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4 years ago

the length of a rectangle is 3 times the width. the area is 27 square centimeters. What is the length?

Mathematics

1 answer:

Inessa05 [86]4 years ago

8 0

Hello.

The answer is: 24

length=3*width, this can be written as 3w

area=27 sq cm

Formula for the area of a rectangle=27 (area)= 3w (length) * w (width)

27=3w^2

then divide both sides by 3: 9=w^2

take the square root of both sides to get: w=3

Now that we know what the width is, we can substitute that and find the length: 3w= 3*3=24

have a nice day

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The researchers have also determined that the current rate of the rise in water level is twice the 1880 to 2009 rate. assuming t

Elden [556K]

Answer:

x ≥ 2009
3.2x -6222.8
257.2 mm
year 2100

Step-by-step explanation:

1. The problem statement tells you the function applies for year values (x) 2009 and later. The domain is real numbers greater than or equal to 2009.

2. We can use the distributive property to eliminate parentheses:

3.2(x -2009) +206 = 3.2x -6428.8 +206

= 3.2x -6222.8

3. Put 2025 in the equation and do the arithmetic

g(2025) = 3.2·2025 -6222.8 = 257.2 . . . . mm

4. Put this value of level rise in the equation and solve for x.

g(x) = 3.2x -6222.8

500 = 3.2x -6222.8 . . put 500 mm where g(x) is in the equation

6722.8 = 3.2x . . . . . . . add 6222.8

x = 6722.8/3.2 = 2100.875

The water rise will be equal to about half a meter late in the year 2100.

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4 years ago

A country is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30

kondaur [170]

Answer:

We conclude that speed is greater than 30 miles per hour.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 miles per hour

Sample mean, $\bar{x}$ = 35 miles per hour

Sample size, n = 15

Alpha, α = 0.01

Sample standard deviation, s = 4.7 miles per hour

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ miles per hour}\\H_A: \mu > 30\text{ miles per hour}$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{35 - 30}{\frac{4.7}{\sqrt{15}} } = 4.120$

Now, $t_{critical} \text{ at 0.01 level of significance, 14 degree of freedom } = 2.624$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis and conclude that speed is greater than 30 miles per hour.

We calculate the p-value.

P-value = 0.00052

Since p value is lower than the significance level, we reject the null hypothesis and accept the alternate hypothesis. We conclude that speed is greater than 30 miles per hour.

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3 years ago

Ray SP bisects mZRST.<br> If m RSP = 3X – 2 and m PST = 9x -26<br> Answer: Find : mZRST

ludmilkaskok [199]

Answer:

RST = 20

Step-by-step explanation:

a ray that divides an angle into two equal angles is called an angle bisector.

So RSP = PST

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x = 4

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3 years ago

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3 years ago