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(05.03)Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.


Pentagon with square measuring 6 inches by 3 inches and two triangles with heights of 5 inches and 4 inches.


30 in2

31.5 in2

36.5 in2

39 in2

9514 1404 393

Answer:

  C.  168°

Step-by-step explanation:

The exterior angle at any vertex of an n-gon will be ...

  360°/n

So a 30-gon will have exterior angles of ...

  360°/30 = 12°

The adjacent interior angle is supplementary to this, so is ...

  180° -12° = 168°

_____

Using the reasonableness test

You know that the interior angles of a square are 90°, and that regular polygons with more sides have larger interior angles. The most any regular polygon's interior angle can be is 180°. The only answer choice between 90° and 180° is the correct choice: 168°.

The length of the man's shadow produced by the spotlight is 11.4 m.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

From the diagram using trigonometric ratio:

Also:

Length of shadow = y - x = 21 - 9.6 = 11.4 m

The length of the man's shadow produced by the spotlight is 11.4 m.

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Answer:

17

Step-by-step explanation:

$25.00 - $16.50 = $8.50

$8.50 / $0.50 = 17

Answer:

Thats not a question

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To solve this multiply the two and add like terms

Once you multiply you should get x^2-4x+6x-24 which simplifies to x^2+2x-24 which is C

Answer:  920 ft²

Step-by-step explanation:

Closets take up 92 ft² of Maya's apartment.

From the model presented, closets account for 10% of the entire space in Maya's apartment.

The entire area of the apartment can be represented by x.

The relevant expression is:

x * 10% = 92

x = 92/10%

x = 920 ft²

Answer:

y=-1x+3

y-2=3(x-1)

Step-by-step explanation:

Slope: -1

y-intercept: 3

Answer:

-1

Step-by-step explanation:

we would use the slope formula which is y2-y2/x2-x1

so 3-4/5-4= -1

Answer:

The answer is C. Hope this helps!

Step-by-step explanation

Answer:

-b

Step-by-step explanation:

because when they say whats the ratio of the rabit you but 12 first then next they say total of animals you add 5 plus 8 which is 13

Answer:

[tex]111.3\ \text{square units}[/tex]

Step-by-step explanation:

[tex]PQ=20\ \text{units}[/tex]

[tex]PR=12\ \text{units}[/tex]

[tex]\angle QPR=68^{\circ}[/tex]

[tex]\angle PQR=36^{\circ}[/tex]

Area of the triangle is given by

[tex]A=\dfrac{1}{2}\times PQ\times PR\times\sin \angle QPR\\\Rightarrow A=\dfrac{1}{2}\times 20\times 12\times \sin68^{\circ}\\\Rightarrow A=111.26\approx 111.3\ \text{square units}[/tex]

The area of the triangle is [tex]111.3\ \text{square units}[/tex].

Answer:

111.3

Step-by-step explanation:

Answer:

Where's the information

Step-by-step explanation:

Answer:

(a+9)(a-9)

Step-by-step explanation:

Both terms are perfect squares, use the difference of squares formula

a^2-b^2=(a+b)(a-b) where a=a and b=9

Answer:

64° 60° 36° 32° 48° 44°

Step-by-step explanation:

It is subtracting by 4° each time

Answer:

mmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

he would have 175

Step-by-step explanation: because if u have saved up 125 and multiplied it by 140 then it would be 175.

Answer:

C

Step-by-step explanation:

Substitute each of the values into f(x) and if equal to zero then it is an x- intercept.

f(3)

= 3³ - 3² - 8(3) + 12 = 27 - 9 - 24 + 12 = 6 ≠ 0

f(- 4)

= (- 4)³ - (- 4)² - 8(- 4) + 12 = - 64 - 16 + 32 + 12 = - 36 ≠ 0

f(- 3)

= (- 3)³ - (- 3)² - 8(- 3) + 12 = - 27 - 9 + 24 + 12 = 0

f(4)

= 4³ - 4² - 8(4) + 12 = 64 - 16 - 32 + 12 = 28 ≠ 0

Since f(- 3) = 0 then x = - 3 is an x- intercept of f(x)

The x - intercept of the function f (x) = x³ - x² - 8x + 12 will be;

⇒ x = - 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ f (x) = x³ - x² - 8x + 12

Now,

Since, The function is,

⇒ f (x) = x³ - x² - 8x + 12

We know that;

The x - intercept of the function is satisfy the function.

So, We check all the option to find the x - intercept as;

Put x = 3;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (3) = 3³ - 3² - 8×3 + 12

⇒ f (3) = 27 - 9 - 24 + 12

⇒ f (3) = 6 ≠ 0

Put x = -4;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (-4) = (-4)³ - (-4)² - 8×-4+ 12

⇒ f (-4) = -64 - 16 + 32 + 12

⇒ f (-4) = - 36 ≠ 0

Put x = -3;

⇒ f (x) = x³ - x² - 8x + 12

⇒ f (-3) = (-3)³ - (-3)² - 8×-3 + 12

⇒ f (-3) = -27 - 9 + 24 + 12

⇒ f (-3) = 0

Thus, The x - intercept of the function is,

⇒ x = - 3

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Answer:

-2

Step-by-step explanation:

I'm not sure but I think you just need to make them the same

m = -33

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

45 seventh graders at Jonathan‘s school are not participating in the school play.

Given:

In Jonathan's school,30 seventh graders are participating in the school play. And 60% are not participating in the school play.

To find:

The number of seventh graders not participating in the school play.

Solution:

Let the total number of seventh grader be N.

Number of seventh graders participating in the school play = 30

Percentage of seventh graders not participating in the school play= 60%

Percentage of seventh graders participating in the school play:

[tex]= 100\% - 60\% = 40\%[/tex]

This means that 30 seventh graders are 40% of the total seventh graders, N.

[tex]40\%=\frac{30}{N}\times 100\\N=\frac{30}{40}\times 100=75[/tex]

The number of seventh grader not participating in the school play:

[tex]=N -30\\ = 75 - 30 = 45[/tex]

45 seventh graders at Jonathan‘s school are not participating in the school play.

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Answer:

The coordinates of the midpoint are (5.55,4.655)

Step-by-step explanation:

Midpoint

The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

We are given the points (5.1 , 5.71) and (6 , 3.6). The coordinates of the midpoint are:

[tex]\displaystyle x_m=\frac{5.1+6}{2}=\frac{11.1}{2}=5.55[/tex]

[tex]\displaystyle y_m=\frac{5.71+3.6}{2}=\frac{ 9.31}{2}=4.655[/tex]

The coordinates of the midpoint are (5.55,4.655)

Answer:

-1/4

Step-by-step explanation:

[tex]m = \dfrac{y_{B} - y_{A}}{x_{B} - x_{A}} = \dfrac{-6 - (-8)}{2 - 10} = \dfrac{-6 + 8}{-8} = \dfrac{2}{-8} = - \dfrac{1}{4}[/tex]

[tex]\implies \bf m = - \dfrac{1}{4}[/tex]

Answer:

509.554140127, you could round it to 510, if rounded to the ones.

510 yds squared

Step-by-step explanation:

80=2pi r

80=6.28r

r=around 12.7388535032

area: pi r^2

pi(162.278388576) approximately equals 509.554140127

Answer:

uuuum I think it would be? J times 5 or sm!? I’m sryyyyyy

Step-by-step explanation:

Answer:

...................

.............----.-.-.-.-.--..--.-.-.-.-.-..-.-:-;-:-:-:--.-.-.-.-.

Answer:

Step-by-step explanation:5

Answer:

52.4

Step-by-step explanation:

I Hope It Helps

Answer:

y=5

Step-by-step explanation:

-4y+12=10y-30

-14y=-42

y=3

The value of the expression -4 ( y - 3 ) = 5 ( 2y - 6 ) is 3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4 ( y - 3 ) = 5 ( 2y - 6 )

On simplifying the equation , we get

-4y + ( -4 ) ( -3 ) = 10y - 5 ( 6 )

-4y + 12 = 10y - 30

Adding 4y on both sides , we get

14y - 30 = 12

Adding 30 on both sides , we get

14y = 42

Divide by 14 on both sides , we get

y = 3

Therefore , the value of y = 3

Hence , the value of the expression -4 ( y - 3 ) = 5 ( 2y - 6 ) is 3

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Answer:

Hello There!!

Step-by-step explanation:

21/7=3

21 are the total markers and you divide by 7 so 7 goes 3 times into 21.

hope this helps,have a great day!!

~Pinky~

Answer:

0.45

Step-by-step explanation: