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2 years ago

What is the formula for finding lateral area?

Mathematics

2 answers:

pantera1 [17]2 years ago

7 0

Answer:

lateral area = 2 pi r h

It is the circumference of the base times the height. Have a great day

Step-by-step explanation:

makkiz [27]2 years ago

3 0

<span>you can find the </span>area<span> of each triangle, A = 1/2bh or A = 1/2lw, then multiply by the number of triangles, which would be based on the number of sides of the base; or you can take half the perimeter and multiply by the slant height.</span>

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10 points! What is the slope of the given line?

aleksklad [387]

Answer:

-5/2

Step-by-step explanation:

8 0

2 years ago

Two problems here I need solved! I need every step, so please have that with your answers!!

Free_Kalibri [48]

QUESTION 1

We want to solve,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}$

We factor the denominator of the fraction on the right hand side to get,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.$

This implies
$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.$

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}$

We multiply through by LCM of
$(x-4)(x - 2)$

$(x - 2) + x(x-4) = 2$

We expand to get,

$x - 2 + {x}^{2} - 4x= 2$

We group like terms and equate everything to zero,

${x}^{2} + x - 4x - 2 - 2 = 0$

We split the middle term,

${x}^{2} + - 3x - 4 = 0$

We factor to get,

${x}^{2} + x - 4x- 4 = 0$

$x(x + 1) - 4(x + 1) = 0$

$(x + 1)(x - 4) = 0$

$x + 1 = 0 \: or \: x - 4 = 0$

$x = - 1 \: or \: x = 4$

But
$x = 4$
is not in the domain of the given equation.

It is an extraneous solution.

$\therefore \: x = - 1$
is the only solution.

QUESTION 2

$\sqrt{x+11} -x=-1$

We add x to both sides,

$\sqrt{x+11} =x-1$

We square both sides,

$x + 11 = (x - 1)^{2}$

We expand to get,

$x + 11 = {x}^{2} - 2x + 1$

This implies,

${x}^{2} - 3x - 10 = 0$

We solve this quadratic equation by factorization,

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x + 2)(x - 5) = 0$

$x + 2 = 0 \: or \: x - 5 = 0$

$x = - 2 \: or \: x = 5$

But
$x = - 2$
is an extraneous solution

$\therefore \: x = 5$

7 0

3 years ago

What is the exact distance from (−4, −2) to (4, 6)?

Gekata [30.6K]

The distance between any two points is:

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(6--2)^2+(4--4)^2

d^2=8^2+8^2

d^2=64+64

d^2=128

d=√128 units

6 0

3 years ago

Which is most likely the correlation coefficient for the set of data shown?

bearhunter [10]

Answer:

-.91

Step-by-step explanation:

I'm not 100% sure, because i don't have graphing calculator on me, but the correlation coefficient is how well the line of best fit goes with the data, and the data points on the graph look like they match the line. The closer the correlation coefficient is to 1 or -1, means that it has a strong correlation coefficient. It's negative because the slope of the line is negative. If you really want to make sure, you can plug it into a graphing calculator in STAT.

4 0

3 years ago

Read 2 more answers

To put up several tents for a camping trip, you need several pieces of rope each 6 2/3 feet long. If you have a rope that is 43

Otrada [13]

$\bf 43\div 6\frac{2}{3}\implies \cfrac{46}{6\frac{2}{3}}\implies \cfrac{\frac{46}{1}}{\frac{6\cdot 3+2}{3}}\implies \cfrac{\frac{46}{1}}{\frac{20}{3}} \implies \cfrac{46}{1}\cdot \cfrac{3}{20}\implies \cfrac{69}{10}
\\\\\\
\boxed{6\frac{9}{10}}\qquad \qquad 
\cfrac{6\cdot 10+9}{10}\implies \cfrac{69}{10}$

3 0

3 years ago