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3 years ago

Consider this right triangle with given measures.

Mathematics

2 answers:

MrMuchimi3 years ago

8 0

Answer:

The answer is actually 39

Step-by-step explanation:

on edge

statuscvo [17]3 years ago

4 0

Answer:

The answer is 6 feet.

Step-by-step explanation:

Let's take a right angled triangle ABC which has 3 sides of lengths a, b and c. c is the longest side or the hypotenuse.

Then by Pythagoras rule:

$a^{2} +b^{2} =c^{2}$

Let's take the length of the unknown leg in the figure as $x$ .

Now lets substitute the values from the figure to above equation.

$x^{2} +5^{2} =\sqrt{61} ^{2}$

= $x^{2} +25 =61$

= $x^{2} =61-25$

= $x^{2} =36$

= $x=6$ or $x=-6$

Length of a triangle cannot be a negative value, so we can take +6 as the value of x.

So the answer is 6 feet.

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For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv

Viktor [21]

Splitting up [0, 3] into $n$ equally-spaced subintervals of length $\Delta x=\frac{3-0}n = \frac3n$ gives the partition

$\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]$

where the right endpoint of the $i$ -th subinterval is given by the sequence

$r_i = \dfrac{3i}n$

for $i\in\{1,2,3,\ldots,n\}$ .

Then the definite integral is given by the infinite Riemann sum

$\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}$

8 0

2 years ago

Solve for the roots in simplest form using the quadratic formula:<br>4x2 – 12x = -5

Art [367]

Answer:

x=2.5&.5

Step-by-step explanation:

The quadratic formula is (-b+or-sqrt(b^2-4ac)/2a

12+or-sqrt((-12^2)-4(4)(5))

12+or-sqrt(144-80)

12+or-sqrt(64)

(12+8)/8 and (12-8)/8

x=2.5 and x=.5

7 0

3 years ago

Read 2 more answers

Brooklyn has sold 70% of the 20 candy bars she is supposed to sell for her basketball team. How many candy bars did she sell alr

romanna [79]

Answer:

14 candy Bars

Step-by-step explanation:

Let's under the question before we attempt it.

Total number of Candy Brooklyn is supposed to sell = 20

Percentage of Candy Bars sold= 70%

To know the exact number of Candy sold, it's means we must know the exact value of 70% of 20.

To solve this, we just proceed with mathematical operations.

Therefore:

70% of 20

= 70 / 100 * 20

= 1400 / 100

= 14.

It therefore means that, Brooklyn sold 14 Candy Bars

Math is fun! Lets Keep learning

7 0

3 years ago

Solve by factoring : x^2-5x-36=0

il63 [147K]

Answer:

-9 and +4 are the factors

Step-by-step explanation:

-9 times +4 is -36 and if you add +4 to -9, you get -5.

After this your function will look like this:

$x^2-9x+4x-36$

and then:

$x(x-9)+4(x-9)$

so the answer is:

$(x-9)(x+4)$

3 0

2 years ago

Read 2 more answers

Greatest common factor for 3,27, and 33

Georgia [21]

Answer:

it's 3.

Step-by-step explanation:

Here's why........3 only has 2 factors 1 and it's self and 3 times 9 is 27 and 3 times 11 is 33 they all have 3 as a factor.

7 0

3 years ago