Answer:
Step-by-step explanation:
The given trigonometric equation is 
.
We can either use the Pythagorean identity or the right angle triangle to solve for 
.
According to the Pythagorean identity,
Recall that, the cosine function is an even function, therefore
.
We substitute this value in to the above Pythagorean identity to get;
But we were given that,
, so we choose the negative value.
The correct answer is B
Answer:
<h2>x=29</h2>
Step-by-step explanation:
<h3>to understand the solving steps</h3><h3>you need to know about:</h3>
- right angle
- equation
- PEMDAS
<h3>to solve:</h3><h3>x</h3><h3>let's solve:</h3>
<u>a </u><u>right</u><u> angle</u><u> </u><u>contains </u><u>9</u><u>0</u><u>°</u> (always)
according to the question
x+3+x-1+x+1=90
3x3=90
x=87
x=29
<h2>solved</h2>
Answer:
56
Step-by-step explanation:
probabilty of both being red= 0.5*0.6
total no of times spinners were spun = 84/(0.5*0.6) = 280
probabilty of both being blue= 0.5*0.4
Estimate = 0.5*0.4*280= 56
Answer:
9 quarters
Step-by-step explanation:
From the question
Jesse has $3.40 in quarters and nickels
Quarters = q = number of quarters
1 quarter = $0.25
nickels = n = number of nickels
1 nickel = $0.05
Hence,
0.25q + 0.05n = $3.40 .......Equation 1
The number of nickels is 5 more than 2 times the number of quarters.
n = 2q + 5
0.25q + 0.05n = $3.40 .......Equation 1
0.25q + 0.05(2q + 5) = 3.40
0.25q + 0.10q + 0.25= 3.40
0.35q = 3.40 - 0.25
0.35q = 3.15
q = 3.15/0.35
q = 9
Therefore, Jessie has 9 quarters.
Answer:
4 then 6 then 8
Step-by-step explanation:
2×2=4
2×3=6
2×4=8
