From her home, darcy travels due north. she then turns east and travels for 15 miles to reach her destination. at this point, measuring in a straight line, she is 17 miles from home. how far did darcy travel due north before she turned to the east?

Hai :3 its meh i did this and i got the answer right so i thought i would share it!!

✧Answer✧:

8 miles  ♡ _∩_∩_♡

✧Step-by-step explanation✧:

1.) The 17 mile distance from Darcy's house to her destination represents the hypotenuse of a right triangle, and the distance that Darcy traveled east represents one leg. The distance that Darcy traveled due north represents the unknown leg.

2.) The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the lengths of the right triangle, and c is the length of the hypotenuse.

3.) Let n = the distance Darcy traveled due north, which is the unknown leg of the right triangle.

15^2 + n^2 = 17^2  ✿The problem✿

225 + n^2 = 289   ✿Square 15 and 17✿

n^2 = 64   ✿Subtract 225 from both sides✿

n = 8   ✿Take the square root of both sides✿

4.) So the distance Darcy traveled due north was 8 miles.

Hope this helps! mwah

Sincerely,

loxy ★~(◡﹏◕✿) <3

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3