1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mars1129 [50]
3 years ago
7

An archeologist discovered a broken piece of what appeared to be a plate. She measured chord AC from the edge of the break to be

8 inches. She also measured the perpendicular distance from the edge of the plate to the chord, BE to be 2.5 inches. What is the diameter of the plate?

Mathematics
1 answer:
professor190 [17]3 years ago
8 0
We know that

AE*EC=DE*EB-----------> <span>String theorem

AC=8 in----------> AE=AC/2----------> AE=4 in
EC=AE-----------> EC=4 in
BE=2.5 in
DE=?
DE=(AE*EC)/EB----------> DE=</span>(4*4)/2.5---------> DE=6.4 in
<span>
then 

diameter=DE+EB--------> 6.4+2.5=8.9 in

the answer is
the diameter is 8.9 in

</span>
You might be interested in
Determine the midpoint given 2<br> points.<br> (6,-10), (10,7)?
NISA [10]

Hey there! I'm happy to help!

To find the x-value of the midpoint, you add the x values and divide by 2.

6+10=16

16/2=8

And for the y value, you do the same thing but with the y values.

-10+7=-3

-3/2=-3/2

Therefore, our midpoint is (8,-3/2).

Have a wonderful day! :D

8 0
3 years ago
Read 2 more answers
I need help solving this problem |5x - 1| &lt; 1
VashaNatasha [74]

Imagine what the graph would look like. Does it open upwards or downwards?

5x - 1 has a positive slope of 5 and it is reflected horizontally. The graph would be shaped like a V. A limited segment, or none, of the graph is below a certain value of y, and the rest outside it is above.

Hence, the solution must be a < x < b.

|5x - 1| < 1

5x - 1 < 1

x < 2/5

|5x - 1| < 1

5x - 1 > -1

x > 0

0 < x < 2/5

4 0
3 years ago
Find the error and correct it
jek_recluse [69]
4=-2(x-3)

divide both sides by 2

2=-(x-3)

remove parentheses

2=-x+3

move terms

2+x=3

subtract numbers

x=3-2

x=1
6 0
3 years ago
List 12 spherical objects that would be around the home. Please do not list all balls, soccer ball, basket ball, etc.
Nesterboy [21]
Ball, marble, orange, onion, apple, melon, globe, tea-strainer, fish bowl, beads, grapes, lamp shade.
8 0
3 years ago
a) Use the triangle below to work out the exact value of sin 45°. 12 1 1 b) Hence, or otherwise, give the exact value of sin 135
MariettaO [177]

Answer:

258

Step-by-step explanation:

cause 1and 1 are the same size

3 0
2 years ago
Other questions:
  • Examine the right triangle.
    9·2 answers
  • There are s students in the art club each member painted 13 pictures for the art show
    10·1 answer
  • Plz help me I need the answer ASAP
    14·2 answers
  • The function y= -0.2 + 0.5 represents the percent y (in decimal form) of battery power remaining x hours after you turn on a lap
    11·2 answers
  • Pease help me i really need this
    7·2 answers
  • The graph shows the distance Liam traveled from school in miles (y) as a function of time in seconds (x). The graph is divided i
    10·2 answers
  • The price of an item has been reduced by 35%. The original price was $75 . Wats the price now
    11·2 answers
  • 8/12- 3/8 show your work with a quation
    15·1 answer
  • Write the first four terms of the sequence whose nth term is given by the formula.
    10·2 answers
  • Ebony but a four year treasury note that pay the equivalent of 3.8% simple interest. She invested $3000 more in a 9 year bond e
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!