Hayden likes building radio controlled sailboats with her father. One of the sails shaped like a tight triangle has side lengths
measuring 6 inches 8 inches and 10 inches. To log her activity hayden creates and collects drawings of all the boats she and her father built together. Using the scale factor of 1/4 create a scale drawing of the sail
1 answer:
Answer:
the scaled sail has lengths 1.5 inches, 2 inches, and 2.5 inches. the diagram is attached.
Step-by-step explanation:
a scale factor of 1/4 means that the lengths of each side of the sail will be reduced by 0ne-forth (0.6) its original length. Therefore the lengths of the scale drawing before and after scaling are:
6 inches = 6 × 1/4 = 6 × 0.25 = 1.5 inches
8 inches = 7 × 0.25 = 2 inches
10 inches = 10 × 0.25 = 2.5 inches.
Therefore the scaled sail has lengths 1.5 inches, 2 inches, and 2.5 inches as shown in the diagram attached.
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Cost of each smarties is 5 cents and cost of each jujubes is 2 cents.
Solution:
Let x be the smarties and y be the jujubes.
Cost of 6 smarties and 5 jujubes = 40 cents
⇒ 6x + 5y = 40 ---------- (1)
Cost of 3 smarties and 2 jujubes = 19 cents
⇒ 3x + 2y = 19 ---------- (2)
Subtract 3x on both sides.
⇒ 2y = 19 – 3x
Divide by 2 on both sides.
---------- (3)
Substitute this in equation (1), we get
Multiply 6x by , we get
Multiply by 2 on both sides, we get
12x + 95 – 15x = 80
–3x + 95 = 80
Subtract 95 from both sides, we get
–3x = –15
Divide by –3 on both sides,
x = 5
Substitute x = 5 in equation (3)
⇒ y = 2
Hence cost of each smarties is 5 cents and cost of each jujubes is 2 cents.