9514 1404 393
Answer:
420
Step-by-step explanation:
The prime factors of each denominator are ...
12 = 2²×3
14 = 2×7
5 = 5
10 = 2×5
The unique factors are 2²×3×5×7 = 420.
The least common denominator of these fractions is 420.
_____
<em>Additional comment</em>
- 5/12 = 175/420
- 9/14 = 270/420
- 2/5 = 168/420
- 1/10 = 42/420
40$ - 100% (full price)
x$ - 70% (100-30=70%)
40 * 70 = 100x
2800 = 100x
x = 28
Answer 28$
or
40$ = 100%
then 1% = 40/100 = 0.4$
so 70% will be 0.4 * 70 = 28$
Answer:
Step-by-step explanation:
x - 3y -15
x = -3
Answer:
72 feet
Step-by-step explanation:
multiply 34 by 2 (because there is 2 sides), and multiply 2 by 2 (because there is 2 sides), and you'll get 68 and 4. add them together, and you'll get 72.
Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.
<h3>What is the
Tangent Ratio?</h3>
Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).
The information given has been sketched in the diagram attached below.
Find AC using the tangent ratio. Thus, we would have:
tan 29 = AC/CD
Substitute
tan 29 = AC/22
AC = tan 29 × 22 = 12.2 m.
Find BC using the tangent ratio:
tan 42 = BC/DC
Substitute
tan 42 = BC/22
BC = tan 42 × 22 = 19.8 m.
The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.
Learn more about tangent ratio on:
brainly.com/question/1592477