What expression can be used for estimating 868 divided by 28

Answers

Answer 1

Answer: round 28 to nearest ten and 868 to nearest hundred
900 ÷ 30 = 30

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Convert z = 9cos200° + 9isin200° from polar form to rectangular form.-8.46 - 3.08i
-2.09 – 6.84i
8.46 + 3.08i
2.09 + 6.84i

Answers

Answer:

z = -8.46 - 3.08i.

Step-by-step explanation:

cos 200 = -0.93969 so 9 * cos 200 = -8.46 to the nearest hundredth.

sin 200 = -0.3420 so 9 * sin 200 = -3.08 to nearest hundredth.

Please help asap For the graph shown, select the statement that best represents the given system of equations.
algebra unit 8 lesson 1 assessment question 4
2y – 3x = 9
4y + 3x = 12

A.
coincident

B.
not enough information

C.
inconsistent

D.
consistent and independent

Answers

Answer: D. consistent and independent

Step-by-step explanation:

The given system is $2y-3x=9\n4y+3x=12$

When we compare the coefficients of the corresponding variables of both the equations we get,

For y, $(2)/(4)=(1)/(2)$

For x, $(-3)/(3)=-1$

And $(1)/(2)\neq-1$ ,

⇒ The system in independent.

Therefore the system has one unique solution.

Since, if a system has a unique solution then the system is consistent .

Therefore, the system is consistent and independent.

The equtaion has only one solution because they cut each other only once and the are independent ..as both line are different. So it would be (d) consistent and independent

What is 5 thousand + 7 thousand in standard form

Answers

5000 + 7000 = 12000

5 x 10^4 + 7 x 10^4 = 12 x 10^4

Standard: 5,000 + 7,000 = 12,000
/ \ \
5 thousand + 7 thousand = 12 thousand.

The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. What is the BEST estimate for the volume of the shape that resembles a cylinder? A) 0.26 cubic inches B) 0.52 cubic inches C) 0.79 cubic inches D) 2.66 cubic inches

Answers

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of ice cream cone = 6 inch

Diameter of cone = 2 inches

Radius of cone is given by

$(2)/(2)=1\ in.$

But according to question, it is cut 0.25 inches from the base and this cut into cylinder and cone.

Since it was cut so close to the base.

So, Height of the cylinder = 0.25 inches

As we know the formula for "Volume of cylinder ":

$Volume=\pi r^2h\n\nVolume=(22)/(7)* 1* 1* 0.25\n\nVolume=0.785\ in^3\n\nVolume=0.79\ in^3$

Hence, Option 'C' is correct.

What fraction of a pound is seventy pence?

Answers

100 pence = 1 pound
70 pence = 70/100
= 7/10 pound

The square root of 6x-38 = x-5Solve for x

(first correct answer gets brainliest)
(it is the square root of both 6x and 38)

Answers

Answer:

The solution set is = {7, 9}.

Step-by-step explanation:

√(6x - 38) = x - 5

Square both sides:

6x - 38 = (x - 5)^2

x^2 - 10x + 25 - 6x + 38 = 0

x^2 - 16x + 63 = 0

(x - 7)(x - 9) = 0

x = 7, 9.

Check these solutions:

x = 7:

√(6x - 38) = √(42-38) = 2 and 7 - 5 = 2 so this is correct.

x = 9

√(6x - 38) = √(54 - 38) = √16 = 4 and 9 - 5 = 4 so 9 is also correct.

Answer:

{7, 9}

I hope this helps you!!

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What is the answer to. Work out 5-10/-5