She originally had $400 in her bank account.
The 50w represents the amount she will put away each week.
4ft divided by 2/3ft
4/1 divided by 2/3
4/1 times 3/2 is 12/2 or 6 pieces, 0 remaining.
X= -5/2 (0.4)
or
x= -2 1/2 (2.5)
Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
Answer:
the slope-intercept equation of a line that passes through the coordinate (-4,5) and (8,-1) is

Step-by-step explanation:
1) Apply the slope formula; y^2 - y^1 divided by x^2 - x^1
y^2 is -1
y^1 is 5
x^2 is 8
x^1 is -4
-1 - 5 = -6
8 - (-4) = 12
-6/12 is -1/2 or -0.5
2) To find the y-intercept, hoose either of the coordinates and replace y, m, and x in the y= mx+b formula.
5= -0.5(-4) + b
5= 2 + b
3= b