Equation: 3x = (5x-30)
Solve:
3x-5x=-30
-2x=-30
Divide each side by two
x=15
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
The area of this figure is 30 square cm.
Explanation
The figure consists of a rectangle and right angled triangle.
length of the rectangle l=6cm
breadth of the rectangle b=4 cm
area of the rectangle=lb=6*4 =![24cm^2](https://tex.z-dn.net/?f=24cm%5E2)
hypotenuse of the right angled triangle=5 cm
height h=4 cm
we have to calculate the base using pythagoras theorem
![b=\sqrt{H^2-h^2} =\sqrt{5^2-4^2} =\sqrt{25-16} =\sqrt{9} =3 cm](https://tex.z-dn.net/?f=b%3D%5Csqrt%7BH%5E2-h%5E2%7D%20%3D%5Csqrt%7B5%5E2-4%5E2%7D%20%3D%5Csqrt%7B25-16%7D%20%3D%5Csqrt%7B9%7D%20%3D3%20cm)
area of the triangle=![1/2 bh\\=1/2 *3*4=6 cm^2](https://tex.z-dn.net/?f=1%2F2%20bh%5C%5C%3D1%2F2%20%2A3%2A4%3D6%20cm%5E2)
are of the figure=area of the rectangle+area of the triangle=24+6=30 sq cm
Answer:
C) It is often difficult to solve complicated problems with tables alone.
Step-by-step explanation:
Tables can be regarded mathematical tools used in representation of data in very organised form. The arrangements is in form of rows and columns which often gives description of an array of data in table format. Tables are best use in solving simple problems. Tables helps to show results for calculation that has varying arguments. It should be noted that the disadvantage to using tables is that It is often difficult to solve complicated problems with tables alone.