Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula 
, where 
is the hypotenuse leg and 
and 
are the other sides. So we can plug the numbers in to the formula:
Now we get the squares of 5 and 10:
Add 25 and 100:
Take the square root from both sides:
The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!
Surface area of cube = 6s²
<span>6s² = 3750
</span>
<span>s² = 3750 / 6
</span>
<span>s² = 625
</span>
s = √625
s = 25
length of one side = 25 feet.
Answer:
a. x(2+3x)b.x= 0, −2/333. a. 2x2(3x−1) b.x= 0, 1/335. a. (x−1)(x−7)b.x= 1, 7 37. a. (x−3)(x+4)b.x= 3, −439. a.
Step-by-step explanation:
Answer:
Explanation:
We can notice that the triangles formed are similar to the original triangle since an altitude is drawn from the right angle.
To find the measure of x, we use ratio:
Triangle 1:
Triangle 2:
So, we use the formula:
We plug in what we know:
![\begin{gathered} \frac{\text{Shorter leg in Triangle 1}}{\text{Shorter leg in Triangle 2}}=\frac{\text{hypotenuse in Triangle 1}}{\text{hypotenuse in Triangle 2}} \\ \frac{4}{x}=\frac{x}{13} \\ \text{Simplify and rearrange} \\ (x)(x)=(4)(13) \\ x^2=52 \\ x=\sqrt[]{52} \\ x=2\sqrt[]{13} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%5Ctext%7BShorter%20leg%20in%20Triangle%201%7D%7D%7B%5Ctext%7BShorter%20leg%20in%20Triangle%202%7D%7D%3D%5Cfrac%7B%5Ctext%7Bhypotenuse%20in%20Triangle%201%7D%7D%7B%5Ctext%7Bhypotenuse%20in%20Triangle%202%7D%7D%20%5C%5C%20%5Cfrac%7B4%7D%7Bx%7D%3D%5Cfrac%7Bx%7D%7B13%7D%20%5C%5C%20%5Ctext%7BSimplify%20and%20rearrange%7D%20%5C%5C%20%28x%29%28x%29%3D%284%29%2813%29%20%5C%5C%20x%5E2%3D52%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B52%7D%20%5C%5C%20x%3D2%5Csqrt%5B%5D%7B13%7D%20%5Cend%7Bgathered%7D)
Therefore, the answer is:
![x=2\sqrt[]{13}](https://tex.z-dn.net/?f=x%3D2%5Csqrt%5B%5D%7B13%7D)
Answer:
$17.12
Step-by-step explanation:
$21.40x.20= $4.28
$21.40-$4.28=$17.12
