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2 years ago

The parallelogram shown below has an area of 20 units squared. Find the missing base

Mathematics

2 answers:

kap26 [50]2 years ago

8 0

Answer:

5 units

Step-by-step explanation:

The area of a parallelogram formula is $A=bh$ .

The b stands for base which is what we are trying to find and h is the height which is 4 units.

So an easy way of finding the base is to divide 20 by 4 and we get 5 units.

So the base is 5 units.

valkas [14]2 years ago

5 0

Answer: 5 units

Step-by-step explanation:

The area of a parallelogram is $A=bh$ . SInce we know the area and the height, we can directly plug the values into this equation and solve for the base.

20=b(4) [divide both sides by 4]

b=5 units

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2 years ago

Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).

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2 years ago

Working 6 days, a worker earned<br> 150000 LL<br> a) How much will he earn by working 21<br> days?

Mila [183]

Answer:

525,000 LL

Step-by-step explanation:

6 x 3 = 18 (days)

150,000 x 3 = 450,000

21 - 18 = 3 so 6 * 2 = 3 ( 150,000 *(divide) 2 = 75,000)

so 450,000 + 75,000 = 525,000

7 0

3 years ago

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Aliun [14]

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2 years ago

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liubo4ka [24]

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