Answer:
I'm just going to assume that your answer is correct since you didn't attach the question. If you are submitting this to your teacher then you are going to want to have correct spelling and grammar. The slang usage isn't professional, but if your teacher is fine with it then you should only worry about spelling. Hope this helped you!!
Answer:
i think 27
Step-by-step explanation:
27 X 4/3y=36y
Answer:
c < - 6
Step-by-step explanation:
Given
3(2c - 8) - 10c > 0 ← distribute and simplify left side
6c - 24 - 10c > 0
- 4c - 24 > 0 ( add 24 to both sides )
- 4c > 24
Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.
c < - 6
Answer:
Step-by-step explanation:
a). Since, ΔABC ~ ΔWYZ
Their corresponding sides will be proportional.
![\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BWY%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%20%5Cfrac%7BAC%7D%7BWZ%7D)
--------(1)
By applying Pythagoras theorem in ΔABC,
AB² = AC² + BC²
BC² = AB² - AC²
BC² = (194)² - (130)²
BC² = 20736
BC = 144
From equation (1)
![\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}](https://tex.z-dn.net/?f=%5Cfrac%7B194%7D%7BWY%7D%3D%5Cfrac%7B144%7D%7B1%7D%3D%20%5Cfrac%7B130%7D%7BWZ%7D)
![\frac{194}{WY}=\frac{144}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B194%7D%7BWY%7D%3D%5Cfrac%7B144%7D%7B1%7D)
WY = ![\frac{194}{144}](https://tex.z-dn.net/?f=%5Cfrac%7B194%7D%7B144%7D)
WY =
= 1.35
![\frac{144}{1}= \frac{130}{WZ}](https://tex.z-dn.net/?f=%5Cfrac%7B144%7D%7B1%7D%3D%20%5Cfrac%7B130%7D%7BWZ%7D)
WZ = ![\frac{130}{144}](https://tex.z-dn.net/?f=%5Cfrac%7B130%7D%7B144%7D)
WZ =
= 0.90
b). tan(A) = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
= ![\frac{144}{130}](https://tex.z-dn.net/?f=%5Cfrac%7B144%7D%7B130%7D)
= ![\frac{72}{65}](https://tex.z-dn.net/?f=%5Cfrac%7B72%7D%7B65%7D)
Since, ΔABC ~ ΔWYZ,
∠A ≅ ∠W
Therefore, tangent of angle A and angle W will measure
.
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.