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guajiro [1.7K]
3 years ago
11

Evaluate the following

Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

4826809 and 6

Step-by-step explanation:

(a)

Given

{ 5² + 12² }³ ← evaluate contents of bracket

= (25 + 144)³

= 169³

= 4826809

(b)

Evaluate contents of parenthesis

= (1 + 8 + 27) = 36, that is

36^{\frac{1}{2} } = \sqrt{36} = 6

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a square stained window is divided into four congurent traiangular sections by iron edging to represent seasons of the year. Eac
Norma-Jean [14]

Answer:

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Step-by-step explanation:

Given:

Length of diagonal = 9 in

Find:

Total length of iron needed to make the square frame and two diagonals.

Computation:

Area of square = 1/2(diagonal)²

Area of square = 1/2(9)²

Area of square = 40.5 in²

Area of square = Side × Side

40.5 in² = Side × Side

Side = 6.36 (approx)

Total length of iron needed to make the square frame and two diagonals = Permeter of square + (2 × diagonal)

⇒ (4 × 6.36) + (2 × 9)

⇒ (25.44) + (18)

⇒ 43.44 in

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

4 0
3 years ago
Need to figure out what number is rational. Thanks in advance.
GarryVolchara [31]
I think the answer you have there is correct
8 0
3 years ago
Read 2 more answers
find the total surface area of the following cuboids length=7cm,breadth=4cm,height=3cm​ please help me with this problem.help me
Zielflug [23.3K]

Answer:

122

Step-by-step explanation:

SA=2lw+2lh+2hw

SA = 2(7)(4) + 2(7)(3) + 2(3)(4)

SA = 122

8 0
3 years ago
The length of a rectangle is 5 inches less than 3 times the width. The perimeter is 70 inches. Find the length and the width.
Stolb23 [73]

Answer:

Length of the Rectangle = 10 inches

and  Width = 25 inches

Step-by-step explanation:

Let the width of the rectangle  = k inches

So, the Length of the rectangle = (3k - 5) inches

Perimeter = 70 inches

Now, Perimeter of the Rectangle = 2(Length + Width)

= 2 (k + (3k-5))

⇒  2 (k + (3k-5))   = 70

or, 2(k + 3k -5) = 70   ⇒    2(4k - 5)  = 70

⇒ 8k - 10 = 70

or, 8k = 70+ 10 = 80

or, k = 80/8 = 10

So, the Length = 10 inches

Hence, Width = 3k - 5 = 3(10) - 5 = 30 - 5 = 25 inches

So, Length of the Rectangle = 10 inches

                            and  Width = 25 inches

4 0
3 years ago
There are 221 students on a filed trip. Five of the students ride in a van. The rest of the students fill 6 buses. Enter an equa
uranmaximum [27]

Answer:

6s+5=221

Step-by-step explanation:

Let s be the number of students in each of 6 buses. Then there are 6s students in all buses.

Five of the students ride in a van. In total, in a van and in buses there are  6s+5 students.

There are 221 students on a filed trip. So,

6s+5=221

6 0
3 years ago
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