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3 years ago

the length of a rectangle is 6 meters longer than its width if the parameter of the rectangle is 40 meters find its area

1 answer:

8 0

2(x+6) + 2(x) =40
2x +12+2x=40
4x+12=40
4x=28
x=7
Now to find area it is LxW

7x13=91

So the area of the rectangle is 91 meters squared

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EFV and EDW are straight lines. Find the value of x and of y.

Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

E = x
F = 130
G = 170
H = 65
D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

T = y
H = 65
S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0

3 years ago

What is 245,893 in scientific notation

s2008m [1.1K]

The goal of writing a number in scientific notation is to have a decimal number, with one digit to theleft of the decmial point, followed by a × 10to some power.

To format your number in this way, we'll divide the 245,893 by 10, 2time(s), making it a 2.45.
We do this, because each division by 10 moves the decimal point to the left one digit.
But in order to keep our number the same number, we must have a × 102next to the 2.45.

So, the final answer is 2.45 × 102 (: Hope im right!

3 0

3 years ago

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig

Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let $\mu$ denotes the average hours of sleep per night.

As per given , we have

$H_0:\mu=7\\H_a:\mu$

, since $H_a$ is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : $\overline{x}=7.24$

Sample standard deviation : s= 1.93

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

i.e. $t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58$

For significance level $\alpha=0.05$ and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= $t_{\alpha, df}=t_{0.05,21}=- 1.7207$

Decision : Since the test statistic value (0.58) > critical value 1.7207, it means we are failed to reject the null hypothesis .

[Note : When $|t_{cal}|>|t_{cri}|$ , then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0

3 years ago

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

Greeley [361]

Answer:

4y^2 + 14y + 34

I hope this helps :)

4 0

3 years ago

15 POINTS

egoroff_w [7]

Answer:

D. 1/4^5

Step-by-step explanation:

when you add the two, you get 4^-5. since you cannot take a number to a negative power, you have to change the equation to the inverse which is 1/4^5

4 0

4 years ago

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the length of a rectangle is 6 meters longer than its width if the parameter of the rectangle is 40 meters find its area​

the length of a rectangle is 6 meters longer than its width if the parameter of the rectangle is 40 meters find its area