What is the area of the shape?

Answer and explanation:

Take the area formula:

A = L * W

Then manipulate it to fit the context of which unknown you are finding:

Problem 1

[tex]\dfrac{36 = 4 * W}{4}[/tex]

[tex]9 = W[/tex]

So, the length of side c is 9 mm.

Problem 2

[tex]\dfrac{21 = W * 21}{21}[/tex]

[tex]1 = W[/tex]

So, the length of side a is 1 m.

Problem 3

[tex]\dfrac{49 = 7 * W}{7}[/tex]

[tex]7=W[/tex]

So, the length of side t is 7 cm.

Answer:

50 degrees

Step-by-step explanation:

the attached photo might help

Area of triangle:-

Area of rectangle (Including semicircle)

Area of semicircle

TOTAL area:-

Answer:

231.48 cm²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.

Area of the rectangle:

= 12 x 21

= 252 cm²

Area of the semicircle:

= 1/2 π(12 ÷ 2)²

= 1/2 · 3.14 · 6²

= 1/2 · 3.14 · 36

= 56.52 cm²

Area of the triangle:

= 1/2 x 6 x 12

= 36 cm²

Shaded area:

= area of rectangle - area of semicircle + area of triangle

= 252 - 56.52 + 36

= 194.48 + 36

= 231.48 cm²

Answer:

2.3% is the percentage of the Salary

Step-by-step explanation:

Answer:

x=4, y=9

Step-by-step explanation:

Solve with substitution.

Answer:

139 degrees

Step-by-step explanation:

The sum of the interior angles of a polygon :

sum = ( n-2) * 180      where n = number of sides

For this one there are 5 sides

    so  ( 5-2) * 180 = 540 degrees

angle U = 90 degrees

90  + 82  + Y  + 121 + 108 = 540         Y=139  degrees

Answer:

It is C. 139

Step-by-step explanation:

Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees

V=90+28=118 degrees

152+118=270 degrees

270+311=581

720-581=139 degrees

The answer is C. 139 degrees

Answer:

1 solution

Step-by-step explanation:

3(2x-7)=9

dustribute: (3)(2)+(3)(-7x)=9

6+-21x=9

subtract 6 from both sides: -21x=3

Divide both sides by -21: x=-1/7

so your 1 solution is x = - 1/7

The answer is B

seeing there are 3 way to put it

(a+b)(a-b)=a 2-b 2

(a+b)(a-b)=a^2-b^2

(a+b)(a-b)=a2-b2

and option B matches with the second way to put it i hope this helps

Answer:

1.9

Step by step answer

step1 finding the mean

(7+4+7+7+2+10+12+8+7+5)/10 = 6.9

step2 Difference between each data

Difference between 7 and 6.9 is 0.1

Difference between 4 and 6.9 is 2.9

Difference between 7 and 6.9 is 0.1

Difference between 7 and 6.9 is 0.1

Difference between 2 and 6.9 is 4.9

Difference between 10 and 6.9 is 3.1

Difference between 12 and 6.9 is 5.1

Difference between 8 and 6.9 is 1.1

Difference between 7 and 6.9 is 0.1

Difference between 5 and 6.9 is 1.9

step3 add all the Difference

0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4

step4 divde it by n

19.4/10 = 1.9

so the answer is 1.9

Answer:

5

Step-by-step explanation:

Simplification:

[tex]\sqrt{2^3-7} + |-4|[/tex]

[tex]\sqrt{1} + 4[/tex]

1 + 4

5

Answer:

50 - 4x = 154;

Step-by-step explanation:

50 - 4x = 154

154 - 50 = 104

104 / 4 = 26

x = 26

Answer:

Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}

= 6

Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}

=4

P( A is besides C)= 4/6

Answer:

(0,0)

Step-by-step explanation:

x value of vertex = -b/2a

ax^2+bx+c

-2x^2+0x+0 sinc you have no value of b & c in your quadratic function

-b = 0

2a = (2)(-2)

-b/2a = (0/-4) = 0

x value of the vertex = 0

plug 0 in for all values of x in the function to find y coordinate value

-2(0)^2 = 0

(x,y) = (0,0)

Answer:

[tex]x= \dfrac 45[/tex]

Step by step explanation:

[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]

9 m length and 5m width.

perimeter

perimeter of rectangle= l+l+b+b

= 9+9+5+5

= 28m

Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓

15=3/8x (let x be the number)

Multiply by 8 on both sides to get rid of the fraction :

15*8=3x

120=3x

divide by 40 on both sides ↓

40=x

hope helpful ~

Answer:

-a^2-a+12

Step-by-step explanation:

Answer:

Option C.

[tex]-a^{2}-a+12[/tex]

Step-by-step explanation:

1.  Distributive multiply

[tex]-a*(a+4)+3*(a+4)[/tex]

2.  Distributive multiply

[tex]-a*a-a*4+3*(a+4)[/tex]

3.  Multiply terms to exponential form

[tex](-1) *a^{2}-a*4+3*(a+4)[/tex]

4.  Multiply constants

[tex]-a^{2}-4*a+3*(a+4)[/tex]

5.  Distributive multiply

[tex]-a^{2}-4a+(3*a+3*4)[/tex]

6.  Multiply constants

[tex]-a^{2}-4a+(3a+12)[/tex]

7.  Reorder terms

[tex]-a^{2} -4a+(12+3a)[/tex]

8.  Add terms

[tex]-a^{2}-a+12[/tex]

Answer:

D no. is for sure another I also don't know. So sorry.......

Answer:

  112.30 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...

  Tan = Opposite/Adjacent

  tan(66°) = height/(50 ft)

Solving for the height gives ...

  height = (50 ft)tan(66°) ≈ 112.30 ft

The height of the building is about 112.30 feet.

Answer: x>2

Step-by-step explanation:

[tex]4x+\frac{1}{2} (2x+4) > 12[/tex]

Step 1: Simplify both sides of the inequality through the Distributive Property

[tex]4x+\frac{1}{2} (2x+4) > 12\\4x+(\frac{1}{2})(2x)+(\frac{1}{2})(4) > 12\\4x+x+2 > 12\\5x+2 > 12[/tex]

Step 2: Subtract 2 from both sides to isolate x

[tex]5x+2-2 > 12-2\\5x > 10[/tex]

Step 3: Divide both sides by 5 to full isolate x

[tex]\frac{5x}{5} > \frac{10}{5} \\x > 2[/tex]

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]4x+\frac{1}{2}(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ \frac{1}{2}\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2[/tex]

This means that x can be any value that is greater than 2.

Hope this helps!

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

     (look at the diagram attached for a better understanding)

Information Given:

Information Wanted:

Solve:

   [tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

Answer:

AnB = { 2,4}

Step-by-step explanation:

A={1,2,3,4,5} and B={2,4}

AnB  means A intersect B or what is common to both A and B

AnB = { 2,4}

Answer:

y =8

x=80

Step-by-step explanation:

5y-10=3y+6

5y-3y=6+10

2y =16

y=8

x+30+x-10=180

2x+20=180

2x=160

x=80

Answer:

7/5 y intercept 1

Step-by-step explanation

Answer:

B: slope 5/7 Y-intercept is 1

Step-by-step explanation:

To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.

The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.

the Y intercept is 1 because on the vertical line the line passes through 0,1.