All categories

3 years ago

Answerrrrrr thisss tooooo helppppppp

Mathematics

1 answer:

Neporo4naja [7]3 years ago

7 0

Answer:

992.43 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

For X:

Volume (Vₓ) = 130 cm³

Area (Aₓ) = 202 cm²

For Y:

Volume (Vᵧ) = 638.69 cm³

Area (Aᵧ) =?

Since both shape are similar, we can obtain the area of Y as follow:

Vₓ / Aₓ = Vᵧ / Aᵧ

130 / 202 = 638.69 / Aᵧ

Cross multiply

130 × Aᵧ = 202 × 638.69

Divide both side by 130

Aᵧ = (202 × 638.69) / 130

Aᵧ = 992.43 cm²

Therefore, the area of Y is 992.43 cm²

You might be interested in

Set up (do not evaluate) the integral which gives the volume when region bounded by curves y=Ln(x), y=2, and x=1 is revolved aro

ladessa [460]

Step-by-step explanation:

Graph the region: desmos.com/calculator/rbe6rq61a2

When the region is rotated about y=-2, the resulting shape is a horizontal, hollow cylinder. The volume can be found with either washer method or shell method.

To use washer method, cut a thin vertical slice of the region. Rotated around y=-2, this slice becomes a washer. The width of this washer is dx. The outer radius is 2 − (-2) = 4. The inner radius is y − (-2) = y + 2. The volume of the washer is:

dV = π (4² − (y + 2)²) dx

dV = π (4² − (ln x + 2)²) dx

The total volume is the sum of the washers from x=1 to x=e².

V = ∫ dV

V = ∫₁ᵉ² π (4² − (ln x + 2)²) dx

To instead use shell method, cut a thin horizontal slice of the region. Rotated around y=-2, this slice becomes a cylindrical shell. The thickness of the shell is dy. The radius is y − (-2) = y + 2. The width is x − 1. The volume of the shell is:

dV = 2π (y + 2) (x − 1) dy

dV = 2π (y + 2) (eʸ − 1) dy

The total volume is the sum of the shells from y=0 to y=2.

V = ∫ dV

V = ∫₀² 2π (y + 2) (eʸ − 1) dy

6 0

3 years ago

Find the equation of the line of best fit in slope intercept form . please help

slavikrds [6]

Answer:

y = (2/5)x + 3

Step-by-step explanation:

Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5). First we find the slope of this line: m = rise/run.

As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise). Thus, the slope of this line is m = 2/5.

Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3. Then our equation is y = mx + b, or y = (2/5)x + 3

6 0

3 years ago

Read 2 more answers

Pleaseee helppppppp!!!!!!!!!

larisa [96]

Answer:

angle 1 + angle 2 = 100

angle 1 = 40

angle 2 = 60

angle 3 = 120

Step-by-step explanation:

5 0

3 years ago

Batman (mass=100 kg) jumps straight down from a bridge in to a boat (mass = 580 kg) in which a criminal is fleeing. The velocity

Crank

Answer:

$v_b=11.94\ m/s$

Step-by-step explanation:

<u>Linear Momentum </u>

The momentum of a system of masses m1,m2,m3... with speeds v1,v2,v3,... is given by

$M=m_1v_1+m_2v_2+m_3v_3+...$

When some interactions take place into the system of masses with no external forces interferring, the total momentum is not changed, which means that if the new speeds are v1', v2', v3'... then:

$m_1v_1+m_2v_2+m_3v_3+...=m_1v_1'+m_2v_2'+m_3v_3'+...$

The problem relates the story of Batman (m1=100kg) who is initially assumed at rest and lands on a boat with mass m2=580 kg initially moving at 14 m/s to the positive reference. When the collision takes place, both masses join and a common speed $v_b$ is achieved by the common mass. Applying the conservation of momentum, we have