Answer:
6. (a-4)(a+9)
7. (3p+4)(p-2)
8. Will explain below.
9. (5b+4)(5b-4)
Step-by-step explanation:
HELLOOO IM BACK
6. -4*9 = -36 (the variable), 9-4 = 5 (a) , so a^2 +5a - 36 is fulfilled.
7. 4*-2 = -8, 4-2 = 2, so 3p^2 - 2p - 8 is fulfilled.
9. 25b^2 = (5b)^2
16 = 4^2
Using the difference of squares formula, a^2-b^2= (a+b)(a-b)
931.86, if rounded to the nearest hundredth.
<u>Given</u>:
Given that the triangle.
Let the length of the side a be 10 cm.
Let the length of the side b be 13 cm.
Let the measure of ∠C is 105°
We need to determine the area of the triangle.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,

Substituting a = 10, b = 13 and ∠C = 105°, we get;

Simplifying, we get;



Rounding off to 1 decimal place, we have;

Thus, the area of the triangle is 62.8 cm²
Answer:
The ratios of their perimeters is 3/4
Step-by-step explanation:
In this question, we are asked to find the ratio of two perimeter of different regular polygons having the same number of sides but different side lengths.
A regular polygon is a polygon that has its all its sides to be of equal lengths. Now to find the perimeter of this kind of polygon, what we need to do is to multiply the number of sides that we have by the length of one of the sides.
Now, since we know that the number of sides of the polygons are equal, we can say that both polygons each have a total length of n sides each.
For the 6 inch side polygon, the perimeter of the polygon would be 6 * n = 6n inches
For the 8 inch side polygon, the perimeter of the polygon would be 8 * n = 8n inches
The ratio of the two thus becomes;
6n : 8n
This is same as writing 6n/8n
This is equal to 3:4 to the lowest ratio( we first divide by n on both sides, then 2 after wards to arrive at this answer.
Answer:
Answer down below!! :))
Step-by-step explanation:
Since he bought all those things, the simple way is to add all the decimals in the problem.
Remember when writing them down, <u><em>always line them up</em></u>
1.39
+0.89
0.75
____
3.03 is your answer!