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disa [49]
3 years ago
6

Consider the expression 35.86 divided by 2.2 .

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

  • a = 100, b = 100
  • 16.3

Step-by-step explanation:

<h3>Part A</h3>
  • a = 100 will convert the number on the numerator to whole number
  • b = 10 will convert the number on the denominator to whole number

But we need a = b in order not to change the value of the fraction, therefore we choose

  • a = b = 100
<h3>Part B</h3>

Multiplying both numerator and denominator by 100 will make the fraction:

  • 35.86*100/2.2*100 =
  • 3586/220 =
  • 16 66/220 =
  • 16 3/10
  • 16.3
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Two triangles have bases with lengths 5in and 8in.
Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by A_{1}, and that of the larger triangle by A_{2}.

Area of a triangle = \frac{1}{2} x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

\frac{area of the smaller triangle}{area of the larger triangle}

Area of smaller triangle = \frac{1}{2} x b x h

                                       = \frac{1}{2} x 5 x h

                                       = \frac{5}{2}h

Area of the lager triangle = \frac{1}{2} x b x h

                                           = \frac{1}{2} x 8 x h

                                           = 4h

So that;

Ratio = \frac{\frac{5}{2}h }{4h}

         = \frac{5}{8}

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

\frac{area of the smaller triangle}{area of the larger triangle} = \frac{5}{8}

\frac{15}{A_{2} } = \frac{5}{8}

5 A_{2} = 15 x 8

       = 120

A_{2} = \frac{120}{5}

    = 24

The area of the larger triangle is 24 in².

         

7 0
3 years ago
PLEASE HELP ASAP!! i will mark you brainliest
V125BC [204]

Answer:

1.  I am not sure about the first one. I tried everything and nothing I got from any of my work is looking right.

2. AB = 5

3. 8

4 0
3 years ago
Find the quotient of 3 2/5 and 3 1/6 . Express your answer in simplest form.
ladessa [460]
Decimal Form: 1.07
Mixed Number:1 7/95


3 0
3 years ago
Read 2 more answers
HELP PLEASE HURRY... 65 POINTS
stepan [7]
B is the answer to your question I remember putting that in my other class
3 0
3 years ago
Read 2 more answers
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
asambeis [7]
Building time :
4c + 6a < = 120

testing time :
4c + 4a < = 100

20 child bikes and 6 adult bikes...c = 20 and a = 6
sub into both equations
4c + 6a < = 120
4(20) + 6(6) < = 120
80 + 36 < = 120
116 < = 120 (correct)

4c + 4a < = 100
4(20) + 4(6) < = 100
80 + 24 < = 100
104 < = 100 (incorrect)

ur answer : No, because the bike order does not meet the restrictions of 4c + 6a < = 120 and 4c + 4a < = 100
6 0
3 years ago
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