Triangles ABC and DEF are similar, which means corresponding sides are proportional to one another. Here, side AB corresponds to DE, BC to EF, and AC to DF.
We know the length of AB and AC, and we can figure out the length of BC using the Pythagorean theorem:
Sides BC and EF correspond to one another, and EF is 2 times longer than BC. This means DF is 2 times longer than 17, so that .
Answer:
1. 617.5 cm³
2. 335.6 in³
3. 151.6 m³
4. 3479.1 ft³
Step-by-step explanation:
1.
B1: 19.5 × 9 = 175.5
B2: 6 × 13 = 78
sqrt(B1 ×B2) = 117
h = 5
Volume = ⅓ × 5 × [175.5 + 78 + 117]
617.5
2.
B1: 3.14 × 4.5² = 63.585
B2: 3.14 × 3² = 28.26
sqrt(B1 ×B2) = 42.39
h = 7.5
Volume = ⅓ × 7.5 × [63.585 + 28.26 + 42.39]
335.5875
3.
B1: ½(8+12) × 6 = 60
B2: ½(3+4.5) × 2.25 = 8.4375
sqrt(B1 ×B2) = 22.5
h = 5
Volume = ⅓ × 5 × [60 + 8.4364 + 22.5]
151.5625
4.
B1: 3.14 × 12² = 452.16
B2: 3.14 × 7² = 153.86
sqrt(B1 ×B2) = 263.76
h² = 13² - (12-7)²
h² = 13² - 5²
h² = 144
h = 12
Volume = ⅓ × 12 × [452.16 + 153.86 + 263.76]
3479.12
The answer is 90 when you multiply 15 by 6
Answer:90
Step-by-step explanation:
15
X6
=90
Mark needs 36 inches of ribbon to go around the sides of the picture frame.
A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The length of ribbon required to go around the picture frame is equal to the perimeter of the frame.
The perimeter of a rectangle is given by the formula:
= 2 (length + width)
= 2 (11 + 7)
= 2(18)
= 36 inches
Therefore,
Mark needs 36 inches of ribbon to go around the sides of the picture frame.
Learn more about rectangles here:
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