In the figure CE=34 cm and DE=30 cm. What is the radius of the circle?

Answers

Answer 1

The radius divides the diameter into 2, and the radius of the circle is 16 units

How to determine the radius?

The radius of the circle and the tangent line meet at a right angle.

This means that:

CE² = r² + DE² ------ Pythagoras theorem

So, we have:

34² = r² + 30²

Evaluate the squares

1156 = r² + 900

Rewrite as:

r² = 1156 - 900

Evaluate

r² = 256

Take the square root of both sides

r = 16

Hence, the radius of the circle is 16 units

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Related Questions

Which is the m WZY? Need quick answers!!

Answers

Answer:

B. 55°

Step-by-step explanation:

Recall: relationship between inscribed angle and the measure of the intercepted arc [(inscribed angle = ½(intercepted arc)]

Inscribed angle = m<WZY

Intercepted arc = arc WY = 110°

Therefore:

m<WZY = ½110°)

m<WZY = 55°

Which does NOT have a value of 4 when
simplified?
1. 5.6x0.15 + (-3.16)
1. (-7x23) + (-43)
III. -5.6+4(3)

Answers

Answer:

3 beause when you dividend it -5.6+4(3) .

A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage?​

Answers

Step-by-step explanation:

C.P of the marker= Rs. 40

S.P of the marker= Rs. 50

Profit= S.P- C.P

= 50- 40

= Rs. 10

Profit%= {[tex]\frac{Profit}{C.P}[/tex]×100}%

= {[tex]\frac{10}{40}[/tex]×100}%

= 25%

Hope it helps♡

TESTS OF
ADULT BASIC
EDUCATION
ABE
LOCATOR TEST

Answers

Answer:

Step-by-step explanation:

Wat lol

PLEASE HELP !! I will give Brainly to whoever answers

Answers

Answer:

A

Step-by-step explanation:

pleace helppp meeeee

In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Answers

Answer:.

Step-by-step explanation:

Answer:

Step-by-step explanation:20/29

If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 10 cm. (Round your answer to three decimal places.)

Answers

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

[tex]S = d^2\pi[/tex]

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Surface area decreases at a rate of 9 cm2/min

This means that [tex]\frac{dS}{dt} = -9[/tex]

At which the diameter decreases when the diameter is 10 cm?

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]

[tex]\frac{dd}{dt} = -0.143[/tex]

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

The living room in a new house has the dimensions shown. What is the volume of the room?

Answers

Add the sides then what ever you got add that up with 9 yd

The route between the park and Josh's house is 81 meters. He walks this route 4 times on Saturday. How far does Josh walk between the park and his house on Saturday? Enter your answer in the box.

Answers

Answer:

648 m.

Step-by-step explanation:

Each walk = 2*81 = 162 m.

So total for 4 walks = 4 * 162

= 648 m.

Answer:

Josh walked 324 meters

Step-by-step explanation:

81×4= 324

When filled to capacity, the water in the aquarium water tank reaches 32 feet. The water is currently reaching 24 feet. What percentage of the tank is full? A 70% C 75% B 25% D 80% 28​

Answers

Answer:

75%

Step-by-step explanation:

24/32 * 100%

75%

Find the volume of the sphere.
r= 6 cm
Formulas for Spheres
S.A. = 4tr?
V = [?] cm3
Round to the nearest tenth.
V = Arr

Answers

Answer:

904.8cm^3

Step-by-step explanation:

[tex] \frac{4}{3} \pi{(6)}^{3} \\ \frac{4}{3} \pi(216) \\ \frac{864}{3} \pi \\ 288\pi \\ 904.8 {cm}^{3} [/tex]

The volume of the sphere will be 904.32 cubic cm.

What is the volume of the sphere?

Let r be the radius of the sphere. Then the volume of the sphere will be given as,

V = 4/3 πr³ cubic units

The radius of the sphere is 6 cm. Then the volume of the sphere is calculated as,

V = 4/3 x 3.14 x 6³

V = 904.32 cubic cm

The volume of the sphere will be 904.32 cubic cm.

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Find the difference when we subtract 38,40,159 from the number formed by reversing its digits.​

Answers

Answer:

5,670,279

Step-by-step explanation:

3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279

My exam, does any one know the answer

Answers

Answer:

D) 7

Step-by-step explanation:

Five times a number=5x

added to 4= 5x+4

[tex]5x+4=39[/tex]

[tex]5x=35[/tex]

[tex]x=7[/tex]

So, the number is 7.

D.) 7 is the answer

Simplify. State any restrictions on the variables.
[tex]\frac{x^2+9x+18}{x+6}[/tex]

Answers

Answer: [tex]x+3, x \neq -6[/tex]

Step-by-step explanation:

The denominator cannot equal 0, so [tex]x \neq -6[/tex].

Simplfying,

[tex]\frac{x^2 +9x+18}{x+6}=\frac{(x+6)(x+3)}{x+6}=x+3[/tex]

Enter the number that belongs in the green box

Answers

Answer:

m<B = 107°

Step-by-step explanation:

∆ADC is congruent to ∆ABC by the SSS Congruence Theorem.

<D corresponds to <B, therefore,

m<D = m<B

m<D = 180° - (41° + 32°)

m<D = 180° - 73°

m<D = 107°

m<D = m<B = 107°

m<B = 107°

PLEASE HELP IM BEING TIMED

Answers

4,-1 and 0,-2 I THINK

composite figure help omg

Answers

Answer:

188 sq m

Step-by-step explanation:

for the top square its just 6 x 6 which is 36

then for the bottom you add 6 + 13 for the width (which is 19) and we've already been given 8 for the height so then you multiply 19 x 8 and get 152

you then add 152 and 36 to get 188 (and the unit is sq m or m^2)

What are the solutions of the equation
x2-1=15?

Answers

Answer:

x=4, -4

Step-by-step explanation:

hope this helps!

i need the measurement of angle a

Answers

Given:-

Angle B = 90°

Angle C = 67°

To find:-

Angle A.

Solution:-

[tex]{\boxed{\mathcal{\red{Angle\: A \:=\: 23° \:}}}}[/tex]✅

Step-by-step explanation:-

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

∠ A + ∠ B + ∠ C = 180°

➪ ∠ A + 90° + 67° = 180°

➪ ∠ A + 157° = 180°

➪ ∠ A = 180° - 157°

➪ ∠ A = 23°

[tex]\sf\red{Therefore, \:the\: value \:of \:∠\: A\: is \:23°.}[/tex]

To verify:-

A + B + C = 180°

23° + 90° + 67° = 180°

180° = 180°

L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

Note:-

Please refer to the attached file.

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

What combination of transformations is shown below?

Answers

Answer:

Correct answer is "reflection, then rotation".

Step-by-step explanation:

The figure shows the following two operations:

1) Reflection through central horizontal line. ([tex]1 \to 2[/tex])

2) Rotation with center at the upper left corner of the reflected figure. ([tex]2 \to 3[/tex])

Therefore, correct answer is "reflection, then rotation".

According to the Centers for Disease control and prevention, 20.8 of high school students currently use electronic cigarettes. A high school counselor is concerned that the use of e-cigs at her school is higher.
(a) Determine the null and alternative hypotheses.
(b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the school counselor.
(c) Suppose, in fact, that the proportion of students at the counselor's high school who use electronic cigarettes is 0.034. Was a Type I or Type II error committed?

Answers

Answer:

H0 : p = 0.028

H1: p > 0.028

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

Type 11 error

Step-by-step explanation:

H0 : p = 0.028

H1: p > 0.028

If null should not be rejected then;

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

3.)

If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed

Which expression is equivalent to (3a)-2​

Answers

Answer:

1/9a2

Step-by-step explanation:

I'm not sure if there's supposed to be a list of answers, but 1/9a2 is one. Hope this helps! Let me know if there was supposed to be a list.

Answer:

removing of bracket

Step-by-step explanation:

(3a)-2

3a×(-2)

-6a

What is 4n + 3 ( n – 5 ) + 2 simplified? I suck At math sry

Answers

Answer:

[tex]7n−13[/tex]

Step-by-step explanation:

[tex]4n+3(n−5)+2[/tex]

[tex]4n+3n+3 \times (−5+2)[/tex]

[tex]4n+3n−15+2[/tex]

[tex]7n−15+27n-15+2[/tex]

[tex]7n−13[/tex]

Hope it is helpful....

y = 1/2x + 1 and 2y - x = 6 How many solutions does this system have?(: -none, one, or ifinite?

Answers

Answer:

none

Step-by-step explanation:

___________________

Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.

Answers

Answer:

3/7

Step-by-step explanation:

430 +200 = 630   (630 people in all)

430-160 =270 (270 men  NO WHITE CAR)

        270/630  =    3/7

what is the median of 72 27 24 11 14 and 12

Answers

Answer: 19

Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.

Answer:

The median is the middle number in numerical order.

Numerical order - [tex]11,12,14,24,27,72[/tex]

There are 6 numbers.

The median is 19.

SOMEBODY PLEASE HELP I NEED THIS ASAP

Answers

Answer:

a = 1000 cm²

Step-by-step explanation:

Center square

20 * 20 = 400cm²

------------------------

Triangle side

a = (1/2)(20)(15)

a = 150

There are 4 sides

a = 4 * 150

a = 600 cm²

-----------------------

Total area

a = 400 - 600

a = 1000 cm²

<3 Help! A teacher buys 8 packs of orange erasers

Answers

Answer:

360 total numbers of easers

Step-by-step explanation:

You first do

8 x 24

which equals

192

then do

6 x 28

which equals

168

then you take

168 + 192

then that will be

360

you are welcome

Identify the two pairs of complementary angles in the figure above. Justify your answer.

Answers

Answer:

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Step-by-step explanation:

the two solid lines are perpendicular, creating 4 right angles

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2

Answers

Answer:

its nothing 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 or 1/3 if you round it.

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