Answer:
25°
Step-by-step explanation:
The angle of a right triangle is always 90°. 90-35=51. 25 times 2 is 50 plus 1 is 51, so x is 25°.
Answer:
a
The percentage is

b
The probability is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The variance is 
The range consider is 
The value consider in second question is 
Generally the standard deviation is mathematically represented as

substituting value

The percentage of a cucumber give the crop amount between 778 and 834 kg is mathematically represented as

Generally 
So


From the z-table the value for 
and
So


The percentage is

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

substituting values


From the z-table the value for 
What we need to know is how much is 1/3 of 25 2/5.
We will be multiplying fraction by a fraction and for this, it's good to change mixed numbers into improper fractions:
25 2/5=

and now we multiply it by 1/3:

and that's the answer: the basketball equipment weights 7 4/5 pounds.
Answer:
21
Step-by-step explanation:
put 21 were x is and then divide 21÷7=3
The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.
sec(<em>x</em>) = csc(<em>x</em>)
By definition of secant and cosecant,
1/cos(<em>x</em>) = 1/sin(<em>x</em>)
Multiply both sides by sin(<em>x</em>) :
sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)
As long as sin(<em>x</em>) ≠ 0, this reduces to
sin(<em>x</em>)/cos(<em>x</em>) = 1
By definition of tangent,
tan(<em>x</em>) = 1
Solve for <em>x</em> :
<em>x</em> = arctan(1) + <em>nπ</em>
<em>x</em> = <em>π</em>/4 + <em>nπ</em>
(where <em>n</em> is any integer)
In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of
<em>x</em> = <em>π</em>/4 <u>or</u> <em>x</em> = 5<em>π</em>/4