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AlexFokin [52]
3 years ago
6

Reed uses 8 pieces of glass per square foot to make a stained glass window. How many pieces of glass will he need to make a wind

ow that is 864 square inches?
Mathematics
1 answer:
laiz [17]3 years ago
8 0
To solve the problem posed in the statement we need to know the equivalence between squared foot and squared inches, and that is:
1 square foot = 144 square inches
So Reed uses 8 pieces of glass per 144 squared inches as well.
Now we can use a rule of three, simple and direct proportion to solve the question, it goes like this:
144 squared inches ------> 8 pieces glass
864 squared inches ------> x

x = (864)(8)/144
x = 48
Hence, Reed will use 48 pieces of glass to make a window that is 864 square inches.
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Evaluate 4g - 12 when g=5
olga nikolaevna [1]
The answer is 8.
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3 years ago
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X - 2y = 4. This in slope intercept forms. I need steps too.
user100 [1]

Answer: 1/2

Step-by-step explanation: we have formula y = mx + b

x - 2y = 4

2y = x - 4

y = x/2 - 4/2

y = x/2 - 2

m = 1/2

8 0
3 years ago
Finding distance between each pair of points. how to know which is x1 y1 and x2 y2 when using (x2-x1)^2 + (y2-y1)^2? People are
denpristay [2]

<u>It doesn't matter what order the coordinates are in the distance formula as long as it stays in it's corresponding order.</u> In this case, (-7,5) could be (x1,y1) and (3,-5) could be (x2,y2) or vise versa, just as long as you don't mix up the coordinates (so no (-7,-5) or (3,5)). I'll demonstrate this below:

\sqrt{(-7-3)^2+(5-(-5))^2}\\\sqrt{(-10)^2+(10)^2}\\\sqrt{100+100}\\\sqrt{200}\\\\\sqrt{(3-(-7))^2+(-5-5)^2}\\\sqrt{(10)^2+(-10)^2}\\\sqrt{100+100}\\\sqrt{200}

<u>The distance between these points, no matter the order, is √200, or approximately 14.14 units.</u>

7 0
3 years ago
Find a compound proposition involving the propositional variables p, q, and r that is true when exactly two of p, q, and r are t
VLD [36.1K]

Answer:

Consider the proposition C=(p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)

Step-by-step explanation:

This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.

First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.

Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.

8 0
4 years ago
A motorboat travels 105 kilometers in 3 hours going upstream. It travels 165 kilometers going downstream in the same amount of t
Novay_Z [31]

Answer:

Rate in still water = 45 km/h

Rate of the current = 10 km/h.

Step-by-step explanation:

Let the rate of the current be x and rate in still water be y.

So the rate of the boat upstream is y - x and the rate downstream = x + y.

Rate upstream = distance / time

y - x = 105/3 = 35 ...... (1)

Rate downstream:

y + x = 165/3 = 55 .......(2)

Adding (1) + (2):

2y = 90

y = 45 km/h.

Using equation (1):

45 - x = 35

x = 45-35 = 10 km/h.

8 0
3 years ago
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