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NARA [144]
3 years ago
14

How do I get the answer for 1 1/2 x 3 x 1 1/9

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

\boxed{1 \frac{1}{2}\times 3 \times 1 \frac{1}{9}=5}

<h2>Explanation:</h2>

in this problem we have the following expression:

1 \frac{1}{2}\times 3 \times 1 \frac{1}{9}

So here:

1 \frac{1}{2} \ and \ 1 \frac{1}{9} \ are \ written \ as \ mixed \ fractions

Let's convert them as improper fractions:

1 \frac{1}{2}=1+\frac{1}{2}=\frac{1\times 2+1}{2}=\frac{3}{2} \\ \\ 1 \frac{1}{9}=1+\frac{1}{9}=\frac{1\times9 +1}{9}=\frac{10}{9}

Rewriting our expression:

\frac{3}{2}\times 3 \times \frac{10}{9}=\frac{3\times 3 \times 10}{2\times 9}=\frac{90}{18}=5

<h2>Learn more:</h2>

Simplify: brainly.com/question/10644722

#LearnWithBrainly

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6 0
3 years ago
A small ________________ holds 75% as much as a large _________________.
Leto [7]

Answer:  The large ____ holds 48 units.

For the diagram you could draw the small rectangle 4 squares wide and 9 squares long. that will represent something that holds 36 units.

For the large one make it 4 squares wide and 12 squares long. That will have spaces for 48 units.

Step-by-step explanation: Change the percent to a decimal and set up the equation that means 36 is 75% of some number, yet unknown, X is the unknown number.

36 = .75x  divide both sides by .75  

36/.75 = .75x/.75 . The .75 "cancels" on the right. Then use a calculator.

36 ÷ .75 = 48

x = 48

3 0
3 years ago
Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42-m-42-m squar
oee [108]

The area enclosed by the figure is 4533.48 square meters.

<u>Step-by-step explanation:</u>

Side length of the square = 42m

The semicircle is attached to each side of the square. So the diameter of the semicircle is the length of the square.

Radius of the semicircle = 21m

Area of the square = 42 x 42 = 1764 square meters

Area of 1 semicircle = π(21 x 21) /2

= (3.14) (441) /2

= 1384.74/2

= 692.37 square meters

Area of 4 semicircle = 4 x 692.37

= 2769.48 square meters

Total area = 1764 + 2769.48

= 4533.48 square meters

The area enclosed by the figure is 4533.48 square meters.

7 0
3 years ago
Two similar cylinders have volumes of 480cm3 and 60cm3.
ehidna [41]

Answer:

a,480 over 60=80cm3

b,(c over 24)the whole cubed=480 over 60

c*60=24*480

c=11520/60

=192

6 0
3 years ago
I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!
Brilliant_brown [7]

Answer:

\huge\boxed{IJ \approx 2.01}

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: \text{sin(42)} = \frac{x}{3}

Let's now solve for x.

  • \text{sin(42)} = \frac{x}{3}
  • 3 \cdot \text{sin(42)} = x
  • \text{sin(42)} \approx 0.67
  • 3 \cdot 0.67 \approx 2.01

Therefore, the length of IJ will be around 2.01.

Hope this helped!

4 0
3 years ago
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