Answer:
Step-by-step explanation:
ABC and DEF are congruent
ABC and JKL are not congruent
ABC and QRS are congruent
JKL and DEF are not congruent
JKL and QRS are not congruent
QRS and DEF are congruent
Answer:
125ft cubed
Step-by-step explanation:
Volume of a cube = LWH
v= 5^3
v= 125 ft cubed
Answer:
lateral surface area of the cone =49π
Step-by-step explanation:
y= x/4
dx/dy = 4
Given x range as from 0 ≤ x ≤ 7 ⇒ x ranges between (a,b)
a= x/4 = 0/4 = 0
b = x/4= 7/4
lateral surface area of the cone
![\int\limits^b_a {2\pi x\sqrt{1 + (\frac{dx}{dy})^2 } } \, dx \\\\= \int\limits^{\frac{7}{4}}_0 {2\pi (4y)\sqrt{1 + (4)^2 } } \, dx \\\\= 32\pi \int\limits^{\frac{7}{4}}_0 { y } \, dx \\\\= 32\pi [\frac{y^2}{2}]|^\frac{7}{4}_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5Eb_a%20%7B2%5Cpi%20x%5Csqrt%7B1%20%2B%20%28%5Cfrac%7Bdx%7D%7Bdy%7D%29%5E2%20%7D%20%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%20%5Cint%5Climits%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D_0%20%7B2%5Cpi%20%284y%29%5Csqrt%7B1%20%2B%20%284%29%5E2%20%7D%20%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%2032%5Cpi%20%5Cint%5Climits%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D_0%20%7B%20y%20%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%3D%2032%5Cpi%20%5B%5Cfrac%7By%5E2%7D%7B2%7D%5D%7C%5E%5Cfrac%7B7%7D%7B4%7D_0)
=32π * 49/(16 *2)
=49π
Looking at an electron with an electron microscope. An electron microscope is a microscope that uses a beam of accelerated electrons as a source of illumination.
Answer:
47/36 is wut i got for slope
Step-by-step explanation: