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mrs_skeptik [129]
3 years ago
7

NEED HELP ASAP Find the value of x. Round to the nearest tenths place. ​

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

x = 77.8 ft

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

∅ = 40°

opposite leg of angle = 50 ft

hypotenuse = x ft

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                                        sin40° = 50/x
  2. Multiply <em>x </em>on both sides:                 xsin40° = 50
  3. Divide sin40° on both sides:           x = 50/sin40°
  4. Evaluate:                                           x = 77.7862
  5. Round:                                              x = 77.8 ft
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(7x) + 3 = 8
subtract both sides by 3.

7x = 5
divide both sides by 7 to isolate the variable, x.

x = 5/7
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3 years ago
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When you are given three side lengths for a triangle, how do you know which length to substitute for a, b, or c in the Pythagore
Romashka [77]

Answer:

When Sum of square of two Sides is equal to square of third side of triangle.

Step-by-step explanation:

Given:

Three side length of triangle are given we need find the which value to substitute for a, b, c in Pythagoras theorem.

First we will find the squares of all length, then we will check which two square of side are equal to square of third side as per Pythagoras theorem.

Hence the two side would according be a and b and third side will become c.

For example if length of triangle  is given as 6 cm, 8 cm and 10 cm.

We will first take square of all

6^2=36\\8^2=64\\10^2=100

Now we can see that

36+64=100\\6^2+8^2=10^2

Now by Pythagoras theorem.

a^2+b^2=c^2

Hence we can say a = 6 cm, b = 8 cm, c= 10 cm  

6 0
3 years ago
Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)
Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

#SPJ1

5 0
1 year ago
Whoever answers this gets brainliest plsss help
Karolina [17]

hope it helped. I have solved in the same paper. plz don't mind.

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3 years ago
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