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kotegsom [21]
2 years ago
9

Nate plans to make a gift box for a necklace using the net shown below. The net is shown. How many square inches of cardboard do

es Nate need to make the box?
Mathematics
1 answer:
elena-s [515]2 years ago
6 0

Answer:

16.2 inch²

Step-by-step explanation:

The attached picture consists of 4 equilateral triangles :

Height of equilateral triangle = 2.7 inches

Base of triangle = 3 inches

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 3 * 2.7

Area of triangle = 4.05 inch²

Number of square inches of cardboard needed :

Area of each triangle * number of Equilateral triangles

4 * 4.05 inch²

= 16.2 inch²

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An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, r
Studentka2010 [4]

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

r=\dfrac{59.75}{800}\\\\r=0.0746

8 0
3 years ago
If Log 20 = 1.301 what is the value of Logsub100 20?
Charra [1.4K]

Answer:

log_{100}20 = 0.6505

Step-by-step explanation:

log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)

This basically means:

10^{1.301} = 20  (This is the log in exponential form)

Since we don't know what  log_{100}20  is equal to, we will say  log_{100}20 = x

So to solve for log_{100}20 = x, you do the same thing. (convert to exponential form)

100^{x} =20

Now you will notice that both of these equations are equal to 20.

Since 20 = 20,

we can say 100^{x} = 10^{1.301}

Another way of saying 100, is 10^{2} (make the bases the same)

Now we get 10^{2x} = 10^{1.301}      

(we get 2x because an exponent to the power of an exponent (2^{x}) is the same as 2 * x)

Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:

2x = 1.301

x = 0.6505

6 0
2 years ago
Draw an area model. then solve using the standard algorithm. use arrows to match the partial products from your area model to th
11111nata11111 [884]
The answer to your question of what is 273 times 346 is 94,458
4 0
3 years ago
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Triangle DFE with coordinates D(0,0), F(3,0), and, E(3,1) is similar to triangle EHG. If vertex G has coordinates (9,3), what ar
Rudik [331]

Answer:

coordinates are (x,y)->(x+6,y+2)

F's coordinate is (3,0)

using the coordinates we get (9,2)

Therefore the coordinates are (9,2)

8 0
2 years ago
If y varies inversely as x and x is 6 when y is 13, what is x when y is 8?
Vikki [24]
Y = k/x
13 = k/6
k = 78

y = k/x
8 = 78/x
8x = 78
x = 78/8
x = 9.75
4 0
3 years ago
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