Answer:
80
Step-by-step explanation:first you multiply from left to right and then you will get you answer
Answer:
The length of the hypotenuse is 6 units.
∵ Option D is correct.
Step-by-step explanation:
Given
- The opposite side of angle Ф is
![3\sqrt{2}](https://tex.z-dn.net/?f=3%5Csqrt%7B2%7D)
To determine
The hypotenuse = ?
Using the trigonometric ratio
![sin\:\theta \:\:=\:\:\frac{opposite\:}{hypotenuse}](https://tex.z-dn.net/?f=sin%5C%3A%5Ctheta%20%5C%3A%5C%3A%3D%5C%3A%5C%3A%5Cfrac%7Bopposite%5C%3A%7D%7Bhypotenuse%7D)
In our case,
- The opposite side of the Ф is
![3\sqrt{2}](https://tex.z-dn.net/?f=3%5Csqrt%7B2%7D)
now substituting Ф = 45° and opposite =
in the trigonometric ratio formula
![\sin \left(45^{\circ \:\:}\right)=\:\:\frac{3\sqrt{2}\:}{hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Cleft%2845%5E%7B%5Ccirc%20%5C%3A%5C%3A%7D%5Cright%29%3D%5C%3A%5C%3A%5Cfrac%7B3%5Csqrt%7B2%7D%5C%3A%7D%7Bhypotenuse%7D)
∵ ![\sin \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Csin%20%5Cleft%2845%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29%3D%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
![hypotenuse\:=\frac{2\times 3\sqrt{2}}{\sqrt{2}}](https://tex.z-dn.net/?f=hypotenuse%5C%3A%3D%5Cfrac%7B2%5Ctimes%203%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%7D)
![\:hypotenuse\:=\frac{6\sqrt{2}}{\sqrt{2}}](https://tex.z-dn.net/?f=%5C%3Ahypotenuse%5C%3A%3D%5Cfrac%7B6%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%7D)
units
Therefore, the length of the hypotenuse is 6 units.
∵ Option D is correct.
Answer: Yes
Step-by-step explanation:
The ratios of number found to the number of days are all equal to 14 fossils per day.
(Plus I just did this and got it wrong but saw the right answer which is this)
Answer:
7,000,000,000
Step-by-step explanation:
since the closest number is less than 5 (1<5) you round down making the nearest billion 7
Perimeter: 2l+2w=P
Plug in: 2(35)+3(22)=P
Solve: 70+66=136
The total perimeter of his yard is 136 feet.
Half times $7.25: 136/2=68(7.25)=493
The total cost for half his yard is $493 :)