The average weight per box is the total weight divided by the number of boxes.
... (486 pounds)/(27 boxes) = 18 pounds/box
The average weight of each box is 18 pounds,
I think the answer is 1,161 feet
Sorry if that’s incorrect, but here’s the explanation in case you need it:
The tangent of a triangle is the opposite leg over the adjacent leg. 311 is the opposite leg, and X would be the adjacent leg. So 311 divided by x is equal to tan 15. If we rearrange this to be equal to X, X equals 311 divided by tan 15. Tan 15 is equal to 0.2679, so 311/0.2679 = 1,160.6. That amount rounds up to 1,161, giving you the answer of 1,161 feet.
1. Quadrilateral ABCD is inscribed in circle O
A quadrilateral is a four sided figure, in this case ABCD is a cyclic quadrilateral such that all its vertices touches the circumference of the circle.
A cyclic quadrilateral is a four sided figure with all its vertices touching the circumference of a circle.
2. mBCD = 2 (m∠A) = Inscribed Angle Theorem
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords.
Such that Inscribed angle = 1/2 Intercepted Arc
In this case the inscribed angle is m∠A and the intercepted arc is MBCD
Therefore; m∠A = 1/2 mBCD
4. The sum of arcs that make up a circle is 360
Therefore; mBCD + mDAB = 360°
The circles is made up of arc BCD and arc DAB, therefore the sum angle of the arcs is equivalent to 360°
5. 2(m∠A + 2(m∠C) = 360; this is substitution property
From step 4 we stated that mBCD +mDAB = 360
but from the inscribed angle theorem;
mBCD= 2 (m∠A) and mDAB = 2(m∠C)
Therefore; substituting in the equation in step 4 we get;
2(m∠A) + 2(m∠C) = 360
Assuming the house is parallel to the ground, your triangle is made up by the house, the ground, and the ladder. Using sin(x) = opposite/hypotenuse on the angle 70 degrees, you would have sin(70) = 20/x (because 20 is the side opposite of the angle connecting the ladder and the ground)
--> simplify sin(70) * x = 20 --> x = 20 / sin(70
--> substitute (and make sure your calculator in in degrees) x= 21. 284
Answer:
f(1) = 9
Step-by-step explanation:
Evaluate f(x) = 4x+5 by replacing both instances of x with '1' as follows:
f(1) = 4(1) + 5 = 9
Thus, f(1) = 9