7th Grade Math Please help I will give brainliest!! 19 = 5/3 r Find the value of r

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Answer:

$\huge\boxed{r=\dfrac{57}{5}\to r=11\dfrac{2}{5}\to r=11.4}$

Step-by-step explanation:

$19=\dfrac{5}{3}r\to\dfrac{5}{3}r=19\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{5}{3\!\!\!\!\diagup}r=19\cdot3\\\\5r=57\qquad|\text{divide both sides by 5}\\\\\dfrac{5r}{5}=\dfrac{57}{5}\\\\r=\dfrac{57}{5}\to r=11\dfrac{2}{5}\to r=11.4$

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A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom o

dezoksy [38]

Answer:

12 square inches.

Step-by-step explanation:

Please consider the complete question.

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.

The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.

The area of the sail will be equal to area of triangle.

$\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})$