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3 years ago

Find the area pls pls pls

Mathematics

1 answer:

BaLLatris [955]3 years ago

3 0

First spilt the shape into two smaller shapes to get a rectangle and a parallelogram use the area of a rectangle formula to get an area of 15 units for the rectangle and the use the parallelogram formula to get 15 units the. Add the area of both shapes to get 30 units

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What will be the value of

madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

$\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}$

Then you want to know the value of

$\displaystyle\lim_{n\to\infty}a_n$

if it exists.

To show the limit exists and that $a_n$ converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that $a_1=\sqrt{42}\le\sqrt{49}=7$ . Suppose $a_k\le 7$ . Then $a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7$ . So by induction, $a_n$ is bounded above by 7 for all $n$ .

Monontonicity: We have $a_1=\sqrt{42}$ and $a_2=\sqrt{42+\sqrt{42}}$ . It should be quite clear that $a_2>a_1$ . Suppose $a_k>a_{k-1}$ . Then $a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k$ . So by induction, $a_n$ is monotonically increasing.

Then because $a_n$ is bounded above and strictly increasing, the limit exists. Call it $L$ . Now,

$\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}a_{n-1}=L$

$\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}\sqrt{42+a_{n-1}}=\sqrt{42+\lim_{n\to\infty}a_{n-1}}$

$\implies L=\sqrt{42+L}$

Solve for $L$ :

$L^2=42+L\implies L^2-L-42=(L-7)(L+6)=0\implies L=7$

We omit $L=-6$ because our analysis above showed that $L$ must be positive.

So the value of the infinitely nested radical is 7.

4 0

3 years ago

I'm having a hard time with this.

WITCHER [35]

Answer:

gghhuuuuuuuuuuuuuuuuuuuuuu

Step-by-step explanation:

hhhhhjjjjjjjjjjjjjjjjjjuhj

5 0

3 years ago

Find the component form of the vector that represents the velocity of an airplane at the instant its wheels leave the ground, if

vekshin1

Answer:

The component form of the vector that represents the velocity of the airplane is $(74.1 i , \ 11.73j)\ mph$

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

$V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph$

The horizontal component of the velocity is given by;

$V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph$

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

$(V_x , \ V_y) = (74.1 , \ 11.73)\ mph$

3 0

3 years ago

Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is know

Reika [66]

Answer:

16% of the individuals from this population will have LDL levels are 1 or more standard deviations above the mean.

Step-by-step explanation:

The 68-95-99.7 rule states that:

68% of the measures of a normally distributed sample are within 1 standard deviation of the mean. 34% of them above, 34% of them below.

What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?

Of the 50% of the measures that are above the mean, 34% are within 1 standard deviation. So 50-34 = 16% are 1 or more standard deviations above the mean.

3 0

4 years ago

I’ll mark as BRANLIEST!!!

Alja [10]

Answer:

$68,656,500 im so sorry if im wrong

4 0

3 years ago