round 0.00543998 to 2 significant figures

Answer:

solution,

In a parallelogram, diagonal bisects angle into two equal parts. So,

<TVU=<TVW

or, 5x=50

or, X=50/5

X=10

Hope this helps..

Good luck on your assignment.

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

WVT angle = UTV angle (alternative angles)

[tex]80 + 5x + 50 =1 80 \\ 130 + 5x = 180 \\ 5 x = 180 - 130 \\ 5x = 50 \\ \frac{5x}{5} = \frac{50}{5} \\ x = 10[/tex]

Answer:

They did pay at the same rate

Step-by-step explanation:

when dividing 47 by 3 you get 15.666... and when dividing 141 by 9 you also get 15.666... using this you can deduce that it is the same rate.

Answer:

Yes

Step-by-step explanation:

We can use ratios for this:

Diego:

47:3 tickets

Divide both sides by 3 so you get the price of one ticket

15.67: 1 ticket

Andre:

141: 9 tickets

Divide both sides by 9 so you get the price of one ticket

15.67: 1 ticket

Answer:

The answer is option D.

All real numbers including zero

Hope this helps

Answer:

all non zero real numbers is the answer to the question.

this is because 0 cannot be a function of f of x because you would have undefined as an answer so therefore the answer is all non zero real numbers

Answer:

[tex]$k=\frac{7}{4} $[/tex]

Step-by-step explanation:

[tex]2x^2+px-15=0[/tex]

Once [tex]x=-5[/tex]

[tex]2(-5)^2+p(-5)-15=0[/tex]

[tex]2(25)-5p-15=0[/tex]

[tex]50-5p-15=0[/tex]

[tex]35-5p=0[/tex]

[tex]p=7[/tex]

Quadratic Equation:

[tex]2x^2+7x-15=0[/tex]

[tex]p(x^2+x)+k=0 \Rightarrow 7(x^2+x)+k=0 \Rightarrow 7x^2+7x+k=0[/tex]

[tex]\Delta=b^2-4ac[/tex]

[tex]\Delta=7^2-4(7)k[/tex]

[tex]\Delta=49-28k[/tex]

The quadratic equation having two equal roots means that the discriminant is equal to zero.

[tex]0=49-28k[/tex]

[tex]-49=-28k[/tex]

[tex]$k=\frac{49}{28} $[/tex]

[tex]$k=\frac{7}{4} $[/tex]

x>2

The greatest possible value cannot be stated as it is not mentioned whether it is a right angled triangle, which is hypotenuse, or which is the smallest/largest side.

Answer:

49/6 < x < 41/2.

Step-by-step explanation:

In any triangle, each side is shorter than the sum of two other sides.

It gives three independent inequality

45 < 4x + (2x-4),   (1)

4x < 45 + (2x-4),   (2)

2x-4 < 45 + 4x.     (3)

From (1),  6x > 45 + 4 = 49    --->  x > 49/6

From (2),  2x < 45 - 4 = 41    --->  x < 4/2

From (3),  2x > -4 - 45 = -49  --->  x > -49/2

Answer:

C. Undefined

Step-by-step explanation:

Any vertical line is going to have an undefined slope. Plug in any two points from that line, and the formula will give you an undefined number.

Hope this helps!

Answer:

Are there other numbers? Other than he bought 8 eggs?

Step-by-step explanation:

Answer:

(2.236,9.472).

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]     ...(1)

where, (h,k) is center and r is radius of the circle.

It is given that radius of the circle is 5 and center at (0,5). So, the equation of circle is

[tex](x-0)^2+(y-5)^2=5^2[/tex]

[tex]x^2+(y-5)^2=25[/tex]     ...(2)

The given equation of line is

[tex]y=2x+5[/tex]       ...(3)

We need to find the intersection point of line and circle in first quadrant.

On solving (2) and (3), we get

[tex]x^2+((2x+5)-5)^2=25[/tex]

[tex]x^2+(2x)^2=25[/tex]

[tex]x^2+4x^2=25[/tex]

[tex]5x^2=25[/tex]

[tex]x^2=5[/tex]

[tex]x=\pm \sqrt{5}=\pm 2.236[/tex]

At x=2.236,

[tex]y=2(2.236)+5=9.472[/tex]  

At x=-2.236,

[tex]y=2(-2.236)+5=0.528[/tex]  

It means line intersect the circle at (2.236,9.472) and (-2.236,0.528).

In first quadrant both coordinates are positive.

Therefore, the required point is (2.236,9.472).

Answer:

Step-by-step explanation:

the division expression equivalent to  4 1/3  /  (-5/6) is

13/3  /  (-5/6)

The solution is A

4 1/3 is 13/3

4x3= 12 + 1 = 13 which is 13/3

Answer: a = 0.3

Step-by-step explanation:

First, distribute(-1)

5.3a-0.8-1.6+4.7a=2a-(a-0.3)

Then, distribute(-1)

5.3a-0.8-1.6+4.7a=2a-a+0.3

Then, combine like terms

10a-2.4=a+0.3

Then, add(2.4)

10a=a+2.7

Then, subtract(a)

9a=2.7

Then, divide(9)

a = 0.3

Hope it helps <3

Answer:

a = 0.3.

Step-by-step explanation:

(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)

5.3a − 0.8 − 1.6 + 4.7a = 2a − a + 0.3

5.3a + 4.7a - 2a + a =  0.3 + 0.8 + 1.6

9a = 2.7

a = 0.3.

Answer:

∠AOB = 101°

Step-by-step explanation:

Given:

AD is the angle bisector of ∠A

BE is the angle bisector of ∠B.

∠A = 125°

∠B = 33°

Find:

∠AOB

Computation:

∠BAO = 125° / 2 = 62.5°

∠ABO = 33°/2 = 16.5°

So,

∠AOB + ∠BAO + ∠ABO = 180°

∠AOB + 62.5° + 16.5° = 180°

∠AOB = 101°

Answer:

-1

Step-by-step explanation:

Move the +16 onto the other side. We now have 52 = -52x. Divide each side by 54 to get x = -1.

Answer:

-1=x

Step-by-step explanation:

68=-52x+16

Minus sixteen on both sides

52=-52x

Divide -52 on both sides which will equal to -1

-1=x

Answer: 1112312345 hope this helps

Answer:

Option b.

Step-by-step explanation:

If the starting value a, the growth factor b, and the growth rate r, then

[tex]Q=ab^t=a(1+r)^t[/tex]        ...(1)

It is given that

[tex]Q=1750(1.593)^t[/tex]        ...(2)

On comparing (1) and (2), we get

[tex]a=1750, b=1.593[/tex]

Now, equation (2) can be rewritten as

[tex]Q=1750(1+0.593)^t[/tex]        ...(3)

On comparing (1) and (2), we get

[tex]r=0.593[/tex]

[tex]r=(0.593\times 100)\%[/tex]

[tex]r=59.3\%[/tex]

Therefore, the correct option is b.

Answer:

no solutions

Step-by-step explanation:

x-y=6

y=x-4

Subtract x from each side

-x+y = x-4-x

-x+y = -4

Add this to the first equation

x-y=6

-x+y = -4

---------------

0x + 0y = 2

0=2

This is never true so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

x - y = 6

y = x - 4

Solve for x in the first equation.

x = 6 + y

Put x as 6 + y in the second equation and solve.

y = (6 + y) - 4

y - y = 6 - 4

0 = -2

There are no solutions.

Answer:

12

Step-by-step explanation:

Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.

Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.

The equations:

(Ama is a)

(Ama's sister is s)

a = (2/3)s

a - 4 = (1/2)(s - 4)

Step one:

You would substitute the first equation into the second equation to get

(2/3)s - 4 = (1/2)(s - 4)

Step two:

Multiply by 6 to get rid of the fractions to get

4s - 24 = 3(s - 4)

Step three:

Simplify to get

4s - 24 = 3s - 12

Step four:

Subtract 3s and add 24 to get

s = 12

Step five:

Input the s value into the first equation to get

a = (2/3)(12) = 8

If this helped please rate, thanks, and mark brainliest! Also, please comment if it's correct :)

Step-by-step explanation:

let ama's age be x

and ama's sister be y

according to question

3x=2y --------(1)

x-4=(y-4)/2 ---------(2)

after solving equation (1) and (2)

we get ama's age is 8 years and AMA'S SISTER AGE IS 12 years

Answer:

Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 5900 - x

Simple interest = Prt

Simple interest on $x = x * 0.11 * 1 = 0.11x

Simple interest on $ (5900 - x) = (5900 - x) * 0.07 * 1

                                                   = (5900 - x) * 0.07

                                                   = 5900 * 0.07 - x * 0.07

                                                   = 413 - 0.07x

Return from tow investment =  $ 537

0.11x + 413 - 0.07x = 537  

Add the like terms

0.04x + 413 = 537

Subtract 413 for both sides

0.04x = 537 - 413

0.04x = 124

x = 124 /0.04

x = 3100

y = 5900 -  3100 = 2800

x = $ 3100

y = $ 2800  

Answer:

42

Step-by-step explanation:

Answer:

42ft squared

Step-by-step explanation:

Answer:

there were 22 folders originally

Michaela originally has 27 folders. Hence option D) is correct.

Michaela has three times  as many folders as Alejandro.
Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro.

In mathematics it deals with numbers of operations according to the statements.

Now, let Alejandro has x folders corresponding Michaela has 3x folders
According to the condition
3x-5 =  x+5+8

2x = 18
x = 9
now
Michaela = 3x
= 3 x 9
= 27

Thus, Michaela originally has 27 folders.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

The total amount that all three friends have = $258

Step-by-step explanation:

Three friends: let their initial money be  Ami's money =A, Jan = B, Toy = C

Toy started with $36 and ended with same amount

C = $36

After Ami gives, She is left with= A-x

Jan becomes= 2B

Toy becomes= 2C = 2×36 = 72

After Jan gives, Jan is left with = 2B-y

Ami now has = 2(A-x)

Toy now has = 2(72) = 144

After Toy gives, Toy is left with= 144-z

Ami now has = 2(2)(A-x) = 4(A-x)

Jan now has = 2(2B-y)

Since Toy is left with $36 at the end:

36 = 144-z

z = 144-36 = 108

So Toy spent $108 to double his two other friend's money

Both Amy  and Jan had $108 in total when Toy had $144

Difference between the deductions across = $108

The total amount that all three friends have = 144+108

The total amount that all three friends have= $258

Answer:

The answer is 252

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

P( coin = heads) = number of heads / total = 1/2

P( cube = 5) = number of 5's / total =1/6

P( heads, 5) =1/2 * 1/6 = 1/12

The coin toss and the number cube roll are independent events.

This is because the result of the coin toss does

not affect the result of the number cube roll.

To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.

Since there is only one way to get heads when tossing a coin and there are 2 possible outcomes, tossing a heads or tails, the probability of getting heads is 1/2.

Since there is only one way to roll 5 on a number cube, there

is 1 favorable outcome but six possible outcomes.

So the probability of rolling a 5 is 1/6.

Now multiply.

So we have 1/2 · 1/6 which is 1/12.

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be [tex](x_2,y_2)[/tex]

Coordinates of A =[tex](x_1,y_1)=(-6,5)[/tex]

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

[tex]x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}[/tex]

m:n=3:2

[tex]3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\[/tex]

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be [tex](x,y)[/tex]

Coordinates of A =[tex](x_1,y_1)=(-6,5)[/tex]

Coordinates of B=[tex](x_2,y_2)=(10,-4)[/tex]

We will use section formula over here

[tex]x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}[/tex]

m:n=3:2

[tex]x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4[/tex]

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Answer:

B is (10, -4), and D is (58/9, -2)

Step-by-step explanation:

Answer:

D) 900

Step-by-step explanation:

So I'm assuming the first part is jsut excess information

What we need to find is the sum fo the first 30 odd numbers -->

to simply calculate this, 1+3+5+7 ... +57+59, we can group the first and last numbers into pairs and so on. this gives us 60 as our first known number and 30/2= 15 pairs. -->

now we multiply 60x15 => 6x15 = 90 --> add 1 zero to the end and you get 900

Hope this helps!

there are 252 numbers the contain the digit 1

Answer:

The Radius of the base, r, and the altitude h

Step-by-step explanation:

Surface area of a right cone

[tex]a=\pi r\sqrt{h^{2}+r^{2} }[/tex]

R= Radius

H=Radius

Answer:

The radius of the base, r, and the slant height s.

Step-by-step explanation:

pf

Step-by-step explanation:

6/9 divide top and bottom by 3 to get 2/3

Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.

12/8 = 3/2  (divide by 4 top and bottom)

8/12 = 2/3  (divide by 4 top and bottom)  This is a solution

10/12 = 5/6 (divide by 2 top and bottom)

8/13 (cannot be reduced)

Therefore the second fraction (8/12) forms a proportion with 6/9.

Answer:

8/12

Step-by-step explanation:

divide through by 2 6/9 = 2/3

also,

divide through by 4

8/12 = 2/3

6/9 = 8/12

Answer:

A voltage of 760V will be produced by 19 windings.

Step-by-step explanation:

Given the equation:

E = 40W

Where E is the Voltage in the circuits

and W is the number of windings

Given that E = 760V

To find: W = ?

Solution: Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.

So, Putting the value of E in the given formula and finding W, the number of windings:

[tex]760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19[/tex]

So, number of windings for a voltage E = 760V is 19.

A voltage of 760V will be produced by 19 windings.

Answer: The correct answer is c.

Step-by-step explanation:

You take the area of the square which is 20x20 = 400.

There is 5 squares 400x5 = 2000

There is 4 triangles--which is 1/2 the area of 1 square (In this case).

One triangle = 200

200x4 = 800

2000 + 800 = 2800