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3 years ago

Bryce is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and

Mathematics

1 answer:

Alexxandr [17]3 years ago

6 0

Answer:

80 lamps

Step-by-step explanation:

number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices

5*(3*3)*2

=5*9*2

=40*2

=80

hope it helps :)

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Which property of real numbers is shown below? 3 + ((-5) + 6) = (3 + (-5)) + 6

oksano4ka [1.4K]

3 + ((-5) + 6) = (3 + (-5)) + 6

It's associative property of addition

The associative property of addition states that you can add regardless of how the numbers are grouped, result will state the same.

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4 years ago

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2, 5, 25/2 ,... Find the 9th term.

Cloud [144]

Step-by-step explanation:

seems to be multiplication, because the differences between the numbers change.

so, let's find the factor.

2 × f = 5

f = 5/2

5 × f = 5 × 5/2 = 25/2

ok, the factor 5/2 is confirmed.

a1 = 2

a2 = a1 × 5/2 = 2 × 5/2 = 10/2 = 5

a3 = a2 × 5/2 = a1 × 5/2 × 5/2 = 2 × 5/2 × 5/2 = 25/2

an = an-1 × 5/2 = a1 × (5/2)^(n-1) = 2 × (5/2)^(n-1)

a9 = 2 × (5/2)⁸ = 2 × 390,625/256 =

= 390,625/128 = 3,051.7578125

8 0

2 years ago

Jaya has a 10 cm square piece of origami paper. If she folds the square into 4 equal triangles, what will be the area of each tr

Katen [24]

This is the term used to describe economic systems in which the basic economic questions are answered based on a socially, pre-established way.

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4 years ago

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the perimeter of a living room with 68 feet if the length of the living room is 18 feet what is the width

disa [49]

The answer for the width is 16

7 0

4 years ago

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Can someone please help me with this!?

Katarina [22]

One way of solving this problem can be Heron's formula. It is a formula that allows us to compute the area of a triangle, knowing the length of its three sides.

For the sake of clarity, let's assume that the point in the top-left lies in the origin, and let's call it point A. Then, the "middle" point is point B, and the bottom-right point is point C.

If we fix the coordinate axis with the origin in A, we have the following coordinates for the three points:

$A = (0,0),\quad B = (4,-1),\quad C = (7,-5)$

We can compute the length of any side using the formula for the distance between two points:

$d(P,Q) = \sqrt{(P_x-Q_x)^2 + (P_y-Q_y)^2}$

Plugging the approriate values, we get the following lenghts:

$\overline{AB} = \sqrt{17},\quad \overline{BC} = 5,\quad \overline{AC} = \sqrt{74}$

Now that we have the lengths, we can use Heron's formula: given the side lenghts $a,b,\text{ and } c$ and the semiperimeter $p$ , the area is given by

$A = \sqrt{p(p-a)(p-b)(p-c)}$

If you plug our values, you will get an area of 6.5. So, unless I'm mistaken, none of the answers seem to mach, whereas 7 seems the best approximation.

4 0

3 years ago