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Mathematics 45 Online
KarmaXD:

help-

KarmaXD:

KarmaXD:

@toga

toga:

Sean and Juan are planning to travel from the museum to the park using either Bus B to Bus A or Bus C directly. To determine how much shorter the direct route using Bus C is, we need to find the length of Bus C's route in miles. Using the given information, we can use the Pythagorean theorem to calculate the length of the hypotenuse, c, which represents the length of Bus C's route: c² = a² + b² First, we need to calculate the distance covered by Bus B to Bus A, which is 6.4 miles. Next, we can use the given values to calculate the length of the hypotenuse: c² = 4.82 + 6.42 c² = 23.36 c ≈ 4.833 miles Therefore, the length of Bus C's route is approximately 4.833 miles. To calculate how much shorter the direct route using Bus C is, we need to subtract the distance covered by Bus C from the distance covered by Bus B to Bus A: Difference = 6.4 - 4.833 Difference ≈ 1.567 miles Thus, the direct route using only Bus C is approximately 1.567 miles shorter than taking Bus B to Bus A.

MarioMx64:

dang toga You are good at math

KarmaXD:

heres another one

toga:

Emilio and Leo are trying to figure out the shortest route to the restaurant after the movie theater. One option is to take Pine Street, which is 1.2 miles long, and then turn onto Main Street, which is 1.6 miles long. Another option is to take High Street, which is more direct. To find the length of High Street, we need to use the Pythagorean theorem: a² + b² = c², where a and b are the lengths of the two legs of a right triangle, and c is the length of the hypotenuse. In this case, a = 1.2 and b = 1.6, so: c² = a² + b² c² = 1.2² + 1.6² c² = 1.44 + 2.56 c² = 4 c = √4 c = 2 Therefore, the length of High Street is 2 miles, which is 0.8 miles shorter than taking Pine Street and Main Street.

KarmaXD:

what abot this

toga:

Chloe and Jordan are trying to figure out which route to take from the museum to the park. One option is to take Bus B to Bus A, while the other option is a more direct route using only Bus C. They are wondering how much shorter the direct route using only Bus C is. The distance of Bus B's route is 3.6 miles, while Bus A's route is 4.8 miles. To calculate the distance of the direct route using only Bus C, we can use the Pythagorean theorem: a² + b² = c² Substituting the values, we get: 4.82 + 3.62 = c² c² = 34.56 c = √34.56 c ≈ 5.88 Therefore, the direct route using only Bus C is approximately 5.88 miles. To find out how much shorter it is, we can subtract this distance from Bus A's route: 4.8 - 5.88 ≈ -1.08 So the direct route using only Bus C is about 1.08 miles shorter than Bus A's route.

KarmaXD:

toga:

nTo rewrite 3/6 as a whole number, we need to simplify the fraction. The greatest common factor (GCF) of 3 and 6 is 3. So, we can divide both the numerator and denominator by 3 to get 1/2. To find the number that can be multiplied by itself to get a product of 36, we can take the square root of 36, which is 6. So, 3/6 can be simplified to 1/2, and the number that can be multiplied by itself to get a product of 36 is 6.

KarmaXD:

how about this

toga:

Chloe and Jordan are planning to go to the park from the museum. They have two route options. The first one is to take Bus B to Bus A, which will have a total distance of 3.6 + 4.8 = 8.4 miles. The second option is to take only Bus C, which will be a direct route of 6 miles. Therefore, the direct route using only Bus C will be 8.4 - 6 = 2.4 miles shorter than taking Bus B to Bus A.

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