The perimeter of a semicircle is 46.26 meters. What is the semicircle's diameter?

Answers

Answer 1

Answer:

diameter = 18 m

Step-by-step explanation:

46.26 = 1/2π(diameter) + diameter

46.26 = 1.57d + d = 2.57d

d = 46.26/2.57 = 18 m


Related Questions

Find TWO factors that are equivalent to 1/2

Answers

Answer:

6/12, 4/8

Step-by-step explanation:

If cos 0 = 3/radical 22 and angle 0 is in Quadrant I, what is the exact value of tan 20 in
simplest radical form?

Answers

Answer:

[tex] \tan2\theta =-\dfrac{3\sqrt{13}}{2} [/tex]

Step-by-step explanation:

To find:-

The value of [tex]\tan2\theta[/tex] .

Answer:-

We are here given that the value of,

[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]

And we know that cosine is the ratio of base and hypotenuse. Therefore,

[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]

So we can also say that,

[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]

Let us take the given ratio to be 3x:22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,

Pythagoras theorem:-

In a right angled triangle the sum of squares of perpendicular and base is equal to the square of hypotenuse.

Mathematically,

[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]

where the symbols have their usual meaning.

On substituting the respective values, we have;

[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]

[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]

[tex]\longrightarrow p^2=13x^2 \\[/tex]

[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]

Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,

[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]

[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]

[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]

Now we may use a identity which is ,

[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]

On substituting the respective values, we have;

[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]

[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]

This is the required answer .

Can Anyone help me with this assignment please

Answers

Answer: Answers are in step by step. please like and give a review.

Step-by-step explanation:

1. An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.

2. 5x - 8 = 37 if and only if x = 9.

3. If two angles have the same measure, then they are congruent. If two angles are not congruent, then they do not have the same measure. If two angles do not have the same measure, then they are not congruent.

4. 2x + 5 = 3 , then x = 3

5. With 3 equal sides is a equilateral triangle

Mrs. Spina bought 4 boxes of 8 pork chops. She set aside 12 and separated the rest into packs of4 to freeze. How many packs of chops did Mrs. Spina freeze

Answers

Step-by-step explanation:

Number of pork chops Mrs Spina bought =

Number of boxes x number of pork chops per box

= 4x8

= 32

Number of Pork chops to freeze = 32 - 12 (set aside) = 20

Number of packs of pork chops to freeze = Number of pork chops to freeze / pork chops per pack

= 20/4

= 5 packs.


If n and k are positive integers and 8” = 2*, what is the value of n/k

Answers

Answer:

B) 1/3

Step-by-step explanation:

If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 8 N acts on a certain object, the accelerstion of the object is 4 m/s2. If the acceleration of the object becomes 9 m/s?, what is the force?​

Answers

Answer:

18N

Step-by-step explanation:

According to Newtons second law

F ∝ a

F =  ka

k is the constant of proportionality

When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s2, hence;

8 = 4k

k = 8/4

k = 2

If a = 9m/s², F = ?

Recall F = ka

F = 2 * 9

F = 18N

Hence the force will be 18N

find the slope of the function: y²+x²y+x²=1 at the point (-1,2)​

Answers

Slop mean got first derivative

I solve in photo
I got
y=x-3
Let me know if that’s right

Fell free to give brainily as it would help a lot

Express the shaded area as a fraction, a decimal, and a percent of the whole

Answers

Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

3 I think will be your answer

Please help me in this

Answers

Answer:

top=170mm squared

shape 2=76.27 cm squared

shape 3=62.862 cm squared

Step-by-step explanation:

top shape...

(18x15)-4(5x5)=area

270-4(25)=area

270-100=area

170=area

shape 2...

diameter of circle is 6 so radius is 3...

area=pier^2

a=28.27 and their are two half circles so that makes one whole circle

(8x6)+28.27=76.27 cm squared

shape 3...

total of rectangle with a half circle subtracted.  r=4 d=8

so

11x8=88 for rectangle then subtract half circle

a=pie r^2

a=50.27

50.27/2=25.135 subtract this from rectangle total...

88-25.135=62.862 cm squared

Multiply
(2x2 – 3x)(3x2 + 2x - 1)
help plz

Answers

I hope this helps :)

this is the answer I believe

Select the correct answer.
If a six-sided die is rolled 30 times, how many times can you expect to get a 6?
OA 3
OB.
5
OC. 6
OD 10
PL HELP WILL MARK BRAINLY 10 POINTS

Answers

Answer:

5 times

Step-by-step explanation:

1/6·30=5

so your answer is b)5

Can i have a brainliest please or 10 points?

Find the slope and the y-intercept of the graph of y−3.5=−2x.

Answers

Answer:

m = -2

b = 3.5 or (0, 3.5)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y − 3.5 = −2x

y = -2x + 3.5

    m = -2

    b = 3.5

The slope of given equation is -2 and the y-intercept is 3.5.

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The given equation is y-3.5=-2x.

Now, in slope intercept form y=-2x+3.5

The standard form of the slope intercept form is y=mx+c.

Where, m=slope and c=y-intercept

Now, m=-2 and c=3.5

Therefore, the slope of given equation is -2 and the y-intercept is 3.5.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ2

Admission prices at a football game were $5 for adults and $ 2 for children.

The total value of the tickets sold was $2520, and 654 tickets were sold. How many adult

tickets and how many child tickets were sold?

Show all six steps.

Answers

Answer:

404 adult tickets were sold, and 250 child tickets.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that

x is the number of adult tickets sold.

y is the number of child tickets sold.

654 tickets were sold.

This means that

[tex]x + y = 654[/tex]

[tex]y = 654 - x[/tex]

Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.

This means that

[tex]5x + 2y = 2520[/tex]

Since [tex]y = 654 - x[/tex]

[tex]5x + 2(654 - x) = 2520[/tex]

[tex]5x + 1308 - 2x = 2520[/tex]

[tex]3x = 1212[/tex]

[tex]x = \frac{1212}{3}[/tex]

[tex]x = 404[/tex]

[tex]y = 654 - x = 654 - 404 = 250[/tex]

404 adult tickets were sold, and 250 child tickets.

Hi please help me with these questions asap.​

Answers

Step-by-step explanation:

A. r=42/2=21

B.

[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]

C.

[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]

Can someone help me solve for x please it’s urgent

Answers

Answer:

37.5

Step-by-step explanation:

16/46 = 20/(20+x)

or, 16(20+x) = 46×20

or, 320 + 16x = 920

or, 16x = 600

or, x = 600/16

x = 37.5

Need help on this please still lost on this one

Answers

It should be 6.25 pi
That would be6.25 square meters!

Watch help video
Given 1 ||
т
||
n, find the value of x.
Z
(4x+6)°
т
(5x-4)
n

Answers

The Answer is
X=10

Explanation:

what is value of x in 96-3x=6​

Answers

x=30

Explanation:

96-3x=6
-96 -96
subtract 96 from both sides

-3x=-90

now divide -90 by -3

-3/-90= 30

x=30

Answer:

X= 30

Step-by-step explanation:

96-3x=6

first move all terms not containg x to the right side of the Equation

Subtract 96 from both sides of the equation.

-3x = 6 - 96

subtract 96 from 6 and u will get

-3x= -90

Then u will have to divide each term by -3 and simplify which will get u

-3x/-3 when u divide from that u should get -90/-3

Then divide x by 1 and itll equal

x= -90/-3

Then divide -90 by -3 and you will get

x= 30

I hope this is good  

Which is bigger: 4 quarts or 9 pints?

Answers

Answer:

9 pints

Step-by-step explanation:

4 quarts is equal to 8 pints.

What does p equal Help?

Answers

Answer:

your answer will be P=27

Step-by-step explanation:

hope it helps...

A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location. By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?

A.
$261.41 and $268.59
B.
$257.82 and $272.18
C.
$264.37 and $265.63
D.
$254.23 and $275.77

Answers

Answer:

I believe answer B.

A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.

Answers

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.

If ADC measures 35º, what does

Answers

Answer:

by inscribed angle rule do it.

Step-by-step explanation:

hope this help

Answer:

70°

Step-by-step explanation:

∠ADC is a inscribed angle. ∠ABC is a central angle. The inscribed angle's measurement will be 1/2 of the measurement of the central angle.

In this case, the inscribed angle ∠ADC is given to you with a measurement of 35°. To solve for ∠ABC, multiply 2 to the given value:

35 x 2 = 70

70° is your answer.

~

What is the surface area? 4 mm 10 mm 5mm square millimeters​

Answers

Answer:

200

Step-by-step explanation:

Length*Width*Hight= 4*10*5=200

hope this helps

Answer:  I am pretty sure it is 200

Step-by-step explanation:

I may be wrong sorry if it is have a good day :)

HELP ASAP PLEASE EMERGENCY! Find the area of the shape shown below

Answers

Answer:

IT SHOULD BE 240

Step-by-step explanation:

1) Multiply 20 by 10 for 200

2) Lenght=20 so half is 10

3) multiply 10 by 4 and divide by 2 which gives 20

4) Multiply 20 by 2 because there are 2 rectangles which gives us 40

5) Add 200 and 40 which gives answer of 240

please help me i really need help please i really really need help please

Answers

Answer:

56.6 yd

Step-by-step explanation:

in the picture above

pls mark as brainliest

A restaurant can seat 100 diners. Four of
the tables can each seat 6 people. The
rest of the tables can each seat 4 people.
How many tables does the restaurant
have in all?

Answers

100 people

6x4= 24

100-24= 76

76÷4= 19

19+4=23

lmk if I'm wrong

30 points for this A special truck cleans the surface of the ice rink shown. The figure is composed of a square and two semicircles.
85 ft
85 Ft
If the truck cleans the entire surface, how many square feet of ice will the truck clean?
Use 3.14 for . Round your answer to the nearest tenth.
The truck will clean about
square feet of ice

Answers

Answer:

12897 square feet

Step-by-step explanation:

So first find the area of the square:  

85 * 85 = 7225

Then, the two semi circles together is a full circle. Use the circle area formula,

A = πr^2

The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5

Now:

A = π(42.5)^2

A = 3.14(42.5)^2

A = 3.14(1806.25)

A = 5671.625

Lastly, add the two areas up for the square and circle:

7225 + 5671.625 = 12896.625

Round to nearest tenth: 12897

The distance around a circle is 69.08 feet. Determine the area of the circle.

Answers

Answer:

138.16

Step-by-step explanation:

Just c please

Thanks will give brainliest

Answers

pyramid A: 16 + [tex]8\sqrt{5[/tex]

pyramid B: 400 + [tex]8\sqrt{125[/tex]

pyramid A: 4 by 4= 16 cm.

with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh

square root of 5 multiplied by 4 and divided by 2 is 2 root 5

multiply this by 4 sides total for 8 root 5

Add the 8 root 5 to 16

To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125

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