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Slav-nsk [51]
3 years ago
14

What is the measure of AngleJHG? A protractor shows line J H G. An arc represents the angle between J H G. H G is horizontal to

the bottom of the protractor and line H J goes up to Point J at 70 degrees. The measure of AngleJHG is degrees.

Mathematics
2 answers:
Montano1993 [528]3 years ago
8 0

Answer:  m\angle JHG=70\°

Step-by-step explanation:  

The missing image is attached.

It is important to remember that a protractor is a measuring instrument that is used to measure angles in degrees.

Then, in order to measure an angle in degrees using a protactor, you can follow these steps:

1. You must place the center point of the protractor on the vertex of the angle.

2. Then, you must line up the base line of the proctactor with one side of the angle.

3. Finally, you can read the angle in degrees.

  In this case, you can observe in the image attached that the protractor is placed on the vertex "H" of the angle JHG.

Therefore, based on the explanation shown before, you can identify that the meausre in degrees of the angle JHG is the following:

m\angle JHG=70\°

FinnZ [79.3K]3 years ago
7 0

Answer:

just took the test, its 70

Step-by-step explanation:

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A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

7 0
3 years ago
what's the final volume of a gas with an initial volume of 75ml if the pressure decreases from 300ml to 200ml? A. 50.0ml B.112.5
aivan3 [116]
300 ml ... 200 ml
75 ml ... x = ?

If you would like to know what is the final volume of a gas, you can calculate this using the following steps:

300 * x = 200 * 75     /300
x = 200 * 75 / 300
x = 50.0 ml

The correct result would be A. 50.0 ml.
8 0
3 years ago
Read 2 more answers
A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
Varvara68 [4.7K]

Answer:

2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : \pi 10^{2} = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2\pi10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = 2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

6 0
3 years ago
How many solutions does the system have? \begin{cases} 5y =15x-40 \\\\ y = 3x-8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5y=15x−40 y=3x−8 ​ C
Ksenya-84 [330]

Answer:

(C) Infinitely many solutions

Step-by-step explanation:

Converting the lines into the from ax+by+c=0

5y=15x-40\\\Rightarrow 15x-5y-40=0

y=3x-8\\\Rightarrow 3x-y-8=0

\dfrac{a_1}{a_2}=\dfrac{15}{3}=5

\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5

\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5

So, \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}.

Hence, these lines have infinitely many solutions.

3 0
3 years ago
Help I’m doing a test.... what is 3(2x-9) =
eimsori [14]

Answer:

6x - 27

Step-by-step explanation:

3 x 2x - 3 x 9 =

6x - 27

Hope that helps!

5 0
3 years ago
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