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2 years ago

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?

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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!! <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:

$\mathbf{2x + 5y = 1200}$ --- perimeter

$\mathbf{Area =xy}$ -- area

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.