Mathematics College

Find the arc length of the semicircle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Find The Arc Length Of The Semicircle.Either Enter An Exact Answer In Terms Of \pipi Or Use 3.143.143,

Answers

Answer 1

Answer:

18.852

Step-by-step explanation:

Formula to find the arc of semi circle is :

Arc length = π r

Given that,

diameter ⇒ 12

So, the radius will be,

Radius ⇒ 12 / 2

            ⇒ 6

Let us solve now.

Arc length = π r

                  = 3.142 × 6

                  = 18. 852

Related Questions

Ronaldo's sisters eat the remaining slices of the first loaf of banana
bread. Write an inequality to compare the amount of banana bread that
Ronaldo and his friends ate to the amount his sisters ate

Answers

U didn’t give a lot of explanation

pls help i need an A

Answers

the answer is D. 6x+3

what is the answer 5x+9-4x=17

Answers

Answer:

x=8

Step-by-step explanation:

If you combine like terms (5x and 4x) it would become:

x+9 = 17

subtract 9 on both sides

x=8

Answer:

8

Step-by-step explanation:

Having trouble with this, help please?

Answers

Answer:

a) [tex]7x-15=20[/tex]

b)     [tex]\frac{20+15}{7}[/tex]

c)  [tex]5[/tex]

Step-by-step explanation:

Brain teaser what is two plus two minus two plus four divided by two?

Answers

Answer:

4

Step-by-step explanation:

2+2-2+4÷2

we go through

P- parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

also note that we read it from left to right becaue × is not more important than ÷ and same goes to + and -

First step

2+2-2+(4÷2) --> 2+2-2+2

then

2+2-2+2 --> 4-2+2

then

4-2+2 --> 2+2

finally

2+2=4

Answer:

4

Step-by-step explanation:

Tom has a gift box that is 3 units long, 6 units wide, and 12 units tall. What is the volume of the gift?

Answers

Answer:

216

Step-by-step explanation:

LxWxH fill it in 3x6x12=216

Solve for x and y:
Thanks for the help!

Answers

Answer:

x = 2

y = 15

Step-by-step explanation:

As the triangle is split with a line that is parallel to the base:

[tex]\implies x:6=6:18[/tex]

[tex]\implies \dfrac{x}{6}=\dfrac{6}{18}[/tex]

[tex]\implies x=\dfrac{6\cdot 6}{18}[/tex]

[tex]\implies x=\dfrac{36}{18}[/tex]

[tex]\implies x=2[/tex]

Similarly:

[tex]\implies y:20=6 : (6+x)[/tex]

[tex]\implies y:20=6:8[/tex]

[tex]\implies \dfrac{y}{20}=\dfrac68[/tex]

[tex]\implies y=\dfrac{6 \cdot 20}{8}[/tex]

[tex]\implies y=\dfrac{120}{8}[/tex]

[tex]\implies y=15[/tex]

Answer:

x= 5.18

y= 16.97

Step-by-step explanation:

Solve Y first-

trigonometric theorems-

[tex]c^2 =a^2 + b^2\\\\b^2 =c^2 - a^2[/tex]

[tex]y^2 =18^2-6^2 \\y^2 =324 - 36\\y^2= 288\\\sqrt{2} = \sqrt{288} \\ y=16.97[/tex]

solve x-

20-16.97=3.03

x=5.18

(I'm not sure if the answers are correct. I tried my best. I was confused to solve x though. )

Amy babysat 5 nights during the month of April. She earned $40, $30, $32, and $45 for four nights. How much did she earn the fifth time if the mean of the data is $37?

Answers

Answer:

$38

Step-by-step explanation:

[tex] \frac{40 + 30 + 32 + 45 + x}{5} = 37[/tex]

[tex] \frac{147 + x}{5} = 37[/tex]

[tex]147 + x = 185[/tex]

[tex]x = 38[/tex]

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -9x to the second power-6x-1=0

Answers

Answer:
discriminant=0
Number of real solutions=1


Step-by-step explanation:

Given the equation:
-9x^2-6x-1=0
Let a: coefficient of x^2
Let b: coefficient of x
Let c: constant
a=-9
b=-6
c=-1
The formula of the discriminant is given by:
discriminant= b^2 - 4ac
discriminant= (-6)^2 - 4(-9)(-1)
= 36 - 36 = 0
We know that:
If discriminant<0 then the equation has no real root
If discriminant=0 the equation has one real root
If discriminant>0 the equation has 2 real roots

Here we got discriminant=0 so the quadratic equation has 1 real root.

Frank needs to pay R60 000,00 towards his son’s university fees in three years’ time. If he has R46 150,30 now, at what interest rate per year compounded monthly, must he invest his money?

Answers

Using compound interest, it is found that he must invest his money at a rate of 8.78% a year.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

In this problem, the parameters are as follows:

t = 3, A(t) = 60000, P = 46150.3, n = 12.

Hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]60000 = 46150.3\left(1 + \frac{r}{12}\right)^{12 \times 3}[/tex]

[tex]\left(1 + \frac{r}{12}\right)^{36} = 1.3[/tex]

[tex]\sqrt[36]{\left(1 + \frac{r}{12}\right)^{36}} = \sqrt[36]{1.3}[/tex]

[tex]1 + \frac{r}{12} = (1.3)^{\frac{1}{36}}[/tex]

[tex]1 + \frac{r}{12} = 1.00731451758[/tex]

[tex]\frac{r}{12} = 0.00731451758[/tex]

r = 12 x 0.00731451758

r = 0.0878.

He must invest his money at a rate of 8.78% a year.

More can be learned about compound interest at https://brainly.com/question/25781328

Sophie has $40 in an account. The interest rate is 5% compounded annually. To the nearest cent, how much interest will she earn in 3 years? $

Answers

Answer:

$ 6.31

Step-by-step explanation:

The TOTAL amount in the account in 3 years will be

40 ( 1+.05)^3 = 46.31

  subtract the orignal 40 deposit to get the interest =6.31

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$40\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}[/tex]

[tex]A=40\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A\approx 46.31~\hfill \underset{earned~interest}{\stackrel{46.31~~ - ~~46}{\approx 6.31}}[/tex]

What is the surface area?
5 mm
5 mm
5 mm
square millimeter

Answers

15mm squared. Simply add the sums of all faces on shape.

Explain why it is important to have a good credit history.

Answers

Answer:

A good credit score is used for more than just getting a credit card or a loan. Credit scores demonstrate your history of paying your debts to entities that loan you money. Due to extending themselves beyond their means, many people are not able to pay their debts

Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25^{\circ} ∘ . If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

66.9 ft

Step-by-step explanation:

Kite string forms a right triangle with the horizontal 3.5 feet off of the ground

sin 25  = opp / hyp  = height / 150

sin 25 = height / 150

150 sin25 = height      but it is 3.5 feet off of the ground...add that in

3.5  + 150 sin25 = true height = ~ 66.9 ft

Figure B is a scale image of Figure A, as shown. Enter the scale factor applied to Figure A to produce Figure B.

Answers

The scale factor is 7. (Multiply each side by 7)

A builder wants to install a triangular window with the angles shown in the illustration. What angles will he have to cut to make the window fit? (Hint: The sum of the angles in a triangle equals 180°.)
x° =
°
(x + 30)° =
°

Answers

Answer:

X=40°

Step-by-step explanation:

40+30=70

40+30=70

70+70=140

140+40=180

The angles will builder has to cut to make the window fit is 40°, 70° and 70°.

Given that, the measures of the three angles of a triangle are x°, (x+30)° and (x+30)°.

What is the angle sum property of a triangle?

The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.

Now, x°+(x+30)°+(x+30)°= 180°

⇒3x+60°=180°

⇒3x=180°-60°

⇒3x=120°

⇒x=40°

So, x°=40°,  (x+30)°= 70°

Therefore, the angles will builder has to cut to make the window fit is 40°, 70° and 70°.

To learn more about the angle sum property of a triangle visit:

https://brainly.com/question/8492819.

#SPJ2

I need help with this question

Answers

The square root of 92 is approx. 9,6. So i suppose point P represents it better

The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.

Answers

Answer:

540

Step-by-step explanation:

Answer:

533.3mph

Step-by-step explanation:

Make a stem-and-leaf plot of the data values 14, 22, 9, 13, 30, 8, 25, and 29.
Stem Leaf
89
1 3
22
0
Key: 1 | 3 =
Previous
H
9
2
3
SO

Answers

Answer:

Step-by-step explanation:

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68

Answers

Answer: x > 64 and x < 68 is another way of rewriting inequality.

Step-by-step explanation:

To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.

⇒The inequality 64 < x < 68, where x represents height,gives the range of height.

⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.

[with the use of or it will appear to give priority by actor to follow any 1 conditon]

Find the perimeter of the figure.
6 meters
2y meters
2y
meters
4y meters
16 meters
4y meters

Answers

Answer:

34

Step-by-step explanation:

Usually when finding the perimeter all you have to do is add the sides.

PLEASE HURRY!!!
A bag contains 4 red pencils, 6 blue pencils, and 5 green pencils. A pencil is randomly selected, its color is recorded, and it is returned to the bag. This is repeated 1350 times. How many times is it expected that a green pencil will be selected?
A. approximately 360 times
B. approximately 450 times
C. approximately 540 times
D. approximately 900 times

Answers

Answer:

450

Step-by-step explanation:

1. Based on the given conditions, formulate:

1350 x 5 ÷ (5 + 4 + 6)

2. Calculate

[tex]\frac{1350x5}{5 + 4 + 6}[/tex]  The numerator is 1350 multiply by 5

[tex]\frac{6750}{5 + 4 + 6}[/tex]

[tex]\frac{6750}{15}[/tex]

Answer: 450

= #7 i
In the diagram, ARST ~ AXYZ . Find the scale factor from
ARST to AXYZ. Write your answer in simplest form.
S
Y
CO
3
R 4
T
21
10.5
Х
14
Z

Answers

Answer:

b

Step-by-step explanation:

Which expression is equivalent to 0.90¯¯¯¯? 10÷11 9÷10 90÷10 1÷11

Answers

Answer:

9÷10

Step-by-step explanation:

9÷10=0.9

Anita said, "I'm leaving school today at 1:15."
Frank replied, "I was able to fool the nurse into letting me leave early once, but I got in trouble when she found out I was faking.

What form of punctuation is missing?
A.
quotation marks
B.
There is no missing punctuation.
C.
a semicolon
D.
a colon

Answers

Answer:

A

Step-by-step explanation:

The quotation mark is missing at the very end of the last quote right after:

I was faking.

Answer:

i think A

Step-by-step explanation:

The quotation mark is missing at the very end

BRAINLIEST + STARSS!!

In this diagram, x || y || z and m<9 = 93°.
What is the measure of each angle?
Drag and drop the correct measurements into the boxes to
match each angle.
m<2
m<4
m<7

89° 91 ° 93 ° 87°

Answers

The answer for this is B I took the test

Don’t get the steps don’t tell me the answer tho. Just tell me the steps ( I don’t want to cheat)

Answers

D. 4032 cups

Step-by-step explanation:

336 x 12 = 4032

Hope this helps!

Answer:

4,032

Step-by-step explanation:

Just multiply 336 times 12. This is becuase they are not asking for adele's amount.

Which of the Question A & B?

​

Answers

Answer:

A) 50 households are randomly selected from the town; 14 own a dog

B) 98

Step-by-step explanation:

A) The first choice is the most logical because it doesn’t factor in the accommodations that the other two do.

B) There are 14 households that own dogs per 50 houses, so multiply by 7 to find how many dogs are in the whole town:

50 x 7 = 350 houses

14 x 7 = 98 households

Cassie uses her phone 2 1/4 times as much as Margaret every day. If Margaret averages 1 2/3 hours of phone use per day, how much time does Cassie spend?

Answers

I think it’s 1 and 2/3 times 2 and 1/4 which is 3 and 3/4

Which point is a point where the graph of [tex]y=(x-5)(x^2-7x+12)[/tex] crosses the x-axis?

Answers

Answer: C. (4, 0)

Step-by-step explanation:

    We can graph the equation given to solve. See attached.

   The answer to this question is C. (4, 0)

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