Answer: attending the game
Step-by-step explanation:
Given: 12 out of the first 48 people who entered the stands were wearing a coat.
That means, Proportion of people wearing coat = (People wearing coat divided by Total people)
Total people in the sample attending the game= 200
Number of people wearing a coat =
Hence, 50 people are wearing a coat.
Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴
∵ BC = 6 units
∵ EF = 3 units
∴
∵ CA = 2 units
∵ FD = 1 units
∴
∴
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF
Answer:
i) 28 - 30i
ii) 36 + 28i
Step-by-step explanation:
i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i
z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i
2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i
ii) w = -1 + 5i and z = 4 - 8i
w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40⇒collect like terms
w × z = -4 + 28i - 40
∵
∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i
The length of the radius will be 22 units.
<h3>What is the radius?</h3>The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:
By solving the above equation we get
Hence the length of the radius will be 22 units.
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