Paul picked a handful of jelly beans. He chose 8 blue, 4 green, 2 red and 2 yellow.
2 answers:
Answer:
<em>As shown in the explanation.</em>
Step-by-step explanation:
<u>Ratios</u>
A ratio is a relation between two quantities and it's calculated as a division. For example, the ratio between 8 and 4 is 8 / 4 = 2.
According to the data provided in the question, Paul chose 8 blue jelly beans, 4 green, 2 red, and 2 yellow.
We are required to compare the number of blue jelly beans to red, green, and yellow jelly beans.
The ratio of blue to red is:
The ratio of blue to green is:
The ratio of blue to yellow is:
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Answer:
The length of the hypotenuse is 2 square root of 13 ⇒ c
Step-by-step explanation:
The rule of the area of the right triangle is A = × leg1 × leg2, where
leg1 and leg2 are the sides of the right angle
∵ The area of a right triangle is 12 in²
∵ The ratio of the length of its legs is 2: 3
→ Let leg1 = 2x and leg2 = 3x
∵ leg1 = 2x and leg2 = 3x
→ Substitute them in the rule of the area above
∴ 12 = × 2x × 3x
∵ 2x × 3x = 6x²
∴ 12 = × 6x²
∴ 12 = 3x²
→ Divide both sides by 3 to find x²
∴ 4 = x²
→ Take √ for both sides
∴ x = 2
→ Substitute x in the expressions of leg1 and leg2 to find them
∴ leg1 = 2(2) = 4 inches
∴ leg2 = 3(2) = 6 inches
∵ hypotenuse =
∴ hypotenuse =
∵ The simplest form of = 2
∴ The length of the hypotenuse = 2 inches