A half circle is joined to an equilateral triangle whose
sides are each 10 units long.
What is the perimeter of this shape?

Please explain too

A Half Circle Is Joined To An Equilateral Triangle Whosesides Are Each 10 Units Long.What Is The Perimeter

Answers

Answer 1

We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.

Remember that for a circle of diameter D, the perimeter or circumference is:

p = pi*D

where pi = 3.14

So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.

Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10

Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:

C = (1/2)*3.14*10 = 15.7

And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:

Perimeter = 15.7 + 10 + 10 = 35.7

If you want to learn more, you can read:

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Related Questions

Preeta watches an ant and beetle crawl in a hole in the ground. the beetle is 3/4 inch below ground level. the beetle climbs 1/3 the distance the ant is below the ground level. the beetle is now 2 1/2 inches below ground level. Let X be the position of the ant relative to ground level. what equation can be written to solve for X? solve the equation.​

Answers

Answer:

1a:  [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b: See below

1c:  [tex]2\frac{3}{4}[/tex] inches between the beetle and ant

Step-by-step explanation:

1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.

So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b. Solve the equation written above from 1a.

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

-3/4     -3/4   [subtract 3/4 to start the process of getting x by itself]

[tex]\frac{1}{3}x[/tex] = 1[tex]\frac{3}{4}[/tex]

*3/1   *3/1 [Multiply Reciprocal to get X by itself]

x= [tex]5\frac{1}{4}[/tex]

1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them

5 1/4 - 2 1/2 =  [tex]2\frac{3}{4}[/tex]

A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work office. Warren comes along and decides to eat two in a row. What is the probability that Warren will eat a chocolate donut and then a custard filled donut

Answers

Probabilities are used to determine the chances of selecting a kind of donut from the box.

The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068

The given parameters are:

[tex]\mathbf{Bars = 6}[/tex]

[tex]\mathbf{Chocolate = 3}[/tex]

[tex]\mathbf{Custard= 3}[/tex]

The total number of donuts in the box is:

[tex]\mathbf{Total= 6 + 3 + 3}[/tex]

[tex]\mathbf{Total= 12}[/tex]

The probability of eating a chocolate donut, and then a custard filled donut is calculated using:

[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]

So, we have:

[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]

Simplify

[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]

Multiply

[tex]\mathbf{Pr = \frac{9}{132}}[/tex]

Divide

[tex]\mathbf{Pr = 0.068}[/tex]

Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068

Read more about probabilities at:

https://brainly.com/question/9000575

Where is the blue point on the number line ?

Answers

Answer:

-20

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

one period is 5, so -5×4 = -20

what is the LCM of 11 and 7

Answers

Answer:

77

Step-by-step explanation:

Hi! I think the answer is 77 because 7 times 11 = 77. Sorry if this isn't what ur looking for - Have a good day!

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{MULTIPLES OF 7 \& 11 }\huge\boxed{\downarrow}[/tex]

[tex]\bullet\ \large\boxed{\frak{7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, \ \& \ 91}}\\\bullet \ \large\boxed{\frak{11: 11, 22, 33, 44, 55, 66, 77, 88, \ \& \ 99}}[/tex]

[tex]\huge\boxed{\star\ \frak{7\times11 = 77\ }\star}[/tex]

[tex]\huge\text{Therefore, your answer is: \textsf{77}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

find the angle pls it's just 1 question ​

Answers

Answer:

70°

Step-by-step explanation:

isoceles so base angles are 55

55+55 is 110 so 180-110 is 70

Answer:

if the triangle is isosceles

Step-by-step explanation:

traingle angles= 180°

isosceles traingle= base angles are equal

180°-55°-55°= 70°

Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?

Answers

Answer:

182.91

Step-by-step explanation:

First multiply the cost of the meal by the sales tax percentage as a decimal (.14)

[tex]136.50*.14=19.11[/tex]

Then multiply the cost of the meal before sales tax by the tip percentage

[tex]136.50*.2=27.30[/tex]

Then add the tip and the sales tax on top of the cost of the meal to calculate the total cost

[tex]136.5+19.11+27.3=182.91[/tex]

Given: y || 2
Prove: m5+ m2+ m6 = 180°
L
A
M
1 1
23
y
4
5
6 7 z
С
B

Answers

The relationships between angles formed by two parallel lines having a common a transversal include, alternate interior, vertically opposite, corresponding, alternate exterior, same side, interior and exterior

The correct option for the missing reason in step 3. is as follows;

Alternate interior angles are congruent

The reason the above option is correct is as follows:

The given parameters are;

Line y is parallel to line z

The figure ABC forms a triangle

The two column proof is presented as follows:

Statement                                            Reason

1. ABC is a triangle                              1. Given

2. lines y and z are parallel                2. Given

3. ∠1 is congruent to ∠5; ∠3 ≅ ∠6     3. Statement reason required

∠3 is congruent to ∠6

4. m∠1 = m∠5; m∠3 = m∠6                4. By definition of congruency

5. m∠1 + m∠2 + m∠3 = m∠LAM          5. By angle addition Postulate

6. m∠1 + m∠2 + m∠3 = 180°                6. Angles on a straight line

7. m∠5 + m∠2 + m∠6 = 180°               7. Substitution (property)

Required:

The reason for  the statement ∠1 ≅ ∠5; ∠3 ≅ ∠6

Solution:

From the attached diagram for the question, we have that angle ∠1 and angle ∠5 on line AC and ∠3 and ∠6 on line AB are alternate interior on two parallel lines, and they are therefore, congruent.

Therefore

∠1 ≅ ∠5, and ∠3 ≅ ∠6 by alternate interior angles theorem which states that alternate interior angles, which are the pair angles formed in the inside face of two parallel lines crossed by a common and the common transversal but on either of the transversal, are congruent

Therefore, the missing reason in Step 3 is;  Alternate interior angles are congruent


JACK'S bag weighed 10.5
Pounds and William's bag
weighed 10.05 POUNDS.
Who's bag weighed more?
How much more did it
weigh?

Answers

Jack’s bag weighs more by 0.45 pounds.

STEP BY STEP EXPLANATION:
In 10.5, the 5 is closer to the decimal. The closer the number to the whole and period, the more value it has. The 5 in 10.05 is farther from the decimal so it's worth less.

10.5 subtract 10.05 = 0.45

how to find the circumference with a radius​

Answers

Answer:

The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.

Answer:

the circumference is pi*diameter. diameter is radius*2, and so (radius*2)*pi is the circumference

Pre college need help with 5

Answers

Answer:

parallel

Step-by-step explanation:

maybe I guess it parallel, cause it not perpendicular

Answer:

Step-by-step explanation:

3x - 8y = 19

    -8y = -3x + 19

        y = (3/8)x - 19/8

32x + 12y = 19

         12y = -32x + 19

             y = (-32/12)x + 19/12

             y = (-8/3)x + 19/12

as the slopes of the lines are negative reciprocals of each other, the lines are PERPENDICULAR

The expression on the left side of an equation is shown below. -6x+6=0 If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? 06 0 1 O 6x 6x6l​

Answers

Answer:

I think 0

Step-by-step explanation:

th
The Buffaloes scored 20 pointo the first part of the game. The Buffaloes total score at
the end of the game was 35 points.
What is the approximate percentage of the points scored during second part of the
game?
A
15%
43%
C.
57%
D
85%

Answers

The approximate percentage of the points scored during the second part of the  game is 43%

Given the total score at the second part of the game  = 35 points

Score at the first part of the game = 20 points

Amount of score during the second part of the game  = 35  = 20 = 15 points

% score in the second part  = 15/35 * 100

% score in the second part  = 1500/35

% score in the second part = 42.85 ≈ 43%

Hence the approximate percentage of the points scored during the second part of the  game is 43%

Learn more on percentage here: https://brainly.com/question/2236179

solve the following question​

Answers

Answer:
81
Explanation:
[(2^2) (3^4) (12^3)]/[(2^5) (6^3)]
Whenever you have a number that can be separated into parts you can and give the same exponent:
[(2^2) (3^4) (2^3x2^3x3^3)]/[(2^5)(2^3x3^3)]
Whenever you multiply two terms with the same base, you can add the exponents:
=[(2^8)(3^7)]/[(2^8)(3^3)]
Take both 2^8’s out
=(3^7)/(3^3)
Whenever you have two exponents with the same base divided you just subtract the exponents:
=3^4
=81
The answer is 81

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

How long would it take 100,000 grams of
radioactive iodine, which has a half-life of 60 days, to decay to
25,000 grams? Use the formula N = N() where N is the final amount of the substance, N, is the initial amount, and #
represents the number of half-lives.

Answers

Answer:

t = 2 half-lives = 2*60 days = 120 days

hope this helps

Step-by-step explanation:

Which expression finds the length of side y in this right triangle?

Answers

Answer:

y = [tex]\sqrt{19^2} + \sqrt{8.2^2}[/tex]

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c²

19² + 8.2² = c²

c = [tex]\sqrt{19^2 + 8.2^2}[/tex]

c = [tex]\sqrt{19^2} + \sqrt{8.2^2}[/tex]

-Chetan K

Plz help I need help

Answers

Answer would be 5z + 1
I think it is 5z + 1


Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?

Answers

If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.

Answer:

52 pages

Step-by-step explanation:

Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.

52 pages times 1 hour equals 52 pages.

52 x 1 = 52

Can anyone plz help me out with this?
I am all mixed up
I also need to find the axis of symmetry as well.
Thanks for the help
I appreciate it

Answers

Answer:

Down here    ↓↓↓↓↓

Step-by-step explanation:

(a) Does the Parabola open upward or downward

Upward - the open "space" is above the vertex, so it opens upward

(b) X and y  intercepts

x - intercepts : where the graph touches the x - axis

                      x - intercepts = (2, 0) , (4, 0)

Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0

y - intercepts : where the graph touches the y - axis

                      y - intercepts = (0, 3)

(c)  Vertex of the parabola

vertex: the point of symmetry

          vertex : (4, -1)

(d) Axis of symmetry

axis of symmetry : x - value of vertex

                            axis of symmetry : x = 4

-Chetan K

The holding period of property acquired by gift may begin on:

A. The date the property was acquired by the donor only.
B. The date of the gift only.
C. Either the date the property was acquired by the donor or the date of the gift.
D. The last day of the tax year in which the property was originally acquired by the donor.

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is C. Either the date the property was acquired by the donor or the date of the gift.

Step-by-step explanation:

The donor's holding time is included in the holding period connected with the gain basis rule. The loss basis rule's holding period begins on the day of the donation.

PLEASE HELP REWARDING A LOT

Answers

Answer:

(4,5)

Step-by-step explanation:

Fred needs 410 game markers to play with his classmates and their families math night. He has 96 red markers, 123 blue markers, 106 yellow markers, and 72 green markers. Does he have enough game markers to play the game?

Answers

Answer:

No

Step-by-step explanation:

the reason why i said nonis cause 96+123+106+72=397 which means he still needs 13 more

Mrs lee bought four times as many ties as wallets. He spent $840 altogether. A wallet cost $50 more than a tie. The total cost of the ties was $184 more than the total cost of the wallets. How many wallets did he buy?

Answers

Answer:

wa

at you ım prenses

Step-by-step explanation:

you ind soluk

Write the following complex number in rectangular form. 6(cos π/ 4+ isin π/ 4)
6(cos π/ 4 + i sin π/ 4) =
​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form a+bi. Rationalize all​ denominators.)

Answers

[tex]\stackrel{\textit{complex form}}{\stackrel{\stackrel{r}{\downarrow }}{6}\left[ \cos\left( \frac{\pi }{4} \right) +i\sin\stackrel{\stackrel{\theta }{\downarrow }}{\left( \frac{\pi }{4} \right)} \right]}\implies 6\left[ \frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2} \right]\implies \cfrac{6\sqrt{2}}{2}+i\cfrac{6\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{rectangular form}}{\stackrel{\stackrel{a}{\downarrow }}{3\sqrt{2}}+\stackrel{\stackrel{b}{\downarrow }}{3\sqrt{2}}i}~\hfill[/tex]

A boat is moored at a dock, as shown in the figure.

What is the length of rope A?

Note: The triangle formed is a right triangle.




8.3 ft


10.5 ft


12.3 ft


8.6 ft

Answers

Answer
12.3

Explanation

cos35=Side adjacent to 35/hypotenuse

=0.81915204428=A/15
A=0.81915204428x15
A=12.2872806642

12.3ft

Answer:

12.3

Step-by-step explanation:

i took the quiz

HELOOOOOOO HELPPPPPPPPP

Answers

Answer:

e would be 130 because its vertical angles and it has to add up to 180 so f would be 50 im not sure about d yet

Answer:

e = 130º it's a vertical angle

f = 50º it's supplementary to 130º

d = 90º it's a right angle

Find the equation of the line shown!!!

Answers

Answer:

y = x + 6

Step-by-step explanation:

PLEASE HELP!!!
Given various values of the linear functions f (x) and g(x in the table, determine the y-intercept of (f − g)(x).
x −6 −4 −1 3 4
f (x) 20 14 5 −7 −10
g(x) −36 −26 −11 9 14

no links please

Answers

Answer:

Building linear equations for f and g, it is found that the y-intercept of (f - g)(x) is of y = 8.------------A linear function has the following format:[tex]y ...

Step-by-step explanation:Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.

Answer:

bro its -4

Step-by-step explanation:

bc f(x) has y-intercept of 2 and g(x) has y-intercept of -6 so 9 (f-g)(x) would be 2-6 = -4

so the answer is actually (0, -4)..

In a certain chemical the ratio of zinc to copper is 4 to 15. A jar of the chemical contains 345 of copper how many grams of zinc does it contain ?

Answers

Answer:

92.

Step-by-step explanation:

By proportion the mass of zinc = (345/ 15) * 4

= 92.

DON’T SEND A LINK!

WHAT IS THE SLOPE OF THIS LINE

THE SLOPE IS NOT 4/1 OR 20/5

Answers

Answer:

slope = -4

Step-by-step explanation:

m=y2-y1/x2-x1

20-0/0-5

20/-5

= -4

HELP WITH GEOMETRY HOMEWORK ASAP!!!

Answers

Answer:

26°

Step-by-step explanation:

90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)

154°+x°=180°

x°=180-154°

x°=26°

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