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Marianna [84]
3 years ago
10

For the right triangle shown, which expression represents the length of CA?

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

Step-by-step explanation:

The attached figure shows a right angled triangle right angle at C. It is required to find the length of CA.

Here, CA = x = perpendicular

BC = base

AB = hypotenuse =7

Angle B is 40 degrees

We know that the ratio of perpendicular to the hypotenuse is equal to sine of angle.

\sin\theta=\dfrac{P}{H}\\\\\sin(40)=\dfrac{x}{7}

x is length of CA

x=7\sin(40)

So, the correct option is (A).

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Which equation has the solution y=2?
antoniya [11.8K]

Answer:

<h2>3y + 2 = 8</h2>

Step-by-step explanation:

solve A

2y - 3 = 19

2y = 22

y = 11

solve B

3y + 2 = 8

3y = 6

<h2>y = 2</h2>

solve C

4y - 4 = -4

4y = 0

y = 0

solve D

5y + 1 = 10

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7 0
3 years ago
The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)
Lemur [1.5K]

Answer:

Cardiac output:F=0.055 L\s

Step-by-step explanation:

Given : The dye dilution method is used to measure cardiac output with 3 mg of dye.

To Find : Find the cardiac output.

Solution:

Formula of cardiac output:F=\frac{A}{\int\limits^T_0 {c(t)} \, dt} ---1

A = 3 mg

\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt

Do, integration by parts

[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}

[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}

[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}

Substitute the value in 1

Cardiac output:F=\frac{3}{54.49}

Cardiac output:F=0.055 L\s

Hence Cardiac output:F=0.055 L\s

4 0
2 years ago
TRUE OR FALSE:<br><br> 16 + 72n = (2 + 9n)(8)
scoray [572]

Answer:

true

Step-by-step explanation:

please see the image I attached of my work

3 0
3 years ago
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asambeis [7]

Answer:

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Step-by-step explanation:


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3 years ago
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Elodia [21]
You can try by plugging each ordered pair and seeing if the equation comes out true.

(5, 1)

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6 0
3 years ago
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