Hey ! there
Answer:
- Length of x is <u>7</u><u> </u><u>cm</u>
Step-by-step explanation:
In this question we are provided with a right angle triangle having <u>h</u><u>ypotenuse 25</u><u> </u><u>cm </u><u>,</u><u> </u><u>base </u><u>2</u><u>4</u><u> </u><u>cm </u><u>and </u><u>perpendicular</u><u> </u><u>x</u><u> </u><u>.</u> And we are asked to find the <u>length of</u> <u>x </u><u>.</u>
For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,
<u>Where </u><u>,</u>
- H refers to <u>Hypotenuse</u>
- P refers to <u>Perpendicular</u>
<u>SOLUTION</u><u> </u><u>:</u><u> </u><u>-</u>
Here in the triangle ,
- Hypotenuse is <u>2</u><u>5</u><u> </u><u>cm</u>
- Base is <u>2</u><u>4</u><u> </u><u>cm</u>
- Perpendicular is <u>x</u>
<u>Applying</u><u> </u><u>Pythagorean</u><u> </u><u>Theorem</u><u> </u><u>:</u>
<u></u>
On squaring 24 and 24 we get ,
Subtracting 576 on both sides :
We get ,
Applying square root on both sides :
We get ,
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>length</u><u> </u><u>of </u><u>x </u><u>is </u><u>❝</u><u> </u><u>7</u><u> </u><u>cm </u><u>❞</u><u> </u><u>.</u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,
- ( 25 )² = ( <u>7</u> )² + ( 24 )²
<u>Therefore</u><u>,</u><u> our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
Xy = 940
<span>and </span>
<span>Cost = 5(2x) + 5y + 10y (I chose y to be the side with brick). The cost equation simplifies to: </span>
<span>C = 10x + 15y </span>
<span>Replace y in the cost equation with 940/x: </span>
<span>C = 10x + 15(940/x) </span>
<span>C = 10x + 14100/x <---this is the equation you need to minimize. </span>
<span>C' = 10 - 14100/x^2 </span>
<span>10 - 14100/x^2 = 0 </span>
<span>14100/x^2 = 10 </span>
<span>x^2 = 14100/10 = 1410 </span>
<span>x = sqrt(1410) = 37.55 </span>
<span>y = 25.03 <---this is the length of the brick fence.</span>
Answer:
Step-by-step explanation:
For question 3, area is pi times radius squared. I would do 8 divided by 2 to get radius of 4. Then do 3.14() and round to get your answer.
Yes, question 5 is height times length times width, which would be (13)(5)(6) to get 346 s squared. let met look at the rest
Question 8 is v=lwh but you have the base area. So you would do area times height which is (12)(8), which gets you the answer as 96 cm cubed
Question 7 you need to find the surface area, surface area is (l)(w)(h), so (8)(2)(2), so 72 should be your answer
Answer:
55
Step-by-step explanation:
first set up you problem it would look like this 2*11+3*11
now use PEMDAS
so starting with multiplication 2*11 is 22 and 3*11 is 33
now use addition and 22+33 is 55
Water is a drink you drink it when your thirsty