Can anyone help me with this problem? If you can include the steps, please do! Thanks :)

Mathematics

1 answer:

8090 [49]4 years ago

3 0

Answer:1=70 2=65 3=95

Step-by-step explanation:

Angles in a triangle add up to 180°

180-45=135-65=70

1=70°

Angles on a straight line add up to 180°

180-45=135-70=65

2=65°

Angles in a triangle add up to 180°

180-65=115-20=95

3=95°

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PLEASE HELP!! I will give BRAINLIEST!! What is the range of possible sizes for side x?

Novay_Z [31]

Answer:

.5 < x < 16.5

Step-by-step explanation:

The smallest x can be is greater than the difference of the other two sides

8.5 -8 = .5

The largest x can be the less than the sum of the two sides

8.5+8 = 16.5

.5 < x < 16.5

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Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. How many 1/6 foot cubic boxes can she fit int

alexandr402 [8]

Answer: 28 cube boxes.

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

You need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.

The denominator does not change.

Then:

$1\ \frac{1}{6}=\frac{(1*6)+1}{6}=\frac{7}{6}$

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

$V_2=(\frac{7}{6}\ ft)(\frac{1}{3}\ ft)(\frac{1}{3}\ ft)=\frac{7}{54}\ ft^3$

Finally, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$