Answer:
![r = - \frac{5}{3} = 1 \frac{2}{3} = - 1.6](https://tex.z-dn.net/?f=r%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20%20%3D%201%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%20%20-%201.6)
Step-by-step explanation:
![- 8r - ( - 2r - 3) = 13](https://tex.z-dn.net/?f=%20-%208r%20-%20%20%28%20-%202r%20-%203%29%20%3D%2013)
![- 8r + 2r + 3 = 13](https://tex.z-dn.net/?f=%20-%208r%20%2B%202r%20%2B%203%20%3D%2013)
![- 6r + 3 = 13](https://tex.z-dn.net/?f=%20-%206r%20%2B%203%20%3D%2013)
![- 6r = 13 - 3](https://tex.z-dn.net/?f=%20-%206r%20%3D%2013%20-%203)
![- 6r = 10](https://tex.z-dn.net/?f=%20-%206r%20%3D%2010)
![\boxed{\green{r = - \frac{5}{3} = 1 \frac{2}{3} = - 1.6}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cgreen%7Br%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B3%7D%20%20%3D%201%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%20%20-%201.6%7D%7D)
Answer:
13/12
Step-by-step explanation:
1-2/3+9/12
least common denominator is 12
12/12 - 8/12+9/12
13/12
Answer:
angle RUS = 65 degrees
angle STU = 90 degrees
Step-by-step explanation:
(a) find angle RUS
Given arc RU = 50 degrees, so angle RSU = 50/2 = 25 degrees
Since US is the diameter,
angle URS is a right-angle.
Consider triangle RUS,
sum of angles of a triangle = 25+90+RUS = 180
solve for
RUS = 180 - 25 - 90 = 65 degrees.
(b) Find STU
All diameters span a right angle at the circumference,
since we're given US is a diameter, this means that
angle STU is a right angle.
Answer:
15$
Step-by-step explanation:
<span>h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes
means that at time t min, the height h of the balloon is 210-15t (units)
for example,
at time t=1 min, the height of the balloon is 210-15*1=195 (units)
at time t=2 min, the height of the balloon is 210-15*2=210-30=180 (units)
Thus, h(10) is the height of the balloon at time t=10 min,
h(10)=210-15*10=210-150=60</span>