All categories

3 years ago

I need help please!!

Mathematics

1 answer:

ad-work [718]3 years ago

5 0

2x + 3x + 3x + 12 = 180° [Sum of all angles of a triangle is 180°]

=> 7 x = 180° - 12°

=> 7 x = 168°

=> x = $\frac{168}{7}$ °

=> x = 24°

$\\$

? = 2x + 3x

=> 2×24° + 3×24°

=> 48° + 72°

$\\\\\\$

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

You might be interested in

Write a quadratic function f(x) for the area of a rectangle length x+5 width 3x-7

Semmy [17]

The area of a rectangle is the product of its length and width.
$l=x+5 \\
w=3x-7 \\ \\
A=lw=(x+5)(3x-7)=3x^2-7x+15x-35=3x^2+8x-35 \\ \\
\boxed{f(x)=3x^2+8x-35}$

7 0

3 years ago

Illinois license plates used to consist of either three letters followed by three digits or two letters followed by four digits.

DENIUS [597]

Answer:

The probability that a randomly chosen plate contains the number 2222 is 0.000028 approximately.

The probability that a randomly chosen plate contains the sub-string HI is 0.002548 approximately.

Step-by-step explanation:

Consider the provided information.

Illinois license plates used to consist of either three letters followed by three digits or two letters followed by four digits.

Part (A)

Let A is the ways in which plates consist of three letters followed by three digits and B is the ways in which two letters followed by four digits.

Here repetition is allow. The number of alphabets are 26 and the number of distinct digits are 10.

The numbers of ways in which three letters followed by three digits can be chosen is: $26\times 26\times 26 \times 10 \times 10 \times10$

$26^3\times 10^3=17576000$

The numbers of ways in which two letters followed by four digits can be chosen is: $26\times 26\times 10 \times 10 \times 10 \times10$

$26^2\times 10^4=6760000$

Hence, the total number of ways are 17576000 + 6760000 = 24336000

Randomly chosen plate contains the number 2222 that means the first two letter can be any alphabets but the rest of the digit should be 2222.

Thus, the total number of ways that a randomly chosen plate contains the number 2222 number are: $26^2=676$

The probability that a randomly chosen plate contains the number 2222 is:

$\frac{676}{24336000} \approx 0.000028$

Part (B)

The number of ways in which chosen plate contains the sub-string HI:

If three letters followed by three digits plate contains the sub-string HI, then the number of possible ways are:

$26\times 1\times10^3+1\times 26\times10^3$

If two letters followed by four digits plate contains the sub-string HI, then the number of possible ways are:

$1\times 10^4$

Thus, the total number of ways that a randomly chosen plate contains the sub-string HI are:

$1\times 10^4+26\times 1\times10^3+1\times 26\times10^3$

$62000$

From part (A) we know that the total number of ways to chose a number plate is 24336000.

The probability that a randomly chosen plate contains the sub-string HI is:

$\frac{62000}{24336000} \approx 0.002548$

7 0

3 years ago

PLZ HELP HIVE BRAINLYWho got the better deal in the Columbian Exchange: the Europeans or the Native Americans? Why?

Vitek1552 [10]

Answer:

the Europeans got the better deal from the Colombian Exchange

Step-by-step explanation:

In general, one would have to say that the Europeans got the better deal from the Columbian Exchange in that it facilitated the eventual establishment of colonies in the New World. That's not to say that it was all one-way traffic; however, the people of the New World undoubtedly benefitted in both the short and long-term by the introduction of crops and livestock. But such benefits proved to be more keenly felt by subsequent waves of European settlers than America's indigenous population.

After all, it wasn't much good for Native-Americans to have all these crops and all this livestock if, in due course, there'd be less land available for their use due to increased colonization. The indigenous peoples also suffered terribly from the introduction of diseases such as measles and smallpox, for which they had no natural immunity. It's difficult, then, to avoid the conclusion that the Europeans got the better deal from the Columbian Exchange (as it was probably intended that they should).

simply -

The Natives did benefit, but only for a short while, and the Europeans benefited the most

Kono Dio Da!!!

7 0

4 years ago

Please Fraction help & explain

Anika [276]

Answer:

5/2

Step-by-step explanation:

Convert both fractions into improper fractions:

- To convert these fractions into an improper fraction you need to multiple the denominator with the mixed numeral/whole number. Then add that amount to the numerator. Do this for both fractions. This is what it should look like.

38/6 - 23/6.

The you subtract it

- 38/6 - 23/6 = 15/6

15/6 is your answer

If you want to simplify it the fraction it will be :

- 5/2

8 0

3 years ago

:)))) solve the following by factorizing: x^2-2x=120

stepladder [879]

Answer:

Step-by-step explanation:

$x^2 - 2x = 120\\x^2 - 2x - 120 = 0$

We have to find the factors of 120 that can either add up to or have a difference of 2.

The factors of 120 are:

$\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...$

The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:

$(x+10)(x-12)$

3 0

3 years ago