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
AlexFokin [52]
3 years ago
14

Find the value of c, rounded to the nearest tenth A. 11 B. 14.3 C. 37.6 D. 7.4

Mathematics
2 answers:
Helga [31]3 years ago
8 0

Answer:

D. The correct value of  c  = 7.4

Step-by-step explanation:

According to Tangent-Secant theorem:

"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."

Here, the external length of tangent segment = 10

Also, the length of internal segment  is 14 and c.

So, by the SECANT THEOREM:

(10)^2  = 14 \times c\\\implies c = \frac{100}{14} = 7.14

or, c  = 7. 1428

Now, rounding off the value of c = 7. 14 to the nearest tenth, we get

c = 7. 4

Hence the correct value of  c  = 7.4

guapka [62]3 years ago
6 0

Answer:

The value of c for he given figure is 7.4  

Step-by-step explanation:

Given figure of circle with two chords meeting outside the circle

Let The points A, D , E , C are on the circle

And The chords AB and CD meets at points B

The measure of AD = 20

The measure of BD = 10

So. The measure of AB = 20 + 10 = 30

The measure of CE = c

The measure of EB = 14

So, The measure of CB = c + 14

Now, <u>From the property of circle </u>

AB × BD = CB × EB

Or, ( AD +BD ) × BD = ( CE + EB )  × EB

Or, ( 20 + 10 ) × 10 = ( c + 14 ) × 14

or, 30  × 10 = c × 14 + 196

Or, 300 - 196 =  c × 14

Or  c × 14 = 104

∴ c = \frac{104}{14}

I.e c = 7.4

Hence The value of c for he given figure is 7.4  Answer

You might be interested in
Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
NikAS [45]

Answer:

y=\frac{1}{3} x+6

Step-by-step explanation:

(3,7)(-6,4)

Step 1. Find the slope (by using the slope-formula)

m = slope

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{4-7}{-6-3}

m=\frac{-3}{-9}

m=\frac{3}{9}

m=\frac{1}{3}

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula y=mx+b whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

y=\frac{1}{3} x+b

Find the y-intercept (b) by using a point and substituting their x and y values

y=\frac{1}{3} x+b

Point: (3, 7)

7=\frac{1}{3} (3)+b

7=1+b

b=7-1

b=6

Step 3. Write the equation in Slope-intercept form

y=mx+b

y=\frac{1}{3} x+6

3 0
2 years ago
What is the length of PQ , rounded to the nearest tenth.
Assoli18 [71]

Answer:

10.8 units

Step-by-step explanation:

7 0
2 years ago
What is the answer for 35 3/4 - 1/8
BabaBlast [244]

Steps:

1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.

2. 2 times 4 equals 8, 2 times 3 equals 6

3. 35 3/4 now becomes 35 6/8

4. your new problem is 35 6/8 - 1/8

5. 6 -1= 5

6. your answer is 35 5/8

4 0
3 years ago
Pls pls plz plz pls help
Citrus2011 [14]

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

5 0
2 years ago
What is the meaning of IQR
vfiekz [6]
It’s the parts on the graph so it would be Q1 Q2 Q3
6 0
3 years ago
Read 2 more answers
Other questions:
  • Martha bought 20 5⁄6 yards of fabric to make curtains. She only used 16 7⁄9 yards of the fabric. How much fabric remained?
    5·2 answers
  • (0,1) scale factor of 2
    13·1 answer
  • A set of numbers is shown:
    14·1 answer
  • Four more than the quotient of a number and 3 is 9
    13·1 answer
  • A square and a rectangle have the same perimeters. The length of a side of the square is 4x-1. The length of the rectangle is 2x
    15·1 answer
  • Match the correct translation with the given transformation.
    15·1 answer
  • In angle PQR, angleQ=70 angle R=45 then angleP=.....<br>​
    8·1 answer
  • Divide 81 ft in the ratio 5 :4
    12·2 answers
  • Which graph represents the function f(x) = 4/x
    12·1 answer
  • Parallelogram PQRS with PS = -1 + 4x and QR = 3x + 3. What is the length of QR?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!