Answer:
The length of the wire is 15 ft.
Step-by-step explanation:
The solution of this exercise comes from an application of the Pythagorean theorem. The explanation here is complemented with the figure attached.
In the figure the segments AB and CD represents the vertical poles, where the length of AB is 6 ft and the length of CD is 15 ft. We want to find the length of the segment BD, that represents the stretched wire. The length of the segment AC is 12 ft, which is the distance between the poles.
If we draw an imaginary line from A perpendicular to DC, we obtain a rectangle ABEC, and a right triangle BED. Then, the length of BE is 12 ft. Moreover, the length of CE is 6 ft, because is equal to the length of AB. Hence, the length of DE is 9 ft, because DE = DC-EC.
As we want to find the length of the hypotenuse BD of the right triangle BED, and we already have the lengths of the other two sides, we only need to apply the Pythagorean theorem. This is
Then, taking square roots in both sides: BD=15 ft.
Answer:
275 m^3
Step-by-step explanation:
The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.
First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.
In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.
Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so
V=(1/3)(75/2)*22=275
<span>ed donations of $500.00, $55.00 and $25.00. You have an electric bill of $40.64, bill for postage of $12.75, and rent for $445.00</span>
The complete question in the attached figure
calculate the surface area----------- > S
S=2*[6*2/2]+[3.5*2]+[3.5*6]+[6.3*3.5]= 62.05 in²
the answer is 62.05 in²
Answer:
Step-by-step explanation:
We're going to try two things here.
First an example
x^2 + 10x + 25
If you divide the linear factor by 2 and square the result, you get the last number (25)
The pattern of a trinomial is
x^2 + 2b x + b^2
The factors are
(x + b)(x+ b)
Just divide the linear term by 2
