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Rudik [331]
1 year ago
11

What is the simplest form of 324xy³2 ?

Mathematics
1 answer:
cestrela7 [59]1 year ago
8 0

Answer:

2² * 3⁴ * x * y³

Step-by-step explanation:

<h3>Simplify:</h3>

   First prime factorize 324

 324 = 2 * 2 * 3 * 3 * 3 * 3

Now , write in exponent form:

324 = 2²*3⁴

324xy³ =2² * 3⁴ * x * y³

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Sam see you when you divide your answer is always smaller than what you start with
Neko [114]

Answer:

  • I disagree with Sam

Step-by-step explanation:

Disagree, it is not always correct

Consider dividing 5 by 0.5, you get 10 which is greater than what you started with

6 0
2 years ago
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Area triangles? it says show work so pls do
coldgirl [10]

\large{\underline{\underline{\pmb{\sf {\color {blue}{Solution:}}}}}}

Given,

Area = 225 yd²

Base = 30 yd

Height = [To be calculated]

To find:

The height of the given triangle.

We know that, area of a triangle is:

\frac{1}{2}  \times (b \times h) \\  \\  \leadsto \frac{1}{2} \times (30 \times h) \\  \\  \leadsto \frac{1}{2}   \times 30h \\  \\  \leadsto  \frac{1}{ \cancel{2}} \times  \cancel{30}h \\  \\  \leadsto1 \times 15h \\  \\  \leadsto \: h = 15 \: yd

Therefore, the require height is 15 yd.

\green\starProof:

\frac{1}{2}  \times (b \times h) \\  \\  \leadsto \frac{1}{2}  \times (30 \times 15) \\  \\  \leadsto \frac{1}{ \cancel{2}}   \times  \cancel{450} \\  \\  \leadsto1 \times 225  \\  \\  area = 225  {yd}^{2}

\boxed{ \frak \red{brainlysamurai}}

6 0
1 year ago
Evaluate the function requested. Write your answer as a fraction in lowest terms. Find sin A.
Dima020 [189]
Answer: 4 / 5

Explanation:

1) For a right triangle, the ratio sine is defined as:

sin(x) = opposite-leg / hypotenuse

2) x is the angle. In this case: A

3) As per the figure, the opposite leg to tha angle A measures 28

4) As per the figure, the hypotenuse measures 35

5) Calculations:

sin(A) = 28 / 35

Simplify dividing both numerator and denominator by 7 => 28/35 = 4/5
6 0
3 years ago
I’m going to be posting a lot of math questions so look at my account if you wanna answer the rest
IRINA_888 [86]

Answer:

3.Area=πr²

d=14ft

r=7 ft

22/7*7*7

area=154ft²

5.area =1/2 bh

h=13cm

area=32.5cm²

32.5=1/2*13*b

32.5=13/2b

=5.0 or 5

base=5cm

Step-by-step explanation:

4 0
2 years ago
Will all slices created by a slicing plane that passes through a sphere be the same size
Snowcat [4.5K]

Answer:

The suggestion proposed considering special cases, so that’s what we’ll do.

One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.

So if we do manage to get a general formula, we will be able to check it in these special cases.

Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)

Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.

If we recall our answer from that problem, we find the formulae for the surface area

π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.

Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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