if a storm window has an area of 315 square inches what are the dimensions if the window is 6 inches higher than it is wide ( x represents height)?

Answers

Answer 1

Answer: Hey there! The formula for area is area=l*w, l=w+6. Let's begin, 315=(w+6)(w), 315=w^2+6w, 0=w^2+6w-315, 0=(w+21)(w-15), w+21=0w-15=0, w=-21w=15. Therefore, we come up with a answer of w=15 and l=21.

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What is 12 percent of 120?

Answers

12% of 120 is 14.4

Change the percentage into a decimal by dividing over 100:

12 / 100 = 0.12

Multiply:

0.12 × 120 = 14.4

Answer:

$12\% \: of \: 120 \n (12)/(100) * 120 \n (1440)/(100) \n \boxed{14.4}$

Match each expression with its simplified form.1. a/(a^2-4)+2/(3a+6)
2.5/a+7
3.a/ab-3/b
4.6/ab+8/a
5.3a/4b^2-b/6a

Answers

$(a)/(a^2-4)+(2)/(3a+6) = (a)/((a-2)(a+2)) + (2)/(3(a+2)) = \n\n(3a)/(3(a-2)(a+2))+(2(a-2))/(3(a+2)(a-2)) = \n\n(3a+2a-4)/(3(a^2-4)) = (5a-4)/(3a^2-12)$

$(5)/(a)+7 = (5)/(a)+(7a)/(a) = (7a+5)/(a)\n\n\n(a)/(ab)-(3)/(b) = (1)/(b) -(3)/(b) = (1-3)/(b) = -(2)/(b)\n\n(6)/(ab)+(8)/(a) = (6)/(ab)+(8b)/(ab) = (6+8b)/(ab)\n\n(3a)/(4b^2) - (b)/(6a) = (9a^2)/(12ab^2) - (2b^3)/(12ab^2) = (9a^2-2b^3)/(12ab^2)$

Z=1+4iFind the angle 0(theta) in degrees that z makes in the complex plane.
Round your answer, if necessary, to the nearest tenth. Express 0(theta) between -180 and 180 degrees.

Answers

Answer:

76.0 degrees

Step-by-step explanation:

Just got it right on the Khan Academy quiz.

Final answer:

The angle θ that z makes in the complex plane is approximately 75.96°.

Explanation:

The complex plane is a mathematical concept used in complex numbers. It's a two-dimensional Cartesian coordinate system where the horizontal axis represents the real part of a complex number, and the vertical axis represents the imaginary part. Complex numbers are plotted as points in this plane, facilitating operations like addition, subtraction, multiplication, and division of complex numbers.

To find the angle θ that z makes in the complex plane, we can use the formula: θ = arctan(y/x), where x and y are the real and imaginary parts of z respectively. In this case, x = 1 and y = 4 as given. Plugging these values into the formula, we get: θ = arctan(4/1). Using a calculator, we find that θ ≈ 75.96°.

Learn more about Complex Plane here:

brainly.com/question/33093682

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Round 446,221 to the nearest ten

Answers

446,221 to the nearest ten is 446,220. This is because 1 is less than 5, and it’s only when a number is more than or equal to 5 that you round up to the nearest 10.

A customers services representative earns $13 an hour and he works 24 hours a week . What is his weekly wage

Answers

The Answer is $312

Your welcome

well , this is common sense . multiply 24 hrs * 13$ and wallah magic you end up with 312$ a week.

Jimmy and 4 of his friends went out to eat. They decided to split the bill evenly. Each person paid $13. What was the bills total?

Answers

Answer:

$65

Step-by-step explanation:

5x13= 65

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If it is 11:45 a.m., what will the time be 3 hours and 15 minutes later?4:15 p.m. 2:45 p.m. 3:15 a.m. 3:00 p.m.

For the equation y = 3x2 − 4x + 11, choose the correct application of the quadratic formula. x equals four plus or minus the square root of negative four squared minus four times three times eleven, all divided by two ti x equals negative four plus or minus the square root of negative four squared minus four times three times eleven, all divided x equals negative three plus or minus the square root of three squared minus four times negative four times eleven, all divided x equals three plus or minus the square root of three squared minus four times negative four times eleven, all divided by two t