The angle could be named these two different ways:
angle CAD or angle DAC.
This question doesn't say what type of math expression is desired. Given the input data, I've chosen to find Jack's average speed during the 50 meter freestyle:
50 m
------------ = 1.92 m/sec
26 sec
Answer:
30 different types of tacos can Rico make.
Step-by-step explanation:
Given - The list below shows the different taco shells, fillings, and toppings sold at Rico's Taco Bar.
Taco Shells Fillings Toppings
Soft Chicken Cheese
Hard Beef Lettuce
Bean Sour Cream
Onions
Salsa
To find - How many different types of tacos can Rico make using one taco shell, one filling, and one topping?
Proof -
Given that,
There are 2 different types of Taco shells, 3 different type of fillings and 5 different types of toppings.
So, by the fundamental principal of counting,
Total types of tacos Rico made = 2 × 3 ×5 = 30
we know the two triangles are congruent because BD = BD. Also, AD = CD because it is bisecting AC. Since these triangles are congruent, we know that congruent parts of congruent triangles are congruent, so angle 1 is congruent to angle 4.
Answer:
![3 \sqrt{2}](https://tex.z-dn.net/?f=%203%20%5Csqrt%7B2%7D%20)
Step-by-step explanation:
![-3 \sqrt{2} + 3 \sqrt{8} =](https://tex.z-dn.net/?f=%20-3%20%5Csqrt%7B2%7D%20%2B%203%20%5Csqrt%7B8%7D%20%3D%20)
To add or subtract square roots, you must be taking the square roots of the same number. We need to change square root of 8 into a number times square root of 2.
![= -3 \sqrt{2} + 3 \sqrt{4 \times 2}](https://tex.z-dn.net/?f=%20%3D%20-3%20%5Csqrt%7B2%7D%20%2B%203%20%5Csqrt%7B4%20%5Ctimes%202%7D%20)
![= -3 \sqrt{2} + 3\sqrt{4} \times \sqrt{2}](https://tex.z-dn.net/?f=%20%3D%20-3%20%5Csqrt%7B2%7D%20%2B%203%5Csqrt%7B4%7D%20%5Ctimes%20%5Csqrt%7B2%7D%20)
![= -3 \sqrt{2} + 3 \times 2 \times \sqrt{2}](https://tex.z-dn.net/?f=%20%3D%20-3%20%5Csqrt%7B2%7D%20%2B%203%20%5Ctimes%202%20%5Ctimes%20%5Csqrt%7B2%7D%20)
![= -3 \sqrt{2} + 6 \sqrt{2}](https://tex.z-dn.net/?f=%20%3D%20-3%20%5Csqrt%7B2%7D%20%2B%206%20%5Csqrt%7B2%7D%20)
Now that we have two square roots of 2, we add them like we add like terms.
![= 3 \sqrt{2}](https://tex.z-dn.net/?f=%20%3D%203%20%5Csqrt%7B2%7D%20)