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2 years ago

Jan wants to lay sod on this lot. How

Mathematics

1 answer:

Advocard [28]2 years ago

8 0

Answer:

148.5 sq. ft.

Step-by-step explanation:

Since Jan wants to lay sod on it, Sod required will be equal to area of the lot.

Lot is in trapezium shape

area of trapezium is given by = 1/2(sum of parallel sides) height

parallel sides has length 15 and 18 feet

sum of parallel sides = (15+18) = 33

height = 9 feet

thus area of lot = 1/2(33)9 = 148.5

Thus, Jan will need 148.5 sq. ft of sod.

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If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?

Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

$(C_x,C_y)$ ----> coordinates of point C

we have that

The horizontal distance AB is equal to

$AB_x=10-2=8\ units$

The vertical distance AB is equal to

$AB_y=10-4=6\ units$

Find the horizontal coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

$\frac{AC_x}{CB_x}=\frac{3}{1}$

$AC_x=3CB_x$ ----> equation A

$AC_x+CB_x=8$ ----> equation B

substitute equation A in equation B

$3CB_x+CB_x=8$

$4CB_x=8\\CB_x=2$

$AC_x=3(2)=6$

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

$C_x=A_x+AC_x=2+6=8$

Find the vertical coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

$\frac{AC_y}{CB_y}=\frac{3}{1}$

$AC_y=3CB_y$ ----> equation A

$AC_y+CB_y=6$ ----> equation B

substitute equation A in equation B

$3CB_y+CB_y=6$

$4CB_y=6\\CB_y=1.5$

$AC_y=3(1.5)=4.5$

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

$C_y=A_y+AC_y=4+4.5=8.5$

therefore

The coordinates of point C are (8,8.5)

5 0

2 years ago

Y is directly proportional to X^2<br> If y = 45 when x = 3 find<br> y when x = 5

postnew [5]

Answer:

Y = 125

Step-by-step explanation:

Y is directly proportional to X^2

Mathematically,

Y ∝ X²

Y = kX²

Where k = Constant of Proportionality

Step 1

If y = 45 when x = 3

We solve for k

Y = kX²

k = Y/X²

k = 45/3²

k = 45/9

k = 5

Step 2

find y when x = 5

Y = kX²

k = 5, X = 5

Hence,

Y = 5 × 5²

Y = 125

6 0

3 years ago

You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at

dolphi86 [110]

I'm going to need more information before I can answer.

3 0

3 years ago

Which of the following describes the polynomial function ??? HELP

JulsSmile [24]

Answer:

B. The function has an even degree.

Step-by-step explanation:

We have been given an image of a polynomial function. We are asked to choose the correct options about our given polynomial.

A. The function has a negative leading coefficient.

Upon looking at our given graph, we can see that it is an upward opening parabola, so leading coefficient can't be negative, therefore, option A is not true.

B. The function has an even degree.

Upon at our given graph, we can see that it is symmetric to y-axis, therefore it has an even degree polynomial and option B is the correct choice..

C. The function has zero turning points.

Upon looking at our given graph, we can see that as function approaches towards 0 from negative infinity it is decreasing. As function increases positive infinity from 0, it is increasing, therefore, our function has a turning point at $x=0$ , therefore, option C is incorrect.

D. The function has one x-intercept.

Since our function never intersects x-axis, therefore, function has no x-intercept and option D is incorrect as well.

6 0

3 years ago

How do i do standerd form

katrin2010 [14]

Standard form is the same as numerical form
e.g: thirty-five in standard form=35

<span>Hope this helps</span>

4 0

3 years ago