Answer:
Step-by-step explanation:
Given,
Length of a rectangle = 20 inches
Perimeter of a rectangle = 64 inches
Area of a rectangle = ?
Let width of a rectangle be ' w ' .
<u>Fi</u><u>rst</u><u>,</u><u> </u><u>finding </u><u>the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectangle</u>
plug the values
⇒
Distribute 2 through the parentheses
⇒
Swap the sides of the equation
⇒
Move 2w to right hand side and change it's sign
⇒
Subtract 40 from 64
⇒
Divide both sides of the equation by 2
⇒
Calculate
⇒
Width of a rectangle ( w ) = 12 inches
<u>Now</u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of </u><u>a</u><u> </u><u>rectangle</u><u> </u><u>having</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>2</u><u>0</u><u> </u><u>inches</u><u> </u><u>and </u><u>width </u><u>of</u><u> </u><u>1</u><u>2</u><u> </u><u>inches</u>
plug the values
⇒
Multiply the numbers : 20 and 12
⇒
Hence, Area of a rectangle = 240 inches²
Hope I helped !
Best regards!
Answer:
<em>5,9,13,17,21</em>
Step-by-step explanation:
We can the values in "n"
a(1)=4(1)+1
a(1)=5
a(2)=4(2)+1
a(2)=9
a(3)=4(3)+1
a(3)=13
a(4)=4(4)+1
a(4)=17
a(5)=4(5)+1
a(5)=21
As you can see, each value consecutively increases by 4, this is also known as the common difference (d).
4 x 50 = 200
200 - 5 = 195
195 is the answer hope this helps
For this case we have to define trigonometric relations of rectangular triangles that:
- The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.
- The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.
Then, according to the figure we have:
Answer:
Option D