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3 years ago

Round 2769.44 to the nearest tenths place

1 answer:

4 0

It would be 2769.44 still since it would technically be 2769.440 if you were rounding to the TENTHS place. The Zero(0) doesn't change anything so the answer is

2769.44

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Joe, working alone, takes 8 hours to mow a lawn. Sally, working alone, can mow the same lawn in 6 hours. How long does it take t

tamaranim1 [39]

Answer: 3 3/7 hours

Step-by-step explanation:

you need to find out how much work they can do in an hour.

let x represent the total collaborative work

1/8 + 1/6 = 1/x

3/24 + 4/24 = 1/x

7x = 24

x = 24/7 or 3 3/7 hours (in decimal form this is 3.4286)

I cannot guarantee this is correct but hope it helped

6 0

3 years ago

The price of an item has risen to $169 today. Yesterday it was $130. Find the percentage increase.

mamaluj [8]

Answer:30%

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

A metal strip is being installed around a workbench that is 8 feet long and 3 feet wide. If the stripping costs $6 per foot, fin

Reil [10]

I believe the answer is $144
Because you first have to multiple 8ft*3 ft=24ft then you have to multiply 24ft times $6=$144

5 0

3 years ago

What is 3/8x + 15/2=18

mart [117]

Let's solve for x --

Isn't it always a little easier to solve a math problem with starting by rewriting the equation?

3/8x + 15/2 = 8

Step 1) Subtract 15/2 from both sides

3/8x + 15/2 - 15/2 = 8 - 15/2

3/8x = 1/2

Step 2) Multiply both sides by 8/3

(8/3) × (3/8x) = (8/3) × (1/2)

x = 4/3

FINAL ANSWER -

x = 4/3

↑ ↑ ↑ Hope this helps! :D

3 0

3 years ago

Verify that the points are the vertices of a parallelogram and find its area. (2,-1,1), (5, 1,4), (0,1,1), (3,3,4)

Gelneren [198K]

Answer:

Area = 13.15 square units

Step-by-step explanation:

Let the given vertices be represented as follows:

A(2, -1, 1) = 2i - j + k

B(5, 1, 4) = 5i + j + 4k

C(0, 1, 1) = 0i + j + k

D(3, 3, 4) = 3i + 3j + 4k

(i) Let's calculate the vectors of all the sides:

$\\$ AB = B - A = (5i + j + 4k) - (2i - j + k)

AB = 5i + j + 4k - 2i + j - k [Collect like terms]

AB = 3i + 2j + 3k

BC = C - B = (0i + j + k) - (5i + j + 4k)

BC = 0i + j + k - 5i - j - 4k [Collect like terms]

BC = -5i + 0j - 3k

CD = D - C = (3i + 3j + 4k) - (0i + j + k)

CD = 3i + 3j + 4k - 0i - j - k [Collect like terms]

CD = 3i + 2j + 3k

DA = A - D = (2i - j + k) - (3i + 3j + 4k)

DA = 2i - j + k - 3i - 3j - 4k [Collect like terms]

DA = -i - 4j - 3k

AC = C - A = (0i + j + k) - (2i - j + k)

AC = 0i + j + k - 2i + j - k [Collect like terms]

AC = -2i + 2j

BD = D - B = (3i + 3j + 4k) - (5i + j + 4k)

BD = 3i + 3j + 4k - 5i - j - 4k [Collect like terms]

BD = -2i + 2j

(ii) From the results in (i) above, we can deduce that;

AB = CD This implies that AB || CD [AB is parallel to CD]

AC = BD This implies that AC || BD [AC is parallel to BD]

(iii) Therefore, ABDC is a parallelogram since opposite sides (AB and CD) are parallel. Hence, the points are vertices of a parallelogram

Now let's calculate the area

To find the area of the parallelogram, we find the magnitude of the cross product of any two adjacent sides.

In this case, we'll choose AB and AC

Area = |AB X AC|

Where;

$AB X AC = \left[\begin{array}{ccc}i&j&k\\3&2&3\\-2&2&0\end{array}\right]$

AB X AC = i(0 - 6) - j(0 + 6) + k(6 + 4)

AB X AC = - 6i - 6j + 10k

|AB X AC| = $\sqrt{(-6)^2 + (-6)^2 + (10)^2}$

|AB X AC| = $\sqrt{172}$

|AB X AC| = 13.15

Area = 13.15 square units.

PS: ACBD is also a parallelogram. The diagram has also been attached to this response.

6 0

3 years ago