According to this diagram, what is tan 74°?

Solve the system using the substitution method 4x+6y=8 3x+y=9

inessss [21]

4x+6y=8
3x+y=9

y = 9 - 3x

4x + 6(9-3x) = 8
4x + 54 - 18x = 8
14x = 46
x = 23/7

y = 9 - 3(23/7)
y = 9 - 69/7
y = - 6/7

4 0

3 years ago

"Filipe" was playing with a triangle on a coordinate plane. The triangle's area is 242424 square units. The largest circle he ca

Charra [1.4K]

Answer:

52.33% is the correct answer.

Step-by-step explanation:

Given that:

Area of triangle = 24 sq units

Center of Circle is at (0, 0) and the circle passes through (1.2, 1.6).

To find: The percentage of triangle covered by circle.

Solution: To find the required percentage, we need to find the area of circle.

To find the area of circle, we need the radius of circle.

Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.

We can use Distance formula :

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Radius = $\sqrt{(1.2-0)^2+(1.6-0)^2} = \sqrt{1.44+2.56} = \sqrt{4} = 2\ units$

Now, area of circle is given by the formula:

Area = $\pi r^{2}$

Area = 3.14 $\times 2^{2}$ = 12.56 sq units

Percentage of Triangle covered:

$\dfrac{Area\ of\ circle}{Area\ of\ triangle}\times 100\\\Rightarrow \dfrac{12.56}{24}\times 100\\\Rightarrow 52.33\%$

Hence, 52.33% is the correct answer.

5 0

4 years ago

The population of a town is 80,000. If the rate of growth of population of the town is 4% per year, estimate the population of t

zhenek [66]

the population of a town is 80000

rate 4%

year(t)=2 year

80000*104/100*104/100=86528

the population of the town end of two year is 86528

4 0

2 years ago

Read 2 more answers

What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve. x = –7 and x = 1 x = –5 and x = 3

Vitek1552 [10]

The solutions to the equation $\rm (x + 2)^{2} - 2(x + 2) - 15 = 0$ are 3 and -5.

<h3>What is the solution to the equation?</h3>

To solve any equation is to find the solution of the given equation which satisfied the equation.

The given expression is $\rm (x + 2)^{2} - 2(x + 2) - 15 = 0$

let u = (x +2)

then the equation becomes

$\rm u^{2} - 2u - 15 = 0$

by factorizing, we get

(u + 3)(u - 5) = 0

u + 3 = 0, u = -3

u - 5 = 0, u = 5

Since, u = x + 2

So, x + 2 = 5, x = 3

x + 2 = -3, x = -5

Therefore, the solutions to the equation are 3 and -5.

Learn more about the solution of the equation ;

brainly.com/question/545403

8 0

2 years ago

Consider the transformation T:x=4041u−941v, y=941u+4041v A. Compute the Jacobian: ∂(x,y)∂(u,v)= B. The transformation is linear,

love history [14]

A. The Jacobian for the transformation

$\begin{cases}x=\dfrac{40}{41}u-\dfrac9{41}v\\\\y=\dfrac9{41}u+\dfrac{40}{41}v\end{cases}$

is

$\dfrac{\partial(x,y)}{\partial(u,v)}=\begin{bmatrix}\dfrac{\partial x}{\partial u}&\dfrac{\partial x}{\partial v}\\\\\dfrac{\partial y}{\partial u}&\dfrac{\partial y}{\partial v}\end{bmatrix}=\begin{bmatrix}\dfrac{40}{41}&-\dfrac9{41}\\\\\dfrac9{41}&\dfrac{40}{41}\end{bmatrix}$

B. This question seems to be incomplete...

4 0

3 years ago