OK. I did it. Now let's see if I can go through it without
getting too complicated.
I think the key to the whole thing is this fact:
A radius drawn perpendicular to a chord bisects the chord.
That tells us several things:
-- OM bisects AB.
'M' is the midpoint of AB.
AM is half of AB.
-- ON bisects AC.
'N' is the midpoint of AC.
AN is half of AC.
-- Since AC is half of AB,
AN is half of AM.
a = b/2
Now look at the right triangle inside the rectangle.
'r' is the hypotenuse, so
a² + b² = r²
But a = b/2, so (b/2)² + b² = r²
(b/2)² = b²/4 b²/4 + b² = r²
Multiply each side by 4: b² + 4b² = 4r²
- - - - - - - - - - -
0 + 5b² = 4r²
Repeat the
original equation: a² + b² = r²
Subtract the last
two equations: -a² + 4b² = 3r²
Add a² to each side: 4b² = a² + 3r² . <=== ! ! !
Answer:
<h2>B</h2>
Step-by-step explanation:
<em>The answer is "B" because the line is passing through the "origin" of the graph, this means that it is intersecting both the y and x axis in a proportional relationship, which is what we need.</em>
<em>Hope this helps! <3</em>
Answer:
The correct answer is A. 167 milliliters of 7% solution and 333 milliliters of 4% solution and here is how:
If x is the number of milliliters of the 7% saline solution and y is the number of milliliters of the 4% saline solution then add up to 500 milliliters total, so x + y = 500.
and if we do
x + y = 500
x = 500 - y
0.07x + 0.04y = 25 (substitute 500 - y for x)
0.07(500 - y) + 0.04y = 25
35 - 0.07y + 0.04y = 25
-0.03y + 35 = 25
-0.03y = -10
y = 333.333...
y = about 333
x = 500 - y = 500 - 333 = 167
Then you know why the answer is A.
Step-by-step explanation:
Answer: $13
Step-by-step explanation:
From the question, we divide the number of 362 roles by the amount sold.
That is if 362 roles = $4706
1 role = $4706/362 = $13
1 role costs $13
I hope this helps, please mark as brainliest.
9514 1404 393
Answer:
46°
Step-by-step explanation:
The angle sum theorem tells you a whole angle is the sum of its parts:
∠AKG = ∠AKD +∠DKG
133° = ∠AKD +87°
46° = ∠AKD . . . . . . . . . . subtract 87°
