Marcia can write an expression for the number of candles she will have at the end of "h" hours. She can also write an expression for the number of candles Kevin will have at the end of "h" hours. She can set the two expressions equal to each other and solve for "h", the number of hours until each has the same number of candles.
<span>5h = 4h+7 </span>
<span>h = 7 … subtract 4h from each side </span>
<span>In 7 hours, each will have the same number of candles.</span>
<u>Answer</u><u> </u><u>:</u><u>-</u>
9(3+√3) feet
<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
<u>In ∆ABC , </u>
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
<h3>
<u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
<u>Answer:</u>
The simple interest for $152, 2.5%, 18 month is $5.7
<u>Solution:</u>
Given that, principal amount = $ 152, interest rate = 2.5 % and time period = 18 months.
Now we have to calculate the simple interest for above given values.
We know that, simple interest is given as
By substituting the given values, we get
By converting 18 months to years we get,
Hence, the simple interest is $5.7
Answer:
D. HL (hypotenuse leg)
Step-by-step explanation:
There are two triangles in the picture, ABQ and CDP. The condition for the hypotenuse leg are:
1. both triangles are right triangle
2. the hypotenuse and one of the leg/side is equal
Both B and D angle is 90 degrees, so both triangles is right triangle. The hypotenuse for the triangle is AQ and PC, and both are equal. One of the triangles legs also equal, which is AB and CD. With that, you fulfill HL postulate for the congruent triangle.
Don't confuse this with SAS theorem for the same angle should be on the middle of two equal sides.
Answer:
sss
Step-by-step explanation: