MATHEMATICS HIGH SCHOOL

If P(x,y) is the point on the unit circle defined by real number theta , then csc theta= _____.x/y
y/x
1/x
1/y

Answers

Answer 1

Answer: csc thta =r/ y=1 /sin theta
see attachment below

Answer 2

Answer:

Answer:1/y

Step-by-step explanation:

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The cost y (in dollars) to rent a pickup truck is proportional to the number x of hours that the pickup truck is rented. It costs $100 to rent the truck for 4 hours. Write an equation that represents the cost to rent a pickup truck for x hours?

Answers

Answer:

Step-by-step explanation:D∧M a\\

Final answer:

The cost to rent the truck is directly proportional to the number of hours it's rented for. We determine the constant of proportionality to be $25 per hour. Therefore, the equation representing the cost of renting the truck for 'x' hours is y = 25x.

Explanation:

The subject of your question pertains to Mathematics, specifically with relation to a concept called proportionality. In this particular case, the cost of renting a pickup truck (y in dollars) is proportional to the number of hours the truck is rented (x). Since we know that the truck costs $100 for 4 hours, we can use these values to establish a ratio which can be represented as an equation. The ratio of cost to hours is $100/4 hours which simplifies to $25/hour. This is the constant of proportionality. Therefore, the equation that represents the cost to rent the pickup truck for x hours is y = 25x. This equation delineates that for every hour the truck is rented, the cost increases by $25.

Learn more about Proportionality here:

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Steve's doctor has advised him to take protein supplements. He bought two brands, Brand A and Brand B. The table gives the amount of calcium, iron, and vitamins (in milligrams per spoonful) in each of the two brands.Brand Calcium Iron Vitamins
A 5 4 7
B 4 6 4

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities? Select all the correct answers.

A) (1, 4)
B) (1, 5)
C) (2, 3)
D) (3, 2)
E) (4, 1)

Answers

Let the number of Brand A taken be x and the number of Brand B taken be y.
Then
5x + 4y ≥ 24
4x + 6y ≥ 15
7x + 4y ≥ 16

Points (1, 5) and (4, 1) satisfy the system of the given system of inequalities.

Answer:

(1,5) and(4,1).

Step-by-step explanation:

Given :

Brand Calcium Iron Vitamins

A 5 4 7

B 4 6 4

Let x be the quantity of brand A

Let y be the quantity of brand B

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins.

So, equation becomes:

$5x+4y\geq 24$

$4x+6y\geq 15$

$7x+4y\geq 16$

Now plot the given inequalities on the graph

Refer the attached graph

Thus the points lies in the feasible region are (1,5) and(4,1).

jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

Answers

Answer:

$x = (d+c)/(a - b)$

Step-by-step explanation:

Equation: $ax – c = bx + d$

Jalil says it is not possible to isolate x because x has a different unknown coefficient.

Victoria t. Victoria believes there is a solution

Solving the equation:

$ax-c = bx + d$

$ax - bx= d+c$

$(a - b)x = d+c$

$x = (d+c)/(a - b)$

So, this shows x can be isolated .

Victoria was right .

It was not possible to isolate x if the coefficients of x would be same .

But in the given equation the coefficients of x are not same .

So, Victoria is right.

Answer:

A. Rewrite the expression on the left using the distributive property.

Step-by-step explanation:

Three brothers have ages that are consecutive even integers the product of the first & third boys ages is 20 more than twice the seconds boy age.find the age of each of the boys

Answers

Let's say X is the first brother's age
x+2 is second brother, and x+4 is the third brother
Since the product of the first and third boy x(x+4) is 20 more than twice (20+x(x+2), our equation is x(x+4)=20+2(x+2)
Simplify from there and see what you get.

Explain how to use multiplication to check the answer to a division problem

Answers

When you get the quotient multiply it with the divisor if you get the dividend as the product the answer is correct.

18 4/7 into an improper fraction

Answers

To find an improper fraction, you want to do 18* 7 which equals, 126, so then 126+4=130. So then 130/7 would be your answer.

Final answer:

The mixed number 18 4/7 can be converted to an improper fraction by first multiplying the whole number (18) by the denominator of the fraction (7), then adding the numerator of the fraction (4). This results in the improper fraction 130/7.

Explanation:

The problem is asking to convert the mixed number 18 4/7 into an improper fraction. A mixed number contains a whole number and a proper fraction combined. An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction, then add the numerator of the fraction.

So in the case of the mixed number 18 4/7, the calculation would be as follows: (18 * 7) + 4 = 130.

So, 18 4/7 as an improper fraction is 130/7.