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4 years ago

What are coordinates of the vertices Of triangle P , Q ,R

Mathematics

2 answers:

lbvjy [14]4 years ago

7 0

Answer:

p: -6

q: 8

r: -4

Step-by-step explanation:

cant really explain vertices

stellarik [79]4 years ago

7 0

P:6 , q:8, r:-4, Thats The Answer

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By visual inspection, determine the best-fitting regression model for the data<br> plot below.

vichka [17]

Answer:

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Step-by-step explanation:

5 0

4 years ago

The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure

Novosadov [1.4K]

Hello!

The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure?

Use 3.14 to approximate π .

Enter your answer in the box. in.³

Data: (Cylinder)

h (height) = 7 in

r (radius) = 2.5 in (The diameter is 5 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cylinder volume)

$V = \pi *r^2*h$

$V = 3.14 *2.5^2*7$

$V = 3.14*6.25*7$

$V = 137.375 \to \boxed{V_{cylinder} \approx 137.38\:in^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 2.5 in (The diameter is 5 being twice the radius)

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{2.5^3}{3}$

$V = 2*3.14 * \dfrac{15.625}{3}$

$V = \dfrac{98.125}{3}$

$\boxed{ V_{hemisphere} \approx 32.70\:in^3}$

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume

Volume of the figure = 137.38 in³ + 32.70 in³

$Volume\:of\:the\:figure =170.08 \to \boxed{\boxed{\boxed{Volume\:of\:the\:figure = 170\:in^3}}}\end{array}}\qquad\quad\checkmark$

_______________________

I Hope this helps, greetings ... Dexteright02! =)

5 0

3 years ago

Read 2 more answers

A square fits exactly inside a circle with each vertices being on the circumference of the circle. The square has a side length

GarryVolchara [31]

Answer:

Therefore,

The value of x is 5.97 cm.

Step-by-step explanation:

Given:

Let the length of side of Square be "x" cm'.

Radius of Circle be "r"

Area of Circle = 56 cm squared

pi = 3.14

To Find:

x = ?

Solution:

We know Area of Circle is given by,

$\textrm{Area of Circle}=\pi r^{2}$

Substituting the values we get

$56=3.14\times r^{2}\\r^{2}=17.83\\Square\ Rooting\\r=\sqrt{17.83}=4.22\ cm$

We have, a square fits exactly inside a circle with each vertices being on the circumference of the circle,

Vertex Angle of a Square is 90°.

In a Circle Diameter Subtends a Right angle,

So it's Diagonal will be the Diameter,

$Diagonal =Diameter$

$Diameter=2\times Radius$

Substituting the values we get

$Diameter=2\times 4.22=8.44\ cm$

Therefore,

$Diagonal = 8.44\ cm$

Also we know that,

Length of Diagonal of a Square for side "x" is given by,

$Diagonal=\sqrt{2}\times x$

Substituting the values we get

$x=\dfrac{8.44}{\sqrt{2}}=5.967\approx 5.97\ cm$

Therefore,

The value of x is 5.97 cm.

3 0

4 years ago

88+(-46)=?<br><br> show how you got the answer plz.

lutik1710 [3]

Answer:

Step-by-step explanation:

88 + (-46) is the same thing as 88 - 46.

$88-46 =42$

3 0

4 years ago

Read 2 more answers

8 more than 2 times a number is 29.

Masteriza [31]

The answer is 10.5 because the equation is 2x+8=29

7 0

3 years ago

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