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3 years ago

Convert 35 mi/h to km/h

1 answer:

3 0

<span>Convert 35 mi/h to km/h

</span> $35 \dfrac{mi}{h}\to \dfrac{km}{h}\qquad \qquad 1 mi= 1,60934 \\ \\ \\ 35 \dfrac{mi}{h}* \dfrac{1,60934\ km}{1\ mi}= \boxed{ 56,3269\dfrac{km}{h} }$ <span>
</span>

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please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me

mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH= $\sqrt{(5-0)^{2}+(1-1)^{2}}=5$ and

GI= $\sqrt{(4-1)^{2}+(3+1)^{2}}=5$

Now, mid point of JH= $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

= $(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)$

Mid point of GI= $(\frac{5}{2},1)$

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

$(GI)^{2}=(IJ)^{2}+(JG)^{2}$ (1)

Now, JI= $\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20}$ and GJ= $\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}$

Substituting these values in (1), we get

$5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }$

$25=20+5$

$25=25$

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI= $\sqrt{(4-1)^{2}+(3+1)^{2}}=5$ and HJ= $\sqrt{(0-5)^2+(1-1)^2}=5$ are equal, thus, GHIJ is a rectangle.

6 0

3 years ago

Which value of x make the open sentence true? 2x – 3 = 15

Ksju [112]

2x - 3 = 15
2x = 15 + 3 = 18
x = 18/2 = 9

Therefore, the equired value of x is 9.

8 0

3 years ago

Which function has zeros at x = 10 and x = 2? f(x) = x2 – 12x + 20 f(x) = x2 – 20x + 12 f(x) = 5x2 + 40x + 60 f(x) = 5x2 + 60x +

Allushta [10]

Answer:

x^2 -12x+20

Step-by-step explanation:

If the zeros of the functions are at 10 and 2

(x-10) (x-2)

FOIL

x^2 -2x-10x+20

Combine like terms

x^2 -12x+20

3 0

3 years ago

Read 2 more answers

What is the distance around a triangle that has sides measuring 2 1/8 ft 3 1/2 ft and 2 and 1/2 ft

IceJOKER [234]

Check the picture below.

so first off, let's convert the mixed fractions to "improper fractions", and then sum them up.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}
\\\\\\
\stackrel{mixed}{2\frac{1}{8}}\implies \cfrac{2\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{17}{8}}
\\\\\\
\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\
-------------------------------$

$\bf \cfrac{7}{2}+\cfrac{17}{8}+\cfrac{5}{2}\impliedby \textit{using the LCD of 8}\implies \cfrac{(4\cdot 7)+(1\cdot 17)+(4\cdot 5)}{8}
\\\\\\
\cfrac{28+17+20}{8}\implies \cfrac{65}{8}\implies 8\frac{1}{8}$

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3 years ago

The formula below gives D, the demand for concert tickets when the price of each ticket is P dollars.

Georgia [21]

D(15)=1715
D(15)=2000-4(15)-15^2
You do this because p=15 and you know this because 15 is inside the parentheses by d (D(p))

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3 years ago