We can used the Simpson's Rule says to approximate the area under a given curve using the following formula:
<span>(Δx/3)[f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(xn-2) + 4f(xn-1) + f(xn)] </span>
<span>The pool is divided into 8 subintervals. We integrate the given function from 0 to 24, while the graph provides values of f(x) at 7 different points. The first value given, 6.2, is NOT f(0). It is f(3). Using Simpson's Rule, and dividing the lake of 24 meters into 8 subintervals, we write the equation: </span>
<span>area = (3/3)[f(0) + 4f(3) + 2f(6) + 4f(9) +2f(12) + 4f(15) + 2f(18) + 4f(21) + f(24)] </span>
<span>Pool area = 0 + 4(6.2) + 2(7.2) +4(6.8) + 2(5.6) + 4(5.0) +2(4.8) +4(4.8) + 0 = 126.4 m^2 </span>
<span>Rounding to the nearest square meter, the area of the lake is approximately 126 m^2 </span>
Answer:
In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.
Step-by-step explanation:
As the recipe is missing in this question, the recipe is found online which given following information
- Abel needs 5 cups of flour to make brownies.
- If Abel uses 4 cups of sugar.
- he will need to use 2 cups of cocoa powder.
- The recipe will make brownies if Abel uses only 1 egg.
Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.
This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.
Now in order to make 45 brownies
- Abel needs 5*5 =25 cups of flour to make brownies.
- If Abel uses 5*4=20 cups of sugar.
- he will need to use 5*2=10 cups of cocoa powder.
- The recipe will make brownies if Abel uses only 5*1=5 egg.
So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.
Answer:
Step-by-step explanation:
Area of trapezium = 1/2 × h (a+b) = 864 cm^2
where h is the height and a and b are the two parallel sides
h = 24 cm
a = 30 cm
b = ?
1/2 × 24 ( 30 + b ) = 864
12 ( 30 + b ) = 864
30 + b = 864/12
30 + b = 72
b = 72 - 30
b = 42
Therefore the lenght of other base = 42 cm
Plz mark it as brainliest !!!!!!!!!!
Answer:
Angle PQW is equal to 35 degrees
Step-by-step explanation:
Angle PQW = 36x - 1
Angle WQR = 134x
Angle PQR = 169 degrees
To find angle PQW, Set Angles PQR and WQR to PQW. The equation should look like this:
PQR - WQR = PQW
Substitute in the values
169 - 134x = 36x - 1
Now add 134x to both sides and add 1 to both sides.
170 = 170x
Now divide 170 from both sides
x = 1
Plug x into angle PQW
36(1) - 1 = 35
<span><span><u>Answer</u>
This explanation shows that the equation is solvable and there is not where in the steps we get a zero on the denominator.
</span><span><u>Explanation</u>
</span><span>The equation given in the statement is;
4/5+3/x=1/2
This equation can be solved as follows:
4/5+3/x=1/2
3/x=1/2-4/5=(5-8)/10
3/x= -3/10
Taking the reciprocal on both side of the equation;
x/3=-10/3
Multiplying by 3 both sides we get;
</span><span>x= -10
</span></span>
