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andrezito [222]
4 years ago
6

The pyramid has a square base that is inscribed in the circular base of a cone. Draw an image of the composite shape of the base

.

Mathematics
1 answer:
belka [17]4 years ago
5 0

Answer:

We are given that the pyramid has a square base that is inscribed in the circular base of a cone.

" To inscribe something means to draw (a figure) within another so that their boundaries touch but do not intersect "

Hence we have to draw a figure such that the  vertices of the square base of pyramid touch the points on the circle which is a base of a circular cone and also the top of the pyramid touches the top of the cone.

The figure of this question is attached to the answer.



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Show that the points A(-1,2), B (5,2) and C (2,5) are the vertices of an isosceles triangle. Find the area of ∆ABC
EastWind [94]

Answer:

the area of ∆ABC = 9

Step-by-step explanation:

CA=\sqrt{\left( -1-2\right)^{2}  +\left( 2-5\right)^{2}  } = \sqrt{18} =3\sqrt{2}

CB=\sqrt{\left( 5-2\right)^{2}  +\left( 2-5\right)^{2}  } = \sqrt{18} =3\sqrt{2}

<em>Since</em> CA = CB  <em>then</em>  A(-1,2), B (5,2) and C (2,5) are the vertices of an isosceles triangle.

Area calculation:

Let The point H be the midpoint of side AB

x_{H}=\frac{-1+5}{2} =2\\y_{H}=\frac{2+2}{2} =2

Then

H(2 , 2)

therefore,

CH=\sqrt{\left( 2-2{}\right)^{2}  +\left( 2-5\right)^{2}  } =3

Finally,

\text{the area of triangle ABC} =\frac{\text{CH} \times \text{AB} }{2} =\frac{3\times 6}{2} =9

5 0
2 years ago
I will give brainly !!! help me with this
lina2011 [118]

Answer:

4x^14

Step-by-step explanation:

(4x^5y³)÷(y³x^-9)

4x^14

3 0
4 years ago
Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rin
Mariana [72]

Answer:

The answer is: 13 minutes

Step-by-step explanation:

First Let us form equations with the statements in the two scenario

time=\frac{distance}{speed}

Let the time in which the bell rings be 'x'

1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes

3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)

2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes

x - 3 = \frac{distance}{80} \\distance = 80(x-3)   - - - - - (2)

In both cases, the same distance is travelled, therefore, equation (1) = equation (2)

50(3+x)=80(x-3)

150 +50x=80x-240\\

Next, collecting like terms:

150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\

dividing both sides by 3:

x =  390÷30 = 13

∴ x = 13 minutes

7 0
3 years ago
What is the period of y = sin(3x)?<br> E of<br> хоо оо
Naya [18.7K]

Answer: The period of

f(x) = sin(3x)  is 2\pi /3.

Step-by-step explanation:

To find the period of a trigonometric function, we use the formula

\frac{2\pi }{|b|}. In this case, b = 3, so we plug it in:

\frac{2\pi }{|3|} = \frac{2\pi }{3}

Therefore, the period of f(x) = sin(3x) is 2\pi /3

7 0
4 years ago
Marcella is flying a kite in a competition. To win the competition, her kite string must have at least 162 feet
Elodia [21]

Answer:

No. 159.74 < 162 feet

Step-by-step explanation:

\sin(28)  = \frac{75}{x}  \\ x =  \frac{75}{0.4695}  \\ x = 159.74

5 0
2 years ago
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