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3 years ago

What's the value of x in the figure? A) 78° B) 57° C) 76° D) 33°

Mathematics

1 answer:

Akimi4 [234]3 years ago

5 0

Answer:

x = 78

Step-by-step explanation:

57° + x° = 135° (alternate angles, // lines)

x = 135 - 57

= 78

I hope this helps :)

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Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 0.01 0.1 0.001

Zinaida [17]

Answer:

$\frac{1}{10}$

Step-by-step explanation:

$a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001$

$r = \frac{a_2}{a_1}$

$r = \frac{0.01}{0.1}$

$r=0.1$

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3 years ago

If 60 newspapers cost $27, find the cost of 16

Tju [1.3M]

16 newspapers cost $7.20

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3 years ago

Solve the right triangle. Round decimal answers to the nearest tenth. find the sides and angles

babymother [125]

Answer:

b = 12.6

Step-by-step explanation:

a*2 + b*2 = c*2

6*2 + b*2 = 14*2

36 + b*2 = 196

Subtract 36 from both sides

36 + b*2 = 196

-36 -36

b*2 = 160

Find the square root of both

b = 12.64911064 or 12.6

4 0

3 years ago

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

navik [9.2K]

Answer: $28\ cubes$

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.

The formula for calculate the volume of a rectangular prism is:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

We 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:

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

Then the volume of the shipping box is:

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

Now, 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. This is:

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

6 0

3 years ago

CAN SOMEONE PLEASE HELP ITS DUE TODAY

nikdorinn [45]

Answer:

n = 6

Step-by-step explanation:

$\frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6$

7 0

2 years ago

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