If you cut 10 circles out of a rectangular board with an area of 64in2, what is the maximum area of each circle?

Angle COD is 60 degrees

angle BOC is 80 degrees

Because angle DOE is vertically opposite to angle boa, it is also 40 degrees. we know that angle DOF is 120, so angle FOE is 120-40 = 80 degree, and angle BOC is vertically opposite do it is 80 degrees.

since angle COD lies on a straight line it adds up to 180 degrees, so 180- 120 = 60 degrees

Answer:

(-3/2 or 1.5, 3/2 or 1.5)

x = -3/2 or -1.5

y = 3/2 or 1.5

Step-by-step explanation:

the midpoint formula is x1+x2/2 and then y1+y2/2 so -4 +1 = -3/2 for x. for y, 9 + -6 = 3/2. so the midpoint would be (-3/2 or 1.5, 3/2 or 1.5) depending on if you’re using decimals or fractions

The midpoint of VW is (-3/2,3/2).

The midpoint of a line divides a line segment into two equal parts and the point is called the midpoint.

According to the given question the endpoints of VW are V(-4,9) and W(1,-6) and we have to find midpoint of VW.

We know midpoint of x is (x₁+x₂)/2 and midpoint of y is (y₁+y₂)/2.

Here V is (x₁,y₁) = (-4,9) and W is (x₂,y₂) = (1,-6).

∴ Midpoint of x is

= (-4 + 1)/2

= -3/2.

AND

Midpoint of y is

= {9 + (-6)}/2

= 3/2.

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Answer:

165cm³

Step-by-step explanation:

30% of 550cm³=30/100 *550cm³=3*55cm³=165cm³

Solution,

5(t+2)-3(2t+1)=-2

or,5t+10-6t-3=-2

or,5t-6t+10-3=-2

or,-t+7=-2

or,-t=-2-7

or,-t=-9

t=9

Hope it helps

Good luck on your assignment

Answer:

[tex]t = 9[/tex]

Step-by-step explanation:

[tex]5(t + 2) - 3(2t + 1) = - 2 \\ 5t + 10 - 6t - 3 = - 2 \\ - t + 7 = - 2 \\ - t = - 2 - 7 \\ - t = - 9 \\ t = 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x^2 +25 + 2 = 2x^2 + 30

X^2 + 27 = 2X^2 + 30

       - 27              - 27

X^2 = 2X^2 + 3

-X^2 = 3

X = SQRT. - 3

Answer:

± sqrt(3) i =x

Step-by-step explanation:

x^2 +25 + 2 = 2x^2 + 30

Combine like terms

x^2 + 27 = 2x^2 +30

Subtract x^2 from each side

x^2 + 27 - x^2 = 2x^2 - x^2 +30

27 = x^2 +30

Subtract 30

27-30 = x^2

-3 = x^2

Taking the square root of each side

±sqrt(-3) = sqrt(x^2)

±sqrt(-3) =x

±sqrt(-1) sqrt(3) =x

We know the square root of -1 = i

± sqrt(3)i =x

Answer:

5/6

Step-by-step explanation:

first you simplify the fractions into 6's. why, because 6 is the common denominator for these two fractions

1/2= 3/6

1/3= 2/6

now you add 2/6 plus 3/6

Answer: 12.73 cm

Step-by-step explanation:

The clock will move in a circular motion

The radius if the circle is 7.6 cm

So circumference= 2πr

= 2×22/7×7.6

=47.75 cm

Degree covered in 16 minutes=

360/60×16

= 96°

Now, since distance covered in 1° =

47.75/360 = 0.133

Distance covered in 96° =

47.75/360×96 = 12.73 cm ( approx.)

Answer:

A. A moving company charges $65 per hour. They round minutes up to the next hour.

Step-by-step explanation:

Let's define

x: hours worked

C(x): cost charged

The step function will be:

C(x) = 65    0 ≤ x ≤ 1

C(x) = 130   1 < x ≤ 2

C(x) = 195   2 < x ≤ 3

and so on.

Answer:

43ft^2

Step-by-step explanation:

A=πr^2

A=π×3.7^2

A=π×13.69ft^2

A=43ft ^2

Plzz mark brianliest if it suit your question..

Answer:

1/5

Step-by-step explanation:

vowels are a,e,i,o,u

2/5 times 3/6

even numbers are 2,4,6

6/30= 1/5

Answer:

2/5 * 1/2 = 1/5

Step-by-step explanation:

The First Spinner there are 2 vowels out of the 5 making the first fraction 2/5

The Second Spinner has 3 even numbers making it 3/6.

With 3/6 we can simplify it to 1/2.

Then Multiply to determine the probability

Answer:

B) Point

Step-by-step explanation:

Lines have length because they extend forever in both directions. Rays extend forever in one direction. Line segments have length. A point does not have any dimension.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Answer:

Evaluate the terms inside of the parentheses

Step-by-step explanation:

According to PEMDAS, you always start solving an equation by answering what is inside of the parentheses first. (That's what the 'P' in PEMDAS stands for!)

Therefore, this is the correct answer.

Answer:

3.47, or B

Step-by-step explanation:

I'm weird so I did it a weird way and subtracted the total amount the book costed from the amount she has left and thats how we got how much more she needs.

8.35 - 4.88 =3.47

Answer:

B - 43

Step-by-step explanation:

The required measure of the angle m∠BDC is 43°.

Given that,

In the diagram, point O is the center of the circle, and m∠ADB = 43°. If m∠AOB = m∠BOC, what is m∠BDC is to be determined.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Property of circle -
                   "The angle subtended by an arc of the circle to the center point of the circle is double the angle subtended by the same arc on any point the circumference of the circle."

So,
From the above property,
Angle subtended by Arc AB at center or m∠AOB is 2 * 43 = 86°
From given  m∠AOB = m∠BOC,
Implies
m∠BOC = 86°
Angel subtended by arc BC at D is m∠BDC = m∠BOC /2
                                                                         = 86 /2
                                                                         = 43°

Thus, the required measure of the angle m∠BDC is 43°.

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Answer:

The correct option is C

(SEE THE ATTACHMENT)

Step-by-step explanation:

The question is unclear because the options given doesn't make any sense. We can consider the questions incomplete, After searching the internet, I found out what was the question and its options actually are. I hope it helps

(YOU CAN SEE THE ATTACHMENT BELOW)

Q) WHICH FORMULA SHOULD BE USED TO CALCULATE VARIANCE?

ANSWER)

We know that there are 2 types of variance, Population variance and sample variance. As in this question, we are considering all the values of the data to find variance. we'll find Population Variance. If we would considered only some values (sample) from the data (population), we would have considered to find sample variance.

Population Variance is given as sigma squared which is calculated by sum of square variables minus mean, divided by number of observation in population.

[tex]\sigma^2=\frac{\sum(x_i-\mu)^2}{N}[/tex]

which is represented by option C

Answer:

The data set on the right represents

✔ the population B

.

Which formula should be used to calculate the variance?

✔ C

What is the variance?

✔ 58.5

Answer:

F) 1.5

Step-by-step explanation:

10x = 15

Divide both sides by 10

10x/10 = 15/10

x = 1.5

Answer:

Option F

Step-by-step explanation:

=> 10x = 15

Dividing both sides by 10

=> x = 1.5

Answer:

30 minutes

Step-by-step explanation:

First, you need to find the amount of time it takes to cook one egg. To do this, you do 16/8 to get 2 minutes per egg. Then, since you need to cook 15 eggs, you do 15 times 2 to find the total amount of time to cook. You should get 30.

Answer:

The depreciation fee is the difference between the initial value of the car and its estimated resell value at the end of the lease term. In this case, the depreciation fee is $13,000 - $7,683 = $5,317.

To calculate the monthly payment on the lease, you would need to know the length of the lease in months, the interest rate, and the depreciation fee. You can then use the following formula to calculate the monthly payment:

Monthly payment = (Interest rate / 12) x (Initial value - Resell value) / Length of lease in months

For example, if the length of the lease is 36 months, the monthly payment would be:

Monthly payment = (5.1% / 12) x ($13,000 - $7,683) / 36 months = $114.78

Keep in mind that this is just an example calculation and the actual monthly payment on Susie's lease may be different depending on the specific terms of the lease agreement.

Step-by-step explanation:

Answer:

[tex]4\cos x\cos (4x)\cos (2x)[/tex]

Step-by-step explanation:

Given: [tex]cosx + cos3x + cos5x + cos7x[/tex]

To convert: the given sum into product

Solution:

Use formula: [tex]\cos A+\cos B=2\cos \left ( \frac{A+B}{2} \right )\cos \left ( \frac{A-B}{2} \right )[/tex]

[tex]cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos (2x)\cos (-x)+2\cos (6x)\cos (-x)\\=2\cos (2x)\cos (x)+2\cos (6x)\cos (x)\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ][/tex]

[tex]cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]\\=2\cos x\left [2 \cos \left ( \frac{2x+6x}{2} \right )\cos \left ( \frac{2x-6x}{2} \right ) \right ]\\=2\cos x\left [ 2\cos (4x) \cos (-2x) \right ]\\=4\cos x\cos (4x)\cos (2x)[/tex]

AB have a 90° angle with BC, so the angles ABD + CBD = 90

(7x - 9)° + 4x° = 90°

7x + 4x = 90 + 9

11x = 99

x = 99/11

x = 9

So the angles are:

7x - 9 -> 7.9 - 9 = 54°

4.9 = 36°

Answer:

m<CBD equals 54

Step-by-step explanation:

Since that is a right angle do (7x-9)+(4x)=90

=11x-9=90

=11x=99

x=9

CBD=7x-9

7(9)-9=54

Hope this helps

Answer:

Factors of kmn are 1, k, m, n, km, mn, kn and kmn

Step-by-step explanation:

Given: k, m, and n are prime numbers

To find: factors of k∙m∙n

Solution:

A number is said to be prime if it has exactly two factors: 1 and the number itself

x is said to be a factor of y if x can divide y exactly.

Here,

1 can divide kmn

k can divide kmn

m can divide kmn

n can divide kmn

km can divide kmn

kn can divide kmn

mn can divide kmn

kmn can divide kmn

So, factors of kmn are 1, k, m, n, km, mn, kn and kmn

Answer:

A

Step-by-step explanation:

[tex]x^2-2x+2=0[/tex]

Plugging this into the quadratic formula:

[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}=\dfrac{2\pm 2i}{2}= 1\pm i[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

Luke's kite is 306.4 feet high above the ground

Step-by-step explanation:

To find the height of Luke's kite above the ground, we will follow the steps below:

We can solve the problem using trigonometric ratio;

that is;

SOH CAH TOA

sinФ = opposite/hypotenuse

cosФ= adjacent/hypotenuse

tanФ=opposite/adjacent

From the diagram below:

opposite = x   where x represents the height of Luke's kite above the ground

hypotenuse = 400

Ф = 50

The best trig ratio to use is sin

sinФ = opposite / hypotenuse

sin 50° = [tex]\frac{X}{400}[/tex]

cross-multiply

x = 400 sin 50°

x≈306 .4 feet

Luke's kite is 306.4 feet high above the ground

Answer:

Option B, the minimum monthly payments will be LOWER

Step-by-step explanation:

We can proof this by using hypothetical scenario below:

John has $1,500  with APR of 10% payable in 48 month equal instalment

Timmy has $1,500  with APR of 8% payable in 48 month equal instalment

Let us calculate monthly payment in each case

=pmt(rate,nper,-pv,fv)

rate is the monthly rate which APR/12

nper is 48

pv is the balance on the card which is $1,500

fv is the total monthly repayment which is unknown

John monthly payment=pmt(10%/12,48,-1500,0)=$38.04  

Timmy monthly payment=pmt(8%/12,48,-1500,0)=$ 36.62  

Since Timmy with a lower APR has a lower monthly payment, option B is correct

Answer:

D SORRY IF WRONG

Step-by-step explanation:

Answer:

D is the correct answer