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3 years ago

A car travels 120 miles in 3 hours how far will it take to travel 200 miles

Mathematics

1 answer:

leva [86]3 years ago

6 0

Answer:

5 hours

Step-by-step explanation:

Divide 120 by three to figure out the car’s speed which would be 40 mph and divide 200 by his speed to find the time which gives you 5.

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Find the area and circumference of the figure below.

nexus9112 [7]

Answer:

162.12385 cubic inches

Step-by-step explanation:

Assuming finding the area and circumference of the shaded area.

Triangle with 3 sides and 90 degrees on one side, we can use the Pythagorean Theorem to solve for the missing side.

Pythag. Theorem says

a^2 + b^2 = c^2

//a and b are the 2 small sides touching to the 90 degree angle

//^2 means squared, or the number multiplied by itself

(16)^2 +(30)^2 = c^2

16x16 + 30x30 = c^2

256 + 900 = c^2

1156 = c^2

Take the square root of both sides to get rid of (^2) from the right side of the equation.

sqrt(1156) = sqrt(c^2)

34 = c

So the longest side is 34 inches.

Coincidentally, this is the diameter of the Half Circle.

The radius = (diameter/2) = 34/2 = 16 inches

radius = 16 in.

Circumference of a Circle formula:

C = 2*pi*r; pi=3.14; r = radius

But this is a half circle, so C = pi*r = 3.14*16 = 50.2654

Now to find the area its a little more work.

Area of shaded part is equal to

Area of half circle minus area of triangle

Area of Circle: pi*r^2

-->since half circle: Area of half circle is: (pi*r^2)/2

Area of triangle: (base*height)/2: (16*30)/2

A of circle - A of triangle

(3.14*16^2)/2 - (16*30)/2

Area of shaded region = 162.12385

7 0

3 years ago

Express 5.26 x 10^6 in standard form.

Alex

Answer:

5260000x

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please I need like an explanation of how it was done.

a_sh-v [17]

Answer:

the point is (3, 3) . . . . . . y = 3

Step-by-step explanation:

Write the point-slope equation of the line through the point you know. Then evaluate that equation for x=3 to see what the value of y is.

Point-slope form:

y = m(x -h) +k . . . . slope m through point (h, k)

y = -1/2(x -9) +0 . . . . line with slope -1/2 through point (9, 0)

For x=3, the value of y is ...

y = -1/2(3 -9) + 0 = -1/2(-6) = 3

The value of y is 3.

4 0

3 years ago

Read 2 more answers

Question is: Solve -7(x+6)=4(x+6)

Alina [70]

$\huge\boxed{x=-6}$

Hey there! Our goal here is to isolate the variable on one side of the equation.

$\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}$

8 0

3 years ago

Read 2 more answers

Solve for x The value of x is

Varvara68 [4.7K]

Answer:

7x+19 = 11x-89

-19. -19

7x= 11x-108

-11x -11x

-4x=-108

x=27

8 0

3 years ago