Answer:
D. 10.2
Step-by-step explanation:
Since the triangle is a right triangle we can use the Pythagorean theorem.
I will call the hypotenuse
, so in this case:
![h=19](https://tex.z-dn.net/?f=h%3D19)
and one leg will be
, in this case:
![l=16](https://tex.z-dn.net/?f=l%3D16)
and the unknown for this problem is the other leg which in the image is called
.
So the formula for the Pythagorean theorem:
![h^2=l^2+x^2](https://tex.z-dn.net/?f=h%5E2%3Dl%5E2%2Bx%5E2)
clearing for x:
![x^2=h^2-l^2\\x=\sqrt{h^2-l^2}](https://tex.z-dn.net/?f=x%5E2%3Dh%5E2-l%5E2%5C%5Cx%3D%5Csqrt%7Bh%5E2-l%5E2%7D)
substituting
and
:
![x=\sqrt{19^2-16^2}\\ x=\sqrt{361-256}\\ x=\sqrt{105}\\ x=10.2](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B19%5E2-16%5E2%7D%5C%5C%20x%3D%5Csqrt%7B361-256%7D%5C%5C%20x%3D%5Csqrt%7B105%7D%5C%5C%20x%3D10.2)
the value of x is option D. 10.2
The correct answer is C. 65
Explanation:
The serving size of the soft drink is 8oz, besides this, the amount of sugar for this serving size according to the label is 26 grames. Now, to calculate the amount of sugar in 20oz, one of the simplest methods is to use a rule of three, because three values are known, and one is missing. The process is shown below:
1. Write the known values and use x to represent the unknown values
8 oz = 26 grames of sugar
20 oz = x
2. Use cross multiplication (this means multiply 8 x 6) and divide it into the remaining value
or x = 26 x 20 / 8
3. Solve the equation
or x = 520 / 8
![x = 65](https://tex.z-dn.net/?f=x%20%3D%2065)
See attached graph
Step-by-step explanation:
The equation is given as;
![\frac{1}{(x-2)^2} +10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%28x-2%29%5E2%7D%20%2B10)
Using a graph tool to graph the expression gives the attached graph;
Learn More
Graphing a reciprocal of a quadratic function :brainly.com/question/11921406
Keyword :graph
#LearnwithBrainly
Answer:
y^3 + 3^3
Step-by-step explanation:
1) Multiply each term of (y^2-3y+9) by y: y^3 - 3y^2 + 9y
2) Multiply each term of (y^2-3y+9) by 3: 3y^2 - 9y + 27
3) Add all of these terms together: y^3 + 27 = y^3 + 3^3
Note: this is an example of 'special products and factoring.'