Which of the following equations models the relationship of angle A to the length of the line segment BC in the figure below.

Answers

Answer 1

Answer: Let the line segment BD be x, then sin A = x/15
or, x = 15sinA
Also $y^(2) = x^(2) + (25)^(2) \n = (15sinA)^(2) + 625 \n =225 sin^(2) A+625 \n y= \sqrt{225 sin^(2) A+625}$
The last option

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A bicycle lock requires a two-digit code of numbers 1 through 9, and any digit may be used only once. Whichexpression would determine the probability that both digits are even?
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.
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P(both even) = 6)66).

Answers

Answer:

what math is this

Step-by-step explanation:

Multiply the following using the vertical multiplication method:3x^2+5x+1
* x^2-2x+4
_________

A. 3x^4-x^3+3x^2+x+4

B. 3x^4+5x^3+10x^2+18x+4

C. 3x^4-x^3+3x^2+18x+4

D. 3x^4+x^3+x^2+x+4

Answers

ANSWER

$3 {x}^(4) - {x}^(3) + 3{x}^(2) + 18x + 4$

EXPLANATION

We want to multiply;

$(3 {x}^(2) + 5x + 1)( {x}^(2) - 2x + 4)$

We use the distributive property to obtain:

$3 {x}^(2) ( {x}^(2) - 2x + 4) + 5x( {x}^(2) - 2x + 4) + 1( {x}^(2) - 2x + 4)$

We expand to get:

$3 {x}^(4) - 6 {x}^(3) + 12 {x}^(2) + 5 {x}^(3) - 10 {x}^(2) + 20x + {x}^(2) - 2x + 4$

Regroup similar terms:

$3 {x}^(4) - 6 {x}^(3) + 5 {x}^(3) + 12 {x}^(2) - 10 {x}^(2) + {x}^(2) + 20x - 2x + 4$

Combine similar terms:

$3 {x}^(4) - {x}^(3) + 3{x}^(2) + 18x + 4$

The correct choice is C.

Final answer:

To multiply polynomials using the vertical multiplication method, multiply each term of one polynomial by each term of the other polynomial and then combine like terms.

Explanation:

To multiply the polynomials using the vertical multiplication method, we need to multiply each term of one polynomial by each term of the other polynomial and then combine like terms. Here are the steps:

Multiply the first term of the first polynomial by each term of the second polynomial.
Multiply the second term of the first polynomial by each term of the second polynomial.
Multiply the third term of the first polynomial by each term of the second polynomial.
Add up all the products to get the final result.

Applying these steps, the correct answer to the given multiplication is

$Option A: 3x^4 - x^3 + 3x^2 + x + 4.$

Learn more about Polynomial multiplication here:

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Which fractions are greater than -5/12 ? Choose exactly two answers that are correct. A. -5/11
B. -3/8
C.-4/9
D. -1/4

Answers

B is the answer because when you find the common denominator. B will turn into -9/24 and -5/12 is going to be -10/12
~JZ

The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diameter of each circle is 5 feet. Approximately how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth. A.15.7 square feet

B. 19.6 square feet

C. 42.8 square feet

D. 78.6 square feet

Answers

Area of a circle is πr^2.

From this, we can calculate
π*2.5^2
= π*6.25
= 19.625
= 19.6

Answer:

I did the test the answer is 19.6 square feet

Step-by-step explanation:

How to find n for F=n/4+37

Answers

Answer: F=40 or other words n=40

Step-by-step explanation:

F= n/4 + 37

F= 12/4 + 37

F= 3 +37

F =40

Hope this helped! ;)

What is The answer when a subtraction problem is performed

Answers

When a subtraction problem is performed, the answer is the difference between the two numbers being subtracted.

What is subtraction

Subtraction is the mathematical operation of finding the result when one quantity is taken away from another.

For example, if you have the subtraction problem 7 - 3, the answer would be 4, as you are subtracting 3 from 7, resulting in a difference of 4.

Similarly, in the subtraction problem 15 - 8, the answer would be 7, as you are subtracting 8 from 15, resulting in a difference of 7.

In general, when performing a subtraction problem, you are finding the numerical difference between two values.

Learn more about subtraction at

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The answer when a subtraction problem is preformed is called the difference.