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3 years ago

Help me pleaseeeeeeeeeeeee

Mathematics

2 answers:

Tanya [424]3 years ago

5 0

D Is You Answer! Vertical Asymptote

enyata [817]3 years ago

3 0

Your answer is D. Vertical Asymptote

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Are of quadrilateral

koban [17]

Answer:

Area of Quadrilateral = 289.57 sq.cm

Step-by-step explanation:

First of all, let us understand what is a Quadrilateral?

A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.

Given,

Length of sides :

AB = 7.5 cm

BC = 11.7 cm

CD = 15.6 cm

AD = 18 cm

and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.

It implies that the TRAINGLES BCD and BAD are Right angled triangles

So, the length of BD can be found using Pythagorean theorem

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

From the Triangle of BCD,

a= BC

b=CD and

c= BD

Therefore, The length of BD =

c= $\sqrt[2]{(11.7^{2})+(15.6 x^{2}) }$

c = $\sqrt{380.25}$

c = 19.5 cm

Hence, c= BD=19.5 cm

Now, Area of Quadrilateral =

1/2*(diagonal)*(sum of height of two triangles)

Here, Diagonal = Length of BD = 19.5 cm

Height (h1) = BC = 11.7 cm

Height ( h2) = AD = 18 cm

Therefore, Area = 1/2*19.5*(11.7+18)

= 289.57 sq.cm

Refer more about Area at below link:

https://brainly.in/question/2466686

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5 0

2 years ago

A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in we

Pavel [41]

Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

$\frac{dP}{dt} = 1.5P$

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the initial population and the population one week later, the rate of growth is given by:

k = 9/6 = 1.5.

The standard differential equation for population growth is:

$\frac{dP}{dt} = kP$

Hence:

$\frac{dP}{dt} = 1.5P$

More can be learned about proportions at brainly.com/question/24372153

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8 0

2 years ago

There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

Helga [31]

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill$

$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

7 0

2 years ago

ANGLE KLM and ANGLE RST are supplementary angles. If ANGLE KLM is (7x) and ANGLE RST is (36-x) what is the value of x ? Please h

liberstina [14]

Answer:

Step-by-step explanation:

Angle B measures 60°. What is the measure of the angle that is complementary to angle B?

30°

60°

120180°

4 0

2 years ago

I need help pls <br> What is angle 3

N76 [4]

Answer:

Step-by-step explanation:

4x + 6 + 3x + 21 = 8x + 7

7x + 27 = 8x + 7

-x + 27 = 7

-x = -20

x = 20

m<3= 8(20) + 7

160 + 7 = 167

m<1= 4(20) + 6 = 80 + 6 = 86

m<2= 3(20) + 21 = 60 + 21 = 81

3 0

3 years ago