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xeze [42]
3 years ago
6

169= (24/2)^2 +(d/2)^2

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer: d = ±10

<u>Step-by-step explanation:</u>

169 = (\frac{24}{2})^{2} + (\frac{d}{2})^{2}

169 = (12)² + \frac{d^{2}}{4}

169 = 144  + \frac{d^{2}}{4}

25 =            \frac{d^{2}}{4}

100 = d²

√100 = √d²

 ±10 = d

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Can someone please answer my trigonometry problem? I've been trying to get answers all day for something so minimal.
Fantom [35]

Answer:

  ∠B ≈ 30.0°

Step-by-step explanation:

The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.

__

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) . . . . solve for sin(B)

  sin(B) = (14/28)sin(91°) ≈ 0.49992385

The angle is found using the inverse sine function:

  B = arcsin(0.49992384) ≈ 29.99496°

Rounded to tenths, the angle is ...

  m∠B ≈ 30.0°

_____

<em>Additional comments</em>

Many triangle solver apps and web sites are available if all you want is an answer.

When using your calculator, be sure the angle mode is set to "degrees."

The Law of Sines can also be used to solve a triangle when two angles and one side are known.

8 0
2 years ago
Lisa buys a television for $4185. if the sales tax is $292.95. what percent is sales tax?
Romashka-Z-Leto [24]

Answer:

Sales tax = 7%.

Step-by-step explanation:

Let x be the percent of sales tax.

We have been given that Lisa buys a television for $4185. The sales tax is $292.95.

We need to figure out x such that x percent of 4185 equals to 292.95. Let us represent this information in an equation.

\frac{x}{100}*4185=292.95

Let us multiply both sides of equation by 100.

100*\frac{x}{100}*4185=100*292.95

x*4185=29295

x=\frac{29295}{4185}

x=7

Therefore, sales tax is 7%.

Let us cross check our answer by calculating 7% of 4185.

7\%\text{ of } 4185=\frac{7}{100}\times 4185

7\%\text{ of } 4185=0.07\times 4185

7\%\text{ of } 4185=292.95

We can see that 7% of 4185 is 292.95. Hence, sales tax is 7%.

5 0
3 years ago
What is Perfect squares?
sashaice [31]
A perfect square is a number that can be expressed as the product of two equal integers.
4 0
2 years ago
Read 2 more answers
3/4+1/2= 2. 5/6+1/2= 3. 3/6+1/2= 4.1/6+4/8= 5.7/8+1/4= 6.3/8+1/2=
kaheart [24]

Answer:

1.) \frac{5}{4\\}

2.) \frac{4}{3}

3.) 1

4.) \frac{2}{3}

5.) \frac{9}{8}

6.) \frac{7}{8}

Step-by-step explanation:

The 2 steps for all of these is to get common denominators and then add and simplify.

1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4

2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3

3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1

4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 =  32/48 (simplify) = 2/3

5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8

6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8

6 0
3 years ago
What is the factor of 25a2+b2?
Neko [114]

Answer:

(5a+b)⋅(5a−b)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 52a2 -  b2

STEP

2

:

Trying to factor as a Difference of Squares

2.1      Factoring:  25a2-b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (5a + b)  •  (5a - b)

7 0
3 years ago
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