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
Answer:
5 1/3 mph or 5.33mph
Step-by-step explanation:
1/3 of a mile / 1/16 of an hour = MPH. In order to divide fractions you flip the bottom fraction and multiply across. 1/3 / 1/16 = 1/3 * 16/1 = 16/3 = 5 1/3 = 5.33mph
Answer:
a toxin or other foreign substance which induces an immune response in the body, especially the production of antibodies.
Answer:
25 times 100= 2500
Step-by-step explanation:
Answer:
A su mamá
= 2937 pesos
A su hermano
= 1566.4 pesos
El resto para ella
= 3328.6 pesos
Step-by-step explanation:
El número total de pesos que cada uno consiguió se calcula como:
Su madre
= 3/8 del total
= 3/8 × 7832
= 2937 pesos
Su hermano
= 1/5 del total
= 1/5 × 7832
= 1566.4 pesos
Sí misma
= El resto
= 7832 - (2937 + 1566,4)
= 7832 - 4503.4
= 3328.6 pesos
