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morpeh [17]
3 years ago
13

Rusty is 5.75 feet tall and casts a 7 foot shadow find the angle of elevation from the tip of the shadow to the top of Rusty’s h

ead round to the nearest tenth
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0

Answer:

Ф = 39.4 degrees

Step-by-step explanation:

The ratio 5.75 / 7 is the tangent of the angle of elevation.  Using the inverse tangent function on a calculator returns Ф = 39.4 degrees.

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What is the sum of a common geometric series if the first term is 8 and the common ratio is 1/2?
stealth61 [152]

Answer:  A

Step-by-step explanation:

The sum to infinity of a geometric series is

S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )

where a is the first term 8 and r is the common ratio, hence

S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16

6 0
3 years ago
Please, Help with this MATH question.
hammer [34]
Y in the second equation
6 0
3 years ago
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Five added to 6 times a number is equal to 2 less than 8 times the number. What is the number?
Morgarella [4.7K]
30N=2-8N

Subtract 8N from 30N and you get 22N.

22N=2

Divide by 22 on both sides. You get N=2/22

So your answer is N=1/11
8 0
3 years ago
Find the intervals on which f(x)=2xx2+64 increases.
Shtirlitz [24]

f(0)=64, f(1)=66, f(2)=72, f(3)=82, f(4)=96,...=2,6,10,14,...=2{1,3,5,7,...}
This can be written 2{2x+1}, so the intervals on which f(x) increases are 4x+2.
4 0
3 years ago
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A quadrilateral ABCD is shown with the
algol [13]

A Quadrilateral A B C D in which Sides AB and DC are congruent and parallel.

The student has written the following explanation

Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SAS.

The student has also written

angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.

Postulate SAS completely describes the student's proof.

Because if in a quadrilateral one pair of opposite sides are equal and parallel then it is a parallelogram.

 

6 0
3 years ago
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