Answer:
x < -4 or x > 7.
Step-by-step explanation:
We first determine the critical points by solving x^2 - 3x - 28 = 0:
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x = 7, - 4
so the critical points are -4 and 7.
Create a Table (pos = positive and neg = negative):
Value of x< - 4 -4 < x < 7 x > 7
---------------------|----------- |--------------------- |---------------------
x + 4 NEG POS POS
x - 7 NEG NEG POS
(x + 4)(x - 7) POS NEG POS
So the function is positive (>0) for x < -4 or x > 7.
You can also do this by drawing the graph of the function.
The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
<h3>How to measure diagonal of the cuboid?</h3>
The length of the diagonal of the cuboid is found out using the following formula.

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.
The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,
- Length (l)=47 in
- Width (w)=33 in
- Height (h)=19.5 in
The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,

Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
Learn more about the cuboid here;
brainly.com/question/22694657
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Number of cubs are less than 9.
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.
NO. OF LIONS = 9
Cubs are fewer than 9
To learn more about inequality, refer to brainly.com/question/25275758
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Complete Question
The complete question is shown on the first uploaded image
Answer:
1

2

3

4

Step-by-step explanation:
Generally the area of a sector is mathematically represented as

Now at
and 


Now at
in and 


Now at
and 


Now at
and 

