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3 years ago

When is a parallelogram is a rhombus ?

2 answers:

3 0

A parallelogram is a rhombus when one of the following conditions is done:
1. All sides of the parallelogram are equal to each other.
2. The diagonals of the parallelogram intersect at a right angle (90°).
3. The diagonals of the parallelogram are the bisectors of its angles.

I hope this helps.

Shkiper50 [21]3 years ago

3 0

When all of its sides are the same length.

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PLEASE HELP NOBODY WILL HELP ME I WILL GIVE BRAINLIEST

d1i1m1o1n [39]

Answer:

See below

Step-by-step explanation:

Let the number of Payday be p and Baby Ruth be b

Then sub of the candy bars:

p + b = 220

Payday candy bars worth ⇒ $2p
Baby Ruth candy bars worth ⇒ $3b
Total ⇒ $600

1. Required equations:

p + b = 220
2p + 3b = 600

2. Solving by substitution:

p = 220 - b, consider it in the second equation

2(220 - b) + 3b = 600
660 - 2b + 3b = 600
660 + b = 600
b = 660 - 600
b = 60

60 Baby Ruth candy bars sold

4 0

2 years ago

5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?

rodikova [14]

Hello,

Using Thalès 's theorem:

Let's h the height of the monument.

$\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}$

If you don't know what is the Thalès's theorem,

imagine that the similar triangles.

5 0

2 years ago

Using the graph below, describe the acceleration, position, and force at each of the

STALIN [3.7K]

Answer:

Step-by-step explanation:

(1). 2 m / s²

(2). 0 m / s² { Change from the previous section is - 2 m / s² }

(3). - 8 m / s² { Change from the previous section is - 8 m / s² }

(4). - 1 m / s² { Change from the previous section is + 7 m / s² }

(5). 0 m / s² { Change from the previous section is + 1 m / s² }

4 0

2 years ago

If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Us

Alenkinab [10]

Answer: some parts of your question is missing below is the missing data

Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y

answer:

F is conservative

F = -6xe^y + ( 33 + 9 ) e^y + C

Step-by-step explanation:

The Potential functions for F so that F = ∇f.

F = -6xe^y + ( 33 + 9 ) e^y + C

attached below is a detailed solution

5 0

3 years ago

Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4?

Ray Of Light [21]

Answer:

x2=−8(y−2)

Step-by-step explanation:

Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.

Let P(x,y) be the moving point on the parabola with

focus at S(h,k)= S(0,0)

& directrix at y= 4

Now,

|PS| = √(x-h)2 + (y-k)2

|PS| = √(x-0)2 + (y-0)2

|PS| = √ x2 + y2

Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0

d= |ax +by + c|/ √a2 + b2
d= |y-4|/ √0 + 1
d= |y-4| units.

equation of parabola is:

|PS| = d
√ x2 + y2 = |y-4|

Squaring on both sides, we get:

x2 + y2 = (y-4)2
x2 + y2 = y2 -8y + 16
x2 = - 8y + 16
x2 = -8 ( y - 2)

This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.

8 0

3 years ago

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