Use the image below to answer the following question: A right triangle is shown. The two angles that are not 90 degrees are marked x and y. The leg across from angle y measuring 5, another leg across from angle x measuring 12, and the hypotenuse measuring 13.

What relationship do the ratios of sin x° and cos y° share?

The ratios are both identical. (12 over 13 and 12 over 13)
The ratios are opposites. (negative 12 over 13 and 12 over 13)
The ratios are reciprocals. (12 over 13 and 13 over 12)
The ratios are both negative. (negative 12 over 13 and negative 13 over 12)

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

If the discriminant if a quadratic equation is 4 which statement describes the roots?

Rewrite the following quadratic functions in intercept or factored form. show your work. f(t) = 20t^2 + 14t - 12