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adelina 88 [10]
3 years ago
12

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters

and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams.
Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

The density of the material must be at least 1.5 g/cm³.

Step-by-step explanation:

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In the following diagram, line m is parallel to line n and line q intersects the parallel lines at
joja [24]

Answer:

108°

Step-by-step explanation:

We know for a theorem that A = B, so:

4x + 28 = 2x + 68

Isolating the x:

2x = 40

x = 20

Now let's plug in the equation for A:

4(20) + 28 = 108°

8 0
1 year ago
Please help trigonometry and special right trianglez
Mice21 [21]

Answer:

Step-by-step explanation:

3 0
2 years ago
Plz prove this for me.....
s344n2d4d5 [400]

I've answered your other question as well.

Step-by-step explanation:

Since the identity is true whether the angle x is measured in degrees, radians, gradians (indeed, anything else you care to concoct), I’ll omit the ‘degrees’ sign.

Using the binomial theorem, (a+b)3=a3+3a2b+3ab2+b3

⇒a3+b3=(a+b)3−3a2b−3ab2=(a+b)3−3(a+b)ab

Substituting a=sin2(x) and b=cos2(x), we have:

sin6(x)+cos6(x)=(sin2(x)+cos2(x))3−3(sin2(x)+cos2(x))sin2(x)cos2(x)

Using the trigonometric identity cos2(x)+sin2(x)=1, your expression simplifies to:

sin6(x)+cos6(x)=1−3sin2(x)cos2(x)

From the double angle formula for the sine function, sin(2x)=2sin(x)cos(x)⇒sin(x)cos(x)=0.5sin(2x)

Meaning the expression can be rewritten as:

sin6(x)+cos6(x)=1−0.75sin2(2x)=1−34sin2(2x)

3 0
3 years ago
Two equivalent expressions have the same _____ even though they may be written in different ways.
Svetach [21]

Answer:

Value

Step-by-step explanation:

Value because order can be different and they can still be the same!

For example, 3x+2 = 2+3x different order but still are equivalent!

x = -2/3, so their values are equivalent!

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

3 0
3 years ago
Read 2 more answers
If n + 7 = 10, evaluate 2n - 2<br> O 3<br> 0 17<br> 4<br> 6
Alexandra [31]

Answer:

The value of 2n - 2 is 4.

Step-by-step explanation:

Given the equation

n + 7 = 10

Subtract  7 from both sides of the equation

n+7-7=10-7

Simplify

n=3

Now substituting n = 3 in the equation

2n - 2 = 2(3) - 2

          = 6 - 2

          = 4

Therefore, the value of 2n - 2 is 4.

5 0
2 years ago
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