MATHEMATICS HIGH SCHOOL

1.) A ladder is leaning against the side so that the distance on the ground betweenthe base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?

Answers

Answer 1
Answer:

The angle at which the ladder is leaning is 62.18°.

What is trigonometry?

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, cos θ = (Base)/(Hypotenuse)

The figure below shows the relationship between the sides.

⇒ cos θ = (7)/(15)

⇒ θ = cos^(-1)((7)/(15) )

⇒ θ = 62.18

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

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Answer 2
Answer:

Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

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the product of two integers is -21. the diference between the two integers is -10. the sum of the two integers is 4. what are the two integers
Simplify 12^16/12^4.12^1212^41^121^4
Mr ramirez bought 1/4 pounds of cashews he divided the cashews equally with 3 childern. how many cashews did each children get

Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.

Answers

Answer:

10+(-4)=6

Step-by-step explanation:

Answer:

-4 + 10

Step-by-step explanation:

A die is rolled 200 times with the following results.Outcome
1
2
3
4
5
6
Frequency
32
36
44
20
30
38
What is the experimental probability of rolling the given result?
a.
0.88
c.
0.56
b.
0.34
d.
0.44

Answers

Final answer:

The experimental probability of rolling the given results are: a. 0.16, b. 0.18, c. 0.22, d. 0.1. The correct answer is b. 0.18.

Explanation:

To find the experimental probability of rolling a given result, divide the frequency of that result by the total number of rolls. In this case, the frequency of rolling a 1 is 32, and the total number of rolls is 200. So the experimental probability of rolling a 1 is 32/200 = 0.16. Repeat this process for the other results:

  • Experimental probability of rolling a 2: 36/200 = 0.18
  • Experimental probability of rolling a 3: 44/200 = 0.22
  • Experimental probability of rolling a 4: 20/200 = 0.1
  • Experimental probability of rolling a 5: 30/200 = 0.15
  • Experimental probability of rolling a 6: 38/200 = 0.19

Based on these calculations, the experimental probability of rolling the given results are:

  • a. 0.16
  • b. 0.18
  • c. 0.22
  • d. 0.1

Therefore, the correct answer is b. 0.18.

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Answer: D) 0.44

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Explanation:

Add up all the frequencies that correspond to outcomes that are more than 3

So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88

We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.

The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44

The number of basic headphones the store can purchase if it spends a total of $10,000 on headphones and buys 110 HD headphones for $70 each.

Answers

Answer:

Total amount spent = $10,000

Cost of one HD headphones = $70

So, cost of 110 HD headphones = 70*110=7700 dollars

Hence, amount left to purchase basic headphones = 10000-7700=2300 dollars

So, the store can buy x headphones from $2300. Where x can be found by dividing 2300 by the cost of 1 headphones.
The store buys 110 HD head phone for $70 each. That means they spent 110 x 70 = $7,700 on them

$10,000 - $7,700 = $2,300

The store has $2,300 dollars left to spend on basic headphones.

The answer is $2,300 ÷ cost of basic headphones

HELP PLEASE ASAP!! Which relation is a function?

Answers

Answer:

The one on the bottom left.

Step-by-step explanation:

To find out which one is a function, we would use the vertical line test. First you create a vertical line with your finger, pencil, or another object. If there are two dots that pass a vertical line, it would not be a function. Only one dot can cross the vertical line for it to be a function.

The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answers to the nearest cent.P=$180, r=3%, t= 2 years

Answers

Y= (180(1+.03)^2)-180

$970 at 4 1/4% simple interest for 2 years

Answers

For simple interest 
i=prn
where i= interest p=amount invested, r=rate n=time period
i= 970*4 and 1/4 * 2
i= $8245
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