Suppose Galileo and his assistant were 1 km apart when Galileo uncovered his lantern to try to measure the speed of light. How long would it have taken the light signal to reach his assistant?
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Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:An angle POQ is drawn. Two similar arcs intersect OP and OQ. Two more similar arcs intersect each other at a point S and a dashed line is drawn from O to S, such that OS bisects angle POQ Which could be the measures of angle POS and angle POQ?
has a beta of 12 , and iss realted rote of return has averaged 13.0% over the past 5 vears. Round veur enswer to twe dedimal places.
I am about to fail this math class. I would like to verify that my answers are right. Please help.Find the distance from the given point to the vertical axis.(7, −6)Determine the value of k such that the points whose coordinates are given lie on the same line.(k, 0), (0, −1), (10, −11)Find the slope of the line containing the given points. P1(5, −9), P2(1, 7)Find the equation of the line that passes through the midpoint of the line segment between P1(4, 1) and P2(−2, 3) and has slope of 3.Let y be the dependent variable and let x be the independent variable.Find the equation of the line that contains the given point and has the given slope.P(0, 6), m = 1Suppose a ball is being twirled at the end of a string and the center of rotation is the origin of a coordinate system. If the string breaks, the initial path of the ball is on a line that is perpendicular to the radius of the circle. Suppose the string breaks when the ball is at the point whose coordinates are P(3, 9). Find the equation of the line on which the initial path liesDuring one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $331. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.
What is the mean of Variable A? Express answer to one decimal place. Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable A. The vertical axis is labeled Variable B. Points are plotted at (two, two), (two, eight), (four, three), (five, one), (six, three), (seven, five), (eight, six), (nine, two).
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Note that the exact value of csc 60° with a rational denominator is (2√3)/3.
How to compute the above
The reciprocal identity states that csc(theta) = 1/sin(θ).
Since we know that sin 60 degrees = √3/2, we can substitute this value into the reciprocal identity -
csc 60° = 1/(√3/2).
To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator -
csc 60°= (1/(√3/2)) * (√3/√3).
csc 60° = √3/(√3 * (√3/2)).
= √3/(√3 * √3/2).
= √3/(√9/2).
= √3/(3/2).
To divide by a fraction, we multiply by its reciprocal -
csc 60° = √3 * (2/3).
csc 60° = (2√3)/3.
So it is correct to state that , the exact value of csc 60° with a rational denominator is (2√3)/3.
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A.
9
B.
3
C.
–3
D.
–9
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Simplify the innermost numbers first.
Simplify.
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(7c)^2 - (5d^3)^2
(7c + 5d^3)(7c - 5d^3)
The answer is: (7c + 5d^3)(7c - 5d^3).
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Answer:
A
Step-by-step explanation:
i just did the test
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In accordance with given data correct answer is
RD= 85% * 50 = 0.85 * 50 = 42.5 ounces of red dye.
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Final answer:
Phil used 42.5 ounces of red dye in the process of making 50 ounces of purple dye, given that the mixture was 85% red dye.
Explanation:
The question is asking us to determine how many ounces of red dye was used in the mixing process to produce 50 ounces of purple dye. Phil used a solution of 15% blue dye and 85% red dye. Therefore, the amount of red dye used can be computed by taking 85% of the total amount of dye made, which is 50 ounces.
To do this, we multiply the total ounces of dye (50 ounces) by the percentage of red dye (85%) used in the mixture. Mathematically, this is represented by the equation: (85/100) * 50.
Therefore, Phil used 42.5 ounces of red dye in the mixing process to make the purple dye.
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Answer:
Step-by-step explanation:
10 miles divided by 2.5 hours is 4 miles per hour.
10/2.5 = 4