Ask question

Ask question

All categories

2 years ago

11

Question 19 I know the answer is 1.5 but how

1 answer:

katrin2010 [14]2 years ago

5 0

Suppose the width of the path is x.
the dimensions of the extended rectangle are (12+x+x), and (16+x+x)
(12+2x)(16+2x)=285
4x²+56x+192=285
4x²+56x-93=0
Not easy to factor it, so use the quadratic formula to solve:
x={-56+√[(56²-4*4*(-93)]}/2*4 or x={-56-√[(56²-4*4*(-93)]}/2*4
x=1.5 (ignore the negative solution.)

You might be interested in

Based on the given angle measures, which triangle has side length measures that could be correct?

Likurg_2 [28]

Answer

The triangle in the figure 4 is correct .

Reason

by using the trignometric identity

$tan\theta = \frac{Perpendicular}{Base}$

Thus

$tan 30^{\circ} = \frac{Perpendicular}{Base}$

$tan 30 ^{\circ} =\frac{1}{\sqrt{3}}$

Now in the figure (1)

$tan 30^{\circ} = \frac{13.9}{8}$

$\frac{1}{\sqrt{3}} = \frac{13.9}{8}$

on simplify

$0.5774 \neq 1.7375$

thus side length measures in the figure (1) is not correct .

Now in the figure (2)

$tan30^{\circ} =\frac{16}{8} \\ \frac{1}{\sqrt{3}} =\frac{16}{8} \\ 0.577 \neq 2$

thus side length measures in the figure (2) is not correct .

Now in the figure (3)

$tan 30 ^{\circ} = \frac{8}{16} \\ \frac{1}{\sqrt{3}} =\frac{8}{16} \\ 0.577\neq0.5$

thus side length measures in the figure (3) is not correct .

Now in the figure (4)

$tan30^{\circ} = \frac{8}{13.9} \\ \frac{1}{\sqrt{3}} =\frac{8}{13.9}\\ 0.577 = 0.576(approx)$

Therefore the figure (4) is correct triangle has side length measures that could be correct

Hence proved

8 0

2 years ago

Read 2 more answers

Y=10x <br> Graph the function

andrew11 [14]

The slope is 10
since it doesn't say anything after the 10x, the y-intercept is at (0, 0)

5 0

3 years ago

Read 2 more answers

Please solve ASAP!<br> (⁴√9)(√9) ÷ ⁴√9⁵

-Dominant- [34]

Answer:

$(\sqrt[4]{9})(\sqrt{9})\div \sqrt[4]{9^5}=\frac{\textbf{1}}{\sqrt{\textbf{9}}}$

Step-by-step explanation:

Given expression is

$(\sqrt[4]{9})(\sqrt{9})\div \sqrt[4]{9^5}$

The above expression can be written as

$\frac{(9)^{\tfrac{1}{4}}(9^{\tfrac{1}{2}})}{(9^5)^{\tfrac{1}{4}}}$

$=\frac{9^{\tfrac{1+2}{4}}}{9^{\tfrac{5}{4}}}$ (by using the formula $a^m\times a^n=a^{m+n}$ )

$=9^{\tfrac{3}{4}}\times 9^{\tfrac{-5}{4}}$ (by using the formulae ${(a^m)}^n=a^{mn}$ and $\frac{a^m}{a^n}=a^{m-n}$ )

$=9^{\tfrac{-2}{4}}$

$=9^{\tfrac{-1}{2}}$

$=\frac{1}{9^{\tfrac{1}{2}}}$

$(\sqrt[4]{9})(\sqrt{9})\div \sqrt[4]{9^5}=\frac{\textbf{1}}{\sqrt{\textbf{9}}}$

4 0

3 years ago

The amount is 2.88 is ( percent of what price?

Ket [755]

Answer:

Discount = Original Price x Discount %/100

Discount = 2.88 × 1/100

Discount = 2.88 x 0.01

You save = $0.03

Final Price = Original Price - Discount

Final Price = 2.88 - 0.0288

Final Price = $2.85

4 0

3 years ago

The graph of y=-3x+4 is:<br> pls pls pls help

frutty [35]

Answer:

D. A line that shows only one solution to the equation

4 0

2 years ago