Answer:
C) -144^¹/₃
Step-by-step explanation:
Having a number to the power of a fraction is the equivalent of rooting by its reciprocal. So, the sixth root, fourth root, cube root, and square root. Only odd roots can have negative answers (∛x, x can be negative; √y, y can not be negative unless we talk about imaginary numbers).
Since we are looking for a real number, C, showing a cube root of a negative number, must be the answer.
Answer:
82.4 cm
Step-by-step explanation:
The computation of the height is given below:
As we know that each right triangle contains the top angle of 20 degrees
So, the right angle & the bottom corner angle equivalent to
= 180 - 90 - 20
= 70 degrees
Now the height is
tangent = opposite leg ÷ adjacent leg
tan (70°) = height ÷ 30 cm
height = 30 cm × tan (70°)
= 82.4 cm
If a dime equals 10¢, and 10 dimes equals 100¢ (or $1) you need to divide.
$90.10/10¢=90.1 dimes you need I think.
Hope this helps
Answer:
8 is the length of JB
Step-by-step explanation:
<u>Key skills needed: Equations, Congruence</u>
1) We need to find out an equation to make based on the lengths that are given. ΔJMB is congruent to ΔKMB because of Side-Angle-Side:
- JB is congruent to BK
- Angle MBK would be a right angle, since it is supplementary to the right angle JBM. Since both are right angles they are congruent.
- Both triangles have the side BM. Using the reflexive property, BM is congruent to itself, so there you go --> Side-Angle-Side
2) Now since both triangles are congruent, we can make the equation that the length of JM is congruent to the length of MK, using the fact that: If triangles are congruent, then corresponding parts are congruent.
3) This means that 16x -24 = 4x
Subtract 16x from both sides : -24 = -12x
Divide by -12 on both sides and get x = 2
4) Substitute x into the length of JB (16x-24)
16(2)-24 = 32-24 = 8
5) Therefore, the length of JB is 8
<em>Hope you understood and have a nice day!! :D</em>
