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zepelin [54]
4 years ago
6

The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. the helicopter flies for

22 hours and uses 1616 gallons of fuel. find the number of gallons of fuel that the helicopter uses to fly for 44 hours.
Mathematics
2 answers:
Anna007 [38]4 years ago
7 0
3232 gallons of fuel are used up

victus00 [196]4 years ago
7 0
Hey You!

To find the answer, you must multiply 1616 by 2:

1616 × 2 = 3,232

The helicopter uses 3,232 gallons of fuel.
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Pls help trig question!!
s2008m [1.1K]

4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x  -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R}  ~\text{Since}~ -1\leq \sin x \leq 1\\

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5 0
2 years ago
A cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. Write an equation for the
miskamm [114]

The equation for monthly payment is b = 49.05M.

<u>SOLUTION:</u>

Given, a cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. We have to write an equation for the monthly payment b when M minutes of long distance service are used.

Now, given that,

\begin{array}{l}{\text { Monthly payment = } \$ 49 \text { per minute plus five cents per minute of long distance }} \\\\ {\Rightarrow \$ 49 \times \text { number of minutes }+\$ 0.05 \times \text { number of minutes of long distance }} \\\\ {\Rightarrow \mathrm{b}=49 \times \mathrm{M}+0.05 \times \mathrm{M} \rightarrow \mathrm{b}=49 \mathrm{M}+0.05 \mathrm{M} \rightarrow \mathrm{b}=49.05 \mathrm{M}}\end{array}

<em>Equation:</em>

An equation is a statement that the values of two mathematical expressions are equal <em>(indicated by the sign =)</em>

5 0
3 years ago
List all x intercepts for y= -cos(1/2x + 1/5 pi) on the interval [-2/5pi,4pi]
Dahasolnce [82]
- cos ( 1/2 x + 1/5 π ) = 0 ( and because if cos α = 0, α= π/2 + k π, k ∈ Z )
1/2 x + π/5 = π/2 + k π,    k ∈ Z
1/2 x = π/2 - π/5 + k π  / * 2
x = π - 2π/5 + 2 k π
x = 3/5 π + 2 k π = 0.6 π + 2 k π
Answer:
If k = 0:  x 1 = 0.6 π = 3π/5
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3 0
3 years ago
Read 2 more answers
10 POINTS NEED HELP ASAP
Anni [7]

Answer:

I believe it is D

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height o
sveticcg [70]

Answer:

28.5 feet

Step-by-step explanation:

A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height of the water tower?

The formula is given as:

Height of the tower/Shadow of the tower = Height of the tree/Shadow of the tree

Let the Height of the tower = x

Hence:

x/24 = 9.5/8

Cross Multiply

8x = 24 × 9.5

x = 24 × 9.5/8

x = 28.5 feet

Therefore, the height of the water tower is 28.5 feet

6 0
2 years ago
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