g(f(x))=5(-3x)-6=\boxed{-15x-6}

2.

f(x)=x-6\qquad g(x)=x^2+6x-2\\\\g(f(x))=(x-6)^2+6(x-6)-2=x^2-12x+36+6x-36-2=\\\\=\boxed{x^2-6x-2}

3.

f(x)=4x+3\qquad g(x)=2x^2-x+1\\\\g(f(x))=2(4x+3)^2-(4x+3)+1=2(16x^2+24x+9)-4x-3+1=\\\\=32x^2+48x+18-4x-3+1=\boxed{32x^2+44x+16}

4.

f(x)=2x^2\qquad g(x)=8x^2+3x\\\\g(f(x))=8(2x^2)^2+3(2x^2)=8\cdot4x^4+6x^2=\boxed{32x^4+6x^2}

7 0
3 years ago
The function f(3) = 50.000(0.975)", where x represents the underwater
valentina_108 [34]

9514 1404 393

Answer:

  316 lumens/m²

Step-by-step explanation:

We assume your intensity function is ...

  f(x) = 50,000(0.975^x) . . . . x meters below the surface

__

Use 200 for x and do the arithmetic.

  f(200) = 50,000(0.975^200) ≈ 316 . . . . lumens/m²

6 0
3 years ago
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