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skad [1K]
1 year ago
14

a rectangle has a length of 12 units and an unknown width, x. using p to represent the perimeter and a to represent the area, wr

ite an equation for the perimeter of the rectangle and the area of the rectangle
Mathematics
1 answer:
Amanda [17]1 year ago
4 0
\begin{gathered} L\text{ = 12} \\ \text{Breadth / width = x} \\ \text{Area, a = L }\times\text{ B} \\ \text{              = 12 }\times\text{ a } \\ \text{              = 12a} \\ \text{Perimeter, P: = 2(L + B)} \\ \text{                   = 2(12 + x)} \\ \text{                   = 24 + 2x} \\  \end{gathered}

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The percent he crashed was 33 percent
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marin [14]

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7 0
3 years ago
Select the correct answer.<br> Which function is the inverse of f(x) = -x^3 - 9?
joja [24]

Answer:

(2)

Step-by-step explanation:

Let f(x) = y → f-¹(x) = f(y) = x, f(y) is the inverse of f(x)

Thus,

=> -x³ - 9 = y

=> - y - 9 = x³

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4 0
2 years ago
A survey claims that a college graduate from Smith College can expect an average starting salary of $ 42,000. Fifteen Smith Coll
jek_recluse [69]
<h2>Answer with explanation:</h2>

Let \mu be the average starting salary ( in dollars).

As per given , we have

H_0: \mu=42000\\\\ H_a:\mu

Since H_a is left-tailed , so our test is a left-tailed test.

WE assume that the starting salary follows normal distribution .

Since population standard deviation is unknown and sample size is small so we use t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}} , where n= sample size , \overline{x} = sample mean , s = sample standard deviation.

Here , n= 15 , \overline{x}=  40,800  , s= 225

Then, t=\dfrac{40800-42000}{\dfrac{2250}{\sqrt{15}}}\approx-2.07

Degree of freedom = n-1=14

The critical t-value for significance level α  = 0.01 and degree of freedom 14 is 2.62.

Decision : Since the absolute calculated t-value (2.07) is less than the  critical t-value., so we cannot reject the null hypothesis.

Conclusion : We do not have sufficient evidence at 1 % level of significance to support the claim that  the average starting salary of the graduates is significantly less that $42,000.

3 0
2 years ago
Free Brainliest! **PLEASE HELP**
Arturiano [62]

a^2+16^2=20^2

a^2+256=400

Subtracting 256 from both sides

a^2=144

Taking squareroot both sides

a= \sqrt144

a = \sqrt2.2.3.2.2.3

a=12

Therefore length of missing leg is


a = 12 units

8 0
3 years ago
Read 2 more answers
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