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pentagon [3]
2 years ago
15

Can I get help please?

Mathematics
1 answer:
Annette [7]2 years ago
6 0

Answer:

x = 1/4, y = 1/2

Step-by-step explanation:

First we can solve for y in each equation.

3x - 1/4 = y

y = 1/2(x) + 3/8

This means 3x - 1/4 = 1/2(x) + 3/8.

Simplifying, we get 5/2(x) = 5/8. This means x = 1/4. Now, we plug in x = 1/4 into the first equation to get

3(1/4) - 1/4 = y

3/4 - 1/4 = y

y = 2/4 = 1/2

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anastassius [24]

what variable are we to find?

8 0
3 years ago
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an ang
olchik [2.2K]

Answer:

the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min

Step-by-step explanation:

A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing 3 minutes later?

speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time

mathematically,

\frac{Δd₁}{Δt₁} = Δs₁

= 14 km/min = \frac{Δd}{Δt}

and will are to find the speed after passes the radar

=Δs₂  km/min = \frac{Δd₂}{Δt₂}

to find d₁ and d₂ with respect to angle 45 degree at 4km

sin 45 = opp/hyp = 4/d₁

d₁ = 4/sin45 = 5.66km

tan 45 == opp/adj = 4/d₂

d₂ =4/tan45 =  4km

for three minute increment,

=3 x d₁ x Δs₁ = 3 x d₂ Δs₂

= 3x5.66x14 = 3x 4 xΔs₂

= 237.72 = 12Δs₂

=Δs₂ = 19.81km/min

7 0
3 years ago
jeff's trip will cost 9$ if he has 2 attendees at the conference.If there are 18 attendees,how much will the trip cost jeff​
antoniya [11.8K]

Answer:

$81

Step-by-step explanation:

9/2 = 4.5

4.5 x 18 = 81

5 0
4 years ago
It's super easy!!<br><img src="https://tex.z-dn.net/?f=%20%5Ccos%20%5Ctheta%20%5C%3A%20%20%2B%20%20%5Ctan%20%5Ctheta%20%3D%20" i
valina [46]

Answer:

\frac{cos^{2} \theta + sin\theta}{cos\theta}

Step-by-step explanation:

Solving :

  • cos\theta + tan\theta
  • cos\theta + \frac{sin\theta}{cos\theta}
  • \frac{cos^{2} \theta + sin\theta}{cos\theta}
4 0
2 years ago
ol McDonald would like to build a pin for his favorite pig horse and cow he needs to enclose a rectangular plot of land into thr
garri49 [273]

The area of the pen is the products of its dimensions

  • The dimension of the pen is 300 by 120 feet
  • The maximum area of the pen is 36000 square feet.

Let the dimension of the fence be x by y.

So, we have:

<em />\mathbf{2x + 5y = 1200}<em> --- perimeter</em>

<em />\mathbf{Area =xy}<em> -- area</em>

<em />

Subtract 5y from both sides of \mathbf{2x + 5y = 1200}

\mathbf{2x = 1200 - 5y}

Divide both sides by 2

\mathbf{x = \frac{1200 - 5y}{2}}

Substitute \mathbf{x = \frac{1200 - 5y}{2}} in \mathbf{Area =xy}

\mathbf{Area = \frac{1200 - 5y}{2} \times y}

\mathbf{Area = \frac{1200y - 5y^2}{2}}

Split

\mathbf{Area = 600y - \frac{5}{2}y^2}

Differentiate

\mathbf{A' = 600 -5y}

Set to 0

\mathbf{600 -5y = 0}

Add 5y to both sides

\mathbf{5y = 600}

Divide both sides by 5

\mathbf{y = 120}

Substitute \mathbf{y = 120} in \mathbf{x = \frac{1200 - 5y}{2}}

\mathbf{x = \frac{1200 - 5 \times 120}{2}}

\mathbf{x = \frac{1200 - 600}{2}}

\mathbf{x = \frac{600}{2}}

\mathbf{x = 300}

Recall that:

\mathbf{Area =xy}

So, we have:

\mathbf{Area = 300 \times 120}

\mathbf{Area = 36000}

Hence, the maximum area of the pen is 36000 square feet.

Read more about maximum areas at:

brainly.com/question/11906003

7 0
3 years ago
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