Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
<span>3(2t + 5) = 5t + 25
6t + 15 = 5t + 25
6t - 5t = 25 - 15
t = 10</span>
9514 1404 393
Answer:
- no parts have the same color (0)
- yellow, blue, red
- percentages can be written in several forms: fraction, decimal, for example. The sectors can also be identified by their angle measures.
- see attached
Step-by-step explanation:
1. The seven different sectors have seven different colors. No parts have the same color.
2. The attached table lists the sectors in decreasing order of size. The largest three are yellow, blue, red.
3. Percentages can be written a number of ways. They can be written as decimal numbers, or as fractions. In a pie chart, the sectors can also be given an angle measure.
4. Fraction equivalents of the percentages are shown in the attached.
5. Reduce fraction equivalents of the percentages are shown in the attached.
Answer:
SEE BELOW
Step-by-step explanation:
Coprime numbers:
A Co-prime number is a set of numbers or integers which have only 1 as their common factor.
For eg: (2,3), (11,12), (99,100) and so on; they have 1 as their HCF. The sum of any two coprime numbers is always coprime with the product of the same two coprime numbers. For eg: The sum of 2 and 3 is 5 and the product of 2 and 3 is 6. Hence, 5 and 6 are coprime numbers.
Prime number
A number that can be divided exactly only by itself and 1, for example 7, 17 and 41
