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Luba_88 [7]
4 years ago
7

Please please please help me with this. I can't remember how to work this problem out. If someone could explain to me how to do

this problem that would be great.

Mathematics
1 answer:
RideAnS [48]4 years ago
6 0
If the two triangles are congruent it means that their side lengths are equal, so we can assume that x = 3x - 8 and so 2x = 8 and x = 4. Hope that helps :)
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After 5 years, what is the total amount of a compound interest investment of $32,000 at 3% interest, compounded quarterly?
Nataliya [291]
$37,157.89 Hope that helps!
6 0
4 years ago
Peter rolls a fair dice 114 times. How many times would Peter expect to roll a number greater than 1?
Natalka [10]

Answer:

A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).

Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)

Hope this helps!

:)

6 0
3 years ago
in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alpha
algol13

118,813,760 different combination license plates can the country produce

<h3 /><h3>permutations and combinations:</h3>

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.

given that

in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet

X = 10 × 26 × 26 × 26 × 26 × 26

  = 10 × 11881376

  = 118,813,760

118,813,760 different combinations license plates can the country produce

To learn more about combinations:

brainly.com/question/19692242

#SPJ4

3 0
1 year ago
Given the equation of the line y+3=4/5(x+10) what is the slope
Stells [14]
The slope is 4/5
You would get the equation in y = mx + b form
m (slope) will be the coefficient of x
6 0
3 years ago
Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of
3241004551 [841]

Answer:

c

Step-by-step explanation:

Given that:

\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}

since cos (kπ) = -1^k

Then, the  series can be expressed as:

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its (n+1)^{th term.

∴

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(3+1)}(3+1))}{(3+1)^3+2}

\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(4)}(4))}{(4)^3+2}

= \dfrac{4}{64+2}

=\dfrac{2}{33}

5 0
3 years ago
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