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3 years ago

the area of a rectangular floor is 135meter square where one side is 1.5 meter calculate the dimension of the floor

Mathematics

1 answer:

almond37 [142]3 years ago

5 0

Answer:

1.5 m by 90 m

Step-by-step explanation:

Recall that the formula for the area of a rectangle is A = L * W.

Here, the area is given: A = 135 m^2, and this area is the product of the length and width of the rectangle: 135 m^2 = (1.5 m)(W), where W is the side of unknown length.

Solving for W: W = (135 m^2) / (1.5 m) = 90 m

Thus, the dimensions of the floor are 90 m by 1.5 m.

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Find the volume of the triangular prism shown in the diagram. The unlabeled point is F (0,0,1) . Outline your steps to explain t

tatiyna

Volume = (LWH)/2
Length = Difference between the two x values
Using A (4, 3, 1) an B (0, 3, 1) we can use these two x values to find the length of the triangular prism
4 - 0 = 4
Length = 4
Width = This is exactly the same process, however we use the y values
Using E (4, 0, 1) and A (4, 3, 1) we can use the two y values to find the width
3 - 0 = 3
Width = 3
Height = Again, the same but using the z values
Using E (4, 0, 1) and D (4, 0, 5) we can find the difference
5 - 1 = 4
Height = 4

Now we have all out values, we can put them in the formula to work out the volume.
(4 x 3 x 4)/2
48/2
24 (units)³

7 0

2 years ago

6. If sin = 0.8829, then the approximate measure of between 0° to 360° is _______

lesya692 [45]

Answer: B

Explanation:

From the information given,

Sinθ = 0.8829

θ = Sin^-1(0.8829)

θ = 62

We would consider the quadrants where sine is positive.

θ = 62 is in the first quadrant

Sine is also positive in the second quadrant. Thus,

θ = 180 - 62

θ = 118

The correct option is B

6 0

6 months ago

5 & 2/8 - 3 &7/8 = ?

miv72 [106K]

Answer:

11/8 or 1 & 3/8

Step-by-step explanation:

5 & 2/8=21/4

3&7/8=31/8

21/4-31/8=11/8 or 1 & 3/8

4 0

2 years ago

Read 2 more answers

A teacher bought 12 packets of crayons. Seven of the packets had 9 crayons. How many crayons did the teacher buy in all?

zubka84 [21]

The answer is 113!Give me a crown if I was right:/

3 0

3 years ago

The factors of x cube -10x square -53x-42

Verdich [7]

Answer:

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)$

Step-by-step explanation:

$x^3 - 10x^2 -53x - 42$

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

Using trial and error method we will find the first root of the polynomial.

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

1 - 10 - 53 - 42 ≠ 0

Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

- 1 - 10 + 53 - 42

53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

Now by long division or by using synthetic division we can find other factors.

Synthetic Division :

-1 | 1 -10 -53 - 42

| 0 - 1 11 42

|______________________

1 - 11 - 42 0

Therefore ,

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)$ ------ ( 1 )

Next further factorize x² - 11x - 42

x² - 11x - 42

= x² - 14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)$

4 0

2 years ago