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Inga [223]
3 years ago
10

Which is the better buy? 50 fl oz of detergent for $2.49 or 32 fl oz of detergent for $1.99

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0
50 fl oz of detergent
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14. A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the c
DedPeter [7]

Answer:

5(√3 - 1)

Step-by-step explanation:

Edge of cube = 10

If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.

Diameter = 10

We will then find the diagonal of the cube.

Diagonal = √10^2 + 10^2 + 10^2

= √300

= 10√3

Let X be the distance between the vertex of the cube and the surface of the sphere

X = (diagonal - diameter) /2

X = (10√3 - 10)/2

X = (10(√3 - 1))/2

X = 5(√3 - 1)

8 0
3 years ago
Two ladders are leaning against a building, forming two similar triangles as shown below. The top of the longer ladder is 28 fee
postnew [5]

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

20/15 = 28/x + 15

20(x + 15) = 15(28)

20x + 300 = 420

20x = 420-300

20x = 120

x = 120/20

x = 6

So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

x^2 = 28^2 + 21^2

x^2 = 1,225

x = √1225

x = 35 ft

7 0
2 years ago
5 + a < 5 true or false
Irina-Kira [14]

Answer:false


Step-by-step explanation:


3 0
3 years ago
What is 8 * 3/4 hour
Pachacha [2.7K]
78 * 3/4 hour,
it is 6 hours

5 0
3 years ago
Read 2 more answers
Oliver works at a bookstore.He packed 20 identical paperbacks and 9 identical textbooks in a box. The total mass of the books wa
max2010maxim [7]
In the problem, the first equation should be represented like this base on the variable given in the problem:

20p + 9t = 44.4

with that equation, the second equation would is given by this formula, in response with the additional number of paperback and textbook

21p + 14t = 51

to get the system equation in getting the mass of each variable, you should subtract the two equation to simplified the formula.

   20p + 9t = 44.4
 - 21p + 14t = 51
-------------------------
p + 5t = 6.6 // this is the system equation that could be use in getting the mass of each object
8 0
3 years ago
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