63 because our only evidence is 56 divided by 8 which is 7 so 7 x 9 equals 63
Answer:
Volume= 10 cm³
Step-by-step explanation:
![V=lwh](https://tex.z-dn.net/?f=V%3Dlwh)
![V=\frac{5}{4} *4*2](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B5%7D%7B4%7D%20%2A4%2A2)
![V=5*2](https://tex.z-dn.net/?f=V%3D5%2A2)
![V=10](https://tex.z-dn.net/?f=V%3D10)
Given:
In ΔABC, AB = 5 unit, BC = 2 unit and ∠C = 90°
To find the The value of ∠B.
Formula
By Trigonometric Ratio we know,
![cos \ \theta=\frac{adj}{hyp}](https://tex.z-dn.net/?f=cos%20%5C%20%5Ctheta%3D%5Cfrac%7Badj%7D%7Bhyp%7D)
Let us take ∠B = θ
With respect to θ, BC is the adjacent side and AB is the hypotenuse.
So,
![cos \ \theta=\frac{BC}{AB}](https://tex.z-dn.net/?f=cos%20%5C%20%5Ctheta%3D%5Cfrac%7BBC%7D%7BAB%7D)
![cos \ B=\frac{2}{5}](https://tex.z-dn.net/?f=cos%20%5C%20B%3D%5Cfrac%7B2%7D%7B5%7D)
![B=cos^{-1} (\frac{2}{5} )](https://tex.z-dn.net/?f=B%3Dcos%5E%7B-1%7D%20%28%5Cfrac%7B2%7D%7B5%7D%20%29)
![B = 66.42^{\circ}](https://tex.z-dn.net/?f=B%20%3D%2066.42%5E%7B%5Ccirc%7D)
Hence, the value of ∠B is 66.42°.
Answer:
3/2=1.5
Step-by-step explanation:
Based on the attached image
![AREA_{ABC}=AREA_{AEC}-AREA_{ABF}-AREA_{CDE}_F-AREA_{BCD}\\AREA_{ABC}=BASE_{AEC}*HEIGHT/2_{AEC}-BASE_{ABF}*HEIGHT_{ABF}/2-BASE_{CDE}_F*BASE_{CDE}_F-BASE_{BCD}*HEIGHT_{BCD}/2\\AREA_{ABC}=3*3/2-1*2/2-1*1-2*1/2=9/2-1-1-1=3/2](https://tex.z-dn.net/?f=AREA_%7BABC%7D%3DAREA_%7BAEC%7D-AREA_%7BABF%7D-AREA_%7BCDE%7D_F-AREA_%7BBCD%7D%5C%5CAREA_%7BABC%7D%3DBASE_%7BAEC%7D%2AHEIGHT%2F2_%7BAEC%7D-BASE_%7BABF%7D%2AHEIGHT_%7BABF%7D%2F2-BASE_%7BCDE%7D_F%2ABASE_%7BCDE%7D_F-BASE_%7BBCD%7D%2AHEIGHT_%7BBCD%7D%2F2%5C%5CAREA_%7BABC%7D%3D3%2A3%2F2-1%2A2%2F2-1%2A1-2%2A1%2F2%3D9%2F2-1-1-1%3D3%2F2)
The correct answer is D.
A number is in scientific notation when it is in the format of a x 10^b, where 0<a<1