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4 years ago

Triangle XYZ has vertices X(-6, 3), Y(4,5), and Z(-2,-1).

Mathematics

1 answer:

Greeley [361]4 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

A translation of 9 units to the right means adding 9 to the x- coordinates of the original points, while the y- coordinate remains unchanged, thus

X(- 6, 3 ) → X'(- 6 + 9, 3 ) → X'(3, 3 )

Y(4, 5 ) → Y'(4 + 9, 5 ) → Y'(13, 5 )

Z(- 2, - 1 ) → Z'(- 2 + 9, - 1 ) → Z'(7, - 1 )

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The arc length of a sector created by a 90° angle is 25 cm. What is the circumference of the entire circle? Express

docker41 [41]

Answer:

We know length of one quarter of a circle = 2πr/4 = πr/2

So here we can make the equation for to find thr value of radius r

length of one quarter given = 25 cm

so πr/2 = 25 cm

=> πr = 50 cm

=> r = 50/π cm

So the entire circumference of circle =

2πr

= 2 π 50/π cm

= 100π/π cm (ans)

Here we dont substitute the value of π due to represent the answer in terms of pi.

Hope it helps you

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3 years ago

Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat

wlad13 [49]

Answer: Option C.

Step-by-step explanation:

Use the formula for calculate the volume of a cone:

$V=\frac{1}{3}\pi r^2h$

Where r is the radius and h is the height.

Volume of the cone A:

$V_A=\frac{1}{3}\pi (2in)^2(3in)=12.56in^3$

Volume of the cone B:

If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

$r_B=2r_A\\r_B=2*2in\\r_B=4in$

Then:

$V_B=\frac{1}{3}\pi (4in)^2(3in)=50.26in^3$

Divide $V_B$ by $V_A$ :

$\frac{V_B}{V_A}=\frac{50.26in^3}{12.56in^3}=4$

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.

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3 years ago

Read 2 more answers

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coldgirl [10]

Step-by-step explanation:

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3 years ago

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Iteru [2.4K]

parallel lines have the same slope

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3 years ago

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200/100=8/x (and this

morpeh [17]

Answer:

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Step-by-step explanation:

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3 years ago