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Galina-37 [17]
4 years ago
11

10+3(2xz+3y)2xz what's the answer.

Mathematics
1 answer:
mamaluj [8]4 years ago
3 0
10+3(2xz+3y)\cdot 2xz=10+(6xz+9y)\cdot 2xz=\\ \\=10+12x^2z^2+18xyz
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If l is parallel to m, find the value of each missing variable(s). Show all of your work and identify the realtionship.
cestrela7 [59]
(4x - 7) and (7x -61) can be set equal to each other because they are corresponding angles.

4x - 7 = 7x - 61
4x + 54 = 7x
54 = 3x
18 = x
3 0
3 years ago
A. 15 degrees<br><br> B. 45 degrees<br><br> C. 30 degrees<br><br> D. 60 degrees
lara [203]

Answer: C. 30 degrees

Step-by-step explanation:

By definition, an hexagon is a polygon with six sides.

The sum of the interior angles of an hexagon is 720 degrees.

Based on this, the measure of eac interior angle is:

interior\ angle=\frac{720\°}{6}=120\°

Therefore, the measure of ∠1 is:

 \angle 1=\frac{120\°}{2}\\\\ \angle 1=60\°

So, to find the angle ∠2, you can divide ∠1 by 2:

\angle 2=\frac{60\°}{2}\\\\ \angle 2=30\°

7 0
3 years ago
The volume is 120.9 in. What is the missing dimension (X)
Elina [12.6K]

Answer:

X = 2.5 in

Step-by-step explanation:

volume = L x W x H

120.9 = 9.3 x 5.2 x X

X = 2.5 in

5 0
3 years ago
Read 2 more answers
The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as
pantera1 [17]

Answer:

The mass of the bag of sand must be equal to  m=12,000\pi\ g

Step-by-step explanation:

<u><em>The complete question is</em></u>

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platform on which the statue is placed is designed to detect the mass of the statue. If the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.

The density of gold is about 20 g/ cm^3 . The density of sand can be estimated at 2.5 g/cm^3. The gold statue can be modeled as a cylinder with height 25 cm and radius 8 cm.

In terms of pi, what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

step 1  

Find the volume of the gold statue

The volume of a cylinder is equal to

V=\pi r^{2}h

substitute the given values

V=\pi (8)^{2}(25)

V=600\pi\ cm^3

step 2

Find the mass of gold

Remember that the mass is equal to multiply the density by the volume

so

m=(20)600\pi\\m=12,000\pi\ g

step 3

what is the mass of sand Indiana Jones needs to avoid triggering the mechanism?

we know that

The mass of the bah of sand must be equal to the mass of the statue

therefore

The mass of the bag of sand must be equal to

m=12,000\pi\ g

5 0
3 years ago
Kenneth solved a certain number of problems and Harold solved 2 more than twice as many. Together they
Inessa [10]

H(arold) = 2 + 2*K(enneth)

H = 2 + 2K

H + K = 38

Substitution:

2 + 2K + K = 38

3K = 36

K = 12

Kenneth solved 12 problems and Harold solved (2(12) + 2 = 24 + 2 =) 26 problems

6 0
3 years ago
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