91. if a rectangular gate is made 30 cm wide and 40 cm tall, what is the measure of the support board put in…

91. if a rectangular gate is made 30 cm wide and 40 cm tall, what is the measure of the support board put in the diagonal of the gate?\n\noa) 25cm\nob) 40cm\noc) 50cm\nod) 70cm\n\n92. a biologist is studying the pollution levels in a local lake. the biologist finds trace levels of the following heavy - metal pollutants: arsenic, mercury, lead, and copper. of these heavy - metal pollutants, the biologist finds that only mercury is present in the lake above recommended epa levels. if the city has agreed to treat pollution for only those heavy - metal pollutants above recommended epa levels, which of the following must be true?\n\ni. the city will treat the lake for arsenic, mercury, lead, and copper pollution.\nii. the city will treat the lake only for mercury pollution.\niii. the city will refer the samples to the epa for further testing.\n\noa) i only\nob) ii only\noc) ii and iii only\nod) i, ii, and iii

91. if a rectangular gate is made 30 cm wide and 40 cm tall, what is the measure of the support board put in the diagonal of the gate?\n\noa) 25cm\nob) 40cm\noc) 50cm\nod) 70cm\n\n92. a biologist is studying the pollution levels in a local lake. the biologist finds trace levels of the following heavy - metal pollutants: arsenic, mercury, lead, and copper. of these heavy - metal pollutants, the biologist finds that only mercury is present in the lake above recommended epa levels. if the city has agreed to treat pollution for only those heavy - metal pollutants above recommended epa levels, which of the following must be true?\n\ni. the city will treat the lake for arsenic, mercury, lead, and copper pollution.\nii. the city will treat the lake only for mercury pollution.\niii. the city will refer the samples to the epa for further testing.\n\noa) i only\nob) ii only\noc) ii and iii only\nod) i, ii, and iii

Answer

91.

Explanation:

Step1: Identify the problem type

This is a right - triangle problem. In a rectangle, the diagonal forms a right - triangle with the sides of the rectangle.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is (a^{2}+b^{2}=c^{2}), where (a = 30) cm and (b = 40) cm. So (c=\sqrt{30^{2}+40^{2}}).

Step3: Calculate the value of (c)

[ \begin{align*} c&=\sqrt{900 + 1600}\ &=\sqrt{2500}\ &= 50 \end{align*} ]

Answer:

C. 50 cm

92.

Brief Explanations:

The city has agreed to treat pollution for only those heavy - metal pollutants above recommended EPA levels. Since only mercury is above the recommended EPA levels among arsenic, mercury, lead, and copper, the city will treat the lake only for mercury pollution. There is no information suggesting that the city will refer the samples to the EPA for further testing.

Answer:

B. II only