MATHEMATICS MIDDLE SCHOOL

Besides the 90degree angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree

Answers

Answer 1
Answer:

Answer:

The other two angle measures are 23 degrees and 67 degrees

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

m\angle A+m\angle C=90^o ----> by complementary angles

sin(C)=(AB)/(AC) ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(C)=(5)/(13)

C=sin^(-1) ((5)/(13))=23^o

Find the measure of angle A

m\angle A+23^o=90^o\nm\angle A=67^o

therefore

The other two angle measures are 23 degrees and 67 degrees
Answer 2
Answer:

Answer:

b.) 23° and 67°

Step-by-step explanation:

Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.  

a.) 18° and 39°

b.) 23° and 67°

c.) 43° and 47°

d.) 65° and 25°

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Answers

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Factor the numbers
x^{2} + 13x +36

Answers

Answer:

(X+9)(x+4)

Step-by-step explanation:

Find 2 numbers that add to get the middle number and also multiply to get the last number

PLEASE HELP I GIVE THANKS

Answers

If we match up the triangles, angle A will be equal to angle D , D is equal to { 38 }^( o ) since this is a right triangle the other angle is 90 degrees we should add this two and substract their total from 180.

90+38=128\n 180-128=52\n the answer must be D

I am pretty sure that D) is correct.

Write a whole number and a fraction greater than 1 to name the part filled. think: 1 container= 1

Answers

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Happy to Help!

The function y=3.5x+2.8 represents the cost in y ( dollars ) of a taxi ride of x miles. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function. I don't understand how to get both the domain and range at the same time.

Answers

Answer:

Step-by-step explanation:

The domain of a function is the set of elements for which the function is defined. In other words, the domain is the range of values ​​of x for which the function exists, that is, it has a result.

"x" in this case represents the number of miles traveled by taxi. If the passenger has enough money to travel a maximum of 20 miles, the domain will be:

Domain = {0 ≤ x ≤ 20}

On the other hand, the image is the range of values ​​of the function for which there is a value of x. In other words, it is the set of values ​​of the variable "y" that is obtained when evaluating in the function all the possible values ​​of x.

In this case the function "y" is evaluated at both ends to determine the range of variation of the image:

In x=0 → y=3.5*0 + 2.8 → y= 2.8

In x=20 → y=3.5*20 + 2.8 → y= 72.8

So,the range of the function is between $2.8 and $72.8

Range = {2.8 ≤ y ≤ 72.8}
I'm not sure I think the answer is 2.433 and 6.848) and 737383) but I'm not sure

A volleyball coach plans her daily practices to include 10 minutes of stretching, 2/3 of the entire practice scrimmaging, and the remaining practice time working on drills of specific skills. On Wednesday, the coach planned 100 minutes of stretching and scrimmaging. How long, in hours, is the entire practice?

Answers

Answer:

Time for the entire practice is 2.25 or 2 1/4 hours

Step-by-step explanation:

According to the question the volley ball coach daily plan practice includes stretching ,  scrimmaging and she use the remaining practice time working on drills of specific skills.

let the entire time required for practice = y minutes

Stretching consumes 10 minutes, mathematically

stretching = 10 minutes

scrimmaging = 2/3 × y

Drills of specific skills = y - (2/3 × y) - 10 = 1/3 y - 10 minutes

On Wednesday she had

stretching + scrimmaging  = 100 minutes

we all know her stretching daily timing is 10 minutes and scrimmaging timing is 2/3 × y

Therefore,

10 + 2/3  y = 100

100 - 10 = 2/3 y

90 = 2/3 y

multiply both sides by 3

90 × 3 = 2/3 y × 3

270 = 2 y

y = 135 minutes

since the answer is suppose to be in hours

60 minutes = 1 hour

135 minutes =  ?

135/60 = 2.25 hours or 2 1/4 hours

 
Since it is 100 minutes of stretching and scrimmaging, we can subtract the 10 minutes we know is stretching. 90 minutes is equal to 2/3 of the practice then. Divide by 2 and multiply by 3 to get the entire time of the practice or 135 minutes. However, you asked for it in hours, so we can subtract 120 minutes because this is 2 hours. 15 minutes is 1/4 of an hour. So practice took 2&1/4 hours. Hope that helps.
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