The two circle pictured above represent two congruent circles.
True
or
False

Answer:

Yes, because the two triangles share common segments.

Answer:

f=(x^2/2)+(9x/2)

Step-by-step explanation:

Answer:

$125

Step-by-step explanation:

20 is 16% of what number?

20 = .16n

n = 20/.16 = 125

Answer:

x = 0.375

it is already rounded to the nearest thousandth.

Answer:

$24272.62

Step-by-step explanation:

Given data

Principal= $10,000

Rate= 3%

Time = 30 years

The expression for the compound interest is given as

A= P(1+r)^t

Substitute

A=10000(1+0.03)^30

A=10000(1.03)^30

A=10000*2.4272

A= 24272.62

Hence the final Amount A=$24272.62

Answer:

(a) 60.45 m2.

(b) 332.475 m^3.

Step-by-step explanation:

(a) area =  length * width

= 9750 * 6200

= 60450000 mm^2

There are 1000*1000 = 1,000,000 mm^2 in 1 m^2 so the area in m^2

= 60.45 m^2.

(b) The height in meters is 5500 / 1000 = 5.5 m

Volume = area of floor * height

= 60.45 * 5.5

= 332.475 m^3.

Answer:

80/320

Step-by-step explanation:

answer is given

The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)

Sum of all the interior angles of a triangle is 180°.

So a equation can be made by the given data,

(x-40°) + (x-20°) + (½ x-10°) = 180°

x-40°+x-20°+½x-10° = 180°

2x+½x -60°-10° = 180°

5/2 x - 70° = 180°

5/2 x = 180° + 70°

5/2 x = 250°

x = 250° × 2/5

x = 50° × 2

x = 100°

So the angles are

x-40° = 100°-40° = 60°

x-20° = 100°–20° = 80°

½x-10° = ½(100)° - 10° = 50° -10° = 40°

The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.

60° + 80° + 40° = 100° + 80° = 180°

Answer:

1 quarts of red paint

2.4 quarts of blue paint

Step-by-step explanation:

Let :

a = quarts of blue paint

b = quarts of red paint

a + b = 3 2/5

a + b = 3.4 - - - (1)

Ratio of a and b :

a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4

a/b = 2.4

a = 2.4b - - (2)

From (1)

2.4b + b = 3.4

3.4b = 3.4

b = 1

a + b = 3.4

a + 1 = 3.4

a = 3.4 - 1

a = 2.4

Answer:

1 1/12inches

Step-by-step explanation:

Given

Length = 1/6 inches

Width = 3/8 inches

Perimeter of the rectangle = 2 (Length + Width)

substitute

P = 2(1/6 + 3/8)

P = 2(4+9/24)

P=  2(13/24)

P = 26/24

P = 1 2/24

P = 1 1/12inches

hence the perimeter of the triangle is 1 1/12inches

Answer:

the answer is 62.5/5=12.5

Answer:

12.5

Step-by-step explanation:

62.50 ÷ 5 = 12.5

Hope this helps!

Answer:

The tree is 12 yards tall

Step-by-step explanation:

r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root

Answer:

1697.2 <3

i got it right

Answer:

3/5.

Since the numerator is an even number, you can simply remove half of it.

Answer:

150.9

Step-by-step explanation:

2/3x=100.6

x=100.6/(2/3)

x=100.6(3/2)

x=150.9

Answer:

It is answer B

Step-by-step explanation:

Answer:

Step-by-step explanation:

It x=2

Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

Answer:

6x6x6, 3x3x3x3x3x3, 216

Step-by-step explanation:

6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.

Answer:

Option D

Step-by-step explanation:

For addition we move right on the number line and for subtraction we move left.

So, (-7) represents a 7 units to the left from the zero.

Then move 10 units right from (-7),

Therefore, (-7) + 10 = 3

Or (-7) - (-10) = 3

Option D is the correct option.

Answer:

The given line has slope m=1

the perpendicular line MUST have slope -1

Since it MUST eat (-3,2), the intercept formula says

B = y - mx = 2 - (-1)(-3)  = 2 - 3 = -1

so the equation of the perpendicular line that eats point W is

y = -x -1

The lines y=x+3 and it's perpendicular y = -x-1 intersect at

  y = x+3 = -x-1

   2x+3 = -1

  2x = -4

  x = -2

THe intersection point is

(-2,1)

Finally by distance formula,

The distance between (-3,2) and (-2,1) is

 sqrt ( (-3 - -2)^2 + ( 2-1)^2)

= sqrt( (-3 + 2)^2 + (2-1)^2)

 = sqrt( (-1)^2 + 1^2)

  = sqrt ( 1+1)

 = sqrt(2)

Step-by-step explanation:

The distance between line l and the point E (-7, 0) will be;

D = 3.

What is distance between point and line?

The distance between a line ax + by + c = 0 and point (p, q) will be;

D = |ap + bq + c|/√a² + b²

Given that;

Equation of line;

y = -3

And, Point = E (- 7, 0)

Hence, The distance between a line and point is calculated as;

Equation of line;

y = -3

y + 3 = 0

Compare with ax + by + c = 0, we get;

a = 0, b = 1 and c = 3

And, Point = (p, q) = (-7, 0)

Thus, The distance between a line and point is;

D = |0 + 0 + 3|/√0+1

D = 3

So, The distance between line l and the point E (-7, 0) will be;

D = 3.

Learn more about the equation of line visit:

https://brainly.com/question/24656140

#SPJ2

Answer:

JN = 18.6

Step-by-step explanation:

Theorem:  The length of the midsegment of a trapezoid is the average of the bases.

[tex]JN = \frac{15.4 + 21.8}{2}[/tex]

       [tex]= \frac{37.2}{2}[/tex]

       = 18.6

See how easy that is when you know the theorem.

Answer:

[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]

Step-by-step explanation:

[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]

Answer: 12

Step-by-step explanation:

Given

The probability of getting yellow color is 0.24

If the no of trials is 50

[tex]\text{No. of times yellow color shown(N) is}=p\times \text{no of trails}\\\Rightarrow N=0.24\times 50=12\ \text{times}[/tex]

Yellow color appears 12 times

Answer:

A= $1406

Step-by-step explanation:

The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.

Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).

Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!

Your final answer should be $1406, otherwise you did something wrong! XD!

Mean is the average.

10 x 5 = 50

All 5 numbers need to add up to 50.

Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.

Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)

4 +3 = 7

14+16 = 30

1 set could be 3, 4 ,13, 14, 16

A 2nd set could be:

1 +2 = 3

16 + 18 = 34

1,2,13,16,18