A door mat is 21 inches wide and 27 inches long .what is its perimeter

Murrr4er [49]

Answer:

A/C

Step-by-step explanation:

Since the sum of the angles in a triangle equals 180°, and angle C is 90°.

That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.

Your welcome! :)

3 0

2 years ago

Help

kobusy [5.1K]

The equation of the line is y - 3 = 5(x - 8) ⇒ c

Step-by-step explanation:

The point-slope form of the linear equation is $y-y_{1}=m(x-x_{1})$ , where:

m is the slope of the line
$(x_{1},y_{1})$ is a point on the line

∵ The line passes through point (8 , 3)

∴ $x_{1}$ = 8 and $y_{1}$ = 3

∵ The slope of the line is 5

∴ m = 5

- Substitute these values in the form of the equation below

∵ $y-y_{1}=m(x-x_{1})$

∴ y - 3 = 5(x - 8)

The equation of the line is y - 3 = 5(x - 8)

Learn more:

You can learn more about the linear equations in brainly.com/question/1284310

#LearnwithBrainly

3 0

2 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

4 0

3 years ago

A company is making a new label for one of their containers. The container is a cylinder that is 9 inches tall and 5 inches in d

nydimaria [60]

Answer:

180.55 in².

Step-by-step explanation:

Data obtained from the question include the following:

Height (h) = 9 in.

Diameter (d) = 5 in

Pi (π) = 3.14

Area of the label =..?

Next, we shall determine the radius.

Diameter (d) = 5 in

Radius (r) =.. ?

Radius (r) = Diameter (d) /2

r = d/2

r = 5/2

r = 2.5 in.

Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.

This is illustrated below:

Height (h) = 9 in.

Pi (π) = 3.14

Radius (r) = 2.5 in.

Surface Area (SA) =.?

SA = 2πrh + 2πr²

SA = (2×3.14×2.5×9) + (2×3.14×2.5²)

SA = 141.3 + 39.25

SA = 180.55 in²

The surface area of the cylinder is 180.55 in².

Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².

5 0

2 years ago

How do you solve 4s+5=19

kolbaska11 [484]

4s + 5 = 19

First, subtract 5 from both sides. / Your problem should look like: 4s = 19 - 5.
Second, simplify 19 - 5 to 14. / Your problem should look like: 4s = 14.
Third, divide both sides by 4. / Your problem should look like: s = $\frac{14}{4}$ .
Fourth, simplify $\frac{14}{4}$ to $\frac{7}{2}$ . / Your problem should look like: s = $\frac{7}{2}$ which is the answer.

7 0

2 years ago

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