Answer: Variables

F and C are placeholders for numbers. They are called variables because they are allowed to vary, or change. If you change C then it affects F, and vice versa. If the values for the placeholders is not allowed to change, yet it holds a number, then it is considered a constant. In this case, we don't have constants or else the formula isn't too useful.

3 0

3 years ago

One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?

Olenka [21]

Answer:

1m = 100 cm

First sprinter stride is 120 cm. Steps he will take

= 100/1.2 = 83 1/3 steps

Second sprinter takes a stride of 75 cm

= 100/0.75 = 133 1/3 steps

3 0

3 years ago

(10.02)

melisa1 [442]

Answer:

$sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}$

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

$Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}$

Therefore:

$sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}$

$cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}$

$Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}$

4 0

3 years ago

Simplify the expression below.

natita [175]

Answer:

3m - 8

Step-by-step explanation:

Step by Step:

Equation= 6m³ - 16m² + 15m - 40/ 2m² + 5

Factor out 2m² from 6m³ - 16m²:

Factor out 5 from expression:

2m²(3m - 8) + 5(3m - 8)/2m² + 5

Factor out 3m - 8:

(3m - 8)(2m² + 5)/2m² + 5

Rude the fraction with 2m² + 5:

3m - 8 is the answer

I hope this helped!

3 0

3 years ago