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kkurt [141]
3 years ago
15

Please help I'm a little confused!

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

I will have "x" represent the unknown number, or you could use a "?", doesn't matter.

8\leq \frac{x}{-4}     [8 is less than or equal to (≤) the quotient (÷) of a number and -4, so the number is being divided by -4]

If you need to solve this, you need to isolate/get the variable "x" by itself in the inequality:

8\leq \frac{x}{-4}   Multiply -4 on both sides to get rid of the fraction and get "x" by itself

(-4)8\geq \frac{x}{-4} (-4)    When you multiply/divide by a negative number, you flip the sign (< >)

-32 ≥ x          [-32 is greater than or equal to x, or x is less than or equal to -32]

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Not good at this need some help
emmasim [6.3K]

Answer:

216 sq. units

Step-by-step explanation:

From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.

Formula to find the area of a kite:

Area, A = $ \frac{1}{2} \times d_1 \times d_2 $

where, $ d_1 $ and $ d_2 $ are the lengths of the diagonals.

Here, $d_1 = 18 $ units.

And, $ d_2 = 24 $ units.

Therefore, the area A = $ \frac{1}{2} \times 18 \times 24 $

= $ \frac{432}{2} $

= 216 sq. units which is the required answer.

6 0
3 years ago
Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for
lisabon 2012 [21]
Maria do 1/2 work in 1 hour
Sasha do 1/3 work in 1 hour

Thus,
1/2+1/3=5/6 work in 1 hour
5/6 work in = 1 hour
1 work in =6/5=1.2 hours =72 minutes
3 0
3 years ago
Write as a single fraction in its simplest form.
yaroslaw [1]

\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}

5 0
2 years ago
Depth: 1.8 m Width: 2.5 m Height: 2 m What is the cuboid's volume?
8090 [49]

Answer:

9 m³

Step-by-step explanation:

The formula for calculating the volume (V) of a cuboid is

V = depth × width × height

  = 1.8 × 2.5 × 2 = 9 m³


5 0
3 years ago
Read 2 more answers
Drag each tile to the correct box. Vector t, with a magnitude of 4 meters/second and a direction angle of 60°, represents a swim
astraxan [27]

Answer:

From top to bottom, the boxes shown are number 3, 5, 6, 2, 4, 1 when put in ascending order.

Step-by-step explanation:

It is convenient to let a calculator or spreadsheet tell you the magnitude of the sum. For a problem such as this, it is even more convenient to let the calculator give you all the answers at once.

The TI-84 image shows the calculation for a list of vectors being added to 4∠60°. The magnitudes of the sums (rounded to 2 decimal places—enough accuracy to put them in order) are ...

... ║4∠60° + 3∠120°║≈6.08

... ║4∠60° + 4.5∠135°║≈6.75

... ║4∠60° + 4∠45°║≈7.93

... ║4∠60° + 6∠210°║≈3.23

... ║4∠60° + 5∠330°║≈6.40

... ║4∠60° + 7∠240°║≈ 3

_____

In the calculator working, the variable D has the value π/180. It converts degrees to radians so the calculation will work properly. The abs( ) function gives the magnitude of a complex number.

On this calculator, it is convenient to treat vectors as complex numbers. Other calculators can deal with vectors directly

_____

<em>Doing it by hand</em>

Perhaps the most straigtforward way to add vectors is to convert them to a representation in rectangular coordinates. For some magnitude M and angle A, the rectangular coordinates are (M·cos(A), M·sin(A)). For this problem, you would convert each of the vectors in the boxes to rectangular coordinates, and add the rectangular coordinates of vector t.

For example, the first vector would be ...

3∠120° ⇒(3·cos(120°), 3·sin(120°)) ≈ (-1.500, 2.598)

Adding this to 4∠60° ⇒ (4·cos(60°), 4°sin(60°)) ≈ (2.000, 3.464) gives

... 3∠120° + 4∠60° ≈ (0.5, 6.062)

The magnitude of this is given by the Pythagorean theorem:

... M = √(0.5² +6.062²) ≈ 6.08

___

<em>Using the law of cosines</em>

The law of cosines can also be used to find the magnitude of the sum. When using this method, it is often helpful to draw a diagram to help you find the angle between the vectors.

When 3∠120° is added to the end of 4∠60°, the angle between them is 120°. Then the law of cosines tells you the magnitude of the sum is ...

... M² = 4² + 3² -2·4·3·cos(120°) = 25-24·cos(120°) = 37

... M = √37 ≈ 6.08 . . . . as in the other calculations.

4 0
3 years ago
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