Answer:
The length of the rectangle is 12cm and the area of the rectangle is 60cm2.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2
52+b2=132
25+b2=169
25−25+b2=169−25
b2=144
√b2=√144
b=±12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.
The area of a rectangle is given by multiplying the width by the length.
A=(5cm)(12cm)
A=60cm2
The answer is C, because there are two different numbers correlated to the same number on the Y side. The table does not represent a function.
Answer:
A. O 5
Step-by-step explanation:
1830 ÷ 31 = 59.032258...
The first non-zero digit of the quotient is 5.
Answer:
d = 6
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 23 and a₁₁ = 65 , then
a₁ + 3d = 23 → (1)
a₁ + 10d = 65 → (2)
Subtract (1) from (2) term by term to eliminate a₁
10d - 3d = 65 - 23
7d = 42 ( divide both sides by 7 )
d = 6
Answer:
6
Step-by-step explanation:
11 = 11*1
8 = 2*4
They have no common factors, so the LCM (least common multiple) is
2*4*11 = 88
The multiples of 8 and 11 below 600 are multiples of 88
88*1 =88
88*2 =176
88*3 =264
88*4 =352
88*5 =440
88*6 =528
This is the last multiple because if we add 88 if would be over 600
