All categories

2 years ago

What is the length of the hypotenuse in a right triangle with legs of length 14 and 48?

Mathematics

2 answers:

ValentinkaMS [17]2 years ago

6 0

Answer: =50 

Explanation: An unknown leg of a right triangle can be found using the Pythagorean theorem. Pythagorean theorem: a²+b²=c²

a²=14²+48²

a²=14²=14*14=196

a²=48²=48*48=2304

a²=196+2304

a²=196+2304=2500

a²=2500

a²=(25*100)=2500

a=5*10=50

A=50

Hope this helps!

Thanks!

Have a great day!

Irina-Kira [14]2 years ago

3 0

14^2+48^2=x^2
196+2304=x^2
2500=x^2
x=50
hypotenuse equals 50

You might be interested in

Is 0.15783456 rational or irrational

loris [4]

The problem is a irrational number

6 0

3 years ago

Read 2 more answers

A restaurant has 6 types of sauce , 4 flavors of ice cream 9 topping. How many different desert can be made ?

atroni [7]

Answer:

Step-by-step explanation: 216

3 0

3 years ago

Read 2 more answers

Find the function y = f(t) passing through the point (0, 18) with the given first derivative.

monitta

Answer:

$\displaystyle y = \frac{t^2}{16} + 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation
Coordinates (x, y)

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

$\displaystyle \frac{dy}{dt} = \frac{1}{8} t$

Step 2: Find General Solution

Use integration

[Derivative] Rewrite: $\displaystyle dy = \frac{1}{8} t\ dt$
[Equality Property] Integrate both sides: $\displaystyle \int dy = \int {\frac{1}{8} t} \, dt$
[Left Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \int {\frac{1}{8} t} \, dt$
[Right Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle y = \frac{1}{8}\int {t} \, dt$
[Right Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C$
Multiply: $\displaystyle y = \frac{t^2}{16} + C$

Step 3: Find Particular Solution

Substitute in point [Function]: $\displaystyle 18 = \frac{0^2}{16} + C$
Simplify: $\displaystyle 18 = 0 + C$
Add: $\displaystyle 18 = C$
Rewrite: $\displaystyle C = 18$
Substitute in C [Function]: $\displaystyle y = \frac{t^2}{16} + 18$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

4 0

2 years ago

The average Math SAT score of all incoming freshman at a large university is 490. A simple random sample of 200 of these incomin

nika2105 [10]

Answer:

Which is the output of the formula =AND(12>6;6>3;3>9)?

TRUE

FALSE

Step-by-step explanation:

4 0

3 years ago

What is meant by the term financial planning?

Naily [24]

Answer:

a Long-term goals are reached over an extended period of time, so your current income does not affect

them.

Step-by-step explanation:

Financial planning refers to long term goals that are planned and reached over an extended period of time to keep one solvent in cases of emergency without having a direct effect on current income.

Solvency simply means having more assets than liabilities to be able to stay afloat of one's debts.

8 0

2 years ago