55. Find the area of half of a circle with a radius of 16 mm.

Give your answer correct to three decimal places.

Answers

Answer 1

[tex] \huge \green{\underbrace{ \red{\rm \: Answer}}}[/tex]

To find the area of this square, we have to figure out what to do with given radius

r=16r=16 mm.

Radius makes half of the square's diagonal, therefore: d=2r=32d=2r=32 mm. Now we have to find the side aa to find the area.

To find aa, use the Pythagorean Theorem.

[tex] d^{2}&=a^{2}+a^{2} \\ 32^{2}&=2a^{2}\\ 1024&=2a^{2}\\ 512\text{ mm}^{2}&=a^{2}a^{2}[/tex]

Set the equation accordingly.

Substitute for d.

You can keep a2 as we will use it in the area.

[tex]\textbf{Finding the area} \\A=a^{2} \\A=512\text{ mm}^{2}[/tex]

[tex]\rule{1000pt}{1pt}[/tex]

Thankyou :D


Related Questions

What is the area of a circle with a diameter of 150 cm?

Answers

Answer:

5625π cm²

Step-by-step explanation:

Radius = 150 / 2 = 75 cm

Area = πr² = π(75)² = 5625π cm²

Answer: 17662.5 (I used 3.14 instead of the regular pi but if you need to use pi the answer would be 17671.4587)

Step-by-step explanation:

First, you grab the diameter then divide that by 2 (that gives you the radius of the circle) Then, multiple 75² * 3.14 (or pi) to give you the answer!

Hope this helps! Good luck!

PLEASE HELP ME WITH BOTH OF THESE PROBLEMS THIS IS DUE SOON PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

4.

a)

P = 2width + 2length

8x = 2x + 2 length; 8x-2x = 2 length; 6x=2 length

length = 3x

b)

sides= 1/4 of 3x = 3x/4

perimeter of square = 4* side = 4*3x/4 = 3x

c)

x= 4

P rectangle =8x= 8*4= 32

P square = 3x = 3*4 = 12

32-12 = 20 cm greater is the P rectangle than P of square

d)

A rectangle = 2x*x = 2*4*4 = 32

A square =(3x/4)² = (3*4/4)² = 9

32-9 = 23 cm² greater is the A rectangle than A of square

5.

4Comic+1 Nonfiction

4comic = 8y so 1 comic = 2y

1 nonfiction = (3+7y)+ 2y

a)

1 nonfiction = 7y+2y+3 = 9y+3

b)

total= 8y+9y+3 = 17y+3

if y=4

total = 17*4 +3  = $71

Solve the inequality. Graph the solution.

−6n>54

Answers

Answer:

n<-9

us an open circle on -9 pointing to the left

hope this helps

have a good day :)

Step-by-step explanation:

The answer would be n < -9

what is the value of k ?

Answers

Answer:

27-degrees

Step-by-step explanation:

these are vertical angles which are equal to each other *congruent

39 + k = 66 --> *subtract 39 from both sides*

k = 27

Answer:

27°

Step-by-step explanation:

Remember the angle opposite of another angle in two straight lines are equal

So 66=39+k

Then put k by itself by subtracting 39 from both sides

66-39=k

k=27°

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1. Complimentary

2. Noncoordinatry

Step-by-step explanation:

1. complementary: form a 90 degree angle, or corner: easy way to remember this is Corner = Complementsry
2. supplementary: form a 180 degree angle

Help somone plssss ASAP

Answers

The answer would be B
B jsjsjsjsjsjsjsjssjs

A bag contains 5 yellow balls 3 red balls and 2 green balls. A ball is removed from the bag without looking, the colour recorded, and then returned the bag. A second ball is drawn and its colour is also recorded.

c) What would be the outcome of the 2 balls if it has a probability of 1/10?

Answers

Answer:

the two balls are yellow and green, in either order.

Step-by-step explanation:

P(Y) = 5/10 = 1/2

P(R) = 3/10

P(G) = 2/10

Since the only combination that makes a product of 1/10, so

P(Y)*P(G) = (5//10) * (2/10) = 10/100 = 1/10

So the two balls are yellow and green, in either order.

The balls of two are yellow and green,in either order.


answer this please!!

Answers

Answer:

Hello! answer: 105

Step-by-step explanation:

You can find the area separately then add it up so... 10 × 6 = 60 10 × 9 = 90 90 ÷ 2 = 45

60 + 45 = 105 therefore the area is 105

Answer:

105 square meters

Step-by-step explanation:

Area= a + b/2 • h

Area= 15 + 6/2 • 10

Area= 21/2 • 10

Area= 10.5 • 10

Area= 105

Hope this helps, good luck!

The amount of money charged for borrowing or using money, or the amount of money earned by saving money.
A.budget
B.tax
C.income
D.interest

Answers

The answer is D. Interest is the amount of money that is charged for borrowing or using money. As well as the amount of money earned by saving money.

Answer:

D. interest

Step-by-step explanation:

interest is what the bank charges you to use their money and also when you receive (usually a percentage) of what you payed back!      ( hope this helps :) )\

For the following expressions, press Yes or No to indicate whether each expression is equivalent to 3(x + 2).

Answers

Answer:

3x + 2 No

3(2 + x) Yes

3x + 2x No

x + 2x + 2 + 4 Yes

x + x + x + 1 + 1 + 1 + 1 + 1 + 1 Yes

Step-by-step explanation:

B and d are correct.

Hurry Need Help Asap I Will Give Brainliest!!

Answers

Alright man...

For question 1, angle ABC and angle CBD combines to form angle ABD. Just saying, question 2 literally answers question 1.

For question 2, it's literally addition. So 40 + 25 = 65°.

For question 3, it's just subtraction. 70 - 45 = 25°.

Good luck on ur test or whatever ur doing

25, 50, 40, 90, 10, 60, 70 all in order of the blanks

the question is below

Answers

The answer is the start

I need some help with this one

Answers

Answer:

300+90+9

-45=0+40+5

Step-by-step explanation:

399-45=354

Sheeesh the prodigy tho.

300 + 90

-45

300 + 50 + 4 = 354

My first answer ever I think I’m right don’t hate me if I’m wrong :D

After travelling a distance of 35km, Vijay found that km of his journey was still
left. What was the length of his whole journey ?

Answers

Answer:

how much km was left

Step-by-step explanation:

his whole journey length would be if u add both km

What is the other length of his journey because let’s say his journey was 135 km and he traveled 35 km he’s only got 100 more km to travel so you’re missing an important number here by fren

Match the following items by evaluating the expression for x = -3.

x-2 =

x-1 =

x0 =

x1 =

x2 =

choices
1
1/9
-3
-1/3
9

Answers

Step-by-step explanation:

x^-2 = 1/9

x^-1 = -1/3

x^0 = 1

x^1 = -3

x^2 = 9

PLSS HELP I WILL GIVE BRAINLIEST 6 +-12

Answers

Answer:

Your answer is -6

Step-by-step explanation:

Hope this helps :3

Answer:

The answer to the problem is -6.

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 30 inches, and the length of the base is 10 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

Answers

Perimeter = 78.7 inches
Step-by-step explanation:
From the given question, applying the Pythagoras theorem to one of the congruent triangles formed, we have;
= +
= +
=841 + 81
= 922
hyp =
= 30.3645
The perimeter of the triangle can be determined as;
perimeter = + +
= 30.3645 + 18 + 30.3645
= 78.729
The perimeter of the triangle = 78.7 inches

The perimeter of the triangle is 70.82 inches.

Given as :

The length of the altitude is 30 inches, and

The length of the base is 10 inches

What is right triangle?

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Let, perpendicular = 30 and base = 5

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular² + base² = hypotenuse²

Substitute the values,

30² + 5² =  hypotenuse²

900 + 25 =  hypotenuse² or

hypotenuse² = 925

hypotenuse = √925

hypotenuse = 30.41

The perimeter of the triangle can be determined as:

Perimeter of the triangle = l₁ + l₂ + l₃

Perimeter of the triangle = 30.41+ 10 + 30.41

Perimeter of the triangle = 70.82

Hence, the perimeter of the triangle is 70.82 inches.

Learn more about right triangle here:

brainly.com/question/6322314

#SPJ2

A parallelogram has one side that is 9 millimeters and one side that is 13 millimeters. What is the perimeter of the parallelogram?

Answers

Perimeter of Parallelogram: 2(a+b)

Here,

a= 9

b= 13

So,

➠ 2(9+13)

➠ 2 × 22

Ans ➠ 44mm

B= 13
A=19

Explanation- 2(9+13) = 2(22)
2*22=44mm

Keep in mind an area of a parallelogram is 2(a+b)

10.45 and 1.27 what is the difference between these two numbers (NO FILES)

Answers

Answer:

[tex]10.45 - 1.27 \\ = 9.18[/tex]

9.18 is the difference. To solve you need to subtract 10.45 by 1.27 to get your answer of 9.18

I WILL REWARD BRAINLIEST
The average (mean) of three numbers is 10. The first two numbers are 10 and 4. What is the third number?


7

8

14

16

Answers

Answer:

16

Step-by-step explanation:

Evaluate the expression.

Answers

Answer:

131

Step-by-step explanation:

1. Do the brackets first because BEDMAS -> 5^2+2 x 53

2. Do the exponents -> 25 + 2 x 53

3. Multiply and divide (left to right) -> 25 + 2 x 53 -> 25 + 106

4. Add and subtract that -> 131

Hope this helps! :)

Symbolab is a good calculator to use for these equations

25+2 (73-20)
27 (53)
= 1431

Hope it helps
Please mark brainliest

What is the median?
Points scored by the soccer team:
3, 7, 15, 10, 2, 9, 12, 5

Answers

Answer:

3,5,7,9,10,12,15 and 9 would be your median

Step-by-step explanation:

I think it’s 8 in not sure
Because there is two numbers in the middle if you put them in order so u add them then divide it by to which gets 8

2, 3, 5, 7, 9, 10, 12, 15
7 and 9 are in the middle so add them
7+9=16
16/2=8

7. The planet Abydos experiences drastic changes in temperature over the course of the day. On one day it reached a minimum temperature of −290°F, but then warmed up to a maximum temperature of −100°F.

What was the temperature change that day?

Answers

Answer:

The temprature change was +190 degrees farenheit

Step-by-step explanation:

subtract 290-100 using absolute value

PLEASE HELP ME ASAP :(

Answers

The first one is (0,4)

pls help. what is the equation of the trendline?

Answers

Answer:

0

Step-by-step explanation:

for which m is the slope, b is the y-intercept, x is any x value and y is any y value. By looking at the equation of the trend line, you can determine the y-intercept. For example, if the equation of the trend line is y=2x+5, the y-intercept is 5. You would receive this same answer if you let x = 0.

0 .....................

Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 1000 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 cm. How far did Chubby run

Answers

Answer:

i think its 200 m

Step-by-step explanation:

because 20 times 1000 rotations is 20000 cm so when u convert it to meter it is 200 meter if it is km it is 0.2 km

Distance ran by Avi's pet hamster chubby is 6280 cm.

The diameter of hamster wheel = 20 cm
Now the circumference of hamster wheel is given by :-

where d ⇒ the diameter of the hamster wheel.

During one race, the number of rotations of the wheel = 100
Therefore, the distance run by chubby is given by :-
Distance ran by chubby is equal to the number of rotations of the wheel times Circumference of the wheel.
framing in equation form we get;

D⇒ Distance ran by Chubby.

29. Find the value of t if

t:7=1:2

Answers

Answer:

t = 7/2

Step-by-step explanation:

t:7 = 1:2

t/7 = 1/2

Cross Multiply both sides

2t = 7*1

 t = 7/2

T=7/2 bc after u multiply that is ur proxy

Easy math please help

Answers

Answer:

Question 10.

angle 1 = 137°

angle 2 = 43°

angle 3 = 137°

reasoning - vertically opposite angles are equal, and angles on a point total to 360 degrees

Question 11.

a) Vertical: I dont know sorry :(

b) Complementary: ∠c and ∠b

c) Suplementary: ∠c and ∠d

d) All adjacent: I dont know sorry :(

e) Find values of all angles, if angle c is 30°: ∠a = 90°, ∠b = 60°, ∠c = 30°, ∠d = 150°, ∠e = 30°

hope this helps :)

if it's easy why can't you do it yourself...*illuminati music*

3(x - 4) < x - 8
Find x.

Answers

Answer: x<2, (negative infinity, 2)

Step-by-step explanation:

Answer:

x<2

or

(00,2)

Step-by-step explanation:

I hope this helps

LOL!!!

have a great night.

The equation of the trend line is y = -0.36x + 12.6.
Use the equation of the trend line to predict the wind chill for a wind speed of 1 mi/h. Round your answer
to the nearest degree.
The wind chill at 1 mi/h is
°F.

Answers

Answer:

9.72°F

Step-by-step explanation:

I think that's right :)

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