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1 year ago

100 POINTS EZ |

Mathematics

2 answers:

ehidna [41]1 year ago

7 0

Area of the quadrilateral=1/2×diagonal×(sum of perpendiculars)

Put the values

Area:-

$\\ \rm\Rrightarrow \dfrac{1}{2}(24)(8+13)$

$\\ \rm\Rrightarrow 12(21)$

$\\ \rm\Rrightarrow 252m^2$

Anvisha [2.4K]1 year ago

5 0

Answer:

Step-by-step explanation:

Divide the quadrilateral field into two triangles by its diagonal.

Area of a triangle is given by the equation 1/2*base*height.

The top triangle's area = 1/2*24*13 = 156 m^2

The bottom triangle's area = 1/2*24*8 = 96 m^2

Combining, the area of the field = 156 + 96 = 252 m^2

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Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme

frutty [35]

Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.

<span>Length of employment (months)         Hourly wage (dollars/hour)
6 months    7.55
12 months    7.85
18 months    8.15
24 months    8.45

To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.

Recall that the equation of a linear function satisfying two points
$(x_1,y_1)$ and $(x_2,y_2)$
is given by
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
$\frac{y-7.55}{x-6} = \frac{7.85-7.55}{12-6} = \frac{0.3}{6} \\ \\ 6(y-7.55)=0.3(x-6) \\ \\ 6y-45.3=0.3x-1.8 \\ \\ 0.3x-6y=-43.5$

Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is
$0.3x-6y=-43.5$ </span>

5 0

2 years ago

Anna is draining water out of a 50 gallon rain barrel. The graph shows the relationship between time in minutes and the gallons

tatiyna

Answer:

6 < x ≤ 20

Step-by-step explanation:

First, let's use the points (0, 50) and (20, 0) to find the equation of the line.

m = Δy / Δx

m = (0 − 50) / (20 − 0)

m = -2.5

y = -2.5x + 50

Now find the time when y = 35.

35 = -2.5x + 50

-15 = -2.5x

x = 6

So there is less than 35 gallons in the barrel when 6 < x ≤ 20.

7 0

2 years ago

Your car invoice reads: “Price $1,492.50, dealer preparation $45.00, transportation $54.50, undercoat $148.80, 60-day guarantee

Maurinko [17]

Answer:$2,074.53

Step-by-step explanation:

Final cost will be calculated as the sum of each expense stated on the invoice, which is $1,492.50 + $45 + $54.50+ $148.80 + $95 + $238.73 = $2,074.53

Final cost = $2,074.53, i hope this helps, please mark as brainliest answer.

7 0

2 years ago

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola

murzikaleks [220]

Not really sure what you are looking for, but this is how to solve equations such as these.

Let:

x = number of pounds of granola

y = numer of pounds of walnuts

The equation he can use to compute the total cost would be:

$2.00x + $6.00y = $12.00

We know that he bought 3 pounds of granola, so we plug in that for the x value:

$2.00(3) + $6.00y = $12.00

$6.00 + $6.00y = $12.00

To isolate the unknown value which is y, we first need to subtract $6.00 from both sides of the equation:

$6.00 + $6.00y - $6.00 = $12.00 - $6.00

$6.00y = $6.00

Then we divide both sides by $6.00:

$6.00y/$6.00 = $6.00/$6.00

y = 1

So the number of bags of walnuts he can buy is 1 bag.

5 0

2 years ago

Read 2 more answers

On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4).

mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

$Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6$

In triangle STU:

$|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2$

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

6 0

2 years ago

Read 2 more answers