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k0ka [10]
2 years ago
5

Arianna cycles for 3 hours at a speed of 40 mph. what distance did she travel

Mathematics
2 answers:
Sergeu [11.5K]2 years ago
7 0

Answer:

Q) arianna cycles for 3 hours at a speed of 40 mph. what distance did she travel

Ans) 120

Step-by-step explanation:

she goes 40 mph.

40 mph for the first hour,

40 mph for the second,

40 mph for the third

It means 3 * 40 mph = 120 miles

Hope this helps.. <em>!</em>

Phantasy [73]2 years ago
5 0

40 × 3 = 120 miles

that's it

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Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
natta225 [31]

Answer:

Correct answer is:

The transformation was a 180° rotation about the origin.

Step-by-step explanation:

Given the triangle RST formed by points:

R (1, 1),\\S (3, 1)\ and\\T (1, 6)

is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :

R' (-1, -1),\\S' (-3, -1)\ and\\T' (-1, -6)

Please refer to the attached image for the given dimensions and coordinates.

It is clearly visible that:

The given triangle RST has coordinates in first quadrant.

and the resulting coordinates R'S'T' are in third quadrant.

The rotation of angle from 1st quadrant to 2nd quadrant is 90^\circ and

The rotation of angle from 2nd quadrant to 3rd quadrant is 90^\circ.

<em></em>\therefore<em> total rotation is </em>180^\circ.

8 0
3 years ago
What is the substitution for 4x+6y=332 &amp; x+y=10
Elodia [21]
X+y=10, x=10-y
4(10-y)+6y=332
solve the next parts yourself 
Substitution is to use one variable to express another variable in order to eliminate one variable in the original equation
6 0
3 years ago
Circle R has equation
Rudiy27

Answer:

The center is (-10,10)  and the radius is 4sqrt(3)

Step-by-step explanation:

(x + 10)^2 + (y - 10)^2 = 48

We can write the equation of a circle as

(x -h)^2 + (y - k)^2 = r^2  where (h,k) is the center and r is the radius

(x-  -10)^2 + (y - 10)^2 = (sqrt(16*3) )^2

(x-  -10)^2 + (y - 10)^2 = (4sqrt(3)) ^2

The center is (-10,10)  and the radius is 4sqrt(3)

5 0
3 years ago
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:
Alex

Hey there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

  • Subtract 14 from both sides

Goal:

  • To find out the value of x

Subtract 14:

x+14-14=63-14

the 14's on the left cancel:

x=49

Hence, the answer is

\boxed{\boxed{\bold{x=49}}}

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

\rule{200}{2}

7 0
2 years ago
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