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3 years ago

This question is hard

Mathematics

2 answers:

Nikolay [14]3 years ago

6 0

The scale factor is 2.Hope this helps

VashaNatasha [74]3 years ago

3 0

Answer:

the scale fator would be 2

Step-by-step explanation:

It would be 2 because u could draw it out and ask for help by ur pearents

Hope that helpd

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What is the mean? If the answer is a decimal, round it to the nearest tenth.

Rasek [7]

Answer:

Round out to the nearest 10th say 5 it would stay 5 unlike 8 would round to 10

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The radius of the base of the cylinder is 2x cm and the height of the cylinder is h cm.

valentina_108 [34]

Answer:

h = 9x

Step-by-step explanation:

Given: i. for the cylinder, base radius = 2x cm, height = h cm

ii. for the sphere, radius = 3x cm

iii. volume of the cylinder = volume of the sphere

volume of a cylinder is given as;

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

where: r is its base radius and h the height

volume of the given cylinder = $\frac{1}{3}$ $\pi$ x $(2x)^{2}$ x h

= $\frac{1}{3}$ $\pi$ x 4 $x^{2}$ x h

= $\frac{4}{3}$ $\pi$ $x^{2}$ h

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

where r is the radius.

volume of the given sphere = $\frac{4}{3}$ $\pi$ x $(3x)^{3}$

= $\frac{4}{3}$ $\pi$ x 9 $x^{3}$

= 12 $\pi$ $x^{3}$

Since,

volume of the cylinder = volume of the sphere

Then we have;

$\frac{4}{3}$ $\pi$ $x^{2}$ h = 12 $\pi$ $x^{3}$

4 $\pi$ $x^{2}$ h = 36 $\pi$ $x^{3}$

subtract $x^{2}$ from both sides

4 $\pi$ h = 36 $\pi$ x

divide both sides by 4 $\pi$

h = $\frac{36\pi x}{4\pi }$

= 9x

h = 9x

5 0

3 years ago

Please help, will give 25 points

puteri [66]

Answer:

need to find value of x

Step-by-step explanation:

5 0

3 years ago

Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CDB 40 points

leonid [27]

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo

svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

$a^x \times a^y = a^{x+y}$

In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : $a^x = a^y$ ⇒ $x = y$ [∵ Bases are equal on both the sides]

__________________________________________________________

$4 \times 8^{2x+1} = 32^{x+2}$

Lets express it in terms of 2.

$=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}$

$=> 2^2 \times 2^{6x+3} = 2^{5x+10}$

$=> 2^{2 + 6x+3} = 2^{5x+10}$

$=> 2^{6x+5} = 2^{5x+10}$

Here the bases on both the sides are equal. Hence ,

$=> 6x + 5 = 5x + 10$

$=> 6x - 5x = 10 - 5$

$=> x = 5$

6 0

3 years ago