Answer:
5:7
Step-by-step explanation:
5:7
For big circle the diameter is 10 so the radius is 5. Use the equation for the area of a circle pi r^2.
Pi is 3.14 as said in the question.
So 3.14 x 5^2 or 25 x 3.14=78.5
For smaller circle, diameter is 6cm so the radius is 3.
Using the same area of a circle equation it would equal 3.14 x 3^2 or 9 x 3.14=28.26
Take 28.26 away from 78.5 to get 50.24.
To the nearest tenth would mean it would equal 50.2
The last option is the answer
Answer:
see explanation
Step-by-step explanation:
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
Express in standard form, that is 6x² - 7x - 3
product = 6 × - 3 = - 18, sum = - 7
The factors are - 9 and + 2
Use these factors to split the middle term
6x² - 9x + 2x - 3 ( factor the first/second and third/fourth terms )
= 3x(2x - 3) + 1(2x - 3) ← factor out (2x - 3)
= (2x - 3)(3x + 1)
To obtain zeros equate to zero
(2x - 3)(3x + 1) = 0
Equate each factor to zero and solve for x
2x - 3 = 0 ⇒ x =
3x + 1 = 0 ⇒ x = -
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The relationship between the zeros and the coefficients is
sum of zeros = - and
product of zeros =
- = - and
- =
× - = - and
= = -
Verifying both relationships
Answer:
31.25 seconds
Step-by-step explanation:
Examine division
11.6 + 24.4 = 36 m < 50m
and 36 + 37.2 - 73.2m > 50m
50 - 36 = 14m
14 * 23.25/37.2 = 8.75 seconds
7.25 + 15.25 + 8.75 = 31.25 seconds
so it would take him 31.25 seconds to swim 50 meters.