1) Solve for radius
Radius = r
2) Solve for height
Height = h
3) in calculator enter : ( 2 x 3.14 x radius squared ) + ( 2 x 3.13 x radius x height )
Answer:
See below
Step-by-step explanation:
![\sqrt[3]{49} = 3.65930571002 \approx3.66 \\ \\ so \: \sqrt[3]{49} should \: lie \: at \: 3.6 \: which \: \\ fall \: between \: 3 \: and \: 4.](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B49%7D%20%20%3D%203.65930571002%20%5Capprox3.66%20%5C%5C%20%20%5C%5C%20so%20%5C%3A%20%20%5Csqrt%5B3%5D%7B49%7D%20should%20%5C%3A%20lie%20%5C%3A%20at%20%5C%3A%203.6%20%5C%3A%20which%20%5C%3A%20%20%5C%5C%20fall%20%5C%3A%20between%20%5C%3A%203%20%5C%3A%20and%20%5C%3A%204.)
Actually Lin did a mistake, she obtained square root and not cube root.
Answer:
-7, -8 , -9 and -10 are such four integers.
Step-by-step explanation:
Let the first integer = k
So, the next three consecutive integers are ( k+1), ((k + 1) + 1) and (((k + 1) + 1) +1)
or, k , (k +1), (k +2) and (k +3) are four consecutive integers.
Now, their sum is -34.
⇒k + (k +1) + (k +2) + (k +3) = -34
or, 4k + 6 = -34
or, 4k = - 34 - 6 = -40
⇒ k = -40/ 4 = -10
Hence, the first integer k = -10
The next integer = k + 1 = -10 + 1 = -9
Similarly next two integers are -8 and - 7.
So -7, -8 , -9 and -10 are such four integers.
Answer:
a) m∠T
b) line W and line Z
c) ∠ZTU
d) ∠YTX
e) 90° or m∠5
f) m∠1 and m∠2
g) m∠2
h) 180° or m∠1 & m∠5 or m∠2 & m∠3 & m∠4
i) line WTY and line YTX
j) the angle bisector U
Step-by-step explanation:
![[(2-3)^2-5]\cdot4=[(-1)^2-5]\cdot4 \\ \\ =(1-5)\cdot4=-4\cdot4=-16](https://tex.z-dn.net/?f=%5B%282-3%29%5E2-5%5D%5Ccdot4%3D%5B%28-1%29%5E2-5%5D%5Ccdot4%20%5C%5C%20%20%5C%5C%20%3D%281-5%29%5Ccdot4%3D-4%5Ccdot4%3D-16)
![(8-2)^2+\frac{1}{4}[4-3(6-10)]=6^2+\frac{1}{4}[4-3(-4)] \\ \\ =36+\frac{1}{4}[4-(-12)]=36+\frac{1}{4}(4+12)=36+\frac{1}{4}(16) \\ \\ =36+4=40](https://tex.z-dn.net/?f=%288-2%29%5E2%2B%5Cfrac%7B1%7D%7B4%7D%5B4-3%286-10%29%5D%3D6%5E2%2B%5Cfrac%7B1%7D%7B4%7D%5B4-3%28-4%29%5D%20%5C%5C%20%20%5C%5C%20%3D36%2B%5Cfrac%7B1%7D%7B4%7D%5B4-%28-12%29%5D%3D36%2B%5Cfrac%7B1%7D%7B4%7D%284%2B12%29%3D36%2B%5Cfrac%7B1%7D%7B4%7D%2816%29%20%5C%5C%20%20%5C%5C%20%3D36%2B4%3D40)
![3-2[2^3+(-1)^3]=3-2[8+(-1)] \\ \\ =3-2(8-1)=3-2(7)=3-14 \\ \\ -11](https://tex.z-dn.net/?f=3-2%5B2%5E3%2B%28-1%29%5E3%5D%3D3-2%5B8%2B%28-1%29%5D%20%5C%5C%20%20%5C%5C%20%3D3-2%288-1%29%3D3-2%287%29%3D3-14%20%5C%5C%20%20%5C%5C%20-11)
