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>
Answer:
no solution
Step-by-step explanation:
With some linear expressions, like this one, that has an answer of 0 has no solution
Answer: removes liquid waste and hormones from the blood and works closely with the nervous system.
Step-by-step explanation: i dunno just researched it online lol
<span>Let the price of mini golf be $x
Let the price of batting cage be $y
Sylvester:
Price for 5 rounds of mini golf = 5x
Price for 4 rounds of batting cage =4y
Total price paid =$60
Therefore the required equation is:
5x+4y=60 ----------(1)
Lin:
Price for 3 rounds of mini golf =3x
Price for 6 rounds of batting cage =6y
Total price paid = $45
Therefore the required equation is:
3x+6y=45 ----------(2)
Let's use elimination method to find the prices.
Multiply the first equation by 3
15x + 12y =180 -------(3)
Multiply the second equation by 5
15x +30y=225 --------(4)
Subtract equation (4) from equation (3) to eliminate x
15x+12y=180
15x+30y=225
-___-___-________
-18y = -45
y=45/18 =2.5
Substituting y in equation (1)
5x+4(2.5)=60
5x+10=60
5x=50
x=50/5 = 10
Price of mini golf =$2.5
Price of batting cage =$10.00</span>
Answer:
Step-by-step explanation:
<u>Method 1:</u>
$300 on school supplies
1/10 on notebooks
As you're finding how much is left:
10/10-1/10=9/10
Convert 9/10 into a decimal
9/10=0.9
300*0.9=$270
OR
<u>Method 2: </u>
1/10=0.1
300*0.1=$30
Take away 30 from $300
$300-30=$270
By using either method, You would still have $270 left.
How this helps!!!
Have a nice day :)