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1 year ago

Find surface area of the prism. Thanks.

Mathematics

2 answers:

Sedbober [7]1 year ago

8 0

I think the surface area is 38

elena-14-01-66 [18.8K]1 year ago

6 0

The surface area is 38. Hope this helps! :D

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You want to rent movies online, The new service charges a sign up fee of $10, Then,

gavmur [86]

Answer:

y=12x+10 or f(x)=12x+10

Step-by-step explanation:

If it costs $12 per month to rent as many movies as you want, then that can be represented as 12x

Since $10 is a flat fee and doesn't change, this gets added seperately to 12x

Thus, the final equation is y=12x+10 or f(x)=12x+10

Hope this helped!

3 0

2 years ago

Read 2 more answers

Evaluate the limit of sequence:

mr_godi [17]

Rationalize both the numerator and denominator. Given

$\dfrac{\sqrt a-\sqrt b}{\sqrt c-\sqrt d}$

we can rationalize it by introducing conjugates of the numerator and denominator:

$\dfrac{\sqrt a-\sqrt b}{\sqrt c-\sqrt d} \cdot \dfrac{\sqrt a+\sqrt b}{\sqrt a+\sqrt b} \cdot \dfrac{\sqrt c+\sqrt d}{\sqrt c+\sqrt d} \\\\ = \dfrac{\left(\sqrt a\right)^2 - \left(\sqrt b\right)^2}{\left(\sqrt c\right)^2-\left(\sqrt d\right)^2} \cdot \dfrac{\sqrt c+\sqrt d}{\sqrt a + \sqrt b} \\\\ = \dfrac{a-b}{c-d} \cdot \dfrac{\sqrt c+\sqrt d}{\sqrt a + \sqrt b}$

Then the limit is equivalent to

$\displaystyle \lim_{n\to\infty} \frac{(n+3)-n}{(n+1)-n} \cdot \dfrac{\sqrt{n+1}+\sqrt n}{\sqrt{n+3}+\sqrt n} = 3 \lim_{n\to\infty} \dfrac{\sqrt{n+1}+\sqrt n}{\sqrt{n+3}+\sqrt n}$

For the remaining expression, divide through uniformly by $\sqrt n$ :

$\dfrac{\sqrt{n+1}+\sqrt n}{\sqrt{n+3}+\sqrt n} = \dfrac{\sqrt{1+\frac1n} + 1}{\sqrt{1+\frac3n}+1}$

As n goes to infinity, the remaining terms containing n converge to 0, leaving

$\dfrac{\sqrt{1}+1}{\sqrt1+1} = \dfrac22 = 1$

making the overall limit 3.

8 0

1 year ago

A system has infinite solutions. Which statement is NOT true?

Tems11 [23]

Answer:

A Is the Answer to this problem

Step-by-step explanation:

B is true. C is true. D is true because the are parallel

3 0

2 years ago

You rented a beach umbrella for 6 days. The first day was $20, each day afterwards the cost dropped by $2 a day. What did you sp

zlopas [31]

Answer:

$90

Step-by-step explanation:

You pay $20 the first day, then subtract $2 each day. Add the numbers up to get the total. 20+(20-2)18+(18-2)16+(16-2)14+(14-2)12+(12-2)10=90

Answer: $90

8 0

2 years ago

S is the midpoint of RT, RS = 2x + 4, and RT = 8x. Find ST.

butalik [34]

Answer:

8 units

Step-by-step explanation:

Since S is the midpoint of RT,

RS+ ST= RT

RS= ST

2RS= RT

Substituting the given information,

2(2x +4)= 8x

Expand:

2(2x) +2(4)= 8x

4x +8= 8x

Bringing x terms to one side of the equation:

8x -4x= 8

Simplify:

4x= 8

Divide both sides by 4:

x= 8 ÷4

x= 2

= RS

= 2x +4

= 2(2) +4

= 4 +4

= 8 units

5 0

2 years ago