find the area of circle o if DCBO is a rectangle and DB measure 10 units

Answers

Answer 1

Answer:

[tex]100\pi[/tex]

Step-by-step explanation:

Step 1: Identity the radius.

Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,

OC=OE.

Step 2: Consider the rectangle.

All diagonals in a rectangle are congruent so this means

DB= OC ( OC is also a diagonal).

Thus, OC= 10 units.

Step 3: Analyze

So this means OE is also 10 units as well.

Since we know the length of the radius, Use the area of circle,

[tex]\pi {r}^{2} [/tex]

[tex]\pi( {10}^{2} ) = 100\pi[/tex]

So the area of a circle is 100 pi.

Answer 2

Answer:

314.2 square units

Step-by-step explanation:

The diagonals of a rectangle are the same length, so segment OC is the same length as segment DB: 10 units. OC is a radius of the circle, which means the circle's radius is 10 units.

The area of a circle is given by ...

A = πr²

A = π(10 units)² = 100π units²

A ≈ 314.2 units²

The area of circle O is about 314.2 square units.

Related Questions

Find the equation that passes through the points (8,10) and (4,5). Give your results using function notation

Answers

Answer:

f(x) = 5/4x

Step-by-step explanation:

The equation of the line can be found using the 2-point form of the equation of a line:

y -y1 = (y2 -y1)/(x2 -x1)(x -x1)

This can be rearranged to the desired funtional form.

Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...

y -10 = (5 -10)/(4 -8)(x -8)

y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify

The equation can be written ...

f(x) = 5/4x

If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19

Answers

Answer: 25

Step-by-step explanation:

What is the area of a triangle whose sides have length $\sqrt{70},$ $\sqrt{70},$ and $\sqrt{28}$?

Answers

Answer:

980

Step-by-step explanation:

[tex]A = \frac{H.B}{2} = \frac{28.70}{2} = 980[/tex]

Hope it helps!!!Brainliest pls!!!

Answer:

Step-by-step explanation:

given determinant of a (a b c,d e f ,g h i) is -2 find determinant of ( g h i ,a b c ,d e f)

Answers

ANSWER:-

-2

Step-by-step explanation:

(abc, def, ghi) is -2

The measure of an angle is 74.4°. What is the measure of its complementary angle?

Answers

Answer:

15.6

Step-by-step explanation:

complementary angles sum up to 90

90-74.4=15.6

therefore the measure of it's complementary angle is 15.6

Alma reads 2 books each week Which number line best represents the number of weeks it
will take her to read at least 28 books?

Answers

Answer:

[C]

Step-by-step explanation:

To Find:

which number line represents the number of weeks it will take Alma to read at least 28 books.

Solve:

Create an inequality from the given information :

( 2x ≥ 28, where x represents the number of weeks)

Then divided both sides of the inequality by 2, resulting in x ≥ 14, or all values greater than or equal to 14.

Now, chosen the number line that shows all numbers greater than or equal to 14 (all the numbers to the right of 14 and including 14, which is indicated by a shaded circle).

Hence, [C} is the correct answer.

~Lenvy

find the average rate of change of over the interval (0,9 ]

Answers

Answer:

3. 10/9

4. 34

Step-by-step explanation:

The average rate of change of f(x) over the interval a ≤ x ≤ b is:

[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]

Problem 3

Given interval: 0 ≤ x ≤ 9

From inspection of the graph:

f(0) = -7f(9) = 3

[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]

Problem 4

Given:

function f(x) = x³ - 9xinterval: 1 ≤ x ≤ 6

⇒ f(1) = (1)³ - 9(1) = -8

⇒ f(6) = (6)³ - 9(6) = 162

[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]

Help ASAP.
i need you to please break it down ive tried and just don't understand

Answers

Answer:

A) -4

Step-by-step explanation:

Question

[tex]\sf evaluate \ \dfrac{-4+(m+2)}{n} \ \sf when \ m=\dfrac23 \ and \ \sf n=\dfrac13[/tex]

Solution

Substitute the given values of m and n into the original expression:

[tex]\sf \implies \dfrac{-4+(\frac23+2)}{\frac13}[/tex]

Carry out the operation in the brackets first [tex]\sf (\frac23+3)=\frac83[/tex]

[tex]\sf \implies \dfrac{-4+\frac83}{\frac13}[/tex]

Now carry out the operation in the numerator [tex]-4+\frac83=-\frac43[/tex]

[tex]\sf \implies \dfrac{-\frac43}{\frac13}[/tex]

Dividing by a fraction is the same as multiplying by the flipped version of the fraction (flipped = swap the numerator and denominator of the fraction we are dividing by):

[tex]\sf \implies -\dfrac43 \div \dfrac13=-\dfrac43 \times \dfrac31[/tex]

To multiply a fraction, simply multiply the numerators and multiply the denominators:

[tex]\sf \implies -\dfrac43 \times \dfrac31=\dfrac{-4 \times 3}{3 \times 1}=-\dfrac{12}{3}[/tex]

Finally simplify:

[tex]\sf \implies -\dfrac{12}{3}=-4[/tex]

Eight subtracted from four times a number is 84. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.

The equation is

B) Solve your equation in part [A] for
x
.

Answer:
x
=

Answers

Answer:

Hope the picture will help you

What is the area?
2 yd
8 yd
5 yd

Answers

Answer:

Step-by-step explanation:

I assume the polygon is a trapezoid with parallel bases of 2 yd and 5 yd, and an altitude of 8 yd.

area of trapezoid = (base1 + base2)h/2

area = (2 yd + 5 yd)(8 yd)/2

area = 28 yd²

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

Answers

Answer:

120 min

Step-by-step explanation:

step 1. divide 100% by 2.5 (=40)

step 2. 40 time 3 minutes = 120!

so by the time it gets to 120 minutes it 100% and guaranteed

Answer:

120 mn

Step-by-step explanation:

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

Use the long division method to find the result when 4x3 + 12x2 + 172 + 9 is
divided by x + 1.

Answers

Answer:

216

Step-by-step explanation:step 1

first you are going to multiply and add all of the things that need to be multipied and added

4x3=12

12x2=24

172+9= 181

^ 12+24+181= 217

second step: put 217 and x+1 in an equation

you cant divide a number with an x, so you have to put it in an equation and solve for x

x+1=217 ( subtract 1 to the other side of the = sigh. 217-1= 216)

x=216

A home builder needs to cover the rectangular floor of a closet with a carpet the closet is 2 yards long and 2/3 of a yard wide how much carpet will the home builder need to cover the closet?

Answers

Your Answer is 4 Yards

Step-by-step explanation:

2/3 yards is 2 feet

2 yards is 6 feet

2 times 6 feet is 12 foot e.g. (2 x 6 = 12)

12 feet is 4 yards.

Formula (L x W = A)

L = length

W = Width

A = Area

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Given that V=1,3,4,2 and W= 6,4,7,2 then VW is
Select one:
of
O 4
0 1,3,6,7
O 2
0 2,4

Answers

Answer:

2,4 possibly

Step-by-step explanation:

if its V (intersection) W

then its 2,4

if it has something to do with patterns then i dont know

Can someone help me with this question?

Answers

Step-by-step explanation:

hope it helps, I have chegg and they seem to have more answers and a lot of topics. you can scan your books bar code and get end of chapter questions

Write the linear inequality shown in the graph. The gray area represents the shaded region.

x > –3
y ≥ –3
y > –3
x ≥ –3

Answers

Answer:

y > –3

Step-by-step explanation:

by looking at the graph we notice that the (shaded/gray) area which we are focusing on covers all the values of x ,on the other hand it only covers the values of y which they are Greater than -3

Remark : y > -3 not y ≥ -3 because the line that separates the shaded region and the other one is a broken line.

Answer:

y > –3

Step-by-step explanation:

find the total area of cardboard used in making a matchbox, complete with the sliding portion, 4cm long, 2.5cm wide, and 1.2cm deep (ignore the thickness of the cardboard)

Answers

Answer: 55.2 cm^2

Step-by-step explanation:

2(4x2.5 + 2.5x1.2 + 1.2x4) = 35.6 cm^2

(2x1.2x4 + 4x2.5) = 19.6 cm^2

(35.6 + 19.6) = 55.2 cm^2

Solve: |2x+3|=2 CAN SOMEONE PLEASE EXPLAIN THIS TO ME!!!

Answers

Answer:

-1/2 or -5/2

Step-by-step explanation:

| | means the absolute value (distance from 0), so there is going to be a positive case and a negative case (distance from the negatives and distance from the positives).

POSITIVE CASE

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

NEGATIVE CASE

[tex]-(2x+3)=2\\-2x-3=2\\-2x=5\\x=-\frac{5}{2}[/tex]

So, your answer would be -1/2 or -5/2.

Step-by-step explanation:

after 4x^2+12x+5

do sum and product but I solved it directly through calculator

hope it helps

Una ayuda porfavor, lo necesito urgente, es algebra

Answers

Answer:

yes

Step-by-step explanation:

yessir I was at the game was going to the game was going to the game was good to go to the game was going to the game

helphelphelphelphelphelphelphelphelphelphelphelphelphelphelp

Answers

It would be the first one

Answer:

Its mass or size.

The amount possessed by an object directly upon the square of the speed. It increases the kinetic energy.

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

Step-by-step explanation:

c) To find slope, choose any two points.

(2,16) & (4 , 31)

[tex]\boxed{slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf =\dfrac{31-16}{4-2}\\\\=\dfrac{15}{2}=7.5[/tex]

The slope is 7.5, which means that Kobby's puppy gained 7.5 pounds a month for the first 6 months.

a) Equation of line in slope -intercept form: y = mx +b

[tex]y =\dfrac{15}{2}x+b[/tex]

Now, substitute the point (2 ,16) in the above equaiton and find the y-intercept b.

[tex]\sf 16 =\dfrac{15}{2}*2+b\\\\16=15+b\\\\16-15=b[/tex]

b = 1

Equation of the line:

[tex]y=\dfrac{15}{2}x+1[/tex]

b) y-intercept = 1

The y-intercept is 1, which means that Kobby'spuppy weighed 1 pound at birth

cos(theta)+1 / tan^2(theta) = cos(theta) / sec(theta) - 1

Answers

Hope it helpssss ..best of luck

I need help. Work has to be shown but i don’t know how to do them

Answers

Step-by-step explanation:

1% of 500 is 5 so multiply 5 by 8 for one year. which is 40 so multiply that by 2.

1% of 500 = 5

5 × 8 = 40

40 × 2 = 80

1% of 1000 = 10

10 × 5 = 50

50 × 3 = 150

12 months = 6%

6/12 = 1 month

0.5 = 1 month

0.5 × 9 = 4.5 (the amount of interest for 9 months.)

800 × 4.5% = 36

12 months = 7%

7/12 = 1 month ( i'll leave this in fraction form because of the decimal points.)

7/12 x 8 = 4.666667 or 4.7 rounded.

1200 × 4.7% = 56.40

Lily is $90\text{ cm}$ tall. If Anika is $\frac{4}{3}$ of the height of Lily, and Sadaf is $\frac{5}{4}$ of the height of Anika, how tall is Sadaf?

Answers

Answer:

your mom

u.w.u

lol

haha

study well

Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?

Answers

Step-by-step explanation:

1 kilowatt=1000 watt

tv watch time=4*30=120

the watt tv consume=120*150=18000

the kilowatt tv consume=18000/1000=18

electricity cost =10*18

180 cents

damita uses the pythagorean theorem to write the equation 2k² = j² to represent the triangle shown. Is she correct? Explain.

Answers

Answer:

Yes, She is correct.

Step-by-step explanation:

Pythagorean theorem:

base² + altitude² = hypotenuse²

k² + k² = j²

Add the like terms. Like terms have same variable with same power.

2k² = j²

How are genetic engineering and artificial selection different? (in your own words)

Answers

Artificial selection picks previously existing qualities by breeding individuals with favourable traits, whereas genetic engineering affects the genetic composition of plants or animals by adding new genes or silencing genes.

What is the answer for B

Answers

i can’t see anything on the thing bro

promoted an atmosphere of lawlessness and violence. ?

Solve the inequality 46 > y + 11

Answers

Answer:

Inequality Form:

y<35

Interval Notation:

(−∞,35)

Answer:

y is smaller than 34 or less

Step-by-step explanation:

put the 11 to the other side and make it a negative then you get 46-11=35 than it says 35>y

Use the Virtual Dice Roller and roll two dice three times (or grab a pair of dice at home!).

Record the sum of the two dice for each virtual roll.

The first virtual roll is how many work shirts you have in your closet.
The second roll is how many pairs of work pants you have in your closet.
The third roll is how many pairs of work shoes you have in your closet.
Calculate and explain how many different ways can you dress every morning. Show all calculations.

Answers

The simulation of the virtual dice roller illustrates combination and sample space

There are 36 different ways you can dress every morning

How to determine the number of ways of dressing?

The sample space of the two dice are:

Die 1 = {1,2,3,4,5,6}

Die 2 = {1,2,3,4,5,6}

From the above sample space, we have the sample size to be:

n(Die 1) = 6

n(Die 2) = 6

The sample size of the experiment would be:

n = n(Die 1) * n(Die 1)

Substitute known values

n = 6 * 6

Evaluate the product

n = 36

The above represents the different ways you can dress every morning.

Hence, there are 36 different ways you can dress every morning