Answer:The number of dollars that he will receive if he exchanged 42.7 pesos is $2.3058
Step-by-step explanation:
The current exchange rate is
1 peso = 0.054 dollars.
After a trip to Mexico, Jose converted all his pesos back to dollars. The number of dollars that he will receive if he exchanged 42.7 pesos would be 42.7×0.054 = $2.3058
Answer:
a = 16/3 or 5 1/3 or 5.33...
Step-by-step explanation:
to find a you must first make all of the denominators the same
you must find 4 6 and 2s CGF
and that is 12
so multiply a/4 by 3/3 and get 3a/12
then multiply 5/6 by 2/2 and get 10/12
and lastly multiply 1/2 by 6/6 and get 6/12
at this point you can set the equation up like this
3a/12 - 10/12 = 6/12
but then you can multiply everything by 12
3a - 10 = 6
and then solve
add 10 to both sides
3a = 16
then divide 3 on each side
a = 16/3 or 5 1/3 or 5.33...
Answer:
135 units²
Step-by-step explanation:
height = √17²-8²=√289-64=√225=15
area = 9×15 = 135 units²
Answer:
7.8
Step-by-step explanation:
Answer:
1. ∠ABD = 20°.
2. Arc AB = 140°.
3. Arc AD = 40°.
Step-by-step explanation:
Given information: ∠ADB = 70°. BD is diameter.
According to Central angle theorem, the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
By Central angle theorem,

Using angle sum of property in triangle ADB we get,


.
Draw a line segment AO.
In triangle AOD, AO=OD, so

Using angle sum property in triangle AOD,



Therefore length of arc AD is 40°.
The angle AOD and AOB are supplementary angles.



Therefore length of arc AB is 140°.