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Brut [27]
3 years ago
15

Determine the dimensions of a rectangular solid (with square base) with a maximum volume if its surface are is 337.5 square cent

imeters.
Mathematics
1 answer:
juin [17]3 years ago
7 0
The question is asking to determine the dimension of a rectangular solid with a maximum volume if its surface area is 337.5 square centimeters and base on my further computation, I would say that the answer would be x= sqrt 56.25 and y = 7.5 and having a maximum volume of 421.875. I hope this would help 
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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.​
dolphi86 [110]

Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=5,\ leg=h,\ hypotenuse=20

Substitute:

5^2+h^2=20^2

25+h^2=400             <em>subtract 25 from both sides</em>

h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm

Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

8 0
3 years ago
At an electronics store, Tim earns $15 per hour, plus a 6% commission on his sales. If he works 6 hours and sells $800 in mercha
emmainna [20.7K]

Answer:

A. 138

Step-by-step explanation:

6 0
2 years ago
Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C
Mama L [17]

Total number of pizzas Juan ordered 20

Since, 45\% of pizzas have 8 slices.

Therefore, number of pizzas with 8 slices are: 45\%\times(20)

                                                                                          =\frac{45}{100} \times(20)

                                                                                          =\frac{45}{10} \times(2)

                                                                                          =\frac{90}{10}

                                                                                          =9 pizzas


Also, since, 55\% of pizzas have 12 slices.

Therefore, number of pizzas with 12 slices are: 55\%\times(20)

                                                                                          =\frac{55}{100} \times(20)

                                                                                          =\frac{55}{10} \times(2)

                                                                                          =\frac{110}{10}

                                                                                          =11 pizzas


Now, there are 9 pizzas with 8 slices and 11 pizzas with 12 slices.

Therefore, total number of slices of pizza are: =(9)(8)+(11)(12)

                                                                            =72+132

                                                                            =204 slices

5 0
3 years ago
The ages of people on the camp bus are listed. 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16 What is the mode of the ages?
oksian1 [2.3K]
Mode is the number that mostly occurs so its a.10
3 0
3 years ago
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Which ordered pair best represents the location of point A. A(2,3) B(3,2) C(2,2) D(3,3) Pls explain your answer :) 20 points​
Daniel [21]

Answer:

The correct answer is B

Step-by-step explanation:

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