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bearhunter [10]

3 years ago

5

Sophia wants to buy a tablet so she can watch tv and play games as well as complete her school work. she is researching all her

different options and the tablet she chose says the length is (-4x^2 - 2x -3)cm and the width is (4x +3) cm.
what is the area of sophias tablet.

1 answer:

Vikki [24]3 years ago

8 0

Step-by-step explanation:

What goes up but never comes down? The answer is your age

make me brainliest

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Rafeeq bought a field in the form of a quadrilateral (ABCD)whose sides taken in order are respectively equal to 192m, 576m,228m,

Valentin [98]

Answer:

a. 85974 m²

b. 17,194,800 AED

c. 18,450 AED

Step-by-step explanation:

The sides of the quadrilateral are given as follows;

AB = 192 m

BC = 576 m

CD = 228 m

DA = 480 m

Length of a diagonal AC = 672 m

a. We note that the area of the quadrilateral consists of the area of the two triangles (ΔABC and ΔACD) formed on opposite sides of the diagonal

The semi-perimeter, s₁, of ΔABC is found as follows;

s₁ = (AB + BC + AC)/2 = (192 + 576 + 672)/2 = 1440/2 = 720

The area, A₁, of ΔABC is given as follows;

$Area\, of \, \Delta ABC = \sqrt{s_1\cdot (s_1 - AB)\cdot (s_1-BC)\cdot (s_1 - AC)}$

$Area\, of \, \Delta ABC = \sqrt{720 \times (720 - 192)\times (720-576)\times (720 - 672)}$

$Area\, of \, \Delta ABC = \sqrt{720 \times 528 \times 144 \times 48}$ = 6912·√(55) m²

Similarly, area, A₂, of ΔACD is given as follows;

$Area\, of \, \Delta ACD= \sqrt{s_2\cdot (s_2 - AC)\cdot (s_2-CD)\cdot (s_2 - DA)}$

The semi-perimeter, s₂, of ΔABC is found as follows;

s₂ = (AC + CD + D)/2 = (672 + 228 + 480)/2 = 690 m

We therefore have;

$Area\, of \, \Delta ACD = \sqrt{690 \times (690 - 672)\times (690 -228)\times (690 - 480)}$

$Area\, of \, \Delta ACD = \sqrt{690 \times 18\times 462\times 210} = \sqrt{1204988400} = 1260\cdot \sqrt{759} \ m^2$

Therefore, the area of the quadrilateral ABCD = A₁ + A₂ = 6912×√(55) + 1260·√(759) = 85973.71 m² ≈ 85974 m² to the nearest meter square

b. Whereby the cost of 1 meter square land = 200 AED, we have;

Total cost of the land = 200 × 85974 = 17,194,800 AED

c. Whereby the cost of fencing 1 m = 12.50 AED, we have;

Total perimeter of the land = 576 + 192 + 480 + 228 = 1,476 m

The total cost of the fencing the land = 12.5 × 1476 = 18,450 AED

4 0

3 years ago

H shows the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, what is the ratio of penci

My name is Ann [436]

Answer:

$Ratio = \frac{3}{2}$

Step-by-step explanation:

See attachment for complete question.

We start by solving for the equation of the graph (The graph shows a linear equation)

Represent pencils with x and pen with y

From the graph, we have that:

$(x_1,y_1) = (6,4)$

$(x_2,y_2) = (12,8)$

Solve for slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{8 - 4}{12- 6}$

$m = \frac{4}{6}$

$m = \frac{2}{3}$

The equation is calculated using:

$y - y_1 = m(x - x_1)$

Where

$m = \frac{2}{3}$

$(x_1,y_1) = (6,4)$

$y - 4 = \frac{2}{3}(x - 6)$

$y - 4 = \frac{2}{3}x - \frac{2}{3} * 6$

$y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}$

$y - 4 = \frac{2}{3}x - \frac{12}{3}$

$y - 4 = \frac{2}{3}x - 4$

Add 4 to both sides

$y - 4 +4= \frac{2}{3}x - 4 + 4$

$y= \frac{2}{3}x$

Now, to the question.

When pencils is 15 implies that

$x = 15$

Solving for x, we have:

$y= \frac{2}{3}x$

$y= \frac{2}{3} * 15$

$y= \frac{2* 15}{3}$

$y= \frac{30}{3}$

$y= 10$

i.e. Pen = 10

Ratio = x ; y

$x : y = 15 : 10$

Convert to fraction

$\frac{x}{y} = \frac{15}{10}$

Simplify

$\frac{x}{y} = \frac{3}{2}$

Hence,

$Ratio = \frac{3}{2}$

8 0

3 years ago

Read 2 more answers

What is the approximate area of a circle with a radius of 28 ft?

Flura [38]

The answer is B.163.3.

7 0

3 years ago

Ns. Moore drove 200 miles in February. She drove 8 times as many miles in March as she did in January. How many mailed did Ms. M

HACTEHA [7]

Answer:

25

Step-by-step explanation:

200 divided by 8

7 0

3 years ago

TON OF FREE POINTS FOR THE SMARTEST FINANCE PERSON! EASY PEASY, JUST NEED HELP TO DO IT THE RIGHT WAY ASAP!!! WHO SHALL WIN? Do

Vlada [557]

The problem can be represented by the the exponential growth formula which is :
$P(t) = A * r^{t}$
Where: t ⇒ time , A ⇒ initial amount , r ⇒ rate of increase
P(t) ⇒ predicted amount at the end of t.

For the given problem:
initial amount = A = $278,640
<span>predicted increase in value per year = 4% =0.04
</span>
<span>∴ r = 1 + 0.04 = 1.04
</span>
<span>for t = 18 years
</span>
∴ $P(t) = A * r^{t} =278,640 * 1.04^{18}=\framebox{564,473.5}$ <span />
Rounding to the nearest dollar ⇒ ∴ P(t) = <span>564,474
</span>

So, the predicted value of David's home in 18 years = $564,474

So, The correct option is <span>$564,474</span>

5 0

3 years ago

Read 2 more answers