The ratio of OC to OA is OC/ 10√2 - OC
<u>Explanation:</u>
Given -
AD = 4 cm
M is the midpoint of CD
Ratio of OC to OA = ?
In a square, all the interior angles are 90°
Therefore,
ΔADC, ΔABC and ΔBCM are right angled triangle
AC is the diagonal which divides ∠DAB and ∠DCB equally
If AD = 4 cm, then AB, BC and DC are also 4cm
In ΔADC,
(AC)² = (AD)² + (DC)²
(AC)² = (10)² + (10)²
AC = 10√2 cm
AC = OA + OC
OA = AC - OC
OC/OA = OC / AC - OC
OC / OA = OC / 10√2 - OC
Therefore, the ratio of OC to OA is OC/ 10√2 - OC
Answer:
The regular size is more economical.
Step-by-step explanation:
Consider the provided information.
A regular tube of toothpaste costs $2.50 for 3.2 ounces.
Find out the unit rate as shown below:

Therefore, the cost of one ounce is $0.78.
A travel size tube costs $1.00 for 1.2 ounces.
Find out the unit rate as shown below:

Therefore, the cost of one ounce is $0.833.
From the above calculation we can observe that regular tube toothpaste price is better buy.
Now find the percent as shown:
Firs find the difference
$0.83-$0.78 = $0.05
Therefore,

Hence, regular tube is 6.41% less costly as compare to travel size.
Answer:
350
Step-by-step explanation:
The graph that matches the following system of equation is; the picture of a coordinate plane with line y equals negative 4x minus 1 and line y equals minus 3 over 2 times x plus 4. They intersect at negative 2, 7.
<h3>What is the graph of a function?</h3>
The graph of a function y = f(x) shows the position of the x-intercepts and y-intercepts from the graph from which the slope can be drawn.
The system of linear equations can be rewritten in slope-intercept form as follows:
y = -4x - 1
y = -3/2x + 4
From the graph, the two equations intercept at point (-2,7).
Learn more about plotting the graph of a function here:
brainly.com/question/3939432
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Answer:
B
Step-by-step explanation:
because 4 and 3 are grouped together you would add them first. this would change the outcome of the problem.