The answer is 1180 dollars. You can just multiply 295 x4
Answer:
The answer is 264in
Step-by-step explanation:
3*8*11=264
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
Answer:
Step-by-step explanation:
From the picture attached,
Area of ΔECD =
= 
From ΔEFD,
sin(32°) = 
sin(32°) = 
EF = 14 × sin(32°)
= 7.42 cm
By cosine rule,
EC² = DE² + CD² - 2(DE)(CD)cos(32°)
EC² = 14² + 27² - 2(14)(27)cos(32°)
EC² = 196 + 729 - 641.12
EC² = 283.88
EC = 16.85 cm
Area of ΔECD = Area of ΔAEB = 
= 100.17
Area of ΔECD + Area of ΔAEB = 2(100.17)
= 200.34 cm²
Area of sector BEC = 
Here, θ = central angle of the sector
Area of sector BEC = 
= 
= 260.16 cm²
Area of the logo = Area of triangles AEB + Area of triangle ECD + Area of sector BEC
= 200.34 + 260.16
= 460.50
≈ 460 cm²