Answer:
390cm
Step-by-step explanation:
1. find area of rectangle
1. 15cm x 20cm= 300 cm
2. find area of triangle
1. 1/2 (12 x 15)= 90cm
300+90
Answer:
It is not equivalent.
Step-by-step explanation:
You have to expand the brackets :
(x-4)(x+3)
= x(x) + x(3) - 4(x) - 4(3)
= x² + 3x - 4x - 12
= x² - x - 12
Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.
Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:

Therefore the value of x is 12 feet
Answer:
17.
Step-by-step explanation:
Statement: "ten more than the product of two and a number"
Translation: 10 + (2 * x)
x = 3.5
10 + (2 * 3.5)
= 10 + 7
= 17.
Hope this helps!
Answer:
81 900 000 000 000 is 8.19 × 10¹³
Step-by-step explanation:
Write the first number 8.
Add a decimal point after it: 8.
Now count the number of digits after 8. There are 13 digits.
So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³