MATHEMATICS HIGH SCHOOL

If a right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units, what would be the length of the other leg?

Answers

Answer 1
Answer:

The length of the other leg of a right angle triangle is, 10.95 units

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units.

Now, By the Pythagoras theorem, we get;

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ 13² = 7² + Base²

⇒ 169 = 49 + Base²

⇒ Base² = 169 - 49

⇒ Base² = 120

⇒ Base = √120

⇒ Base = 10.95 units

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Answer 2
Answer: Pythagorean theorem: A² + B² = C²
(7)² + B² = 13²;
49 + B² = 169;
B² = 130;
B = 11.40
The length of the other leg is 11.40.

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In a certain country, the life expectancy of a woman born in 1995 was 80.2 years. Between 1995 and 2005, the life expectancy increased 0.4 year every 5 years.

Answers

The Equation of life expectancy is x- 0.4(2) = 80.2.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The life expectancy of a woman born in 1995 was 80.2 years.

The life expectancy increased 0.4 year every 5 years.

So, from 1995 to 2005 there are two times the life expectancy increase.

let the lifeexpectancy by x.

Thus, the equation is

x- 0.4(2) = 80.2

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Answer:

a. L - 0.4(2)= 80.2 or L - 80.2 = 0.4(2) or 80.2 + 0.4(2) = L

b. No; The equations must be equivalent. They may look different, but all equations can be rewritten as L= 80.2 + 0.4(2).

Step-by-step explanation:

He difference between 4,632 and 20,000 is what number?

Answers

when they ask for the difference they are referring to subtraction
20,000 
-  4,632
= 15368

the glee club has 120 cupcakes to sell. they have decided to arrange the cupcakes in the shape of a rectangle, such that the rows have an even number of cupcakes and the columns have an odd number of cupcakes. How many arrangements of cupcakes can they create?  Explain.

Answers

Answer: 4

Explanation:

1) Find the divisors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 20, 30, 40, 60, and 120.

2) Choose combinations of even numbers for the rows and odd number for the columns:

row ------ column

8 ---------- 15 ----- ↔ 8 × 15 = 120

24 -------- 5 ------ ↔ 24 × 5 = 120

40 -------- 3 ------ ↔ 40 × 3 = 120

120 ------ 1 -------- ↔ 120 × 1 = 120

Those are the only arrangements with an even number of rows and odd number of columns: 4 in total.
Here are the only ones I can think of that have only one even number and one odd number.

8 x 15
5 x 24
3 x 40

I simply used a calculator and did 120/1, 120/2, 120/3 etc.. and found these numbers that work together.

A student has a business selling snowballs during the summer. For each snowball the student sells, they makes a profit of $1.50. On the hottest day of the summer, the student sold 125 snowballs and made a profit of $187.50.Choose a model (equation) in point-slope form {y−y1=m(x−x1)} to represent the profit the student makes, y, based on the number of snowballs sold, x.

y−125=1.5(x−187.5) A


y+187.5=1.5(x+125) B


y−187.5=1.5(x−125) C

y+125=1.5(x+187.5) D

Answers

Answer:

C

Step-by-step explanation:

HELP I NEED HELP ASAPLuke kicked a soccer ball into the air. The height, f(x), of the ball, in meters, after x seconds was modeled with the function f(x)=-4.5x^2+27x. How many seconds did it take for the soccer ball to hit the ground?

A. 40.5 seconds
B. 3 seconds
C. 6 seconds
D. 2.5 seconds

Answers

Answer:

i think this is the answer

A. 40.5 secods

If Rachel purchased a prepaid phone card for $25. Long distance calls cost 24 cents a minute using the card. Rachel used her card only once to make a long distance call. If the remaining credit on her card is $19.24 how many minutes did the call last?

Answers

Answer:

24 minutes

Step-by-step explanation:

25- 19.24= $5.76 used so....

$5.76/ 0.24cents = 24 minutes
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