Answer:
There are 22 pounds of pecans in the mixture
Step-by-step explanation:
Let the number of pounds of pecans be p and the number of cashews be c
We have 88 pounds in total, mathematically, this means;
c + p = 88
Now, the 88 mixtures cost $1.4 per pounds. This means the total amount of the 88 would be 88 * 1.26= $110.88
The pecans are worth 0.84 per pound while the cashews are worth 1.4 per pound. If the total is at a cost of 110.88, this can be translated mathematically as:
0.84p + 1.4c = 110.88
We now have two different equations that we can solve simultaneously.
c + p = 88
0.84p + 1.4c = 110.88
From the first equation, we can say c = 88 - p
We can then substitute the into the second equation:
0.84p + 1.4(88 - p) = 110.88
0.84p + 123.2 - 1.4p = 110.88
-0.56p = 110.88 - 123.2
0.56p = 12.32
p = 12.32/0.56 = 22
Now, we know c = 88 - p = 88 - 22 = 66
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Answer:
True?
Step-by-step explanation:
I think its true but I'm not 100% sure so I would go with true. Try thinking of your past problems that you used and think about that maybe? But in then mean time, I would go with True
I don’t think this is algebra 2 but ok
37
I used the formula (32°F − 32) × 5/9 = 0°C (but ofc replaced the numbers with 99)
Yeah and i rounded 98.6 to 99. 99 Fahrenheit is 37.2222... so i rounded it down to 37. So i think the answer is 37.
The first option,
both have to be negative, because they were originally both part of the one fraction, which was all negative.
