Answer:
-54
Step-by-step explanation:
2jk - 10j
Let j = 9 and k=2
2*9*2 - 10 *9
36 - 90
-54
First u need to know what distributive property is so Distributive Property<span> is an algebra </span>property<span> which is used to multiply a single term and two or more terms inside a set of parentheses. Take a look at this problem. 2(3 + 6)
thats distributive property so.... if u need more help then ask im happy to help</span>
Answer:
The measure of the apothem is 1.75 cm
Step-by-step explanation:
we know that
The area of a regular polygon is equal to
![A=\frac{1}{2}Pa](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7DPa)
where
P is the perimeter of the regular polygon
a is the apothem of the regular polygon
Find the perimeter P
The perimeter of the regular octagon is equal to the length side of the octagon multiplied by 8 (the number of sides)
so
![P=1.45(8)=11.6\ cm](https://tex.z-dn.net/?f=P%3D1.45%288%29%3D11.6%5C%20cm)
<em>Find the apothem</em>
we have
![P=11.6\ cm](https://tex.z-dn.net/?f=P%3D11.6%5C%20cm)
![A=10.15\ cm^2](https://tex.z-dn.net/?f=A%3D10.15%5C%20cm%5E2)
substitute in the formula
![A=\frac{1}{2}Pa](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7DPa)
![10.15=\frac{1}{2}(11.6)a](https://tex.z-dn.net/?f=10.15%3D%5Cfrac%7B1%7D%7B2%7D%2811.6%29a)
solve for a
![20.30=(11.6)a](https://tex.z-dn.net/?f=20.30%3D%2811.6%29a)
![a=20.30/(11.6)](https://tex.z-dn.net/?f=a%3D20.30%2F%2811.6%29)
![a=1.75\ cm](https://tex.z-dn.net/?f=a%3D1.75%5C%20cm)
For rectangular school banner we have:
A1 = (54) * (36)
A1 = 1944 in ^ 2
For sign:
For the width we have the following relationship:
(w) / (36) = (17) / (54)
Clearing w:
w = ((17) / (54)) * (36)
w = 11.33333333
Therefore, the sign area is:
A2 = (11.33333333) * (17)
A2 = 192.6666667 in ^ 2
The ratio of the area of the school banner to the area of the sign is:
(A1) / (A2) = (1944) / (192.7)
Answer:
The ratio of the area of the school banner to the area of the sign is:
(A1) / (A2) = (1944) / (192.7)