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liq [111]
3 years ago
13

Multiply. Express your answer in simplest form. 11 1/9 × 4 2/7

Mathematics
2 answers:
solmaris [256]3 years ago
5 0

Answer:

47 13/21

Step-by-step explanation:

Given

11 1/9 x 4 2/7

First change the fractions to improper fractions.

We have ,

100/9 x 30/7

Multiply through

3000/63

Divide the numerator and denominator by 3

1000/21

47 13/21

Kipish [7]3 years ago
4 0

Answer:

47 13/21

Step-by-step explanation:

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2 years ago
What is the surface area of this composite solid?______________ square feet 242 319 363 517
jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

V_{prims}=11 \times 11 \times 2=242 \ ft^{3}

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

7^{2}=h^{2} +(5.5)^{2}\\  49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3

The height is 4.3 feet, approximately.

Now, we find the volume of the pyramid

V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}

The sum of both figures represents the total volume of the composite figure

V_{total}=242+173.4=415.4ft^{3}

Therefore, the right answer is 415.4 cubic feet.

3 0
3 years ago
Read 2 more answers
Solve the inequality 5 + 1/x &gt; 16/x
sladkih [1.3K]

Answer:

x  <  0  or     x  >  3

Explanation:

6 0
2 years ago
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What is the measure of ∠S ?
jeka94

Alright, lets get started.

We could use sine law to find the remaining angle.

\frac{sinA}{a} =  \frac{sinB}{b}

\frac{sinS}{63.6}  = \frac{sin64}{69.8}

Plugging the value of sin 64

\frac{sinS}{63.6} =  \frac{0.8987}{69.8}

\frac{sinS}{63.6} = 0.01287

Cross multiplying

sin S = 0.8189

Taking inverse on both side

S = sin^{-1}(0.8189)

S = 55° : Answer

Hope it will help :)



4 0
3 years ago
Read 2 more answers
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