All categories

2 years ago

Please look at the picture and answer.

Mathematics

2 answers:

mixer [17]2 years ago

7 0

S=1 ukgcucififsdifovovofusuaififofo

seraphim [82]2 years ago

6 0

Answer:

$s=1$

Step-by-step explanation:

Using the diagram, we can see that the angle is a right angle.

With this information, we can set up an equation:

$77+8s+5=90$

Please note that right angles are always equivalent to 90 degrees.

$77+8s+5=90$

Add like terms:

$82+8s=90$

Subtract 82 from both sides:

$8s=8$

Divide both sides by 8

$s=1$

You might be interested in

A single microvillus is a rod-like structure that is 1.0 μm in height. it has a hemispherical top approximately 0.1 μm in diamet

andre [41]

The surface area of the cylinder that forms the "sides" of the microvillus rod is given by the area of the curved surface of a cylinder with diameter (d) = 0.1 μm and height (h) = <span>1.0 μm.

The curved surface area of a cylinder is given by 2πrh, where r = d / 2 = 0.1 / 2 = 0.05 </span><span>μm.

Thus, the curved surface area is given by

$2(3.14)(0.05)(1.0) = 3.14 \times 10^{-11}\mu m^2$

Therefore, </span>the surface area of the cylinder that forms the "sides" of the microvillus rod is $3.14 \times 10^{-11}\mu m^2$

5 0

2 years ago

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$

$12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6$

To check if $r=6$ is a maximum we use the Second Derivative test

if $f'(c)=0$ and $f''(c)$ , then f(x) has a local maximum at x = c.

The second derivative is

$\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2$

Because $A''(r)=-2$ the largest slice is when r = 6 in.

The diameter of the pizza is given by

$D=2r=2\cdot 6=12 \:in$

A 12 in diameter will reward you with the largest slice of pizza.

3 0

2 years ago

In Zachs class 3/5 of the 25 students are boys. How many boys are in Zachs class?

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

(3/5)*25=15

4 0

2 years ago

Help me asp 25 points and will mark

denpristay [2]

Y=10x, 10 is the amount of money Miranda earns per hour , x is the amount of hours she works, y is the total amount of money she earns.
For Tommy’s earnings, use slope formula, which is y=y2-y1/x2-x1, take two random points from the table, (4,32) and (5,40)
(4,32) is (x1,y1). (5,40) is (x2,y2)
40-32/5-4= 8/1
The answer is 8. y=8x
Miranda earns more money per hour than Tommy.

8 0

2 years ago

Help❗️Anybody know how to do this stuff?

Lunna [17]

I wish I did I would help u out but I hope u have luck

7 0

3 years ago