If 140 bricks are used to build a wall 20 feet high, how many bricks will you use to build a wall 30 feet high?
1 answer:
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Answer:
Rounded to the nearest hundredths: 11.69.
Step-by-step explanation:
I would use the Pythagorean theorem for this problem.
The difference between the highest point and the lowest point of AD is 9.8-7.2 = 2.6, so that would be the height of the triangle. The length/base of the triangle would be 11.4.
Now, just solve using Pythagorean's theorem:
Rounded to the nearest hundredths: 11.69.
I hope this helped you.
Answer:
m∠CAB = 66°
m∠CAD = 24°
Step-by-step explanation:
<em>m∠CAB</em>
The given parameters are;
The measure of arc m = 228°
The diameter of the given circle =
The tangent to the circle =
The measure of m∠CAB and m∠CAD = Required
By the tangent and chord circle theorem, we have;
m∠CAB = (1/2) × m
However, we have;
m + m
= 360° the sum of angles at the center of a circle is 360°
∴ m = 360° - m
Which gives;
m = 360° - 228° = 132°
m = 132°
Therefore;
m∠CAB = (1/2) × 132° = 66°
m∠CAB = 66°
<em>m∠CAD</em>
Given that is the diameter of the given circle, we have
The tangent, , is perpendicular to the radius of the circle, and therefore
is also perpendicular to the diameter of the circle
∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines
By angle addition property, we have;
m∠DAB = m∠CAB + m∠CAD
∴ m∠CAD = m∠DAB - m∠CAB
By substitution, we have;
m∠CAD = 90° - 66° = 24°
m∠CAD = 24°
Answer:
All positive real numbers
Step-by-step explanation:
Given
The model can be represented as:
Required
Determine the domain
This means that we list out possible values of x.
If x represents time, then it is impossible for x to be negative.
This implies that x can take any value as long as it is greater than or equal to 0.
<em>Hence, the domain is all positive real numbers</em>