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Answer:
50 soldiers must be transferred elsewhere.
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
As the number of soldiers decrease, the provisions last for more time. This means that the measures are inversely proportional, and we have an inverse rule of three, using line multiplication, instead of cross.
30 days of provisions - 200 soldiers
40 days of provisions - x soldiers
Simplifying by 40
The provisions will last for 40 days with 150 soldiers, which means that 200 - 150 = 50 soldiers must be transferred elsewhere.
Answer:
Step-by-step explanation:
The area of the circumference of a circle is:
We know that r is 8, so we can plug that into the formula.
However, there's a problem. We only want 3pi/4 of the circumference, not the entire circle's circumference. Therefore, we have to divide by part/whole. In this case, the part is 3pi/4, and the whole is 2pi (the entire circle is 2pi radians).
The value of x is 44°.
Step-by-step explanation:
Step 1:
The sum of the angles in a triangle is equal to 180°.
The sum of the angles along a straight line is 180°.
The two given angles of the triangle are 14° and 30°.
Assume the third angle is a.
The sum of 14°, 30° and a is 180°.
So the third angle of the triangle is 136°.
Step 2:
The sum of the angles along a straight line is 180°.
The sum of the angle of the triangle, 136° and x is 180°.
So x measures 44°.