All categories

3 years ago

Please help as I can’t figure this out :(

Mathematics

1 answer:

nadya68 [22]3 years ago

4 0

Arc DE is equal to the total number of degrees (360) minus the other arc lengths.
Therefore the measure of DE = 360 - (40+30+20+90+110) = 70.

You might be interested in

Suppose that you currently own a clothes dryer that costs $35 per month to operate. A new efficient dryer costs $750 and has an

Gekata [30.6K]

Answer:

Step-by-step explanation:

Idk

8 0

3 years ago

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

2 years ago

Please help I have no idea how to do this!

Alexus [3.1K]

Answer:

D. <B = 141°

Step-by-step explanation:

The <u>sum of interior angles</u> of a polygon is

(n-2)*180, where n is the number of sides!

Sum of angles for our polygon that has 7 sides must be:

(7-2) *180 = 5*180 = 900

Sum of angles that are in the picture are:

120+129+130+142+90+148+ <B = 759 + <B

<B = 900 -759 = 141°

Check our work:

120°+129°+130°+142°+90°+148°+ 141° = 900°✅

7 0

2 years ago

Find the taylor polynomial t3(x) for the function f centered at the number

Vlad [161]

$e^{-3x}=\displaystyle\sum_{n=0}^\infty\frac{(-3x)^n}{n!}=1-3x+9x^2+\cdots$
$\sin2x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^n(2x)^{2n+1}}{(2n+1)!}=2x-\dfrac{4x^3}3+\cdots$

$e^{-3x}\sin2x=\left(1-3x+9x^2+\cdots\right)\left(2x-\dfrac{4x^3}3+\cdots\right)$
$\approx T_3(x)=(1-3x+9x^2)\left(2x-\dfrac{4x^3}3\right)$
$T_3(x)=2x-6x^2+\left(18-\dfrac43\right)x^3$
$T_3(x)=2x-6x^2+\dfrac{50}3x^3$

5 0

2 years ago

There are 18 pieces of chalk. The ratio if chalk that is yellow to chalk that is not yellow is 1:2. How many more pieces of whit

katen-ka-za [31]

The amount of chalk are equal

5 0

3 years ago