Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice?

Answer:

3.72

(its not rounded I just calculated it and got that, hope it helps:)

Answer:

The inverse is 5/(2-x)

Step-by-step explanation:

Firstly, let us represent the inverse as y

thus;

y = (2x+ 1)/x-4

y(x-4) = 2x + 1

xy - 4 = 2x + 1

2x - xy = -4-1

2x-xy = -5

x(2-y) = 5

x = 5/2-y

Now, switch the alphabets again

y = 5/(2-x)

A ' (4,0)

B ' (6,3)

C ' (3,4)

================================================

Explanation:

I'm assuming the center of dilation is the origin.

If so, then we multiply the scale factor 1/4 = 0.25 by each of the coordinates of the three points.

Point A(16,0) will move to A ' (4,0) since

Point B(24,12) will move to B ' (6,3) since

We have enough information to see that choice B is the final answer

If you wanted to keep going, then point C(12,16) will move to C ' (3,4) for similar reasoning/steps as the previous two points.

The resulting image triangle A'B'C' will have its side lengths 1/4 of that compared to the side lengths of the preimage triangle ABC.

The scale factor k is such that 0 < k < 1, which indicates the image will be smaller compared to the preimage. If k > 1, then the image would have been larger than the preimage.

Answhver:khglujlihluf

Step-by-step explanation:

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

Answer:

8x8x8x8

Step-by-step explanation:

Answer:

452tan37=341km

nearest km

Step-by-step explanation:

please mark me brainliest

Answer

option C (60 degrees)

Step-by-step explanation:

solution attached in the picture

Answer:

15

Step-by-step explanation:

The equation of the parallel line is y = x + 17.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We are given that;

The table of line

Now,

The given line is shown in blue on the graph. We can see that it passes through two points: (0, 3) and (4, 7). We can use these points to find the slope of the given line:

m = (y2 - y1) / (x2 - x1)

m = (7 - 3) / (4 - 0)

m = 4 / 4

m = 1

The slope of the parallel line is also 1, since parallel lines have the same slope.

The point P is shown in red on the graph. We can see that its coordinates are (-8, 9). We can use this point and the slope to find the equation of the parallel line. We can use either slope-intercept form or point-slope form. We will use point-slope form here:

y - y1 = m(x - x1)

y - 9 = 1(x - (-8))

y - 9 = x + 8

y = x + 17

Therefore, by the given slope the answer will be y = x + 17.

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Answer:

y = 2x - 5

Step-by-step explanation:

Slope intercept form: y = mx + c

3y - 6x = -15

3y = 6x - 15

[tex]\frac{3y}{3}=\frac{6x}{3} -\frac{15}{3}\\\\y =2x - 5[/tex]

Answer:

0.25

Step-by-step explanation:

1) the probability for Spinner-1 is:

1/3;

2) the probability for the Spinner-2 is:

3/4;

3) the required probability for the Spinner-1 and the Spinner-2 is (should be used the rule logical 'AND'):

1/3 * 3/4 = 1/4=0.25

Answer:

9800 Fish

Step-by-step explanation:

According to The question,

The number of fish ten years before is [tex]10094 * \frac{100}{103}[/tex] ⇔ 9800 fish

Answer:

9800 Fish

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

1. 1 1/99 miles per hour

Answer:

Radius

Step-by-step explanation:

Any segment with one endpoint at the center of the circle and the other endpoint on the circle is the radius. This information is very important, because when you want to find the area of a circle you multiply the radius by itself twice then multiply that by pi. The diameter (second option) is a segment where one endpoint is on the circle and the other endpoint is on the other side of the circle. The diameter is twice the radius. Good luck!

Answer:

x = 104

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

24+x = 128

Subtract 24 from each side

24+x-24 =128 -24

x =104

Answer:

Angle A = 41, Arc CE = 42, Angle C = 41, Angle D = 40, Angle ABE = 61

Step-by-step explanation:

Angle A = Arc BD/2  (Inscribed Angle)

Angle A = 82/2

Angle A = 41

Arc CE = 2 x Angle CEB (Inscribed Angle)

Arc CE = 2 x 21

Arc CE = 42

Angle C = Arc BD/2 (Inscribed Angle)

Angle C = 82/2

Angle C = 41

Angle D = Arc AC/2  (Inscribed Angle)

Angle D = 80/2

Angle D = 40

Angle ABE = Arc AE/2

Angle ABE = Arc AC + Arc CE/2

Angle ABE = 122/2

Angle ABE = 61

m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.

a. m < A = [tex]\frac{1}{2}[/tex] mBD

= [tex]\frac{1}{2}[/tex] × [tex]78^{0}[/tex]

= [tex]39^{0}[/tex]

b. mCE = 2m < CBE

= 2 × [tex]20^{0}[/tex]

= [tex]40^{0}[/tex]

c. m < c = m < A = [tex]39^{0}[/tex]

d. m < D = [tex]\frac{1}{2}[/tex] mAC

= [tex]\frac{1}{2}[/tex] × [tex]74^{0}[/tex]

= [tex]37^{0}[/tex]

e. m < ABE = [tex]\frac{1}{2}[/tex] mAC + [tex]\frac{1}{2}[/tex] mCE

= [tex]37^{0}[/tex] + [tex]20^{0}[/tex]

= [tex]57^{0}[/tex]

Hence, m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

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Answer:

54:2 = 27:1

Step-by-step explanation:

54:2 use as fraction 54/2 then divide

Answer:

Step-by-step explanation:

x = 10sqrt(2)*cos(60) = 5sqrt(2) = 7.07 approx.

y = 10sqrt(2)*sin(60) = 10sqrt(2)*sqrt(3)/2 = 5sqrt(6)=12.25 approx.

Answer:

-5i is the imaginary portion

Step-by-step explanation:

a+bi

a is the real part  bi is the imaginary part

-5i is the imaginary portion

Answer:

3260 is the ratio of two similar trapizoids

Answer:

7:3

Step-by-step explanation:

(Ratio of perimeter)^2 = ratio of area.

Therefore

ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3

Answer: Its 5.71%

Step-by-step explanation:

2/35*100=5.71

9514 1404 393

Answer:

  No

Step-by-step explanation:

The ratios of triangle side lengths are ...

  4 : 6 : 8 = 2 : 3 : 4

This is an arithmetic progression.

The only arithmetic progression of side lengths that makes a right triangle is ...

  3 : 4 : 5

The triangle is not a right triangle, so AB is not a tangent.

Answer:ak

Step-by-step explanation:

Step-by-step explanation:

Y=kx+b

If m=1/k

Y=-5/3x+b

I don't know what your m means

So I can only write like this.

Answer:

The first chocie  (0,3), (1,6), (2,9)

Step-by-step explanation:

Just plug each point into the equation and see if it is correct.

y-3 = 3x

for (0,3) -->   3-3=3(0) -->0 = 0   true

for (1,6) -->  6-3 = 3(1) -->   3=3   true

fpr (2,9) -->9-3 = 3(2) -->  6=6   true

9514 1404 393

Answer:

  (b)  27

Step-by-step explanation:

It appears as though we're to assume that KM is a diameter, through circle center point N. That makes triangle KLM a right triangle, so angle K is the complement of angle M.

  ∠K = 180° -63° = 27°

Answer:

Purchase rate = 553.18 U.S dollar

Selling rate = 547.90 U.S dollars

Step-by-step explanation:

Purchase rate

1 U.S. dollar = NRs.103.72

Selling rate

1 U.S. dollar = NRs.104.32

How many American dollar can be exchanged withNRs.57, 376

Purchase rate

1 U.S. dollar = NRs.103.72

Amount of U.S. dollar = NRs.57, 376 / NRs.103.72

= 553.18164288468

Approximately

553.18 U.S dollar

Purchase rate = 553.18 U.S dollar

Selling rate

1 U.S. dollar = NRs.104.32

Amount of U.S. dollar = NRs.57, 376 / NRs. 104.32

= 547.89915966386

Approximately,

547.90 U.S dollars

Selling rate = 547.90 U.S dollars

Answer:

271 prints.

Step-by-step explanation:

So to answer the question, we need to first write a formula to find the answer.

We know that the starting price per month is 6.95 dollars.

The full price is 17.79 dollars.

So we can start this off by writing:

17.79=6.95

Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:

17.79=6.95+0.04p

6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.

These two values combined make 17.79, hense why it is on the opposite side of the equals sign.

So, now we need to find how many papers, p, were printed.

To find this, lets just take our equation, and solve for P like an ordinary problem:

17.79=6.95+0.04p

So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.

Now we have:

10.84=0.04p

Now, we could divide both sides by 0.04.

But remember, the whole point of doing this is to make 0.04p into 1p.

So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.

So lets multiply both sides by 25:

10.84*25 is 271.

Since 10*25 is 250

And

.84*25 is 21.

So now we know:

271=1p

So 271 is your answer!

Hope this helps!

The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.

An equation is an expression that shows the relationship between two or more numbers and variables.

We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:

Total cost = Monthly fee + Cost per print x Number of prints

Using the values given in the problem:

$17.79 = $6.95 + $0.04p

To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:

$10.84 = $0.04p

Then, we can divide both sides by $0.04:

p = 271

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