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ehidna [41]
3 years ago
9

For what value of x is the area of the rectangle greater than the perimeter? The base of the perimeter is x+2

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0
If we call the area A, then A=7(x+2)=7x+14
if we call the perimeter P, then P=7*2+2(x+2)=2x+18
A>P
7x+14>2x+18
subtracting 14 gives 7x>2x+4
subtracting 2x gives 5x>4
dividing by 5 gives x>\frac{4}{5}
or x>0.8
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Shkiper50 [21]

Answer:

1) 1:04 am

2) 6:22 pm

3) 6:42 pm

4) 1:30 pm

5) 12:40 pm

6) 5:35 pm

7) 3:24am

8) 11:25 am

9) 6:42 am

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6 0
3 years ago
Find the equation of the line tangent to the function at the given point f(x)=5x^2 at x=10
Svet_ta [14]

f(x) = 5x²

f(10) = 5(10)²  = 5(100)  = 500

f'(x) = 10x

f'(10) = 10(10)   = 100  

Now, find the line that passes through (10, 500) and has a slope of 100

y - y₁ = m(x - x₁)

y - 500 = 100(x - 10)

y - 500 = 100x - 1000

        y = 100x - 500

8 0
3 years ago
What sample size is needed to give a margin of error within plus-or-minus 5% in estimating a population proportion with 90% conf
VARVARA [1.3K]

Answer: 271.

Step-by-step explanation:

When the prior population proportion of success is not available, then the formula to find the sample size is given by :-

n=00.25(\dfrac{z_{\alpha/2}}{E})^2

Given : Significance level : \alpha: 1-0.90=0.1

By using the standard normal distribution table ,

Critical value : z_{\alpha/2}=1.645

Margin of error : E=0.05

Then , the required minimum sample size will be :-

n=0.25(\dfrac{(1.645)}{0.05})^2=270.6025\approx271

Hence, the required minimum sample size is 271.

4 0
2 years ago
8^2 + b^2 = 10^2<br> what is b?<br> HELP HELP FAST
vodka [1.7K]

Answer:

2

Step-by-step explanation:

10^2 - 8^2 = B^2

B = 2

3 0
3 years ago
Read 2 more answers
Find the value of x.<br> B<br> A<br> 2<br> 30°<br> 5<br> 30°<br> 5<br> x = [?]<br> X<br> C<br> D
Alex73 [517]
4.4

Not sure if I'm right but I think it's 4.4. If I'm wrong I'm sorry, if someone can tell me if ik right that would be great. <3
4 0
1 year ago
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