Answer:
B: 7.07 units
Step-by-step explanation:
We see a radius of circle A labeled 3, so we know that the other radius of circle A that contains the side of the rectangle also measures 3 units. The side of the rectangle measures 2, so the part of the radius of circle A that is not part of the rectangle measures 1 unit. That is one leg of the right triangle.
Opposite sides of a rectangle are congruent, so the side of the rectangle opposite the side that measures 7 also measures 7. That is the other leg of the right triangle. Now we use the Pythagorean theorem to find AC which is the hypotenuse of the right triangle.
a² + b² = c²
1² + 7² = c²
1 + 49 = c²
c² = 50
c = √50
c = 7.07
Answer:
27.5 = CE
Step-by-step explanation:
The two triangles should be similar to each other, so we can set up a ratio of 15:6. This gives us a final ratio of 2.5:1 Multiply EA = 11 by 2.5 to find its corresponding side measure
11*2.5 = 27.5
Answer:
3.49 radians
Step-by-step explanation:
The arc length formula is s = rФ, where r is the radius and Ф is the central angle. We know s and r and need to calculate Ф.
From s = rФ we get Ф = central angle = s/r
Here, that central angle Ф is (31.4 cm) / 9 cm = 3.49 radians
30 miles for a single gallon.
first we find out how many gallons would be used.
number of gallons = 1020/30
gallons = 34.
and since 1 gallon costs $4.06
34 gallons would cost = 34 x 4.06 = $138.04
Add the number of boys that prefer to play inside and the number that prefer to play outside and then divide the ones that prefer inside by the total. The answer is 43.4 percent
