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n200080 [17]
3 years ago
13

Please help me to solve this question.

Mathematics
1 answer:
insens350 [35]3 years ago
6 0

Answer:

314 \frac{2}{7} cm^{2}

Step-by-step explanation:

Surface area of sphere= 4πr², where r is the radius of the sphere.

Given that the diameter is 10cm,

2(radius)= 10cm

radius= 10 ÷2

radius= 5cm

Surface area of sphere

= 4( \frac{22}{7} )( {5}^{2} ) \\  = 314 \frac{2}{7} cm^{2}

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love history [14]

x=2.5 pls give brainliest hope i helped

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3 years ago
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Can someone explain to me or help me get an intuition for why phi = 2 * theta in this case? Why is this property always true?
Alenkasestr [34]
This is obtuse ?

let phi =  135

2theta = 180 -135 = 45

theta = 22.5

phi != 2 * 22.5 != 45

Did you mean ?

phi = 180 - 2theta

Can you provide more explanation ?
6 0
3 years ago
Billy is monitoring the exponential decay of a radioactive compound. He has a sample of the compound in a test tube in his lab.
Over [174]

Solution:

Formula for radioactive Decay is given by

R_{0}= R(1-\frac{S}{100})^t

R_{0}= Initial Population

R = Remaining population after time in hours

Rate of Decay = S % per hour

Initial Population = 72 grams

Final population = 15 grams

Rate of Decay = 35 % per hour

Substituting the values to get value of t in hours

72=15(1-\frac{35}{100})^t\\\\ 4.8= (0.65)^t\\\\ t= -3.64→→1 St expression

But taking positive value of t , that is after 3.64 hours the sample of 72 grams decays to 15 grams at the rate of 35 % per hour.

Now , it is also given that, Once the sample reaches a mass of 15 grams, Billy will continually add more of the compound to keep the sample size at a minimum of 15 grams.

Substituting these in Decay Formula

Final Sample = 15 gm

Starting Sample = 15 +k, where k is amount of sample added each time to keep the final sample to 15 grams.

Time is over 3.64 hours i.e new time = 3.64 + t

Rate will remain same i.e 35 % per hour.

15=(15+k)(1-\frac{35}{100})^{3.64+t}→→→  Final expression (Second) , that is inequalities can be used to determine the possible mass of the radioactive sample over time.







5 0
3 years ago
Read 2 more answers
Here are 4 triangles that have each been transformed by a different transformation.
Ugo [173]

This is about understanding rigid transformations.

<u><em>Option 4 is not a rigid transformation.</em></u>

  • In mathematics, transformation could be;

Rigid Transformation; This includes reflection, rotation, translation.

Non - Rigid Transformation; This includes dilation and shear.

  • Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.

Whereas, it is termed non - rigid transformation if the shape or size changes.

Let us look at the triangles in the option;

  • Option 1; In this  option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 2; In this  option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.

  • Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.

Read more at; brainly.com/question/16979384

4 0
1 year ago
Please answer !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
KIM [24]

Answer:

m∠B = 69°

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties
  • Complementary Angles add up to 90°

Step-by-step explanation:

<u>Step 1: Define</u>

m∠A = (x + 9)°

m∠B = (7x - 15)°

<u>Step 2: Set up equation</u>

m∠A + m∠B = 90°

(x + 9)° + (7x - 15)° = 90°

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    8x - 6 = 90
  2. Add 6 to both sides:                    8x = 96
  3. Divide both sides by 8:                x = 12

<u>Step 4: Find m∠B</u>

  1. Define:                    m∠B = (7x - 15)°
  2. Substitute:              m∠B = (7(12) - 15)°
  3. Multiply:                  m∠B = (84 - 15)°
  4. Subtract:                 m∠B = 69°
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