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3 years ago

Please give the answer to all 3!! thank you for your help.

Mathematics

1 answer:

Verizon [17]3 years ago

7 0

Answer

a) PQ = 50

b) PC = 18

PY = 27

c) ZC = 6

ZQ = 18

Explanation

Centroid is a point inside a triangle where all lines drawn from each vertex to the midpoints of opposite side intersect.

Part a

X is the midpoint of PQ. SoPX = XQ.

If PX = 25,

then PQ = 2PX

PQ = 2×25

PQ = 50

Part b

The centroid is alway two thirds away from the vertex.

Also PC = twice CY

PC = 2×9

PC = 18

So, if CY = 9, then PY = 3 × 9

PY = 27

Part c

(i) The centroid is alway two thirds away from the vertex.

If ZC = 12, then CZ =(1/2)QZ

CZ = (1/2) × 12

CZ = 6

(ii) The centroid is alway two thirds away from the vertex.

So, if CZ = 6, then QZ =3 CZ

QZ = 3×6

QZ = 18

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Given:

The algebra tiles of an equation.

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Solution:

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3 years ago

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin

aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the $y = 4x$ and $y = \frac{x^{2} }{4}$ .

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

$4x = \frac{x^{2} }{4} \\ x^{2} = 16x \\ x^{2} - 16x = 0 \\ x(x-16) = 0$ then $x=0$ o $x=16$ . Therefore the integration limits are:

$y = 4(0) = 0$ and $y = 4(16) = 64$

The inverse functions are given by:

$x = 2 \sqrt{y}$ and $x = \frac{y}{4}$ . Then

The volume of the solid of revolution is given by:

$\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}$

6 0

4 years ago

Find the exact value of csc ø, if cos ø= 1/9; 180° less ø less than 270°

Iteru [2.4K]

Answer:

The answer to your question is: the first option - 9/ $\sqrt{80}$

Step-by-step explanation:

Process

cosФ = adjacent side / hypotenuse

-1/9 = adjacent side / hypotenuse

adjacent side = -1 hypotenuse = 9

c² = a² + b²

b² = c² - a²

b² = 81 - 1

b = $\sqrt{80} \\$ b = opposite side

But b is negative because we are in the third quadrant.

b = - $\sqrt{80}$

Finally csc Ф = hypotenuse / opposite side

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4 0

3 years ago

Pls help see (pic posted)

PolarNik [594]

Answer:

<h2>AB=8.4 inches</h2><h2>AC=13.05 inches</h2>

Solution,

$\frac{ab}{bc} = tan \: 40 \\ ab = bc \times tan \: 40 \\ ab = 10 \times 0.84 \\ ab = 8.4 \: inches \:$

$\frac{bc}{ac} = cos \: 40 \\ \frac{bc}{cos \: 40} = ac \\ ac = \frac{10}{cos \: 40} \\ ac = 13.05 \: inches$

Hope this helps...

Good luck on your assignment..

7 0

4 years ago

The length of a rectangle is twice its width<br> The perimeter of the rectangle is 43cm

boyakko [2]

Answer:

7.17 cm

Step-by-step explanation:

If the width is x, the length is twice this = 2x

And

Perimeter = 2 (W + L)

Perimeter = 2 ( x + 2x)

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Perimeter = 6x

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43= 2 ( 3x)

43 = 6x

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Hope this helps i'm pretty sure this is how you do it :-)

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4 years ago