All categories

3 years ago

the diagonals of a parallelogram are 2.3 cm and 3.2 cm long. can you tell if the parallelogram is a rhombus

Mathematics

2 answers:

pentagon [3]3 years ago

8 0

If it's a rhombus, then the diagonals are equal.

Alex Ar [27]3 years ago

8 0

I wish I knew mathematics better lol<span />

You might be interested in

What is the formula for the nth term of the given sequence 100, 20, 4, …

Naily [24]

Answer:

$a_n=100 \left(\dfrac15\right)^{n-1}$

Step-by-step explanation:

General equation of geometric sequence: $a_n=ar^{n-1}$

Given:

a₁ = 100
a₂ = 20
a₃ = 4

$\implies a_1=a=100$

$\implies a_2=100 \cdot r=20$

$\implies a_3=100 \cdot r^2=4$

Common ratio:

$r=\dfrac{a_3}{a_2}=\dfrac{4}{20}=\dfrac15$

Therefore:

$a_n=100 \left(\dfrac15\right)^{n-1}$

6 0

2 years ago

Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6

horsena [70]

Answer:

$x^{4} -18x^{3}+104x^{2} -172x-100$

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:

$\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))( x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\$

7 0

3 years ago

What is the square root of 67

Inessa [10]

Every positive number has two square roots.

The square roots of 67 are 8.185... (rounded) and -8.185... (rounded) .

Both are irrational numbers, so they can't be completely written down
with digits. No matter how many decimal places I write, it can never be
enough, because these decimals go on forever and never end.

3 0

3 years ago

Read 2 more answers

Work out the area of the triangle :)<br><br> Show working out plz:)

Snowcat [4.5K]

The formula for triangle area is b•h/ 1/2. so you would do 12•5=60. then divide that by 2 to get 30

7 0

3 years ago

Can you help me plz help me I need your help plz help me I need your help plz help me I’m begging you plz help me it’s an emerge

Murljashka [212]

Answer: Her answer is wrong because she divided incorrectly. Correct answer: 2

Step-by-step explanation: