Find the area of the shaded region. The radius of the large circle is 10 m. Round answer to the nearest hundredth.
1 answer:
Answer:
hello the figure related to your question is missing attached below is the missing figure
answer : 157.08 m^2
Step-by-step explanation:
Calculate the area of the shaded area
= Area of the large circle - Areas of the small circles
= (( ) * D^2) - 2( (
) * d^2 ) given that the small circles are congruent
= (( ) * 20^2 ) - 2 ( (
) * 10^2 )
= 314.16 - 157.08
= 157.08 m^2
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Equation
−4(10 − a) = 36 Simplify both sides
(−4)(10) + (−4)(−a) = 36 Distribute
−40 + 4a = 36
4a − 40 = 36
4a - 40 + 40 = 36 + 40 Add 40 to both sides
4a = 76
4a/4 = 76/4 Divide both sides by 4
76/4 = 19 Simplify 76/4
a = 19
Hope this helps!
The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
<h3>How to find the factors of a quadratic expression?</h3>If the given quadratic expression is of the form
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here: