Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 21 gallons of gasoline to travel 399 miles. How many miles can the car travel if it has 28 gallons of gasoline

Answer:

Step-by-step explanation:

The relevant trig relations are ...

  Tan = Opposite/Adjacent

  Sin = Opposite/Hypotenuse

These tell us ...

  tan(43°) = GH/DG

  GH = DG·tan(43°) = (12 cm)·tan(43°) ≈ 11.2 cm

and ...

  sin(HDE) = EH/ED = (11.2 cm)/(12 cm)

  ∠HDE = arcsin(11.2/12) ≈ 68.8°

The length HD can be found from ...

  tan(68.8°) = HE/HD

  HD = HE/tan(68.8°) = (11.2 cm)/tan(68.8°) ≈ 4.3 cm

_____

Additional comments

The values shown in the solution here are rounded according to the problem statement. The values actually used in the calculations are the full-precision calculator values. Rounding is only done on the final answers.

Answer:

1

Step-by-step explanation:

let's substitute the numbers:

[tex]d=\sqrt{[-2-(-3)]^2+(4-4)^2}=\sqrt{(-2+3)^2-0^2}= \sqrt1= 1[/tex]

The value of d if [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex] in [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] is 1.

The distance between the two co-ordinates points can be evaluated by using the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the endpoints.

The given coordinate points are [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex].

Substitute the values of the known parameters in the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] as-

[tex]d=\sqrt{(-2-(-3))^2+(4-4)^2}\\=\sqrt{(-2+3)^2}\\=1[/tex]

Hence, the value of d is 1.

Learn more about the distance between the coordinate points here- https://brainly.com/question/14364020

#SPJ2

Answer:

3x-10=x+15+25

3x-10=x+40

3x-x=40+10

2x=50

x=50/2

x=25

Answer:

2/3

Step-by-step explanation:

You go over 2 and down 3

Answer:

7

Step-by-step explanation:

Assume Stefan won x games,

Marion would win: 5(x-4) games,

5(x-4)= 15

5x-20= 15

5x= 15+20

5x= 35

x= 7.

Answer:

x=0

Step-by-step explanation:

honestly this is just filler no reason to explain it hoenstly

Answer:

..

Step-by-step explanation:

If HV= 12 and we are trying to find UV. We just need to divide by 2 because UV is half. UV=6

Answer:

-20

Step-by-step explanation:

PEMDAS

Answer:

-8

Step-by-step explanation:

The difference between a number P and 6 is -14.

then;

[tex]p - 6 = - 14 \\ p = - 14 + 6 \\ p = - 8[/tex]

The height of the radio station antenna is approximately 116 feet to the nearest foot.

From the diagram in the attached image

[tex]h=\text{the height of the radio station antenna}\\x=\text{the distance from the foot of the radio station antenna to where the man stood at first}[/tex]

we now have the following relationships

[tex]tan64^\circ=\frac{h}{x}\\\\\implies x=\frac{h}{tan64^\circ}[/tex]

and

[tex]tan43^\circ=\frac{h}{68+x}\\\\\implies x=\frac{h}{tan43^\circ}-68[/tex]

we can equate the two relationships to eliminate [tex]x[/tex].

[tex]\frac{h}{tan64^\circ}=\frac{h}{tan43^\circ}-68[/tex]

solving for the height of the radio station antenna, [tex]h[/tex], we get

[tex]h=\frac{68\times tan43^\circ \times tan64^\circ}{tan64^\circ -tan43^\circ}\approx 116ft\text{ (to the nearest foot)}[/tex]

Learn more about angle of elevation here: https://brainly.com/question/12483071

Answer:

Line I and II are perpendicular

Step-by-step explanation:

Parallel is when the slope is the same

Perpendicular is when the slope is the opposite (positive and negative)

Hope this helps!

Answer:

According to me answer is option E

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

equals 1x32 mc2

Step-by-step explanation:

mass–energy equivalence formula E

Answer:

  9.2 units

Step-by-step explanation:

The length of the segment between the points is equal to the difference of their coordinates:

  3.7 -(-5.5) = 3.7 +5.5 = 9.2 . . . units

Answer:

9.2

Step-by-step explanation:

5.5+3.7=9.2

Hope this helps!

Brainliest pls

Have a great day!

Answer:

Step-by-step explanation:

Answer:

55 degrees

Step-by-step explanation:

Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.

So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.

Answer: x is 3

Step-by-step explanation:

6x-5=4x+1

x = 3

Answer:

The degree of a polynomial is the largest exponent in the expression. The degree of the given polynomial is 3.

:)

Hey there!

4x + 1/2 + 2x - 3

COMBINE the LIKE TERMS

= (4x + 2x) + (1/2 - 3)

TRYING to SIMPLIFY THEM

4x + 2x

= 6x

1/2 - 3

= -5/2

ANSWER

6x + (-5/2)

Therefore, your answer should be: 6x + -5/2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Not factorable with rationable numbers

Step-by-step explanation:

You cannot factor this expression with rationable numbers.

Answer:

2 inches per hour

Step-by-step explanation:

The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour

Answer:

Slope = -1

Step-by-step explanation:

7-9/-1+3=-2/2=-1 : Slope Formula

Answer:

35.113 km per hour is the correct answer

Answer:

what is the question?

Step-by-step explanation:

Answer:

x



=4

y=0 and x=4

​

x=  

f

y

​

+4

Step-by-step explanation:

Answer:

90-56= 34

good luck!

Answer:

90-56=34

Step-by-step explanation:

90 degrees minus the given amount of the other degrees will give u the answer 90-56=34