Ask question

Ask question

All categories

3 years ago

14

The proper height of a highway guardrail is 27 inches, but 3 inches higher or lower is acceptable. Which inequality represents t

he acceptable heights, h, of a highway guardrail?
A.|h+27|≤3
B.|h−3|≤27
C.|h+3|≤27
D.|h−27|≤3

1 answer:

andriy [413]3 years ago

3 0

Answer:

Step-by-step explanation:

27 is the "center" of a range of measurements of the height of the guard rail. The height could be as much as 30 inches or as little as 24 inches. The absolute value operator encloses "x - 27," where 27 is the "center." The acceptable excess or acceptable deficiency is 3 inches.

So now we can eliminate possible answers B and C, in both cases because 27 is inappropriately greater than 3.

Narrowing down our choices, we have h + 27 and h - 27 inside the absolute value operator. 27 is a positive quantity (height of the guard rail), so the inequality showing +27 as the "center" is correct; that is

D: |h - 27| ≤ 3 (measurements in inches).

You might be interested in

Help please and thanks! I'll award brainliest if you show your work as well :)

iren2701 [21]

Answer:

6 inches

Step-by-step explanation:

Formula for surface area of a cylinder:

$SA=2\pi r^{2} +2\pi rh$

Plug in values and solve for the radius:

$180\pi =2\pi r^{2} +2\pi r(9)\\$

Divide both sides by $2\pi$

$90=r^{2} +r(9)$

Subtract 90 from both sides

$0=r^{2} +9r-90$

Use the quadratic equation to find the roots

$x=(-b$ ± $\sqrt{b^2-4ac})*\frac{1}{2a}$ (sorry for formatting, Brainly doesn't

allow equations with ± in them)

$x=\frac{-9+\sqrt{9^2-4*1*90} }{2(1)}$ and $x=\frac{-9-\sqrt{9^2-4*1*90} }{2(1)}$

$x=\frac{(-9+\sqrt{81+360})}{2}$ and $x=\frac{(-9-\sqrt{81+360})}{2}$

$x=\frac{(-9+\sqrt{441})}{2}$ and $x=\frac{(-9-\sqrt{441})}{2}$

$x=\frac{(-9+21)}{2}$ and $x=\frac{(-9-21)}{2}$

$x=\frac{12}{2}$ and $x=\frac{-30}{2}$

$x=6$ and $x=-15$

We can't have a negative radius, so that leaves us with r=6 in.

8 0

2 years ago

If 24= 2f+3f+f, find f

VashaNatasha [74]

Answer:

6f = 24

f = 4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Alex buys a top of the line computer. He did not realize that the computer would lose value so fast. If his computer cost $1800.

Natali [406]

This can be solve by using the formula

D = P( 1 – i)^n

Where d is the depreciation value after n years

P is the initial value

i is the depreciation rate

n is the years

D = 1/3 ( 1800)

D = 600

So

600 = 1800 ( 1- 0.45)^n

Solve for n

<span>N = 1.83 years</span>

3 0

2 years ago

Blake recorded the number of minutes he ran on the treadmill each day for 2 weeks. His data is in

masya89 [10]

Answer:

5 minutes

Step-by-step explanation:

3 0

2 years ago

Convert 38degrees F to degrees celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas.

vekshin1

$F=38 \\ \\C= \frac{5}{9} (F-32)=\frac{5}{9} (38-32)=\frac{5}{9}\times6= \frac{30}{9} \approx 3.33$

8 0

3 years ago

Read 2 more answers