Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem

Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
Answer:
Total charge= -25
Step-by-step explanation:
Given :
Charges of some ions
Aluminium +3
Phosphate -3
Chloride -1
Silver +1
To find total charge on 8 phosphate,7 chloride and 2 Aluminium atoms
Aluminium +3 × 2 =+6
Phosphate -3 × 8 = -24
Chloride -1 × 7 = -7
total charge=
+6-24-7 =+6 -31
= -25
130x5=650
650-104=546
546-137=409
409-154=255
255-131=124
x=124
6÷2=3
(C) is the correct awnswer
Skip/ Addy had 3 green marbles
Well to solve this firstly we should calculate her average speed while she was going to work. Which comes out to be 45 miles per hour.
Now if her average speed while going home is half as fast as while coming to work was, the answer would be 22.5 miles per hour. So the average speed for the total journey would be the average for these two values. As the distance was same for both the journeys we can simply do 45 + 22.5 / 2 = 33.75 mph.