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konstantin123 [22]
3 years ago
6

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

Given:

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree.

To find:

The length of the tree.

Solution:

A bird was sitting 16 feet from the base of an oak tree.

Vertical distance between bird and base = 16 feet

Then the bird flew 20 feet to reach the top of the tree.

Now, the vertical distance between bird and base = (16+20) feet

So, length of the oak tree is it the sum of 16 feet and 20 feet.

\text{Length of the oak tree}=16+20 feet

\text{Length of the oak tree}=36 feet

Therefore, the length of the oak tree is 36 feet.

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Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel
kondaur [170]

Answer:

The correct option is;

Corresponding angles theorem

Step-by-step explanation:

Type of lines of lines a and b = Horizontal and parallel lines

The transversal to a and b = Line c

The angles between a and c labelled clockwise from the upper left quarter segment =  1, 2, 4 and 3

The angles between b and c labelled clockwise from the upper left segment =  5, 6, 8 and 7

Therefore, we have;

Statement   {}                                                   Reason

1. a║b, c is a transversal   {}                             Given

2. ∠6 ≅ ∠2       {}                                              Corresponding angles theorem

3. m∠6 = m∠2       {}                                         Definition of congruent

4. ∠6 is supp. to ∠8        {}                               Definition of linear pair

5. ∠2 is supp. to ∠8        {}                               Congruent supplement theorem

Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.                        

4 0
4 years ago
The length of a 3D rectangle is 8cm greater than the width and the height is half the length. A total of 108 cm of wire has been
myrzilka [38]

Answer:

L=W+8

(W+8)W=105

W^2+8W=105

W^2+8W-105=0

(W+15)(W-7)=0

W-7=0



3 0
3 years ago
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Exams help a girl out lol
Anna71 [15]

Answer:

Slope is 3/2

Step-by-step explanation:

If you're going from point (1,4) to point (-3,-2), then your answer slope = -3/2.

If you're going from -3, -2 to 1,4 then it's 3/2 because you are going up 3, over 2 each time.

\frac{rise}{run} = \frac{3}{2}

8 0
3 years ago
A 30-year, $1,000 strip bond was traded for $167, four years after it was issued. What was the semi-annually compounded nominal
Anna007 [38]

Answer:

The semi-annually compounded nominal rate at that time is 7%

Step-by-step explanation:

In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:

PV= FV/(1+r)^n

According to the given data we have the following:

PV=$167

FV=$1,000

n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52

Therefore, 167= $1,000/( 1+r)^52

167/$1,000 =1/(1+r)^52

0.167 =1/(1+r)^52

r =3.50%

Therefore, The semi-annually compounded nominal rate at that time=3.50%*2

The semi-annually compounded nominal rate at that time=7%

The semi-annually compounded nominal rate at that time is 7%

4 0
3 years ago
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