Answer:
1 hour and 7.5 minutes
Step-by-step explanation:
We have the following information:
Jose makes 1 / 1.5 of the job per hour. It is his rate of work in addition to that the partner makes 1 / 4.5 of the job per hour. It is his rate of work.
Thus:
1 / 1.5 + 1 / 4.5 = 1 / x
0.8898 = 1 / x
x = 1 / 0.8888
x = 1.125
Hence, it will take 1 hour and 7.5 minutes for them to complete the job working together.
We have that
<span>2cscx-3=-5---------> 2cscx=-5+3---------> cscx=-2/2---------> cscx=-1
we know that
csc x=1/sin x
then
1/sin x=-1--------------> sin x=-1
x=arcsin (-1)---------> x=-90</span>°
x=-90°---------------> 360°-90°-----------> x=270°------------> 3pi/2<span>
the answer is
x=3pi/2 radians
</span>
The product (multiply) of a number (x) and four (4) is at most (≤) -10.
4x ≤ -10
To solve this, divide both sides by 4
x ≤ -2
N; n + 2 - the two consecutive even integers
n + 3(n + 2) = 46
n + 3n + 6 = 46 <em> |subtract 6 from both sides</em>
4n = 40 <em> |divide both sides by 4</em>
n = 10
n + 2 = 10 + 2 = 12
<u>Answer: 10 and 12.</u>
The value of a and b from the coordinates are 3 and 5 respectively
<h3>Midpoint of coordinates</h3>
The formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
Learn more on midpoint here: brainly.com/question/18315903
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