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Sergeeva-Olga [200]
2 years ago
15

Mai has a dome paperweight that she can use as a magnifier. The paperweight is

Mathematics
1 answer:
Shkiper50 [21]2 years ago
6 0

Answer:

6 x 6 x 3 cm

Step-by-step explanation:

The base of the box needs to fit the base of the hemisphere.

The maximum width and length of the hemisphere is the diameter of the base of the hemisphere (which is circular)

Diameter of a circle = 2r

As the radius = 3 cm,  the diameter = 2 x 3 = 6 cm

Therefore, the width and length of the box should both be 6cm

The height of the box needs to accommodate the height of the hemisphere.  The height of the hemisphere is the radius, so the height of the box should be 3 cm.

Therefore, the dimensions of the box should be 6 x 6 x 3 cm

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AB is a diameter of a circle, center O. C is a point on the circumference of the circle, such that
Solnce55 [7]

Given:

AB is the diameter of a circle.

m∠CAB = 26°

To find:

The measure of m∠CBA.

Solution:

Angle formed in the diameter of a circle is always 90°.

⇒ m∠ACB = 90°

In triangle ACB,

Sum of the angles in the triangle = 180°

m∠CAB + m∠ACB + m∠CBA = 180°

26° + 90° + m∠CBA = 180°

116° + m∠CBA = 180°

Subtract 116° from both sides.

116° + m∠CBA - 116° = 180° - 116°

m∠CBA = 64°

The measure of m∠CBA is 64°.

7 0
3 years ago
Last term of the arithmetic progression 8,15,22 is 218. Find<br>the number of terms.​
icang [17]

Answer:

31 terms.

Step-by-step explanation:

218 = 8 +  (n-1)7

210 = (n-1)7

30 + n-1

n = 31

There would be 31 terms in the given AP.

7 0
3 years ago
#14 <br> quick answer pls :)
Andrej [43]

Answer:

35.56

Step-by-step explanation:

4 0
1 year ago
A wheel has 10 equally sized slices numbered from 1 to 10.
Ksenya-84 [330]

The random probability of event X, wheel stopping on a white slice is 0.9 while the probability of not X, wheel stopping on Grey slice is 0.1

  • Total numbers on wheel = total possible outcomes = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

  • Grey colored portion = {3}

  • White colored portion = {1, 2, 4, 5, 6, 7, 8, 9, 10}

  • X = Event that wheel stops on a white slice

  • P(X) = number of white slices ÷ total number of slices

  • P(X) = 9 / 10 = 0.9

  • P(not X) = 1 - P(X)

  • P(not X) = 1 - 0.9 = 0.1

Therefore, the probability that wheel stops on a white slice is 0.9 while, the probability that wheel does not stop on a white slice is 0.1

Learn more :brainly.com/question/18153040

4 0
3 years ago
{(-5,9),(2, 31), (9, 143), (11, 151),(0, 42),(5, 97)}
wlad13 [49]

The number 7 is the best prediction of the output when the input is 13.

<h3>What is the equation of a line passing through two given points in 2 dimensional plane?</h3>

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

(y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)

The equation of the line is found as;

\rm y-y_1=  \frac{y_2-y_1}{x_2-x_1}      \\\\ \rm y-9=                                         \frac{31-9}{2+5} (x+5)\\\\ 7y-63 = \frac{31-9}{2+5} (c+5)\\\\ 7y-63=22x+110\\\\ 7y= 22x+173 \\\\ but ,x=13\\\\ 7y=22 \times 13 +173\\\\ y= \frac{1259}{7} \\\\ y= 179

Learn more about straight line equation here:

brainly.com/question/380976

#SPJ1

8 0
1 year ago
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