13. Mark has a board that is 12 feet long. He

Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top o

Anuta_ua [19.1K]

Answer:

7.1

Step-by-step explanation:

write pythagorean theorem $x^{2}$ + $x^{2}$ = $10^2$

2 $x^2$ = 100

divide 2 both side:

$x^{2}$ = 50

$\sqrt{x^2}$ = $\sqrt{50}$

$x$ = $\sqrt{50}$

$x$ = 7.07106781

round to nearest tenth:

$x$ = 7.1

8 0

3 years ago

Help!! BRAINLIEST TOO!

natulia [17]

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

$m =\frac{y_2 - y_1}{x_2 - x_1}$

Pick any two corresponding points from the table

So, we have:

$(x_1,y_1) = (8,1.21)$

$(x_2,y_2) = (12,1.63)$

So:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1.63 - 1.21}{12 - 8}$

$m =\frac{0.42}{4}$

$m =0.105$

The linear equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y = 0.105 * (x - 8) + 1.21$

Open bracket

$y = 0.105x - 0.84 + 1.21$

$y = 0.105x + 0.37$

To get the length closest to 4.2lb,

we set $y = 4.2$

Then solve for x

So, we have:

$y = 0.105x + 0.37$

$4.2 = 0.105x + 0.37$

Collect like terms

$0.105x= 4.2 - 0.37$

$0.105x= 3.83$

Solve for x

$x= 3.83/0.105$

$x\approx 36.5$

4 0

3 years ago

Who can prove that ? :D prove that lim x about 0 (sin(x)/x)=1 by using sandwich theorem

earnstyle [38]

$cos (x) \leq \frac{sin (x)}{x} \leq 1$

Apply limit as x->0

8 0

3 years ago

Add the negatives. +4 - 3 - 4 + 2 - 1 I just dont get it

vfiekz [6]

Answer: -2

Step-by-step explanation:

since there are no multiplication you can simply go from left to right doing simple math. You start from a +4 that would be a positive 4, you subtract -3 so you get +1 then you subtract -4 and the result is -3 (negative 3) so now you are currently working with numbers lower than 0, adding +2 will make it -1 and finally you subtract for -1 and that will make it -2. Hope it's what u needed

4 0

3 years ago

Read 2 more answers

Need help with radical expression!!! It’s asking for a set of all x where the expression is defined in interval form!

gayaneshka [121]

Answer: (0, 25) ∪ (25, ∞)

Step-by-step explanation:

The expression is undefined when the denominator is equal to zero and when the radicand (expression inside the radical) is less than zero.

Let's deal with the denominator first by finding the x-values that would make the denominator equal to zero (these are the values that will NOT be included in the interval notation)

x - 5√x = 0

x = 5√x added 5√x to both sides

x² = 25x squared both sides

x² - 25x = 0 subtracted 25x from both sides

x(x - 25) = 0 factored the quadratic equation

x = 0 and x - 25 = 0 applied the Zero Product Property

x = 0 and x = 25 solved for x

So, x ≠ 0 and x ≠ 25

Next, let's deal with the radicand by setting the expressions inside the radicals to "greater than or equal to zero".

2√x and 5√x both have a radicand of x

x ≥ 0

Now, let's put it all together

x ≥ 0 and x ≠ 0 and x ≠ 25

so, x is between 0 and ∞ but not including 0 or 25.

Interval Notation: (0, 25) ∪ (25, ∞)

Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included. Infinity always uses a parenthesis since it is not an actual number.

6 0

3 years ago