Answer:
The height of the prism is 16 yards
Step-by-step explanation:
To get the height of the prism, we simply divide the volume of the prism by its base area
Mathematically, we have this as;
128/8 = 16 yards
Answer:
D. Multiply both sides by -7
Step-by-step explanation:
So solving would look like this
m/-7 < 14
m > -2
Remember when multiplying by a negative the sign flips, hope that helps :)
Answer:
The equivalent expression is
A is correct
Step-by-step explanation:
We are given two complex number and need to multiply it. To find equivalent fraction.
![(4+7i)(3+4i)](https://tex.z-dn.net/?f=%284%2B7i%29%283%2B4i%29)
Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd
![\Rightarrow (4+7i)(3+4i)](https://tex.z-dn.net/?f=%5CRightarrow%20%284%2B7i%29%283%2B4i%29)
![\Rightarrow 4(3)+4(4i)+7i(3)+7i(4i)](https://tex.z-dn.net/?f=%5CRightarrow%204%283%29%2B4%284i%29%2B7i%283%29%2B7i%284i%29)
![\Rightarrow 12+16i+21i+28i^2](https://tex.z-dn.net/?f=%5CRightarrow%2012%2B16i%2B21i%2B28i%5E2)
Combine the like term and simplify
![\because \ \ i^2=-1](https://tex.z-dn.net/?f=%5Cbecause%20%5C%20%5C%20i%5E2%3D-1)
Hence, The equivalent expression is
Step-by-step explanation:
1) supplementary
2) complementary
3) neither
4) neither
5) supplementary
6) complementary
7) supplementary
8) neither
9) complementary
Answer:
841
Step-by-step explanation:
If the number is divided by 4 and the remainder is 1, the last digit must be 1, 3, 5, 7 or 9.
If the number is divided by 5 and the remainder is 1, the last digit must be 6 or 1.
So we already know the last digit must be 1.
The numbers between 800 and 900, with last digit 1, that divided by 6 have a remainder of 1 are:
811, 841, 871
The numbers between 800 and 900, with last digit 1, that divided by 7 have a remainder of 1 is just 841
So Tommy's number is 841.