<h3>
Answer: 128.74 square meters</h3>
=========================================================
Explanation:
The area of the garden only (ignore the circular pathway) is approximately
A = pi*r^2
A = 3.14*20^2
A = 1256
The area of the garden plus the path is approximately
A = pi*r^2
A = 3.14*21^2
A = 1384.74
Notie how I added on 1 meter to increase the radius to 21
Subtract the two circle areas to get the area of the circular ring.
1384.74 - 1256 = 128.74
The units for all of the areas mentioned are "square meters".
Answer:
infinite solutions
Step-by-step explanation:
3x+8=3x+8
Subtract 3x from each side
3x-3x+8=3x-3x+8
8=8
Since this is always true, we have infinite solutions
Part A. Lest fin the zeros of our function first:
Step 1. Set the right side of the function equal to 0:

Step 2. Multiply both sides of the equation by -1

Step 3. Factor the left side:
Step 4. Set each factor equal to 0 and solve for

:

and


and

Since distances can't be negative, the zero of our function is

.
<span>We can conclude that the zero </span>
represents that when the horizontal distance of the diver is 3 ft, he is is in the surface of the pool. In other words, his vertical distance is zero.
Part B. To factor our quadratic equation

, we are going to use the method for simple cases because

:
Step 1. Find tow numbers whose product is

and its sum is

:
We know form our quadratic that

,

, and

, so

.
We want tow numbers that multiply together to make -18, and add up to 3.
Those number are 6 and -3.

and
Step 2. Rewrite the middle term

using those numbers:
Step 3. Factor the expression:



Answer:
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Step-by-step explanation:
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.
90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.
so, the percent of students who love social studies is given by:
28/90 x 100=31.11%
He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Answer:
Step-by-step explanation: