Answer:
44 cm
Step-by-step explanation:
The area of a square is the square of the side length. This means the side length is the square root of the area.
s = √A = √(121 cm²) = 11 cm
The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:
P = 4s = 4(11 cm)
P = 44 cm
The perimeter of the square is 44 cm.
Answer:
$698
Step-by-step explanation:
Given that :
Principal = $5600
Rate = 4.75%
Time = 3 years
Simple interest = principal * rate * time
Simple interest = $5600 * 0.0475 * 3
simple interest = $798
Answer:
Step-by-step explanation:
The attached photo shows the diagram of quadrilateral QRST with more illustrations.
Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)
The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT
Using sine rule,
q/SinQ = t/SinT = r/SinR
24/sin98 = QT/sin50
QT = r = sin50 × 24.24 = 18.57
Also
24/sin98 = QR/sin32
QR = t = sin32 × 24.24 = 12.84
Let us find area of triangle QRT
Area of a triangle
= 1/2 abSinC = 1/2 rtSinQ
Area of triangle QRT
= 1/2 × 18.57 × 12.84Sin98
= 118.06
Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12
Answer: The width is: " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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V = L * w * h ;
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in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
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We want to solve for "w" (width) ;
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Given the formula:
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V = L * w * h ;
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Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
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→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
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→ V / (L * h) = w ;
↔ w = V / (L * h) ;
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Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
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→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
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Answer:
There are only 6 numbers that fit that description. (4,12,24,32,44,52)