Answer:
15km
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c²
9²+12²=c²
81+144=c²
225=c²
Square root both sides
c= 15km
Answer:
![\sf \: 245 km](https://tex.z-dn.net/?f=%5Csf%20%5C%3A%20245%20km)
Step-by-step explanation:
![\sf Speed \: of \: the \: car = 70 km/h](https://tex.z-dn.net/?f=%5Csf%20Speed%20%5C%3A%20%20of%20%5C%3A%20%20the%20%20%5C%3A%20car%20%3D%2070%20km%2Fh)
![\sf Time \: taken = 3 \: hours \: 30 \: minutes](https://tex.z-dn.net/?f=%5Csf%20Time%20%5C%3A%20%20taken%20%3D%203%20%5C%3A%20%20hours%20%5C%3A%20%2030%20%20%5C%3A%20minutes%20)
![= \sf 3 \frac{1}{2} \: hours](https://tex.z-dn.net/?f=%20%3D%20%5Csf%203%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%5C%3A%20hours)
![\sf = \frac{7}{2} \: hours](https://tex.z-dn.net/?f=%5Csf%20%20%20%3D%20%5Cfrac%7B7%7D%7B2%7D%20%20%5C%3A%20hours)
![\sf Distance = Speed \times Time](https://tex.z-dn.net/?f=%5Csf%20Distance%20%3D%20Speed%20%5Ctimes%20Time)
![\sf Distance = 70 \times \frac{7}{2} \: km](https://tex.z-dn.net/?f=%5Csf%20Distance%20%3D%2070%20%5Ctimes%20%5Cfrac%7B7%7D%7B2%7D%20%5C%3A%20%20km)
![\sf Distance = 245 \: km](https://tex.z-dn.net/?f=%5Csf%20Distance%20%3D%20245%20%5C%3A%20km)
- Hence, Anna will cover 245 km in 3 hours 30 mins.
If the 35 teaspoons of blue paint are there. Then for the purple paint, we need to add 42 teaspoons of red paint.
<h3>What are ratio and proportion?</h3>
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A mixture of purple paint contains 6 teaspoons of red paint and 5 teaspoons of blue paint.
To make the same shade of purple paint using 35 teaspoons of blue paint, then the amount of the red paint that you need will be
Let x be the amount of the red color needed.
Then we have
![\rm \dfrac{x}{35} = \dfrac{6}{5}\\\\\\x \ \ = \dfrac{6 \times 35}{5}\\\\\\x \ \ = 6 \times 7\\\\\\x \ \ = 42 \ spoons](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7Bx%7D%7B35%7D%20%3D%20%5Cdfrac%7B6%7D%7B5%7D%5C%5C%5C%5C%5C%5Cx%20%5C%20%5C%20%3D%20%5Cdfrac%7B6%20%5Ctimes%2035%7D%7B5%7D%5C%5C%5C%5C%5C%5Cx%20%5C%20%20%5C%20%20%3D%206%20%5Ctimes%207%5C%5C%5C%5C%5C%5Cx%20%5C%20%20%5C%20%3D%2042%20%5C%20spoons)
More about the ratio and the proportion link is given below.
brainly.com/question/14335762
#SPJ1
Answer:
362,880 different
Step-by-step explanation:
Use the permutation 9*8*7*6*5*4*3*2*1. Since there are 9 possible players for the first position, 8 for the 2nd (1 is taken off), 7 for the 3rd, etc. So you would multiply these numbers together. So there are 362,880 different possible batting orders.