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Alla [95]
4 years ago
9

A rectangle has a perimeter of 48ft. The length and width are scaled by a factor 1.5. What is the perimeter of the resulting rec

tangle?
Mathematics
2 answers:
Norma-Jean [14]4 years ago
4 0
Find the sides by figuring out what makes sense I got two 19ft sides and two 5ft sides
So 19*1.5 is 28.5 so now you have two 28.5ft
Then 1.5*5 is 7.5 now you have two 7.5ft sides
28.5+28.5+7.5+7.5=72ft which is the new perimeter
Georgia [21]4 years ago
3 0
48=(2L+2W)

when increased in scale,
both sides are multiplied by the factor which is 1.5.
72 =1.5(2L+2W)
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Answer:

True

Step-by-step explanation:

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3 (x - 2) = 7 – (4 - x)​
larisa [96]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=92x=92

Decimal Form:

x=4.5x=4.5

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x=412x=412

7 0
4 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%20%2B%207%20%2B%207%20%3D%2012" id="TexFormula1" title="\sqrt{x + 7 + 7 = 12" alt=
Triss [41]

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Step-by-step explanation:

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6 0
3 years ago
(Uniform) Suppose X follows a continuous uniform distribution from 4 to 11. (a) Write down the PDF of X. (b) Find P(X ≤ 7). Roun
love history [14]

Answer:

a) f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

b) P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

c) P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

d) P(X >5 | X \leq 7)

And we can find this probability with this formula from the Bayes theorem:

P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5

Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

X \sim Unif (a=4, b =11)

Part a

The probability density function is given by the following expression:

f(x) = \frac{1}{b-a} , a \leq x \leq b

f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

Part b

We want this probability:

P(X \leq 7)

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}

And replacing we got:

P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

Part c

We want this probability:

P(5 < X \leq 7)

And we can use the CDF again and we have:

P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

Part d

We want this conditional probabilty:

P(X >5 | X \leq 7)

And we can find this probability with this formula from the Bayes theorem:

P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5

7 0
3 years ago
An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?
Tresset [83]

Answer:

42 degrees, and 48 degrees

Step-by-step explanation:

set up an equation to find x, the first angle measure

(x+6)+x=90

then simplify:

2x+6=90

2x=84

x=42

So, the first angle measure is 42, now to find the second angle measure, add 6 to 42, and you will get 48.

8 0
4 years ago
Read 2 more answers
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