Round the number 3,250.0883 to the nearest hundredth

Answers

Answer 1

Answer:

3,250.0883 to the nearest hundredth

We write the place chart for the given number

Th H tens Ones . tenths hundredths thousandths Ten thousandths

3 2 5 0 . 0 8 8 3

To round the number to nearest hundredth, we look at the number in thousandths place. 8 is greater than 5 so we add 1 with the number in hundredths place

Hence , the number 8 in hundredth place becomes 8

3,250.0883 rounded to the nearest hundredth is 3,250.09

Answer 2

Answer: 3,250.0883 is rounded to 3,250.09

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Make x the subject of the formula

the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three times as long?

Answers

To solve this problem you must apply the proccedure shown below:

1. You have that the formula for calculate the area of a triangle is:

A=bh/2

Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

bh/2=124
bh=124x2
bh=248

2. The problem asks for the new area of the triangle if its base was half as long and its height was three times as long. Then, you have:

Base=b/2
Height=3h

3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

A'=bh/2

(A' is the new area)

A'=(b/2)(3)/2
A'=3bh/4

4. When you substitute bh=248 into A'=3bh/4, you obtain:

A'=186 units²

The answer is: 186 units²

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).a = and b =

Answers

Answer:

Hence, we have:

a= 3 and b= 4

Step-by-step explanation:

It is given that:

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).

i.e.

$(a+ib)(2+3i)-i=(-11+5i)(1-i)\n\ni.e.\n\na(2+3i)+ib(2+3i)-i=-11(1-i)+5i(1-i)\n\ni.e.\n\n2a+3ai+2bi+3bi^2-i=-11+11i+5i-5i^2$

Since, we know that :

$i^2=-1$

Hence, we have:

$2a+3ai+2bi-3b-i=-11+11i+5i+5\n\ni.e.\n\n(2a-3b)+i(3a+2b-1)=-11+5+11i+5i\n\ni.e.\n\n(2a-3b)+i(3a+2b-1)=-6+16i$

i.e. we have:

$2a-3b=-6---------(1)$

and

$3a+2b-1=16\n\ni.e.\n\n3a+2b=16+1\n\ni.e.\n\n3a+2b=17------------(2)$

On multiplying equation (1) by 2 and equation (2) by 3 we get:

$13a=39\n\ni.e.\n\na=3$

on putting the value of a into equation (1) we get:

$2* 3-3b=-6\n\ni.e.\n\n6-3b=-6\n\ni.e.\n\n-3b=-6-6\n\ni.e.\n\n-3b=-12\n\ni.e.\n\nb=4$

(a+bi)(2+3i)-i=(-11+5i)(1-i)
2a+3ai+2bi+3bi²-i=-11+11i+5i-5i²
2a+(3a+2b-1)i-3b=-11+16i+5
(2a-3b)+(3a+2b-1)i=-6+16i
Therefore; we have the next system of equations:
2a-3b=-6
3a+2b-1=16

Finally, the system of equations is:
2a-3b=-6
3a+2b=17
We can solve this system of equations by reduction method
2(2a-3b=-6)
3(3a+2b=17)
----------------------
   13a=39 ⇒a=39/13=3

3(2a-3b=-6)
-2(3a+2b=17)
----------------------
   -13b=-52 ⇒ b=52/13=4

Answer: a=3;    b=4

Verify/prove the following trigonometric identity:cos (x)/sec (x) + sin (x)/csc (x) = sec^2 (x) − tan^2 (x)

Answers

Answer:

I THINK ITWORKS

TRY IT

If (x2 +3x +5)(x2 +3x - 5) = m2-n2, then find m ?

Answers

$(x^2+3x+5)(x^2+3x-5)=m^2-n^2\n\n\ [(x^2+3x)+5][(x^2+3x)-5]=(m+n)(m-n)\n\nm=x^2+3x;\ n=5$

Which equation would you use to solve the following situation?Molly buys some concert tickets at $10 each. If she spends $90 on the tickets, how many did she buy?

90 -t = 10
10t = 90
10 + 90 = t
9t = 90

Answers

The required equation for the tickets Molly buys is 10t = 90.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Price of one ticket bought by Molly = $10,

Also,

Amount spent by Molly on tickets = $90.

To find the equation,

Let Molly buys t concern tickets,

Since, the price of one ticket is $10,

Total price for tickets = 10t

The total amount is $90,

So, the equation can be written as,

10t = 90

To know more about Equation on:

brainly.com/question/187506

#SPJ5

You would use the last one, because each ticket is $10 and you want to see how many tickets she could buy. Although the way to work it out would be:

90 / 10 = 9

This is because you're told the price and how much they cost individually.

Choose the value for which 2/a+8 is undefined

Answers

If the value is:

$\sf{(2)/(a+8)}$

Then it will be undefined when the denominator is equal to 0.

So set the denominator equal to 0

a + 8 = 0
a = -8

So when

$\huge{\boxed{\bf{a=-8}}}$

then the value will be undefined.

Just a note:

$\sf{(x)/(0)=}$ undefined

$\sf{(0)/(x)=0}$

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