Mr. Malone can heat his house in the winter by burning three cords of wood, by sing natural gas, or by combination of the two. H
1 answer:
Answer:
The linear equation can be written as
Step-by-step explanation:
Given that "Mr. Malone can heat his house in the winter by burning three cords of wood, by sing natural gas, or by combination of the two"
And his heating budget for the winter is $600
To find a linear equation that describes the problem:
Let the cords of wood be x and let sing natural gas be y
So that the combination of the cords of wood and sing natural gas is x+y
Now the linear equation can be written as
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Answer:
- m∠A ≈ 53.13°
- m∠B ≈ 73.74°
- m∠C ≈ 53.13°
Step-by-step explanation:
An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.
Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.
m∠A = m∠C ≈ 53.13°
m∠B ≈ 73.74°
_____
The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:
Cos = Adjacent/Hypotenuse
If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.
A diagram does not have to be sophisticated to be useful.
Answer:
The area of the shaded region is 0.2898.
Step-by-step explanation:
Let <em>X</em> represent the IQ scores of adults.
It is provided that .
Compute the probability of an adult having an IQ between 106 and 124 as follows:
*Use a <em>z</em>-table.
Thus, the area of the shaded region is 0.2898.