Answer:
5
Step-by-step explanation:
5 100
500
100
600
10000
19.25 (tax)
294.25 (total price)
135.75 (money left)
REASONING:
In this word problem it says Anna has 430 dollars. The phone costs 275 dollars. It also says that when she buys the phone, she will have to pay a tax of 7%.
To find how much tax she will pay, we must do [275] x [0.07]
After inputting this into a calculator, you will get 19.25 (tax)
To find the total price, all you have to do is add 19.25 to 275. When you do this, you will get 294.25 dollars (total price)
To find how much money she has left,
430-294.25=135.75 (money left)
Answer:

Step-by-step explanation:
cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)=
≈1.73
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³