Answer:
He can fit 2 more DVD's on the shelf.
And he'll have about 12 mm of extra space left.
Step-by-step explanation:
40×1.4 = 56cm This is the length of space the 40 DVD's will take up.
60-56 = 4cm This is the amount of space left.
4/1.4 = 2.857 the number of DVD's that will fit.
Of course, the decimal represents a partial DVD which is worthless.
Just to be sure, 2×1.4 = 2.8cm OK. But 3×1.4= 4.2cm which is 2mm too much
1/2 is greater than 3/7, so the answer is no. Hope this helps! :)
Answer:
![\large\boxed{(x+3)^2+(y+5)^2=36}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28x%2B3%29%5E2%2B%28y%2B5%29%5E2%3D36%7D)
Step-by-step explanation:
The standard form of an equation of a circle:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
(h, k) - center
r - radius
We have the center at (-3, -5) and the radius r = 6. Substitute:
![(x-(-3))^2+(y-(-5))^2=6^2\\\\(x+3)^2+(y+5)^2=36](https://tex.z-dn.net/?f=%28x-%28-3%29%29%5E2%2B%28y-%28-5%29%29%5E2%3D6%5E2%5C%5C%5C%5C%28x%2B3%29%5E2%2B%28y%2B5%29%5E2%3D36)
I jus need points so but I’m doing the same thing so I think it’s 3
Answer:
Not congruent.
Step-by-step explanation:
We can solve this by checking if all of the angles inside the triangle are congruent. We can first check the angles inside ΔSPY.
180°-64°-28°= 88°.
For the triangles to be congruent, all of the matching angles must be the same. This means that for example, ∠A and ∠S have to be the same.
However, we derived that ∠S=88° and ∠A= 78°. This means that the triangles are not congruent.