AB is tangent to the circle at B. M∠A = 27 and mBC=114 (The figure is not drawn to scale.)

Answer:

A

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan12° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{44}[/tex] ( multiply both sides by 44 )

44 × tan12° = AC , then

AC ≈ 9.35 ( to 2 dec. places )

9514 1404 393

Answer:

  3

Step-by-step explanation:

1/3 of 1/9 of 81 is ...

  81×1/9×1/3 = 9×1/3 = 3

Michelle was allowed to plant 3 seeds.

[tex]\\ \large\sf\longmapsto x + 15 = 2x - 40 \\ \\ \large\sf\longmapsto x - 2x = - 40 - 15 \\ \\ \large\sf\longmapsto - x = - 55\\ \large\sf\longmapsto x = 55[/tex]

The value of x is 55 degrees.

A rhombus is a diamond-shaped quadrilateral that has all four sides equal

The properties of a rhombus are:

According to the given question.

We have a rhombus.

Since, we know that the diagonals of the rhombus bisect the angles.

Therefore,

[tex](x+15)^{o} = (2x-40)^{o}[/tex]

Solve, the above expression for x.

[tex]\implies x +15 = 2x -40\\\implies 15+40 = 2x -x \\\implies 55 = x \\0r\ x = 55^{o}[/tex]

Hence, the value of x is 55 degrees.

Find out more information about rhombus here:

https://brainly.com/question/12189679

#SPJ2

Answer:

c.

Step-by-step explanation:

Answer:

0.0000033cm^3

Step-by-step explanation:

V=1/3hπr²

r=10

h=81

V=1/3×81×(22÷7)×20^2

V=1/305,208

V=0.0000033cm^3

Answer:

1. Degree = 1, monomial

2. Degree = 2, monomial

3. degree = 2, trinomial

4. Degree = 2, binomial

5. Degree  = 2, binomial

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

We know that the mean of 6 numbers is 24. This means that

[tex] \frac{x}{6} = 24[/tex]

Solve for x.

[tex]x = 144[/tex]

If we add, x, (x+2), and (x-2). We will have 9 terms. The value of mean will change to 30. This also means that

[tex] \frac{270}{9} = 30[/tex]

[tex]144 + x + (x + 2) + (x - 2) = 270[/tex]

[tex]3x + 144 = 270[/tex]

[tex]3x = 126[/tex]

[tex]x = 42[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Part A: All of the coefficients have a common factor of 3. All of the variable products have a common factor of y, so the greatest common factor of all terms is 3y. The expression can be written as ...

  (3y)(2x^2 -1x -8xy +4y)

__

Part B: The remaining factor can be factored pairwise:

  3y(x(2x -1) -4y(2x -1)) = 3y(x -4y)(2x -1)

Taking into account the definition of axis of simmetry and vertexn the axis of symmetry is x = 5.

So, first of all, you must know what a quadratic function is. Every quadratic function can be expressed as follows:

f(x) = a*x² + b*x + c

where a, b and c are real numbers.

The graph of a quadratic function is a parabola. Every parabola is a symmetric curve with respect to a horizontal line called the axis of symmetry.

That is, the axis of symmetry is an imaginary line that passes through the middle of the parabola and divides it into two halves that are equal of each other.

In other words, the axis of symmetry of a parabola is a vertical line that divides the parabola into two equal halves and always passes through the vertex of the parabola.

The point of intersection of the axis of symmetry with the parabola is called the vertex.

The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Being the vertex of the quadratic function (5,7), where the vertex on the x-axis has a value of 5 and on the y-axis a value of 7, the axis of symmetry is x = 5.

Learn more with this examples:

Bola will be 8 years old.

Let Bola's age be x

Dada's age be y

Ayo's age be z

If the sum of ages of Bola, Dada, and Ayo is 32 years, then;

x + y + z = 32

If they share a sum of money in the ratio of their ages, then the ratio of their ages will be x: y: z

Also if Bola gets N400, Dada get-N400 and Ayo get N800, then the total amount of money shared will be expressed as:

T = 400 + 400 + 800

T = N1600

Next is to get the age of Bola

[tex]\frac{age \ of \ bola}{32}* Total \ amount \ shared = Bola's \ Share[/tex]

Substitute the required variables and values into the formula;

[tex]\frac{x}{32}*1600= 400\\50x=400\\x=\frac{400}{50}\\x=8[/tex]

This shows that Bola is 8 years old

Learn more on ratio here: https://brainly.com/question/19473677

Answer:

it's 90

Step-by-step explanation:

inscribed angle intercepts a semicircle is always 90

Answer:

626949

Step-by-step explanation:

Answer:

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Let Clarissa has left $x amount spend for month. Hence,$272 left from her budget spend for month.

Step-by-step explanation:

Area ABC=1/2ab×sin C

=1/2 ×20×10 ×Sin C

Sin C =100

Answer:

19.92

Step-by-step explanation:

To overfill 5% of the time ;

The Zscore (value) to the left of (1 - 0.05) = 0.95 is 1.645

Using this Zscore value with the Zscore formula :

Zscore = (x - μ) / σ

σ = 0.05 ; x = 20 ounce

Substituting into the Zscore formula :

1.645 = (20 - μ) / 0.05

1.645*0.05 = 20 - μ

0.08225 = 20 - μ

μ = 20 - 0.08225

μ = 19.91775

μ = 19.92

Answer:

Where is the question?

Step-by-step explanation:

Python is an interpreted high-level general-purpose programming language. Python's design philosophy emphasizes code readability with its notable use of significant indentation.

=ac-b(cosc-ccosa)

=sinc/sina

The answer is A and D

good luck

Answer:

30 in²

Step-by-step explanation:

Parallelogram height is,

6/2 (since it's a 30°-60°-90° triangle)

= 3

Area = base × height

= 10×3 in²

= 30 in²

Answered by GAUTHMATH

Answer:

6

Step-by-step explanation:

because the equation above says p+p+p+p+p+p+5+1+1

so if we add up the p's it will give us 6p and if we add up the nos it will give us 6p+7

Answer:

24 men will take 3 days to dig a 72 meter trench.

Step-by-step explanation:

If 16 workers dig an 80-meter long trench in five days, how long will it take 24 workers to dig a 72-meter long trench?

If 16 workers take 5 days to dig an 80 meter long trench,

24 workers will definitely take lesser time to dig a 72 meter long trench as both the length of the trench and the number of workers is more

Lets write these values down in order: Number of Workers, Length of Trench, Number of Days:

16 80 5

24 72 ?

Lets represent the ? as x:

We know that Ratio of Trench length to men = 80/16 : 72/24 or 5 : 3

Which means that the first set (16 men) will take 5 days to dig a trench of 80 meters.

And therefore from the above ratio (5: 3), 24 men will take 3 days to dig a 72 meter trench.

HOPE IT WILL DEFINITELY HELP YOU

9514 1404 393

Answer:

  a) 300 square units

  b) 260 square units

  c) 264 square units

Step-by-step explanation:

The total surface area of a triangular prism is the sum of the areas of its 5 faces. Two of those are triangles (the bases), and three are rectangles. The area of an individual triangle is A = 1/2bh, but the area of the two of them together will be simply A = bh.

The area of the three rectangular faces is the sum of the products of the height of the prism and the edge length of each face. Then the sum of these products can be computed as the product of the height and the perimeter of the base.

These repetitive calculations are nicely done by a spreadsheet loaded with the appropriate formulas. Areas are all in "square units." (For problem 3, the units are centimeters.)

Example: (2a)

Base area = 5×12 = 60 . . . . combined area of both bases

Lateral area = (5 +12 +13)(8) = 30×8 = 240

Total surface area = 60 + 240 = 300 . . . . square units

Answer:

2. a. 300 units²

b. 260 units²

c. 264 units²

Step-by-step explanation:

2. a. Surface area of triangular prism = bh + (s1 + s2 + s3)*H

Where,

b = 12

h = 5

s1 = 13

s2 = 12

s3 = 5

H = 8

Plug in the values into the formula

Surface area of triangular prism = 12*5 + (13 + 12 + 5)*8

= 60 + (30)*8

= 60 + 240

Surface area = 300 units²

b. Surface area of triangular prism = bh + (s1 + s2 + s3)*H

Where,

b = 11

h = 3

s1 = 11

s2 = 5

s3 = 6.7

H = 10

Plug in the values into the formula

Surface area of triangular prism = 11*3 + (11 + 5 + 6.7)*10

= 33 + (22.7)*10

= 33 + 227

Surface area = 260 units²

c. Surface area of triangular prism = bh + (s1 + s2 + s3)*H

Where,

b = 6

h = 8

s1 = 10

s2 = 6

s3 = 8

H = 9

Plug in the values into the formula

Surface area of triangular prism = 6*8 + (10 + 6 + 8)*9

= 48 + (24)*9

= 48 + 216

Surface area = 264 units²

Answer:

f(x) = 16*0.75^x

Step-by-step explanation:

first off let's use this coordinate (the one given) :

(0,16)

let's substitute this into the equation with x being 0 and f(x) being 16

16 = a*b^0

*anything to the power of 0 is 1*

so:

a = 16

now use the second coordinate :

(1,12)

and do the same by substituting 1 for x and 12 for f(x), we also know what 'a' is:

12 = 16*b^1

12 = 16 * b

b = 3/4

so :

f(x) = 16*0.75^x

Answer:

f(x) = 16(.75)^x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

29.1 Is the answer for 2009

Step-by-step explanation:

Answer:

C=6cm

D=3cm

Step-by-step explanation:

C=6×6cm

36cm

D=3×3cm

=9cm

Answer:

There are four ways to represent an inequality: Equation notation, set notation, interval notation, and solution graph.

Answer:

a=40+8pi, p=4pi+4(sqrt of 29)

Step-by-step explanation:

rsm geometry class 122?

Answer:

see it

Step-by-step explanation: