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3 years ago

What the number in two other forms for 4.293?

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

4 0

4.293= 4 $\frac{293}{10000}$

4.293= 4+0.2+0.09+0.003

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Two complementary angles have a difference of 22 degrees. What are the two angles?

ArbitrLikvidat [17]

Answer:

If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️

Above sum solution....

one angle =x

other angle =y

According to question

x+y= 90°......(1)

x-y=22°......(2)

from one and two ....by eliminating method...

2y=68

y=68/2

y=34

put y in equation 1

x+y=90°

x+34=90°

x=90°-34

x= 56...

To verify add both

sum = 90°

Hence ..verified...

Step-by-step explanation:

hope its helps u...☺️✌️✌️

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3 years ago

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Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

3 years ago

The diagram shows a cube of side length 2 cm.

Julli [10]

Dont mind this its just to ask a question

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3 years ago

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Help please............

AnnyKZ [126]

Hello!!

Well, the angles in a triangle must add up to 180 degrees.
So, since one angle is 40 degrees, the other two angles must add up to 140 degrees.
A quick look over the answer choices will show that option C, 35 degrees and 105 degrees, is the only possible answer.

Hope this helps!! Let me know if you have ANY questions.

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3 years ago

Which inequality represents "six times a number is less than negative thirty-nine and three-quarters"?

jarptica [38.1K]

Answer:

6*n < - (39 + 3/4)

Step-by-step explanation:

Let's do it in steps:

"Six times a number" can be written as:

6*n

Where n is the "number"

"... is less than negative thirty-nine and three-quarters "

then we have:

6*n < - (39 + 3/4)

This is the inequality we wanted, now we can also solve this for n as:

n < -(39 + 3/4)/6

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3 years ago