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matrenka
14 days ago
12

At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T

he inner edge of the sidewalk is a circle with a radius of 9 m.
⦁ Write and simplify an expression for the exact area of the sidewalk.
⦁ Find the approximate area of the sidewalk. Use 3.14 to approximate π
Mathematics
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Which lines are parallel if m4 = m5? Justify your answer.
lawyer [12517]
Angles that are opposite to each other when two lines cross are equal, therefore angle 1 is equal to angle 4. This also implies that angle 1 = angle 5. When a line crosses two parallel lines, the angles corresponding to each other are equal. So, if r and s are parallel, the angles that are formed when line l intersects line r are equal to those when l intersects line s. Thus, we have angle 1 = angle 5, angle 2 = angle 6, and so on. Hence, since angle 1 is equal to angle 5, we deduce that lines r and s are parallel.
7 0
2 months ago
Solve 11 - 1/2y= 3 + 6x for y.​
Svet_ta [12734]

Answer:

y = 12x + 16

Step-by-step explanation:

First, simplify both sides of the equation and then isolate the variable.

In Step 1, add 11 to each side.

−1 /2 y+11+−11=6x+3+−11

−1 /2 y=6x−8

In Step 2, divide each side by (-1)/2.

This leads to

y = 12x + 16

3 0
4 months ago
Sam studied guinea pigs for his science fair project. He found that the amount of weight the guinea pigs gained varied directly
tester [12383]

Using the information provided, we can derive the following equation:

W = C / 218

Substituting the provided values gives us:

W = 1090 calories / (218 calories / 1 ounce)

W = 5 ounces

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4 0
3 months ago
Write the number described by 1 ten 16 ones.
PIT_PIT [12445]
Calculating the number: 1 group of ten plus 16 units equals 1×10 plus 16×1, which is 10 plus 16, totaling 26.

Hope this clarifies things!
7 0
4 months ago
Read 2 more answers
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