The square root of -17/16 is 0.257694102 i
Answer:
gold price : $58.72/gram
$58,720 per kilo(1000) grams
Step-by-step explanation:
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:
TU=36
Step-by-step explanation:
use the side lengths of PQR to determine the proportionality of the two triangles. 9/2=4.5 so, multiply 8 by 4.5 to find TU.
Answer:
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