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3 years ago

A rectangular goat pasture has dimensions represented by the expressions y – 4 and 4y^2-3y+5 .Find the area of the pasture.

1 answer:

8 0

Given that the goat pasture is rectangular with the dimensions given by:
Length=(y-4) and Width=(4y^2-3y+5)
Thus the area of the pasture will be given:
Area=length*width
Area=(4y^2-3y+5)(y-4)
Area=y(4y^2-3y+5)-4(4y^2-3y+5)
Area=4y^3-19y^2+17y-20

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Can anyone solve this triangle?

kirill [66]

Answer:

Step-by-step explanation:

a^2+6^2 = 23^2

a^2 = 23^2 - 6^2

a^2 = 529 - 36

a^2 = 493

a = √493

a = 22,20

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3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%20%20%5Cfrac%7B2%7D%7B9%7D%20%29%28x%20%2B%20%20%5Cfrac%7B1%7D%7B2%7

Aleonysh [2.5K]

$f(x) = (x - \dfrac{2}{9} )(x + \dfrac{1}{2} )$

$\text {When } f(x) = 0 :$

$(x - \dfrac{2}{9} )(x + \dfrac{1}{2} ) = 0$

$(x - \dfrac{2}{9} ) = 0 \text { or } (x + \dfrac{1}{2} ) = 0$

$x = \dfrac{2}{9} \text { or } x = -\dfrac{1}{2}$

3 0

3 years ago

this dot plot shows the number of cakes sold each day in aunt alice's cake shop last month, what is the median number of cakes s

kipiarov [429]

The median is 12.

There are 23 dots.
11 on 1 side. 12. 11 on the other
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8 0

4 years ago

Read 2 more answers

Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC . FIRST CORRECT ANSWER GETS POINTS AND BRAINLIEST!!!! T

Ad libitum [116K]

Answer:

Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit

Firstly, find the angles B

Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree

∴m∠A+ m∠B+m∠C=180 ......[1]

Substitute the values of m∠A=60° and m∠C=45° in [1]

$60^{\circ}+ m\angle B+45^{\circ}=180^{\circ}$

$105^{\circ}+ m\angle B=180^{\circ}$

Simplify:

$m\angle B=75^{\circ}$

Now, find the sides of BC

For this, we can use law of sines,

Law of sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles.

$\frac{\sin A}{BC} = \frac{\sin C}{AB}$

Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.

$\frac{\sin 60^{\circ}}{BC} =\frac{\sin 45^{\circ}}{8}$

then,

$BC = 8 \cdot \frac{\sin 60^{\circ}}{\sin 45^{\circ}}$

$BC=8 \cdot \frac{0.866025405}{0.707106781} =9.798$ unit

Similarly for AC:

$\frac{\sin B}{AC} = \frac{\sin C}{AB}$

Substitute the values of ∠B=75°, ∠C=45°,and AB=8 unit to find AC.

$\frac{\sin 75^{\circ}}{AC} =\frac{\sin 45^{\circ}}{8}$

then,

$AC = 8 \cdot \frac{\sin 75^{\circ}}{\sin 45^{\circ}}$

$AC=8 \cdot \frac{0.96592582628}{0.707106781} =10.9283$ unit

To find the perimeter of triangle ABC;

Perimeter = Sum of the sides of a triangle

i,e

Perimeter of △ABC = AB+BC+AC = 8 +9.798+10.9283 = 28.726 unit.

To find the area(A) of triangle ABC ;

Use the formula:

$A = \frac{1}{2} \times AB \times AC \times \sin A$

Substitute the values in above formula to get area;

$A=\frac{1}{2} \times 8 \times 10.9283 \times \sin 60^{\circ}$

$A = 4 \times 10.9283 \times 0.86602540378$

Simplify:

Area of triangle ABC = 37.856 (approx) square unit

4 0

3 years ago

HELP PLEASEE!!! I just need help with the 2 boxes

Soloha48 [4]

Answer:

$y= x - 300$

$y = -246$ -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

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

From the table, we can say that:

$(x_1,y_1) = (0,-300)$

$(x_2,y_2) = (300,0)$

So, we have:

$m = \frac{0 -(-300)}{300 - 0}$

$m = \frac{0 +300}{300}$

$m = \frac{300}{300}$

$m = 1$

The equation is then calculated using:

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

This gives:

$y - (-300) = 1(x - 0)$

$y +300 = 1(x)$

$y +300 = x$

$y= x - 300$

(b) When x = 54

Substitute 54 for x in $y= x - 300$

$y = 54 - 300$

$y = -246$

3 0

3 years ago