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Digiron [165]
2 years ago
11

Choose the correct graph of the following condition. {(x, y) : x = 4) o [(x,y): y = 4)

Mathematics
1 answer:
Studentka2010 [4]2 years ago
7 0

Answer:

There is no solution

Step-by-step explanation:

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Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment.What fraction of her allowance did she spend on other items
Stella [2.4K]
You need to create common denominators and then add and then subtract to get 22/48
7 0
3 years ago
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Given: ABCD parallelogram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Troyanec [42]

Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°

Step-by-step explanation: Please refer to the attached diagram for further details.

The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.

Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).

Hence, using the trigonometric ratios,

Cos A = adjacent/hypotenuse

Cos A = 3/6

Cos A = 0.5

Checking with the calculator, (that is second function of Cos 0.5)

A = 60

The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).

Similarly, angle B is equal to angle D. However, angles in a quadrilateral equals 360 degrees.

Therefore, angles in parallelogram ABCD is derived as;

A + B + C + D = 360

60 + B + 60 + D = 360

120 + B + D = 360

Subtract 120 from both sides of the equation

B + D = 240

Having known that angle B equals angle D, angles B and D is derived as each half of the value 240

Angle B = 240/2

Angle B = 120

and angle D = 120

Therefore, the angles are;

A = 60, B = 120, C = 60, D = 120

3 0
3 years ago
Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int
navik [9.2K]

Answer: 28\ cubes

Step-by-step explanation:

The volume of a cube can be found with this formula:

V_{(c)}=s^3

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

V_{rp}=lwh

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3

To find the volume of the shipping box, first we must convert the mixed number to  an improper fraction:

1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}

Then the volume of the shipping box is:

V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3

Now, in order to find the  number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28

6 0
3 years ago
X + 8y = 18 and — 5x + 3y = -4
atroni [7]
X+8y=18
-5x+3y=-4

Multiply the first equation by 5
Add the two equations together

5x+40y=90
-5x+3y=-4
43y=86
Y=2

Plug y into one equation to find x
X+16=18
X=2
5 0
3 years ago
Read 2 more answers
Please help!! Needed ASAP!!
yarga [219]

Answer and Explanation:

If, on the other hand, the graph "flexes" or "flattens out" to some degree when it goes to cross the axis, then the zero is of a higher multiplicity; that is, it'll be of multiplicity three, five, or higher.

When a graph doesn't start at 0, it means that the graphs before it is not shown.

For number 4, I'd suggest Graph 3.

For number 3, I'd suggest graph 1.

For number 5, Write something along the lines of "Graph 2 does not show the car stopping slowly, it stops suddenly. Then it starts going really fast and stops suddenly again."

I hoped this helped.

3 0
3 years ago
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