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4 years ago

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When a projector is placed 10 meters from a screen as shown, it produces an image 3 meters high. If the tallest image that the p

rojector can produce without distortion is 4.5 meters high, what is the maximum distance the projector can be placed from the screen? 12 meters

1 answer:

Andreyy894 years ago

4 0

15 meters

Create an inequality that looks like this:

3/4.5 = 10/x

Then cross multiply and solve for x.

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Calculus - need work shown

Trava [24]

$\frac{ - 1}{2} [\cos(8x(x + 3))]+ c$

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3 years ago

Read 2 more answers

Can someone please answer and explain please ILL MARK BRAINLIEST

Dafna11 [192]

Step-by-step explanation:

So, assuming that x would be the number of miles towed, this word problem gives us two linear equations:

One for Brook's Body Shop, which is y = 3x + 25

And one for Morgan Motors, which is y = 5x

We see that these two lines intersect at the point (12.5, 62.5). Remember that the x-value stands for the number of miles. So, at 12.5 miles, both companies charge the same rate.

This means that Morgan Motors is cheaper for any number of miles less than 12.5. In contrast, Brook's Body Shop is cheaper for any number of miles more than 12.5.

In conclusion, if you had to be towed less than 12.5 miles, you should go to Morgan Motors because they are cheaper for short distances. If you had to be towed more than 12.5 miles, you should go to Brook's Body Shop because they are cheaper for longer distances.

7 0

3 years ago

Let a, b, c be the lengths of sides of a triangle; a=4.8, b=0.23, and c is a whole number. Find c.

BaLLatris [955]

$\sqrt{4.8 {}^2{ +0.23 {}^{2} } }$
If you solve it, the answer will be

C= 4.80

Seeing as its supposed to be a whole number, you will round up, so it will be 5

4 0

3 years ago

Find the inverse function in slope-intercept form (mx+b):<br> f(x)=-3/5x+6

ruslelena [56]

Answer:

$f^{-1}(x)=-\frac{5}{3} x+10$

Step-by-step explanation:

Steps to find the inverse function:

1) replace f(x) with "y"

$y=-\frac{3}{5} x+6$

2) solve for x:

$y-6=-\frac{3}{5} x\\x=-\frac{5}{3}(y-6)\\ x=\frac{5}{3} (6-y)\\x=-\frac{5}{3} y+10$

3) replace "x" with $f^{-1}(x)$ , and y with x:

$f^{-1}(x)=-\frac{5}{3} x+10$

6 0

3 years ago

The 3rd term of a geometric sequence is -1/3 and the 8th term is 81. what is the 11th term?

shepuryov [24]

Answer: $t_{11}=-2187$

Step-by-step explanation:

$t_{3}=-1/3$

That is :

$ar^{2} = -1/3$ ................. equation 1

Also

$t_{8}=81$

that is

$ar^{7}=81$ ................. equation 2

divide equation 2 by equation 1 , that is

$\frac{ar^{7}}{ar^{2}} = 81 / -1/3$

$r^{5}=$ $81$ x $-3/1$

$r^{5}= -243$

find the fifth root of both sides

$r = -3$

substitute $r = -3$ , into equation 1 to find a , that is

$a(-3^{2})= -1/3$

$9a = -1/3$

multiply through by 3

$27a = -1$

$a =- 1/27$

To find the 11th term , the formula for the 11th term is given as :

$t_{11}=ar^{10}$

$t_{11}= -1/27(-3^{10})$

$t_{11}=-2187$

6 0

4 years ago