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WINSTONCH [101]
3 years ago
6

Let O and H be the circumcenter and orthocenter of triangle ABC, respectively. Let a, b, and c denote the side lengths, and let

R denote the circumradius. Find OH^2 if R = 7 and a^2 + b^2 + c^2 = 29.
Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Answer:

OH²=412

Step-by-step explanation:

A Circumcenter of a triangle is the point where the three perpendicular bisectors of a triangle meet.

The Orthocenter is the point where all three altitudes of the triangle intersect.

Given any triangle, the orthocenter, circumcenter and centroid are collinear on the Euler line. By Euler's Identity, the distance between the circumcenter and the orthocenter of a triangle is related to the circumradius(R) and the sides(a,b,c) of the triangle by the relation

OH²=9R²-(a²+b²+c²)

R=7, a²+b²+c²=29

OH²=9(7)²-29

OH²=412

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Answer:

The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis.

A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0,3).  

A  y-intercept of  -4 means that the graph of a line crosses the Y-axis at the point (0,-4).    

Step-by-step explanation:

7 0
4 years ago
Delia worked for 45 minutes on her oil painting. She took a break at 10:35 A.M. At what time did Delia start working on the pain
In-s [12.5K]

Answer:

Delia started working at 9:50 A.M.

Step-by-step explanation:

We are given that:

Delia worked for 45 minutes on her oil painting.

She took a break at 10:35 A.M.

We have to determine at what time Delia start working on the painting.

35 minutes before 10:35 A.M. is 10 A.M.

Now, 45-35=10 minutes are left

now 10 minutes before 10 A.M. is 9:50 A.M.

Hence, Delia started working at 9:50 A.M.

7 0
4 years ago
Aaron has two apple's. He adds two more apples. How much apple's does Aaron has now
lorasvet [3.4K]
Aaron has 4 apples. 2+2=4
4 0
3 years ago
Read 2 more answers
Need help now please help
siniylev [52]
I give numbers to the box, box 1 to 9 so you can understand my explanation well. See image attached.

Fill in Box 4
box 4 multiplied by box 2 is equal to box 5
box 4 × 0.3 = 1.5
box 4 = \dfrac{1.5}{0.3}
box 4 = 5
The number on the box 4 is 5

Fill in Box 8
box 2 multiplied by box 7 is equal to box 8
0.3 × 15 = box 8
box 8 = 0.3 × 15
box 8 = 4.5
The numbers on the box 8 is 4.5

Fill in Box 3
box 3 multiplied by box 7 is equal to box 9
box 3 × 15 = 6
box 3 = \dfrac{6}{15}
box 3 = 0.4
The numbers on the box 3 is 0.4

Fill in Box 6
box 3 multiplied by box 4 is equal to box 6
0.4 × 5 = box 6
box 6 = 0.4 × 5
box 6 = 2
The number on the box 6 is 2

5 0
4 years ago
Echo is creating a garden that is 36 feet wide and can fit one row of shrubs. Each shrub is 4.5 feet wide. Each shrub costs $15.
sashaice [31]

Answer:

Echo can plant a maximum of 8 shrubs.

The total cost for Echo's shrubs is  = 8 \times $15.32 = $122.56

Step-by-step explanation:

i) Garden is 36 feet wide

ii) Each shrub is 4.5 feet wide.

iii) therefore the maximum number of shrubs that can be planted are

= \frac{36}{4.5}  = 8

 Therefore Echo can plant a maximum of 8 shrubs.

Therefore the total cost for Echo's shrubs is  = 8 \times $15.32 = $122.56

7 0
3 years ago
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