A certain hybrid car with a 16 gallon gas tank can travel 35 miles on battery alone and then it uses its gas. The car can then travel 45 miles per gallon of gas used. Assume the car starts with a full tank of gas. Fill in the missing values.

When sum of two angles is 90°, then each of those two angles will be considered to be the complementary angle of each other.Example : 60° and 30° are two angles, and their sum is 90°. So, 60° and 30° are complementary angles.

[tex]\qquad[/tex]____________________

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x\ +\ x\ +\ 13.8°\ =\ 90⁰} }[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x + 13.8° = 90° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 90° - 13.8° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 76.2° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel{\dfrac{76.2°}{2}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = 38.1° }[/tex]

Then –

[tex]\qquad[/tex][tex] \bf \longrightarrow x +13.8° [/tex]

[tex]\qquad[/tex][tex] \tt \longrightarrow 38.1° + 13.8° [/tex]

[tex]\qquad[/tex][tex] \tt \longrightarrow 51.9° [/tex]

[tex]\qquad[/tex]______________________

Answer:

25

Step-by-step explanation:

At x = 10 and 31 the value of the function h(x) is greater than g(x) thus options (A) and (D) are correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given graph of the function,

At x = 10 the h(x) > g(x)

At x = 31 the h(x) > g(x)

Hence "The value of the function h(x) is bigger than g(x) at x = 10 and 31".

For more about the function,

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Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = [tex]\sqrt{400 - b^2}[/tex]

A = bh

A = b[tex]\sqrt{400 - b^2}[/tex]

Area will be maximized when the derivative is set to zero

           dA/db = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

                   0 = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

b²/[tex]\sqrt{400 - b^2}[/tex] =  [tex]\sqrt{400 - b^2}[/tex]

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = [tex]\sqrt{200}[/tex]

h = [tex]\sqrt{400 - b^2}[/tex]

h = [tex]\sqrt{400 - \sqrt{200}^2 }[/tex]

h = [tex]\sqrt{200}[/tex]

A = bh

A =  [tex]\sqrt{200}[/tex]•[tex]\sqrt{200}[/tex]

A = 200 units²

Answer:

Step-by-step explanation:

P = (-4, 3)

Reflecting across the y axis negates the x value

P₁ = (4, 3)

Reflecting across the x axis negates the y value

P' = (4, -3)

option D

Answer: 100

Step-by-step explanation:

[tex]\frac{90+100+110}{3}=\boxed{100}[/tex]

Answer:

10x−2y

Step-by-step explanation:

Just ask!

Hope this helps. :)

[tex] \: \: \: \: \: \: [/tex]

[tex]10x - 2y[/tex]

Step-by-step explanation:

[tex]8x - 2y + x + x[/tex]

[tex] = \: \: \: \: 10x - 2y[/tex]

Answer:

y = 40 , 32 , 56 , -32 , -72

Step-by-step explanation:

Plug your x into your equation for the answer.

Brainliest would be appreciated. :-)

Answer:

A is correct

Step-by-step explanation:

Answer: C. -12 - 3 + 9

Step-by-step explanation:

-12 because the fish are 12 m below the ocean.

-3 because the fish swim down.

+9 because the fish swim up.

Find number of miles driven in one hour:

144 miles / 2 1/4 hours = 64 miles per hour

Multiply by 6 hours:

64 x 6 = 384 miles

Answer: 384 miles

Answer:

impossible

Step-by-step explanation:

a cube with faces labeled 1-6 does not have an odd number greater than 5

Answer:

[tex]x=-2,y=4[/tex]

Step-by-step explanation:

[tex]y=-x^2-3x+2[/tex]

[tex]y=x+6[/tex]

[tex]x+6=-x^2-3x+2[/tex]

[tex]x^2+x+6=-3x+2[/tex]

[tex]x^2+4x+6=2[/tex]

[tex]x^2+4x+4=0[/tex]

[tex](x+2)(x+2)=0[/tex]

[tex]x=-2[/tex]

[tex]y=(-2)+6=4[/tex]

Answer:

[tex]2916^3\\[/tex]

Step-by-step explanation:

As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]

But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]

And the radius is 9 half of Diameter

We would write it like this

=  [tex]\frac{4}{3}3\cdot 9^3[/tex]

Then when we solve it would become [tex]2916^3\\[/tex]

I hope this helps :)

Answer: 1 in 8

Step-by-step explanation:

Answer:

The first graph.

Step-by-step explanation:

You can see on the first graph that all of the y values and x values add up with what you need.

Answer:

2nd answer choice

Step-by-step explanation:

We want to know which one does not have a two digit quotient, or answer. Let us use guess and check since there are only 4 options.

Option 1:

519/6=86 R3

This answer is wrong because it has a two digit quotient

Option 2:

915/7=130 R5

This answer is correct since it has a three digit quotient, but let's find the rest

Option 3:

439/7=62 R5

This answer is wrong because it has a two digit quotient

Option 4:

812/9=90 R2

This answer is wrong because it has a two digit quotient

Therefore option 2 is correct

I will like to know what you need help with?

Answer:10.9

Step-by-step explanation:

Answer:

He is incorrect. He actually got an 80%

Step-by-step explanation:

[tex]\frac{8}{10}[/tex] = 80%

I hope this helps!

Answer:

Step-by-step explanation:

A = 3(6) + 2(5 + 3 + 2) = 38 m²

Answer:

so its 4 just bc

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

5x + 40 + 2(2x + 20) + x = 360

10x + 80 = 360

10x = 280

x = 28

5x + 40 =? 180

140 + 40 =? 180

180 = 180

Answer:

I think the answer is 21.

Step-by-step explanation:

So, there are 5 spins for 3 levels + 2 spins for another 3 levels. This would be 5(3)+2(3)

15+6

21

Answer: there is nothing here with the info i need 2 anwser this question srry.

Step-by-step explanation:

Answer:

i think it is 65

Step-by-step explanation:

the 4th cube number is 64 and the first square number is 1 64+1=65

however if you use the first square number as 4 then it is 68

Step-by-step explanation:

Please this is a wrong question. If you mean square root of 100 then it's 10. As for -100, it's an error.

Step-by-step explanation:

sum was the first name of integral

and the median is something in the middle

for example :

A . B . C

the median is B

Answer: $2.67

Step-by-step explanation:

$8.90 - $6.23 = $2.67

Brainliest? Im just trying to get to a higher rank

[tex]5x+3y = 18\\\\\implies 3y = 18 -5x\\\\\implies y = \dfrac 13(18-5x) = 6 - \dfrac 53 x[/tex]

Answer:

y=18-5x/3

Step-by-step explanation:

Hope this helps~

Have a great day

Zero

Answer:

725.623

Step-by-step explanation:

547.40:?

43 :57

?=547.40×57÷43