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2 years ago

Help me answer this question??

Mathematics

1 answer:

Komok [63]2 years ago

5 0

Part (i)

The square has area of 12*12 = 144 square meters. From that, we carve out four quarter-circles from each corner, as the diagram shows. Imagine that we rearranged the quarter circles so that they would then form a full circle. This circle would have radius 6 (half of the 12 meters), so the area of the circle is pi*r^2 = pi*6^2 = 36pi exactly

The four white sections combine to an exact area of 36pi, which approximates to 36*3.14 = 113.04 square meters. Use more decimal digits in pi to get a better approximation.

Exact answer: 36pi square meters

Approximate answer: 113.04 square meters (when using pi = 3.14)

=======================================================

Part (ii)

Once we know what the white sections combine to, we can subtract that area from the total overall area of 144 m^2

We end up with 144 - 36pi as the exact area of the red section

This approximates to 144 - 36*3.14 = 30.96 m^2

Exact answer: 144 - 36pi square meters

Approximate answer: 30.96 square meters (when using pi = 3.14)

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Step-by-step explanation:

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1 year ago

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3 years ago

Can someone please show me how<br><br> 19169000*e^(0.15)= 222712201<br><br> When e= 2.7182818284?

Ierofanga [76]

Answer:

It doesn't. x = 22 271 201

Step-by-step explanation:

You are going to need a calculator no matter how you do it.

$x =19 169 000 \times e^{0.15}$

(a) The direct method

$x = 19 169 000\times 2.718 281 828^{0.15} = 19 169 000 \times 1.161 834 243 = 22 271 201$

(b) The indirect method

$\ln \left (19 169 000\times 2.718 281 828^{0.15} \right ) = \ln(19 169 000) + 0.15 = 16.768 805 + 0.15 = 16.918 804\\\\e^{16.918 804} = 22 271 201$

8 0

3 years ago

If 5 + 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline + 5, what is the value of x? –

sp2606 [1]

Answer:

<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>

Step-by-step explanation:

Given equation is $5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

<h3>To find the value of x :</h3>

First solving the given equation we have,

$5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

$5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5$

$20\times (2)^{2-3x}=10\times (2)^{-2x}$

$20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}$

$20\times 4.(2)^{-3x}=10\times (2)^{-2x}$

$80(2)^{-3x}=10\times (2)^{-2x}$

$\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}$

$8(2)^{-3x}=(2)^{-2x}$

$\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}$

$(2)^{-3x}.(2)^{2x}=\frac{1}{2^3}$ ( by using the property $\frac{1}{a^{-m}}=a^m$ )

$2^{-3x+2x}=\frac{1}{2^3}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$2^{-x}=\frac{1}{2^3}$

$\frac{1}{2^x}=\frac{1}{2^3}$ ( by using the property $a^{-m}=\frac{1}{a^m}$ )

Since bases are same so powers are same

Therefore we can equate the powers we get x=3

<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>

5 0

3 years ago

Read 2 more answers

Need help asap plz help dont have many points but ill give yu all i have if u help

Anna71 [15]

Hello!

We can go through the choices and see if they are true

Choice 1
A function has one output for every input

This is not a function because it has -1 as an output for both 4 and -1

This is the answer
------------------------------------------------------------------------------------------------------
Choice 2
The inputs are the x's

We see that the inputs are -1, 0, 3, and 4

This is true
------------------------------------------------------------------------------------------------------
Choice 3
The outputs are the y's

We see the outputs are -2, -1, and 1

This is true
------------------------------------------------------------------------------------------------------
Choice 4
We can follow the lines and see the relations are

(-1, 1), (0, -2), (3, 1), (4, -1)

This is also true
------------------------------------------------------------------------------------------------------
The only one that was false was the first choice so that is the answer

The answer is A) The diagram represents a function
------------------------------------------------------------------------------------------------------
Hope this helps!

4 0

2 years ago