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mr Goodwill [35]
3 years ago
8

A Rhombus with diagonal 1 equal to 5 ft and diagonal 2 equal to 8 ft

Mathematics
2 answers:
kolbaska11 [484]3 years ago
7 0

Answer:

20 ft squared

Step-by-step explanation:

The area of a rhombus can be calculated by multiplying its diagonals by each other and then halving that product: A = \frac{1}{2} d_1d_2

Here, we know that d_1 = 5 and d_2 = 8. So, we have the equation: A = \frac{1}{2} *5*8=(1/2)*40=20

Thus, the area is 20 ft squared.

Hope this helps!

Minchanka [31]3 years ago
4 0

Answer:

Area = 20 ft²

Step-by-step explanation:

Area of a thrombus

½ × d1 × d2

½ × 5 × 8

20

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Mason has a collection of 49¢ stamps, 20¢ stamps, and 34 stamps worth $23.55. He has 56 total 49¢ and 20+ stamps and the number
tatuchka [14]

Answer:

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.

Step-by-step explanation:

Let x be the number of 20¢ stamps, then the number of 3¢ stamps is  x + 9.

Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.

Amounts:

  • in 49¢: 49(56-x) cents;
  • in 20¢: 20x cents;
  • in 3¢: 3(x+9) cents.

Total amount:

  • 49(56-x)+20x+3(x+9);
  • $23.55.

Hence,

49(56-x)+20x+3(x+9)=2,355\\ \\2,744-49x+20x+3x+27=2,355\\ \\-49x+3x+20x=2,355-2,744-27\\ \\-26x=-416\\ \\26x=416\\ \\x=16

Mason has

  • 16 20¢ stamps;
  • 25 3¢ stamps;
  • 40 49¢ stamps.
5 0
3 years ago
Whch expression could be used to change 8 kilometers per hour to meters per minute
vazorg [7]

Answer:

133.33 meters per minute.

#FreeMelvin

5 0
3 years ago
NEED ANSWER ASAP
kkurt [141]

Answer:

f(2) = 81

g(2) = 83

Science class had a higher average

Step-by-step explanation:

Given

f(x) = 0.5x + 80

g(x) table

Solving (a): f(2)

We have:

f(x) = 0.5x + 80

So:

f(2) = 0.5*2 + 80

f(2) = 1 + 80

f(2) = 81

Solving (b): g(2)

From the given table.

g(2) = 83

Solving (c): f(4) or g(4); which is greater

f(x) = 0.5x + 80

So:

f(4) = 0.5*4+80

f(4) = 2+80

f(4) = 82

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

g(x) = g(x-1)+2

So

g(4) = g(4-1)+2:

g(4) = g(3)+2

g(4) = 85+2

g(4) = 87

<em>Hence, g(4) i.e. Science class is greater</em>

6 0
3 years ago
Why is adding 3/9 and 6/9 different from multpying the two fractions? Explain
tankabanditka [31]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ When you add fractions, you have to have the same denominator whereas, when you multiply them, you don't have to. (In this case the denominators are already the same.) Also, multiplying the fractions would make the result smaller whereas adding them would make it larger.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
4 years ago
A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the
Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

                                       width = 5 feet

                                       height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

x^{2} = 6^{2} + 5^{2}

x^{2} = 36 + 25

   = 61

x = \sqrt{61}

  = 7.81

let the length of the diagonal support be represented by l. So that;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

l^{2} = x^{2} + 8^{2}

  = \sqrt{61} + 64

l  = \sqrt{\sqrt{61} + 64 }

  = 61 + 8

  = 69

Thus, the length of the diagonal support is 69 feet.

6 0
3 years ago
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