Answer:
Answer:
-2l^2+50l-300 ≥ 0
l(50 − 2l) ≥ 300
(l − 15)(l − 10) ≤ 0
Step-by-step explanation:
Explanation:
Area of the kennel: l(50 − 2l)
Minimum enclosed area required: 300 square feet
The situation is represented by the non-strict inequality l(50 − 2l) ≥ 300.
Solving the inequality, gives several equivalent statements:
50l − 2l2 ≥ 300
-2l2 + 50l − 300 ≥ 0
-2(l2 − 25l + 150) ≥ 0
-2(l − 15)(l − 10) ≥ 0
(l − 15)(l − 10) ≤ 0
I am taking this class and I got the question right
Answer:
d
Step-by-step explanation:
![\cos^{2} \theta+\sin^{2} \theta=1 \\ \\ \sin^{2} \theta+\frac{1}{16}=1 \\ \\ \sin^{2} \theta=\frac{15}{16} \\ \\ \sin \theta=-\frac{\sqrt{15}}{4} \\ \\ \csc \theta=-\frac{4}{\sqrt{15}}](https://tex.z-dn.net/?f=%5Ccos%5E%7B2%7D%20%5Ctheta%2B%5Csin%5E%7B2%7D%20%5Ctheta%3D1%20%5C%5C%20%5C%5C%20%5Csin%5E%7B2%7D%20%5Ctheta%2B%5Cfrac%7B1%7D%7B16%7D%3D1%20%5C%5C%20%5C%5C%20%5Csin%5E%7B2%7D%20%5Ctheta%3D%5Cfrac%7B15%7D%7B16%7D%20%5C%5C%20%5C%5C%20%5Csin%20%5Ctheta%3D-%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5Ccsc%20%5Ctheta%3D-%5Cfrac%7B4%7D%7B%5Csqrt%7B15%7D%7D)
Answer:
456 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Step-by-step explanation:
Find the height of the trapezoid first (QR):
= 12
QR = 12
Area:
× h =
× 12
= 456 ![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Answer:
1) 2/7; 43; 3/7
2) C
3) 30; 30; 10; is not; 10; is not
Step-by-step explanation:
1) y + 4/7 = 6/7
y = 6/7 - 4/7
y = 2/7
17 + b = 60
b = 60 - 17
b = 43
6/7 = m + 3/7
m = 6/7 - 3/7
m = 3/7
2) 11.5 - x = 5.25
x = 11.5 - 5.25
x = 6.25
3) he can substitute 30 for t.
He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).
Since 15 is not equal to 10, Harry's solution is not correct