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shepuryov [24]
3 years ago
13

A 30-foot-long support wire for a 16-foot high streetlight runs from the top corner of a building to a point on the ground, form

ing a straight line. The length of the wire from the top of the building to the top of the street light is 6 feet. How tall is the building? ​
Mathematics
1 answer:
Elza [17]3 years ago
6 0
A 30-foot-long support wire for a 16-foot high streetlight runs from the top corner of a building to a point on the ground, forming a straight line. The length of the wire from the top of the building to the top of the street light is 6 feet. How tall is the building?


I think the answer is 20 ft
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Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?
Aleonysh [2.5K]
I think the answer is 8
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3 years ago
Given that curl F = 2yi – 2zj + 3k, find the surface integral of the normal component of curl F (not F) over (a) the open hemisp
Dimas [21]

Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.

a. The boundary of the hemisphere is the circle x^2+y^2=9 in the plane z=0, where the curl is \mathrm{curl}\vec F=2y\,\vec\imath+3\,\vec k. Green's theorem applies here, so that

\displaystyle\iint_S\mathrm{curl}\vec F\cdot\mathrm d\vec S=\int_{\partial S}\vec F\cdot\mathrm d\vec r=3\int_{x^2+y^2=9}\mathrm d\vec r

which means the value of the line integral is 3 times the area of the circle, or 27\pi.

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7 0
3 years ago
Find n(A) for A={0,1,2,3,...,2000}
miskamm [114]
There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
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So,
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This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)
7 0
3 years ago
Consider a cylinder with a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cy
Arlecino [84]

Answer:

The correct answer is option A

Step-by-step explanation:

The volume of a cylinder is given by

V = \pi r^{2} h\\

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5 0
3 years ago
Read 2 more answers
The officer stepped off 20 paces from E to G. If his pace is 2 1/2 feet long. How wide was the river?
Sergeeva-Olga [200]

Answer:

The wide of river is 50\ ft

Step-by-step explanation:

In this problem we know that

Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence

therefore

EG=EF

EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft

8 0
3 years ago
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