First, find the area of the rectangular paper: 104 × 88 = 9152 cm²
Since we want to find the number of the largest square that we can cut from the paper, we need to investigate if there's any square number is the factor of 9152
We can use the prime factor tree to find the factors of 9152 that is also a square number as shown below
9152 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13
after trying few combinations, we have:
2 × 2 × 2 × 2 = 16
2 × 2 × 2 × 2 × 2 × 2 = 64
The largest square number is 64, and we will have 9152 ÷ 64 = 143 squares of papers
Answer:
i think the mark up would be 16%
Step-by-step explanation:
Option B:
The perimeter of ΔABC is 28 units.
Solution:
AD = 5, DC = 6 and AB = 8
AD and AE are tangents to a circle from an external point A.
BE and BF are tangents to a circle from an external point B.
CD and CF are tangents to a circle from an external point C.
<em>Tangents drawn from an external point to a circle are equal in length.</em>
⇒ AD = AE, BE = BF and CD = CF
AE = 5
AE + BE = AB
5 + BE = 8
Subtract 5 from both sides.
BE = 3
BE = BF
⇒ BF = 3
CD = CF
⇒ CF = 6
Perimeter of the polygon = AE + BE + BF + CF + CD + AD
= 5 + 3 + 3 + 6 + 6 + 5
= 28
The perimeter of ΔABC is 28 units.
Option B is the correct answer.
<h2><u>Answer</u><u> </u><u>:</u></h2>
We'll be using the Pythagoras property to solve this question.
According to the Pythagoras property,
H denotes hypotenuse
B denotes base
P denotes perpendicular
Here,
→ (x)² = (35 cm)² + (12 cm)²
→ x² = 1225 cm² + 144 cm²
→ x² = 1369 cm²
→ x = √(1369 cm²)
→ x = 37 cm
<u>Therefore</u><u>,</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>3</u><u>7</u><u> </u><u>cm</u><u>.</u><u> </u>
One of the factors of one hundred is 20