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3 years ago

Help asap find the area of this trapazoid

Mathematics

2 answers:

Contact [7]3 years ago

8 0

Step-by-step explanation:

here you have the answers

Diano4ka-milaya [45]3 years ago

6 0

Answer:

$A=12$

Step-by-step explanation:

The formula to find the area of a trapezoid is,

$A=(\frac{b_1+b_2}{2})(h)$

Where ( $b_1$ ) and ( $b_2$ ) represent the two bases of the trapezoid, and ( $h$ ) represents the hieght of the figure. As one can see on the coordinate plane,

$b_1=2\\\\b_2=4\\\\h=4$

Substitute in the given values, and solve,

$A = (\frac{b_1+b_2}{2})(h)\\\\A = (\frac{2+4}{2})(4)\\\\A = (\frac{6}{2})(4)\\\\A = (3)(4)\\\\A = 12$

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Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

8 0

3 years ago

Please help me<br>simplify<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B32%20-%20%20%5Csqrt%7B50%7D%20%7D%20" id="TexFormul

Mnenie [13.5K]

Answer:

$\sqrt{32-5\sqrt{2} }$

Step-by-step explanation: I hope it helps :)

$\sqrt{32-\sqrt{50} } \\\\simplify \: \sqrt{50} \:to \:5\sqrt{2} \\\\= \sqrt{32-5\sqrt{2} } \\\\Decimal Form: 4.992888$

5 0

3 years ago

The inequality below represents h, the number of hours Ellie need to work this week to earn at least $360 by the end of the mont

Gnom [1K]

Answer:

The answer to your question is 10 hours.

Step-by-step explanation:

Inequality 12h + 240 > 360

Solve the inequality as if it was an equation

12h > 360 - 240

12h > 120

h > 120 / 12

h = 10 hours

Let's evaluate some number of hours

If h = 3 12(3) + 240 > 360

36 + 240 > 360

276 > 360 Incorrect, she needs to work more

than 3 hours

If h = 5 12(5) + 240 > 360

60 + 240 > 360

300 > 360 Incorrect, she needs to work more

than 5 hours

If h = 7 12(7) + 240 > 360

84 + 240 > 360

324 > 360 Incorrect she needs to work more

than 7 hours

If h = 11 12(11) + 240 > 360

132 + 240 > 360

372 > 360 Correct, she needs to work at least

10 hours.

7 0

3 years ago

You are debating whether to buy a new computer for $1,360.00 with a discount of

olasank [31]

Answer:

$167.03

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

To make the chocolate shake, Dona added 40 mL of chocolate syrup,

Vsevolod [243]

Answer:

0.225 L of milk, would be required if she uses 450 m L of water.

Step-by-step explanation:

Here, to make the shake, ingredients used by Dina are:

40 m L of chocolate syrup,

200 m L of milk, and 400 m L of water.

So, here Amount of water used = 2 x ( Amount of Milk used) ....... (1)

Now,again the amount of water used by Dona = 450 m L

Let us assume the milk used by her = k m L

⇒ 450 m L = 2 x ( k m L) ( from (1))

or, 450 = 2 k

⇒ k = 450/2 = 225

⇒ k = 225 m L

Also, 1 m L = 0.001 L

So, 225 m L = 225 x 0.001 = 0.225 L

⇒ k = 0.225 L

Hence, 0.225 L of milk, would be required if she uses 450 m L of water.

5 0

4 years ago