Find the Perimeter of the figure below, composed of a rectangle and a semicircle.
Round to the nearest tenths place.

Answer:

3/4 x 12/1= 9

Step-by-step explanation:

I answered this earlier but it deleted it.

So you would put the 12 over one to make it a fraction and multiply straight across

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴  = 2⁽³⁻⁴⁾

2³ × 2⁻⁴  = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

[tex]2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5[/tex]

The value is 0.5.

More about the exponent link is given below.

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Answer:

The answer is D.

Step-by-step explanation:

Hope this helps. Pls give brainliest!

Answer:

45 degrees

Step-by-step explanation:

all angles of a square add up to 360
360 divided by 4 is 90
the diagonal bisects the angle in half so 90 divided by 2 is 45

Answer:

45°

Step-by-step explanation:

Each interior angles of a square is 90° since each side is perpendicular to its adjacent side.

Therefore, as the diagonal bisects the angle(s), this means it divides each 90° angle into 2 equal parts.

So 90 ÷ 2 = 45

Answer:

48cm!

Step-by-step explanation:

10 + 6 = 16

16 + 17 = 33 ( 16 + 10 = 26 + 7 =  33)

33 + 15 = 48 (33 + 10 = 43 + 5 = 480

Answer:

  about 60.1 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths. The only side length not given is that of the slanted side. It can be considered to be the hypotenuse of a right triangle with legs (15 -10) = 5 cm and (17 -6) = 11 cm. The Pythagorean theorem tells us that hypotenuse has a length of ...

  c² = a² +b²

  c = √(a² +b²) = √((5 cm)² +(11 cm)²) = √146 cm ≈ 12.083 cm

Then the sum of side lengths (CW from bottom left) is ...

   17 cm +10 cm +6 cm +12.1 cm +15 cm = 60.1 cm

The perimeter is about 60.1 cm.

The function which relates the distance traveled d to the time t as the train travels at a constant speed is,

[tex]f(t)=210t,\\d=210t[/tex]

The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,

[tex]s=\dfrac{d}{t}[/tex]

Here, (d) is the distance travelled by the body and (t) is time taken by the body to cover that distance.

A train leaves the station at time t=0. Traveling at a constant speed, the train travels 420 kilometers in 2 hours.

If the train travels 420 kilometers in 2 hours. Then by the above relation, the distance it travel in one hour will be,

[tex]d=\dfrac{420}{2}\\d=210\rm\; km[/tex]

As the train with constant speed travels 210 km per hour. Thus the linear function for this condition can be modeled as,

[tex]s=\dfrac{d}{t}\\210=\dfrac{d}{t}\\d=210t[/tex]

In the function of time,

[tex]f(t)=210t[/tex]

Thus, the function which relates the distance traveled d to the time t as the train travels at a constant speed is,

[tex]f(t)=210t,\\d=210t[/tex]

Learn more about the speed here:

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Answer:

The answer is C, because you would have to essentially find the percentage of a fraction

Step-by-step explanation:

Answer:

110.0m^2

Step-by-step explanation:

Area = a x b x π

a = 5m, b = 7m so

Area = 35pi which is 110.0m squared to one decimal place

Answer:

Use mathematical skills to acquire the correct answer of 7.

Step-by-step explanation:

Hee hee hee haw.

Answer:

7 is the answer

Step-by-step explanation:

3x + 8 = 29

or, 3x + 8 - 8 = 29 - 8

or, 3x = 21

or, 3x/3 = 21/3

or, x = 7

The volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The more the volume of a object is obtains the more space. The volume of the cone can be given as,

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Here, (r) is the radius of the base of the cone and (h) is the height of the cylinder.

The diameter of the cone is 4 units. Thus, the radius of the cone is,

[tex]r=\dfrac{4}{2}\\r=2\rm units[/tex]

As the cone has a slant length of 5. Thus, the height of the cone is,

[tex]h=\sqrt{5^2-4^2}\\h=\sqrt{9}\\h=3 \rm units[/tex]

Here, the height is 3 units and the radius 2 units long. Thus the volume of the cone is,

[tex]V=\dfrac{1}{3}\times3.14\times (2)^2\times3\\V=12.56\rm units^3[/tex]

Hence, the volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.

Learn more about the volume of solid here;

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Answer:

A triangle with one of the angles being ninety degrees.

Step-by-step explanation:

Answer:

Learning Task 2

a. angle E

b. Line ES

c. angle A

d. Line LS

e. angle S

Step-by-step explanation:

Hope This Helps!!!!

Answer:

Step-by-step explanation:

[tex]2x - 3y\leq 6[/tex] ==> [tex]y\leq \frac{2}{3}x-2[/tex]

[tex]y < -\frac{1}{2} x[/tex]

[tex]2x - 3y\leq 6[/tex]

[tex]-2x[/tex]      [tex]-2x[/tex]

[tex]-3y\leq -2x+6[/tex]

[tex]\frac{-3y}{-3} \leq \frac{-2x+6}{-3}[/tex]

[tex]y\geq \frac{2}{3}x-2[/tex]

[tex]y\geq \frac{2}{3}x-2[/tex]  

[tex]y < -\frac{1}{2} x[/tex]

Check you answer using (-1,-1)

[tex]y\geq \frac{2}{3}x-2[/tex]

[tex]-1\geq \frac{2}{3}(-1)-2[/tex]

[tex]-1\geq -\frac{2}{3}-2[/tex]

[tex]-1\geq -\frac{2}{3}-\frac{6}{3}[/tex]

[tex]-1\geq -\frac{8}{3}[/tex]

[tex]-3(-1\geq -\frac{8}{3})[/tex]

[tex]3\geq 8[/tex]

True statement

Hope this helps!

Answer:

14

Step-by-step explanation:

19^2 = y^2+ 17^2

y = 8.5

by figure

x = 31 - 2*y

x = 14

Answer:

y = 3 [tex](2)^{x}[/tex]

Step-by-step explanation:

an exponential function in standard form is

y = a[tex]b^{x}[/tex]

use 2 points to find a and b

using (0, 3 ) , then

3 = a [tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so

3 = a

y = 3[tex]b^{x}[/tex]

using (1, 6 ) , then

6 = 3 [tex]b^{1}[/tex] = 3b ( divide both sides by 3 )

2 = b

y = 3 [tex](2)^{x}[/tex] ← is the exponential function

Answer:

Q1) ans-16%

Q2) ans-50%

Q3) ans- 16%

Q4) yes, I think the question 3 and 1 are same

Answer:2187

Step-by-step explanation:

3 to the power of 7 can be expressed as 37 = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187. The two important terms used frequently in exponents are base and powers.

Answer:

2187

Step-by-step explanation:
Given the following question:

3 to the seventh power
3 to the seventh power = 3^7

Solve:
[tex]3^7=3\times3\times3\times3\times3\times3\times3=2187[/tex]
[tex]=2187[/tex]

When dealing with exponents you have to multiply the base by itself as many times as the exponent. In this case 3 (the base) multiply by itself seven times (exponent) to receive the answer 2187.

Hope this helps.

let's start with the triangle, since that seems very obvious per se, the triangle has a base of 20 and a height of 14.

[tex]\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b= base\\ h= height\\[-0.5em] \hrulefill\\ b=20\\ h=14 \end{cases}\implies A=\cfrac{1}{2}(20)(14)\implies A=140[/tex]

now let's do the sector.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =45 \end{cases}\implies \begin{array}{llll} A=\cfrac{(45)\pi (20)^2}{360} \\\\\\ A=50\pi \implies A\approx 157.08 \end{array}[/tex]

now let's do the segment.

[tex]\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( \cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =45 \end{cases} \\\\\\ A=\cfrac{20^2}{2}\left( \cfrac{\pi (45)}{180}~~ - ~~sin(45^o) \right)\implies A=200\left(\cfrac{\pi }{4}~~ - ~~\cfrac{1}{\sqrt{2}} \right) \\\\\\ A=50\pi - 100\sqrt{2}\implies A\approx 15.66[/tex]

Answer:

63°

Step-by-step explanation:

Vertical angles are equal to each other.

Answer:

finite - it is equal to 15.625

HOPE THIS HELPS!!!

Answer:

Finite.

Step-by-step explanation:

125/8=15.625

The prοbability οf getting 4 green οutcοmes and 1 οrange οutcοme in 5 rοlls οf the number cube is 803/1000 οr 0.803 as a decimal.

Prοbability can be defined as ratiο οf number οf favοurable οutcοmes and tοtal number οutcοmes.

The prοbability οf rοlling a green side is 5/6, and the prοbability οf rοlling an οrange side is 1/6.

Tο find the prοbability οf getting 4 green οutcοmes and 1 οrange οutcοme in 5 rοlls, we can use the binοmial prοbability fοrmula:

P(4 green, 1 οrange) = (5 chοοse 4) * [tex](1/6)^1 * (5/6)^4[/tex]

where (5 chοοse 4) represents the number οf ways tο chοοse 4 rοlls οut οf 5 tο be green.

(5 chοοse 4) = 5! / (4! * 1!) = 5

Substituting this value intο the fοrmula:

P(4 green, 1 οrange) [tex]= 5 * (1/6)^1 * (5/6)^4[/tex]

= 5 * (1/6) * (625/1296)

= 3125/3888

= 0.803

Therefοre, the prοbability οf getting 4 green οutcοmes and 1 οrange οutcοme in 5 rοlls οf the number cube is 803/1000 οr 0.803 as a decimal.

To learn more about Probability from given link.

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Answer:

2 and 2/3

Step-by-step explanation:

(2/3)x(2/3)x6=

2 and 2/3

Then minimum size of air conditioner for the room with an assumed length and with of 9 and 7.5 meters respectively is 1687.5 BTU

To determine the size of the air conditioner we need some parameters of the room which are

Assumed Data

Let us find the are of the room

Area = Length*Width

Area = 9*7.5

Area = 67.5 meters square

After getting the area we need to multiply this value by 25BTU to obtain the ample cooling for the room

= 67.5*25

= 1687.5 BTU

Learn more about air conditioner sizing here:

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Answer:

the volume of said cube would be 1 unit ³

Step-by-step explanation:

1x1x1=1

Answer: Check out the image attached below

y intercept = (0,15)

x intercept = (24,0)

================================================

Explanation:

The y intercept always occurs when x = 0.

Plug in x = 0 and solve for y.

5x+8y = 120

5(0)+8y = 120

8y = 120

y = 120/8

y = 15

The y intercept is located at (x,y) = (0,15)

-------------------

On the flip side, the x intercept always happens when y = 0.

5x+8y = 120

5x+8(0) = 120

5x = 120

x = 120/5

x = 24

The x intercept's location is (x,y) = (24,0)

Refer to the diagram below to see how the boxes are filled in.

Make sure you use parenthesis when writing the ordered pairs.