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Nina [5.8K]
3 years ago
7

Kurt is building a rectangular deck. if the dimensions of the deck are 10 ft by 23 ft, what the length of the diagonal of the de

ck?
Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0
The length of the diagonal of the deck can solved using the pythagorean theorem because the diagonal the sides of a rectangle will form a right triangle. pythagorean theorem states that
C^2 = B^2 + A^2
where C is the hypotenuse or the diagonal of the rectangles
B and A are the sides of the rectangle

C^2 = 10^2 + 23^3
C^2 = 629
C = 25.08 ft

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The test statistic of z equals = 2.37 2.37 is obtained when testing the claim that p greater than > 0.1 0.1. a. Identify the
Serjik [45]

Answer:

Right tailed, 0.0089, reject.

Step-by-step explanation:

Given that The test statistic of z equals = 2.37  is obtained when testing the claim that p greater than > 0.1

we see that whenever claim is > it is right tailed.  And whenever p <alpha we reject H0

a) Since claim is p>0.1 this is right tailed test.

b) For z =2.37 p value is 0.5-0.4911\\0.0089

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4 0
4 years ago
Write the equation of the graph shown below in factored form.
tigry1 [53]

Answer:

The answer is B.

Step-by-step explanation:

Graph it on Desmos.

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3 0
3 years ago
A school newspaper decides to survey all the students enrolled in a gym class to determine the percentage of these students who
pishuonlain [190]

Answer:

A sudents who take gym class

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the survey only asks for all the students enrolled in a gym class so they can compare with the data for all the students enrolled in the football team

3 0
3 years ago
Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the obj
aev [14]

The force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

From the question,

We are to determine the force the object will exert.

From the information,

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let acceleration be a

and

Force be F

Then we can write that,

F ∝ a

Then,

Introducing the constant, mass, m

We get

F = ma

Now, we will determine the mass of the object

F = 15 N

a = 3 m/s²

Putting the parameters into the formula, we get

15 = m × 3

∴ m = 15 ÷ 3

m = 5 kg

The mass of the object is 5 kg.

Now, to determine the force the same object will exert if it accelerates at a rate of 7 m/s²

That is,

a = 7 m/s²

and

m = 5 kg

Putting the parameters into the formula, we get

F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

Learn more here: brainly.com/question/13590154

4 0
2 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four times
prohojiy [21]

Answer:

{36, 66, 78}

Step-by-step explanation:

Let the measures of the three angles be f, s and t, for first, second and third.  Then s + t = 4f, t = 12 + s, and f + s + t = 180.

Subbing 12 + s for t in the first equation, we get s + 12 + s = 4f.

Subbing the same in the third equation, we get f + s + 12 + s = 180

This results in two equations in two unknowns (f and s):

2s - 4f = -12

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Let's eliminate s by subtracting the first of these two equations from the second.  Doing so yields 5f = 180.  Then the first angle, f, or x, is 36.

Then, from 2s + f = 168, we get 2s + 36 = 168, or 2s = 132.  Thus, the second angle is s = y = 66.

The sum of the three angles must be 180.  Thus, 36 + 66 + t = 180, or

102 + t = 180, or t = z = 78.

The three angles are

{36, 66, 78}.

3 0
3 years ago
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