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3 years ago

Can someone help me out with this.

Mathematics

1 answer:

pickupchik [31]3 years ago

3 0

The side MK measures 3.3 feet.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 25°, the adjacent side has a length of x feet while the hypotenuse of the triangle measures 3.6 feet. The opposite side of the triangle is not given.

To determine the value of x, we determine the value of the cos of the given triangle.

To calculate the cos of an angle we divide the adjacent side by the hypotenuse of the same triangle.

$cos \theta = \frac{adjacentside}{hypotenuse} .$

Step 2:

The length of the adjacent side = x feet.

The length of the hypotenuse = 3.6 feet.

$cos \theta = \frac{adjacentside}{hypotenuse}, cos 25 = \frac{x}{3.6} , cos 25 = 0.9063.$

$x = 0.9063 (3.6) = 3.2626.$

So the adjacent side of the triangle measures 3.2626 feet. Rounding this off to the nearest tenth, we get that MK measures 3.3 feet.

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Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in p

scZoUnD [109]

Answer:

The probability that they will teach different courses is $\frac{2}{3}$ .

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Compute the probability that they will teach different courses as follows:

$P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}$

Thus, the probability that they will teach different courses is $\frac{2}{3}$ .

3 0

3 years ago

How to solve the equation: |2x+3|>=23

kondor19780726 [428]

$|2x+3|\geq23\iff2x+3\geq23\ \vee\ 2x+3\leq-23\qquad|\text{subtract 3 from both sides}\\\\2x\geq20\ \vee\ 2x\leq-26\qquad|\text{divide both sides by 2}\\\\x\geq10\ \vee\ x\leq-13$

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3 years ago

A cyclist rides his bike at a rate of

atroni [7]

The rate in miles per hour is: 7.5
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You would multiply 7.5 times 3

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3 years ago

Mr. Wells tells his class of 24 that when they completed the assignment, they may play online math games. At the end of class, 4

QveST [7]

Hello there! Your answer is approximately 14 students.

To solve this question, you want to start by finding 40% of 24. To do this, convert 40% into a decimal (divide by 100) and multiply by 24.

24 x 0.40 = 9.6.

But - you can't have 9.6 of a student. So, we round up to 10.

Note that the question asks how many students still need to complete their assignment, meaning we are looking for the ones that haven't finished. We found the amount for students that have finished, so subtract that from the total to see approximately how many still have to finish.

24 - 10 = 14

So, this means approximately 14 students still need to complete their assignment.

I hope I could help you, have a great rest of your day! :D

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4 years ago

Challenge 1:

stepan [7]

11+9=20

(11)^2-(9)^2=40

121-81=40

40=40

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3 years ago