Answer:
The ansswer is the last one. (Crazy)
Step-by-step explanation:
Answer:
£9,£21
Step-by-step explanation:
richard:andrew=3:7
3+7=10
£30÷10=£3
richard=3×£3=£9
andrew=7×£3=£21
Answer:
5.8
Step-by-step explanation:
Y e s .
Using the Distance formula and all.
Answer:
![5 ^{2} \times 2^{4}](https://tex.z-dn.net/?f=5%20%5E%7B2%7D%20%20%5Ctimes%202%5E%7B4%7D%20)
Step-by-step explanation:
Multiplying 5 by itself is the same thing as raising it to the second power:
![5 \times 5 = {5}^{2} = 25](https://tex.z-dn.net/?f=5%20%5Ctimes%205%20%3D%20%7B5%7D%5E%7B2%7D%20%20%3D%2025)
We multiply 2 by itself two seperate times. That's the same thing as raising 2 to the second power to the second power or in simpler terms raising two to the fourth power:
![2 \times 2 \times 2 \times 2 = {({2}^{2})}^{2} = {2}^{4} = 16](https://tex.z-dn.net/?f=2%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%3D%20%7B%28%7B2%7D%5E%7B2%7D%29%7D%5E%7B2%7D%20%20%3D%20%20%7B2%7D%5E%7B4%7D%20%20%3D%2016)
Since only multiplication is present, we can combine the two terms to get:
![5^{2} \times {2}^{4}](https://tex.z-dn.net/?f=5%5E%7B2%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B4%7D%20)
We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.
First of all, we will draw a triangle as shown in the attachment.
We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.
![\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%3D%5Cfrac%7B%5Ctext%7BOpposite%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\text{sin}(\angle J)=\frac{22}{54}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%28%5Cangle%20J%29%3D%5Cfrac%7B22%7D%7B54%7D)
Using inverse sine or arcsin, we will get:
![\angle J=\text{sin}^{-1}(\frac{22}{54})](https://tex.z-dn.net/?f=%5Cangle%20J%3D%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7B22%7D%7B54%7D%29)
![\angle J=24.042075905756^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20J%3D24.042075905756%5E%7B%5Ccirc%7D)
Upon rounding to nearest degree, we will get:
![\angle J\approx 24^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20J%5Capprox%2024%5E%7B%5Ccirc%7D)
Therefore, the measure of angle J is approximately 24 degrees.