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LenKa [72]
3 years ago
7

Find the total surface area of this square based pyramid. 10 in 5 in

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Answer:

125in

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

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strojnjashka [21]

Answer:

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8 0
3 years ago
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Find the unit rate.<br><br> 6 2/5 revolutions in 2 2/3 seconds
topjm [15]
1) Convert mixed fractions into fractions.

6 2/5 = ((6*5) + 2) / 5 = 32 / 5
2 2/3 = ((2*3) + 2) / 3 =  8 / 3

2) 32 / 5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
a) Get the reciprocal of the 2nd fraction:
   From 8/3 to 3/8
b) Multiply 1st fraction to the reciprocal of the 2nd fraction
  32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40
c) Simplify the fraction.
96 / 40 divide by 4 will become 24/10.
24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.

 The unit rate is 12 / 5 = 2 2/5 revolutions per second.
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7 0
3 years ago
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PLEASE help i neeed help asap im willing to give u 100 or 40 points if u answer this correctly so please help answer them all
AURORKA [14]

Step-by-step explanation:

The hundredth place is the second number to the right of the decimal place (e.g., in ab.cd, where a, b, c, and d represent digits, the hundredth place is d).

When we round to the nearest hundredth, we remove all digits after the <em>thousandth</em> place. Then, if the thousandth place is 5 or greater, we remove it and add 0.01 (round up); if the thousandth place is 4 or lesser, we remove it (round down).

Thus:

50.30=50.30, as there is no thousandth place

50.20=50.20, same reasoning

56.90=56.90, same reasoning

49.50=49.50, same reasoning

51.10=51.10, same reasoning

30.00=30.00, same reasoning

5 0
3 years ago
Sue has 18 sweets.
Rufina [12.5K]

Answer:

s = 13 - x

t = \frac{18+x}{2}

Step-by-step explanation:

To start out with:

s = 18

t = 18

Sue gives Tony x sweets

s = 18 - x

t = 18 + x

Sue then eats 5 of her sweets

s =  18 - x - 5 = 13 - x

t  = 18 + x

Tony eats half of his sweets

s = 13 - x

t = \frac{18+x}{2}

(Possible constraint that x\mod 2 = 0)

4 0
3 years ago
Which equation is an identity?
dalvyx [7]

The condition for an expression to be an <u>identity </u>is that both sides of equality must give the same value.



In this case, the equation that fulfills that condition is the first equation (1).



<u>Let’s prove it:</u>


1) 3w+8-w=4w-2(w-4)



Applying distributive property:



3w+8-w=4w-2w+8



Joining together similar terms on both sides of the equality:



2w+2w-4w=8-8



<h2>0=0    >>>>>>>This is true and fulfills the condition of identity</h2>

The other equations do not fulfill the condition:


2) 5y+5=5y-6


5y-5y=-6-5


0 =-11   >>>>>>>This is not logic



3) 6m-6=7m+9-m


6m-7m+m=9+6


0=15  >>>>>>>This is not logic



4) 8-(6v+7)=-6v-1


8-6v-7=-6v-1


1=-1   >>>>>>>This is not logic



3 0
3 years ago
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