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Art [367]
3 years ago
13

A rhombus has diagonals 500 yd and 800 yd in length. Find the area in square miles.

Mathematics
1 answer:
nordsb [41]3 years ago
8 0
We know that
<span>A simple formula for the area of a rhombus when you know the lengths of the diagonals is half the product of the diagonals
</span>
Area=d1*d2/2
d1=500 yd
d2=800 yd

1 mile is equal to -----> 1760 yd
x mile---------------> 500 yd
x=500/1760----> x=0.2841 mi

1 mile is equal to -----> 1760 yd
x mile---------------> 800 yd
x=800/1760----> x=0.4545 mi

Area=(0.2641*0.4545)/2-----> 0.06 miles²

the answer is
0.06 miles²
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3 years ago
Find the height of a cylinder with a volume of 12157 mm3 and a radius of 9 mm.
Ivahew [28]

Volume of a Cylinder = pi * r^2 * h

V / (pi*r^2) = h

12157 / (pi * 9^2) = h = 47.774

5 0
3 years ago
Identify the slope &amp; y-intercept for the following equation: y=-5x-3
Nikitich [7]

Answer:

slope: -5

y-intercept: -3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the solution to the equation 3/m+3-m/3-m=m^2+9/m^2-9
Bas_tet [7]

Answer:

  no solution

Step-by-step explanation:

If we subtract the left side of the equation, we get ...

  \dfrac{m^2+9}{m^2-9}-\dfrac{3}{m+3}+\dfrac{3}{3-m}=0\\\\\dfrac{m^2+9-3(m-3)-3(m+3)}{(m-3)(m+3)}=0\\\\\dfrac{m^2-6m+9}{(m-3)(m+3)}=0=\dfrac{(m-3)^2}{(m-3)(m+3)}\\\\\dfrac{m-3}{m+3}=0\quad\text{m$\ne$3}

This equation will equal zero only if m=3, which is disallowed because it makes the denominator zero. Thus, there is no solution.

7 0
3 years ago
Clem Colfax had $10 to buy groceries. He needed milk costing 70 cents a carton, bread costing 60 cents a loaf, breakfast cereal
zaharov [31]
Cost of milk per carton = $ 70 cents = 70/100 = $0.7
Cost of bread per loaf = $60 cents = 60/100 = $0.6
Cost of cereals per box = $50 cents = 50/100 = $0.5
Cost of meat per pound = $1.50

If x is the number of cartons of milk bought, then
Number of loafs = x/2
Number pf boxes of cereals = x/2 +1
Number of pounds of meat = x/2 +1

Therefore,
0.7*x + 0.6*x/2 + 0.5 (x/2+1) + 1.5 (x/2+1) = 10
0.7x + 0.3x + 0.25x + 0.5 + 0.75x + 1.5 = 10
2x + 2 =10
2x = 8
x = 4

Substituting;
Milk cartons = 4
Number of bread = 4/2 = 2
Boxes of cereals = 2+1 = 3
Pounds of meat = 3
8 0
3 years ago
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