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algol [13]
3 years ago
15

Lucas wants to put soil in his garden shown below. If soil comes in bags that fill 2 square yards each, how many bags of soil sh

ould Lucas buy? Hint: you may have some leftover soil.
The garden is 4/3 yards by 9/2 yards
Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Answer:

3 bags

Step-by-step explanation:

4/3 x 9/2 = 36/6

36/6 = 6 square yards

so you will nee 3 bags of soil.

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L = $20 r = 4% t = 2 years
Annette [7]
I'm guessing this is a question about interest rates? If you have $20 that increases by 4% in one year, you need to multiply 20 by 1.04. This gets you $20.8.

If you are talking about compound interest, we will take this number and multiply it again by 1.04 for the second year. 20.8 x 1.04 = $21.632. 

If it is instead simple interest, we will simply add another .8 dollars for each year, instead of getting 4% interest compounded every year onto the new value. This gets you $21.6.
7 0
3 years ago
What is 8x51 in multiplcation properties
hram777 [196]
51 x 8 = 408

It can be in this way: 51*8=408

3 0
3 years ago
Read 2 more answers
15
Evgesh-ka [11]

Answer:

Height = 14.4

Step-by-step explanation:

The diagonals meet at right angles. Interesting property.

The hypotenuse is the side of the rhombus = 15 cm

One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12

You can find the other side of the the triangle by using the Pythagorean Theorem

a^2 + b^2 = c^2

c = 15

a = 12

b = ?

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225 - 144

b^2 = 81

b = 9

The area of this right angle = 9 * 12/2 = 54

There are 4 of them so 4 * 54 = 216

That's the area of the rhombus.

The h= Area / b

b = 15

h = 216/15

h = 14.4

8 0
3 years ago
The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp
Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Using that formula, you may prove that d(C,E) = d(D,F), which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}

You can use this formula to prove that

m_{CE} = -\cfrac{1}{m_{DF}}

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

y-y_0 = m(x-x_0)

where (x_0,y_0) is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}

And use again the formula for the distance between two points to prove that

d(A,C) = d(A,D) = d(A,E) = d(A,F)

4 0
3 years ago
$250 at 6.5% for 3 years
Finger [1]

Answer:

hmhmhmhh hkm ntyiod dfov

Step-by-step explanation:

8 0
3 years ago
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