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3 years ago

Find the area of the parallelogram.

Mathematics

2 answers:

Nadya [2.5K]3 years ago

6 0

It’s d cuz it has 14 of them

aliina [53]3 years ago

3 0

B 24 square units your welcome

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Three farmers buy a total of 2,249 acres of land at an auction, Farmer Mel buys land that is 3 times as many acres as Farmer Cas

fgiga [73]

Answer:

Farmer Anne's land = 173 acres

Farmer Cassius = 519 acres

Farmer Mel = 1,557 acres

Step-by-step explanation:

Total acre = 2,249

Let

Farmer Anne's land = x

Farmer Cassius = 3x

Farmer Mel = 3(3x) = 9x

x + 3x + 9x = 2,249

13x = 2,249

x = 173

Farmer Anne's land = x = 173 acres

Farmer Cassius = 3x

= 3(173)

= 519 acres

Farmer Mel = 3(3x) = 9x

= 9(173)

= 1,557 acres

Therefore,

Farmer Anne's land = 173 acres

Farmer Cassius = 519 acres

Farmer Mel = 1,557 acres

8 0

2 years ago

It x, y, and z are positive intergers and 3x = 4y = 7z, then the least possible value of x + y + z is???

Dmitry [639]

$3x = 4y = 7z \\ \Rightarrow \begin{cases}3x - 4y = 0 \\4y - 7z = 0 \\ 7z - 3x = 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 3( \frac{4}{3}y) = 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 4y= 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\ y \\ z = \frac{4}{7}y \end{cases} \\ x,y,z\: are\: intergers\Rightarrow y=LCM(3,7)=21\Rightarrow x = 28,z = 12 \\ \Rightarrow x + y + z = 61$

5 0

2 years ago

Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

7 0

2 years ago

Please help!!! Will mark BRAINLIEST!!!!

Bond [772]

In an equilateral triangle, the measure of each angle is 60 degrees. Then the value of x and y is 17/3 and 65.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In trianlge ΔMNP, PM = 3x - 4, MN = 14, ∠N = 5y - 5.

In an equilateral triangle, all the sides and all the angles are equal.

MN = NP = PM

∠M = ∠N = ∠P

Then we have

PM = MN

3x - 4 = 14

x = 17/3

We know in an equilateral triangle, the measure of each angle is 60 degrees. Then we have

∠N = 60

5y - 5 = 60

5y = 65

y = 13

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

6 0

1 year ago

Which is the value of x in the equation?<br> 4(x-3) = 40

mario62 [17]

Answer:14

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers