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3 years ago

A sphere has a diameter of 11 inches. What is it's surface area? Use 3.14 to approximate pie

1 answer:

5 0

Sphere Surface Area = π • d²
Sphere Surface Area = 3.14 * 11*11
Sphere Surface Area = 3.14 * 121
Sphere Surface Area = 379.94 square inches

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A class of 144 students voted for class president. Three fourths of the students voted for you. The student to go to for you, fi

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2 years ago

Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3>Option 1</h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

Solution 1

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

Solution 2

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3>Option 2</h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

Solution 1

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

$\implies -3=6.5k$

$\implies k=-\dfrac{6}{13}$

Solution 2

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

6 0

1 year ago

Using the diagram, find sin B. Express your answer as a decimal rounded to the nearest hundredth, such as .86 or 0.86.

inessss [21]

Hi, thank you for posting your question here at Brainly.

This problem could be solved using the Law of Cosines, since we are given with the three sides. The equation goes,

b^2 = a^2 + c^2 - 2accosB. Substituting,

24^2 = 7^2 + 25^2 - 2(7)(25)cosB

Then B = 73.7 degrees. Therefore sinB or sin(73.7) = 0.96.

4 0

2 years ago

PQR has vertices at P(2, 4), Q(3, 8) and R(5, 4). A similarity transformation maps

erica [24]

The scale factor would be 3.5

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2 years ago

Which expression has a value of 1/36?

Schach [20]

(1/36) = 0.0277777777778

(1/108)^3 = 7.9383224102 x 10^-7 
(1/9)^4 = 0.000152415790276
(1/6)^2 = 0.0277777777778
(1/2)^5 = 0.03125

The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is C. (1/6)^2

6 0

2 years ago

Read 2 more answers