Write the ratio of length to width of a standard index card as a decimal. Express your answer to the nearest hundredth.

Fill in the blank(s) with the appropriate word(s).


1.67

Mathematics

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Apply Green's Theorem to evaluate the integral.(y2 + 4) dx + (x2 + 4) dyC: The triangle bounded by x = 0, x + y = 5, y = 0

A.
B. 500
C. -375
D. 0

Mathematics

Solve the problem. If necessary, refer to the table below.?Monthly Payments to Repay Principal and Interest on a $1000 Mortgage  Term of Mortgage (Years)In order to purchase a home, a family borrows $85,000 at an annual interest rate of 5%, to be paid back over a  period in equal monthly payments. How much interest will they pay over the  period? Round to the nearest dollar.

A. $35,991 B. $647,773 C. $116,741 D. $120,991

Mathematics

Find the area of the region.  7 mi

A. 52 sq mi B. 28 sq mi C. 45 sq mi D. 49 sq mi

Mathematics

Use a half-angle formula to find the exact value of the expression.tan 165°

A. - + 2
B. - - 2
C.  - 2
D.  + 2

Mathematics