Answer:
b
Step-by-step explanation:
area of triangle = 1/2 x c x d =cd/2
area of semicircle = 1/2 x π x r^2 = 1/2 x π x (a/2)^2 = 1/2 x π x a^2/4 =πa^2/8
area of shape = area of triangle + area of semicircle
Recall that a circle of radius 2 centered at the origin has equation
where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius
is
, it follows that the area of a quarter-circle would be
.
You have
, so the definite integral is equal to
.
Another way to verify this is to actually compute the integral. Let
, so that
. Now
Recall the half-angle identity for cosine:
This means the integral is equivalent to
Answer:
$-1465.5
Step-by-step explanation:
Complete question
Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by −$2,931 from payments made on her car loan. Describe the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan. Model your answer using a number sentence.
Given the following
Savings balance (after 1 year) =
−$2,931
If she pays the same amount on her car loan each month, we are to find the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan, this can be expressed as;
$x = 6months savings
Solving both equalities
Savings balance (after 1 year) =
−$2,931
Since 1year = 12months
-$2,931 =12months savings
$x = 6months savings
To get the total savings after 6months we will find x by cross multiplying;
12×x = -2931×6
Divide through by 12
12x/12 = (-2931×6)/12
x = -2931/2
x = -1465.5
Hence Ms. Thomas' savings account balance after making six monthly payments on her car loan is $-1465.5
The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
The linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hence:
Price of each comb = (x/2) / x = 0.5
The price of each comb is $0.5, and the total income from selling x plastic combs is y = x/2
Find out more on equation at: brainly.com/question/2972832
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I think its g(x) Ill give you back the points if it’s not
