There will be 36 squares in the 8th step of the pattern
<h3>How to determine the number of squares?</h3>
The pattern and the squares are represented as:
<u>Pattern Squares</u>
1 1
2 3
3 6
4 10
This can be rewritten as:
<u>Pattern Squares</u>
1 1
2 1 + 2
3 1 + 2 +3
4 1 + 2 + 3 +4
So, the number of squares on the 8th pattern is:
8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8
Evaluate
8th pattern = 36
Hence, there will be 36 squares in the 8th step
Read more about patterns at:
brainly.com/question/7882626
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I think it’s 5.7 but I’m not sure
Answer:
X=18
Step-by-step explanation:
(1/2)*x-7 = (1/3)*(x-12) // - (1/3)*(x-12)
(1/2)*x-((1/3)*(x-12))-7 = 0
(-1/3)*(x-12)+(1/2)*x-7 = 0
x/2-1/3*(x-12)-7 = 0
(-1/3*2*(x-12))/2+x/2+(-7*2)/2 = 0
x-1/3*2*(x-12)-7*2 = 0
1/3*x-14+8 = 0
1/3*x-6 = 0
(1/3*x-6)/2 = 0
(1/3*x-6)/2 = 0 // * 2
1/3*x-6 = 0
1/3*x-6 = 0 // + 6
1/3*x = 6 // : 1/3
x = 6/1/3
x = 18
Answer:
$162.94
Step-by-step explanation:
Because 20% off of 192.15 = $162.94 and
$153.72 + (6.0%) $9.22 = $162.94
Answer:
3. 150.72 in²
4. 535.2cm²
Step-by-step Explanation:
3. The solid formed by the net given in problem 3 is the net of a cylinder.
The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.
The surface area = Area of the 2 circles + area of the rectangle
Take π as 3.14
radius of circle = ½ of 4 = 2 in
Area of the 2 circles = 2(πr²) = 2*3.14*2²
Area of the 2 circles = 25.12 in²
Area of the rectangle = L*W
width is given as 10 in.
Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in
Area of rectangle = L*W = 12.56*10 = 125.6 in²
Surface area of net = Area of the 2 circles + area of the rectangle
= 25.12 + 125.6 = 150.72 in²
4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)
= 
Where,
b = 8 cm
h = ![\sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)w = 8 cm[tex]S.A = 2(0.5*8*6.9) + 3(20*8)](https://tex.z-dn.net/?f=%20%5Csqrt%7B8%5E2%20-%204%5E2%7D%20%3D%20%5Csqrt%7B48%7D%20%3D%206.9%20cm%7D%20%28Pythagorean%20theorem%29%3C%2Fp%3E%3Cp%3Ew%20%3D%208%20cm%3C%2Fp%3E%3Cp%3E%5Btex%5DS.A%20%3D%20%202%280.5%2A8%2A6.9%29%20%2B%203%2820%2A8%29)


