Algebra x = 3, y=2x and z=3y , whats z?

Given a right triangle with legs a, b and hypotenuse c, solve for a if b= 20 and c= 29

pantera1 [17]

Answer:

C) 21

Step-by-step explanation:

a² + 20² = 29² Use Pythagorean Theorem to solve for a

a² + 400 = 841 Solve for the exponents

- 400 - 400 Subtract 400 from both sides

a² = 441 Take the square root of both sides

a = 21

8 0

3 years ago

Read 2 more answers

Which statements are true regarding the area of circle

Pavlova-9 [17]

Question:

Which statements are true regarding the area of circle D? Select two options.

The area of the circle depends on the square of the radius.

The area of circle D is 36Pi centimeters squared.

The area of circle D is 324Pi centimetres squared

The area of the circle depends on the square of pi.

The area of the circle depends on the central angle.

Answer:

The following statements are true regarding the area of circle D:

The area of the circle depends on the square of the radius
The area of circle D is 324Pi centimeters

Step-By-Step Explanation:

As we know, the formula for area of the circle is given by,

$A=\pi r^{2}$

Where, r = radius of the circle. In figure, CD = radius = 18 cm

So, the circle area can be measured as

$A=\pi(18)^{2}=324 \pi \mathrm{cm}^{2}$

From this, concluding that the circle area depends on radius square and its value is $324 \pi \mathrm{cm}^{2}$ . Hence, the statement given in option A and C are correct (reveals that option B is incorrect).

As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).

6 0

3 years ago

Read 2 more answers

Given g(x)=5x+4, solve for x when g(x)=9

Alex

Answer:

The value of x is equal to 1, written as x = 1.

General Formulas and Concepts:
Algebra I

Equality Properties

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

Terms/Coefficients

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = 5x + 4

g(x) = 9

Step 2: Solve for x

Substitute in function value: 9 = 5x + 4
[Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x
[Division Property of Equality] Divide 5 on both sides: 1 = x
Rewrite: x = 1

∴ when the function g(x) equals 9, the value of x that makes the function true would be x = 1.

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Topic: Algebra I

8 0

2 years ago

Please help thank you so so so much there is more than one answer

Luden [163]

Answer:

B and C work. A and D do not.

Step-by-step explanation:

This is one of those questions that you have to go through each answer to see what the results are. You don't have to go far to eliminate A and D so let's do that first.

A]

5n + 6

Let n = 1

5(1) + 6

5 + 6= 11

However there is trouble beginning with n = 2

5*2 + 6

10 + 6

16 All you need is one wrong answer and the choice is toast. So A won't work.

================

Try D

6(n - 1)+ 5

n=0

6*(-1) + 5

-6 + 5

- 1

And D has been eliminated with just 1 attempt. n= 2 or n = 1 would be even worse. D is not one of the answers.

=============

B

Let n = 1

6(1) + 5

6 + 5

11 The first term works.

n = 2

6*(2) + 5

12 + 5

17 and n = 2 works as well. Just in case it is hard to believe, let's try n = 3 because so far, everything is fine.

n = 3

6*(3) + 5

18 + 5

23 And this also works. I'll let you deal with n = 4

========

C

n = 0

6(0 + 1) + 5

6*1 + 5

6 + 5

11

n = 1

6(1 + 1) + 5

6*2 + 5

12 + 5

17 which works.

So C is an answer.

4 0

3 years ago

A bottle of liquid cleaner contains 120 fluid ounces. If one wash load requires 4 ounces of the detergent, how many washes can

Trava [24]

Answer:

30

Step-by-step explanation:

120/4 = 30

Hope this helps

-Amelia

7 0

4 years ago

Algebra x = 3, y=2x and z=3y , whats z?​

Algebra x = 3, y=2x and z=3y , whats z?