Answer:
10
Step-by-step explanation:
296/26 = 11.3846153846
Now round it to the nearest tenth = 11.40
round to the nearest whole number = 11
To the nearest zero digit = 10
Answer:
9
Step-by-step explanation:
a²+b where a= -2, b=5
(-2)²+(5)
=4+5
=9
Answer:
a ≈ 4.9
Step-by-step explanation:
using the Cosine Rule in Δ ABC
a² = b² + c² - (2bc cosA )
= 16² + 18² - (2 × 16 × 18 × cos15° )
= 256 + 324 - (576cos15° )
= 580 - 576cos15
= 23.6267 ( take square root of both sides )
a = ![\sqrt{23.6267}](https://tex.z-dn.net/?f=%5Csqrt%7B23.6267%7D)
≈ 4.9 ( to the nearest tenth )
The answer is 11 and 16
16-11=5
16*11=176
X - male lions
y - female lions
The ratio of the number of male lions to female lions is 21:20.
![\frac{x}{y}=\frac{21}{20} \\ x=\frac{21}{20}y](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B21%7D%7B20%7D%20%5C%5C%20x%3D%5Cfrac%7B21%7D%7B20%7Dy)
There are 123 lions.
![x+y=123 \\ x=123-y](https://tex.z-dn.net/?f=x%2By%3D123%20%5C%5C%0Ax%3D123-y)
Set both equations equal to each other:
![x=x \\ \frac{21}{20}y=123-y \ \ \ |+y \\ \frac{21}{20}y+y=123 \ \ \ |\times 20 \\ 21y+20y=2460 \\ 41y=2460 \ \ \ |\div 41 \\ y=60](https://tex.z-dn.net/?f=x%3Dx%20%5C%5C%0A%5Cfrac%7B21%7D%7B20%7Dy%3D123-y%20%5C%20%5C%20%5C%20%7C%2By%20%5C%5C%0A%5Cfrac%7B21%7D%7B20%7Dy%2By%3D123%20%5C%20%5C%20%5C%20%7C%5Ctimes%2020%20%5C%5C%0A21y%2B20y%3D2460%20%5C%5C%0A41y%3D2460%20%5C%20%5C%20%5C%20%7C%5Cdiv%2041%20%5C%5C%0Ay%3D60)
There are
60 female lions.