Last option is the correct answer.
Step-by-step explanation:
Given that
Let x stand for the solution a and y stand for the solution B
So,
According to statement that
30 gallons have to be made

Solution A contains 29 percent bromine => 0.29x
Solution B contains 53 percent =>0.53y
And the mixture of 30 gallons contains 45% bromine

Following equations will be used for solving the problem

Hence,
Last option is the correct answer.
Keywords: Equations, Variables
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Step-by-step explanation:
It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.
<u>Let me define the each terms.</u>
1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.
2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.
Similarly,
- There is 8 angle in a regular octagon and each angle measurement is 135°.
So, sum of the angles of an octagon = 135° × 8
Sum of the angles of an octagon = 1080°
Therefore, the required sum of the angles of an octagon is 1080°
Hello!
To find cosine, use the formula cos = adjacent / hypotenuse.
According to angle B, adjacent of angle B is side A, and the hypotenuse is side c because the hypotenuse is always opposite the right angle.
Therefore, the cosine of angle B is a/c.
We are asked to find the principal value of
cos ⁻¹ (0.69)
which is just the least positive angle
cos ⁻¹ (0.69) = 46.37°
Other values of
cos ⁻¹ (0.69) is
46.37° - 180° n
where n is a whole number
Answer:
10.2625
Step-by-step explanation: