See attached picture for better understanding of the problem. In the problem, the given values are the following:
hypotenuse = length of the ladder
adjacent = base of the ladder to base of the wall
Solving the angle x, we have the solution as below:
cos x = adjacent / hypotenuse
cos x = 91 / 350
x = 74.93°
The answer is 74.93°.
Answer:
2/9
Step-by-step explanation:
lets create a sample space
so
the pirates can be sold for $7 $6 or $9
p
6 7 9
under the sea can be sold for $6 $7 or $9
S
6, 7, 9
driving test can be sold for $6 $7 or $9
D
6, 7, 9
here are all the combinations:
p,6
p,7
p,9
s,6
s,7
s,9
d,6
d,7
d,9
since out of 9 combinations driving test is the only one that is not water related lets look at that. There are only 2 combinations of driving test which are less than or equal to $7, (d,7 and d,6) hence the probability of selling no water games for less than $7 is 2/9
Tom started with total 72 chocolate wafers.
<u><em>Explanation</em></u>
The number of chocolate wafers taken by 8 members of the baseball team are in the sequence : 
The above sequence is <u>arithmetic sequence</u> with first term(a₁)= 1 and common difference (d) = 2
<u>Formula for Sum</u> of first 
terms in arithmetic sequence is....
![S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a_%7B1%7D%2B%28n-1%29d%5D)
So, the Sum of 8 terms in that sequence....
![S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64](https://tex.z-dn.net/?f=S_%7B8%7D%3D%20%5Cfrac%7B8%7D%7B2%7D%5B2%281%29%2B%288-1%29%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D%204%5B2%2B7%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%282%2B14%29%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%2816%29%3D64)
That means, the total number of chocolate wafers taken by the baseball team members is 64. Tom ate 5 and then gave his brother 3 chocolate wafers at first.
So, the total number of chocolate wafers at starting 
Answer:
2.5 hours
Step-by-step explanation:
<em>Let t = time in hours for reach friend's house
</em>
<em>(t-1.5) = time for friend to drive her home
</em>
:
Both trips are the same distance, Write a distance equation from this fact:
<em>Distance = speed * time
</em>
<em>Drive distance = Bike distance
</em>
<u>Equation-</u>
<u>step1)</u> 25 (t-1.5) = 10t (here u multiply 25 by t and 25 by 1.5)
<u>step2</u>) 25t - 37.5 = 10t (move 37.5)
<u>step3)</u> 25t - 10t = +37.5 (subtract 25t from 10t)
<u>step4</u>) 15t = 37.5 (divide 37.5 by 15)
<u>step5</u>) t = 2.5 (time it took Luke to reach his aunt's house)
Answer:
Find the perimeter. 4 14 NH ساره 8 NE NIL 12 10 10 Perimeter = 61/? Simplify your answer
