(a) is the first one. 48 I would say 8 mins
(b) is the second one. 10 I would say is 96
Answer: Price of Math Textbook= $42.5, Price of the Novel= $11.5
Step-by-step explanation:
Let x = price of the Novel.
Price of Math Textbook = 8+3x
As per given , we have
Price of Math Textbook + Price of the Novel = $54
⇒ 8+3x+x = 54
⇒ 8+4x=54
⇒ 4x = 46 [subtract 8 from both sides]
⇒ x = 11.5
Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5
Hence, Price of Math Textbook= $42.5, Price of the Novel= $11.5
Answer:
<em>146</em>
Step-by-step explanation:
Supllementary angles add up to 180 degrees.
<em>180-34 = 146</em>
Answer:
15.3 m/s
Step-by-step explanation:1) Find the gravitational potential energy using the equation :
![PE_g=mgh](https://tex.z-dn.net/?f=PE_g%3Dmgh)
![PE_g=2.5(12)(9.8)\\PE_g=294](https://tex.z-dn.net/?f=PE_g%3D2.5%2812%29%289.8%29%5C%5CPE_g%3D294)
2) Then use the equation for kinetic energy to solve for the velocity:
![KE=\frac{1}{2} mv^{2}](https://tex.z-dn.net/?f=KE%3D%5Cfrac%7B1%7D%7B2%7D%20mv%5E%7B2%7D)
![294=\frac{1}{2}(2.5)(v^2)\\235.2=v^2\\\sqrt{235.2} =v\\15.3 m/s=v](https://tex.z-dn.net/?f=294%3D%5Cfrac%7B1%7D%7B2%7D%282.5%29%28v%5E2%29%5C%5C235.2%3Dv%5E2%5C%5C%5Csqrt%7B235.2%7D%20%3Dv%5C%5C15.3%20m%2Fs%3Dv)
Answer:
3. = 32 4. = 54 min
Step-by-step explanation: