Wet-cell batteries are typically used to supply eletrical energy to

If the perimeter of a rhombus is 164 and the length of the longer diagonal is 80, find the length of the shorter diagonal.

AysviL [449]

A rhombus has four equal sides. If the perimeter of this rhombus is 164, then the length of one side is 164/4, or 41.

Draw this rhombus. Label all four sides with "41." Label the longer diagonal 80 and the half length of that diagonal 40. You will see inside the rhombus four congruent triangles with hypotenuse 41, leg 10 and unknown height. Thus, this unknown height is found by solving x^2 + 40^2 = 41^2, and x^2=9, so that the length of the shorter diagonal is 2(2) = 18 (answer).

6 0

4 years ago

Samuel filled the glasses shown below completely with water. The total amount of water that Samuel poured into the glasses is 60

Rama09 [41]

The height of the cylinder (glass 1) we call h so the volume is 4πh cc.
The volume of the cone is ⅓×2.5²×6π=12.5π cc.
If we divide 60 by π we get 19.11 cc approx.
So 4h+12.5=19.11, 4h=6.61 cc and h=1.7 cm approx, answer 2.

3 0

4 years ago

Read 2 more answers

Maria, Carolina and Pedro receives $1600 from their grandfather in ratio 7:5:4. calculate share of each.

Nimfa-mama [501]

Step-by-step explanation:

here's your solution

=> total money received by them = $1600

=> the given ratio are 7:5:4

=> let the ratio be X ,now

=> Maria = 7X

=> Carolina = 5X