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Tomtit [17]
4 years ago
5

The diagonal of a square is 2 inches.Find the area of the square.

Mathematics
1 answer:
Lyrx [107]4 years ago
5 0
In a 45 45 90 triangle the sides are x by x by x*sqrt(2) respectively

therefore  x*sqrt(2) = 2   [the 2 that was mentioned in the question]

solving for x
x = 2 / sqrt(2) = sqrt(2)     [after rationalizing the denominator]

x = sqrt(2)    is now our side length

Area of Square = (side length)^2
so the Area of this Square = (sqrt(2))^2 = 2

therefore your answer is 2
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Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16
tangare [24]

Answer:

(d)

Step-by-step explanation:

Given

h(t) = -16t^2 + 96t

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

x = (0,0) and x = (6,0)

These represent the start and end of the ball that is launched.

Hence, (d) is true

5 0
3 years ago
is it possible to draw a tringle with 90 Angle and one leg that is 8 centimeters long and one leg that is 6 centimeters long? is
Delvig [45]
Yes it is The hypotenuse  is  10 cms long.
Because its a right angled triangle ( 90 angle)  the hypotenuse will be 10 cms long - it will obey the Pythagoras theorem:-

10^2 = 8^2 + 6^2

There is only one  right angled triangle with these measurements but there are many  of them which have sides in same ratio

for example 

3, 4 and 5

9,12 and 15

12, 16 and 20  and so on..
5 0
4 years ago
A sample of 56 research cotton samples resulted in a sample average percentage elongation of 8.63 and a sample standard deviatio
ss7ja [257]

To solve for the confidence interval for the true average percentage elongation, we use the z statistic. The formula for confidence interval is given as:

Confidence interval = x ± z σ / sqrt (n)

where,

x = the sample mean = 8.63

σ = sample standard deviation = 0.79

n = number of samples = 56

 

From the standard distribution tables, the value of z at 95% confidence interval is:

z = 1.96

 

Therefore substituting the known values into the equation:

Confidence interval = 8.63 ± (1.96) (0.79) / sqrt (56)

Confidence interval = 8.63 ± 0.207

Confidence interval = 8.42, 8.84

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5 0
3 years ago
Five more than the product of two and a number,
never [62]

Answer:

It was difficult reading the question, as written.  Check my assumptions.

Step-by-step explanation:

"five more than the product of two and a number,

decreased by seven"

---

Let the "number" be a.

We are told "five more than . ." means +5,

"the product of two and a number" means 2a,

"decreased by seven" mean -7

Put the statements together to obtain:

+5+2a-7

Simplify to 2a-2

Evaluate when a = 8:

2a-2

2(8)-2

16-2

= 14

7 0
2 years ago
Select the linear equation represented in the graph
LiRa [457]

Answer:

B

Step-by-step explanation:

Since the line in the picture rises 1 unit for every 2 units it moves to the right, it has a slope of 1/2. Also, since it intersects the y axis at (0,3), the y intercept is 3. Therefore, the equation of the line is y=1/2x+3, or answer choice B. Hope this helps!

6 0
3 years ago
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