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2 years ago

. In triangle JKL, ∠ J measures 25.8º, and ∠ K is a right angle. What is the measure of ∠ L?

Mathematics

1 answer:

Alina [70]2 years ago

8 0

Answer:

64.2

Step-by-step explanation:

Since a right triangle is equal to 90 degrees, you would subtract 25.8 from 90 to get your answer.

Hope this helps :)

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Sarah kicked a ball in the air. The function

Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

$f=30 t- 6t^{2}$ (1)

Where $f$ models the height of the ball in meters and $t$ the time.

Now, let's find the time $t$ when the ball Sara kicked hits the ground (this is when $f=0 m$ ):

$0=30 t- 6t^{2}$ (2)

Rearranging the equation:

$6t^{2}-30 t=0$ (3)

Dividing both sides of the equation by $6$ :

$t^{2}-5 t=0$ (4)

This quadratic equation can be written in the form $at^{2}+bt+c=0$ , and can be solved with the following formula:

$t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ (5)

Where:

$a=1$

$b=-5$

$c=0$

Substituting the known values:

$t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)}$ (6)

Solving we have the following result:

$t=5 s$ This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0

2 years ago

Let p denote the proportion of students at a particular university that use the fitness center on campus on a regular basis. For

9966 [12]

Answer:

a) P-value = 0.0968

b) P-value = 0.2207

c) P-value = 0.0239

d) P-value = 0.0040

e) P-value = 0.5636

Step-by-step explanation:

As the hypothesis are defined with a ">" sign, instead of an "≠", the test is right-tailed.

For this type of test, the P-value is defined as:

$P-value=P(z>z^*)$

being z* the value for each test statistic.

The probability P is calculated from the standard normal distribution.

Then, we can calculate for each case:

(a) 1.30

$P-value=P(z>1.30) = 0.0968$

(b) 0.77

$P-value=P(z>0.77) = 0.2207$

$P-value=P(z>1.98) = 0.0239$

(d) 2.65

$P-value=P(z>2.65) = 0.0040$

(e) −0.16

$P-value=P(z>-0.16) = 0.5636$

7 0

2 years ago

Mario builds a triangular table to fit in the corner of his rectangular bedroom. Is it possible to construct more than one table

Viefleur [7K]

Answer 1 with Explanation

Obtained from the question, Mario builds a triangular table to fit in a corner of the bedroom with the construction measure of 45,90 and 45 degrees which will be possible. In order to construct any physical object, proper tool are needed for accuracy of the object to built more than one of the similar table. With the help of proper instruments and measurement Mario can easily make a triangular table for his room's corner.

Answer 2 with Explanation

As Mario built the triangular table for the corner to fit his bedroom corner. He make use of the special instrument and tool for the measurement. Indeed, it is possible to construct more than one table with the angles 45,45,90 as each of them will be similar in shape but with different values of x, hence it will differ in sizes in terms of length. The length will differ as per the requirement of Mario's needs.

4 0

2 years ago

If you were applying for a job and the boss said: “We have 7 employees and the average salary is $100,000,” would you hope that

julsineya [31]

When applying for the job, we would hope that is the mode. The mode is the value that appears most often; if most people in the office make $100,000 that may speak better of your potential salary.

8 0

1 year ago

The track team is trying to reduce their time for a relay race. First they reduce their time by 2.1 minutes. Then they are able

konstantin123 [22]

Answer: 15.7 minutes

Step-by-step explanation:

Let x be the time in the beginning (in minutes).

Given: The track team is trying to reduce their time for a relay race.

First they reduce their time by $t_1=$ 2.1 minutes.