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3 years ago

Anyone can help me with this problem

Mathematics

1 answer:

Ann [662]3 years ago

5 0

Answer:

R=50 degrees

Step-by-step explanation:

All of the angle measures together are 180 degrees. You need to make an equation in order to solve this problem:

180= (3x+5) + (11x-1) + (5x+5)

You then combine like terms:

180= (3x+11x+5x) + (5-1+5)

180= 19x+9

Then, subtract 9 from 180:

171= 19x

Then, divide 171 by 19:

9= x

Finally, you plug the value of x into the equation representing angle R:

5 x 9 + 5

45 + 5

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Factor the expression completely <br> -15t-6

Tema [17]

In order to factor this, we will need to take something out to get it to factor. Lets take out a greatest common factor, in this case our greatest common factor will be 3.
We will then write it as:

-3(5t+2)

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2 years ago

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A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need

-Dominant- [34]

There are 10 number of 1 cubic inches box required to fill the container completely.

<h3>What is a cuboid?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.

The volume of the prism box = 4×4×3 = 48 cubic inches

Here some data are missing.

We are assuming there are 38 1 cubic inches box already in the big box.

So,

= 48 - 38

= 10

Thus, there are 10 number of 1 cubic inches box required to fill the container completely.

Learn more about the cuboid here:

brainly.com/question/9740924

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3 0

1 year ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%20%7B%2018%20%5E%20%7B%20n%20%2B%201%20%7D%20%5Ctimes%203%20%5E%20%7B%201%20-%20n%20%7

Rufina [12.5K]

Answer:

$4 \times {3}^{n + 3}$

Step-by-step explanation:

$\frac{ {18}^{n + 1} \times {3}^{1 - n}}{ {2}^{n - 1} }$

$\frac{ {3}^{2n + 2} \times {2}^{n + 1} \times {3}^{1 - n} }{ {2}^{n - 1} }$

${3}^{2n + 2} \times {2}^{2} \times {3}^{1 - n}$

${3}^{2n + 2} \times 4 \times {3}^{1 - n}$

$= 4 \times {3}^{n + 3}$

8 0

2 years ago

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________________________

xenn [34]

✩ Answer:

✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

$\bold{Hello!}\\\bold{Your~answer~is~below!}$

✩ Step-by-step explanation:

✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:

-3 ÷ -3 = Cancels Out
Turns into: $\frac{-9}{-3} >5x-2$

✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:

-9 ÷ -3 = 3
Turns into: $3 > 5x - 2$

✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:

Turns into: $5x-2$

✺ Add 2 to both sides:

Turns into: $5x$

✺ Add 3 and 2 to get 5:

3 + 2 = 5
Turns into: $5x$

✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:

5 ÷ 5 = Cancels Out
Turns into: $x$

✺ Divide 5 by 5 to get 1:

5 ÷ 5 = 1

✺ So your answer is B, $\boxed{x$ .

(Number line is below.)

$Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex$

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2 years ago

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Find the standard deviation of 21, 31, 26, 24, 28, 26

Vesnalui [34]

Given the dataset

$x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}$

We start by computing the average:

$\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26$

We compute the difference bewteen each element and the average:

$x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}$

We square those differences:

$(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}$

And take the average of those squared differences: we sum them

$\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69$

And we divide by the number of elements:

$\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5$

Finally, we take the square root of this quantity and we have the standard deviation:

$\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39$

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3 years ago