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vivado [14]
3 years ago
13

The angle of the elevation of the sun is 34 degrees. Find the length, l, of a shadow cast by a tree that is 53 feet tall. Round

to 2 dp.

Mathematics
1 answer:
gulaghasi [49]3 years ago
8 0
\tan{34^o}= \frac{53}{x} 
\\
\\x= \frac{53}{\tan{34^o}} 
\\
\\x \approx 78.58

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Carla purchased a hat for $12, a purse for $26, and a dress for $125. The sales tax rate was 5.6 percent. What was the total amo
muminat

Answer:

5/100 = 0.056 sales tax

$12+$26+$125 = $163 total purchase without tax

163*0.056 = 9.128 tax based on how much she bought

$163 + 9.128 = $172.128 total amount she paid (b)

8 0
2 years ago
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Lester played a told of 40 games this past year. He won 65% of the time he played. How many games did he lose?
Scrat [10]
"of" means multiply
So 65% * 40
65% is the same as 0.65 (% means divide by 100).
0.65 * 40 = 26
26 games
5 0
3 years ago
How do I get my answer
kupik [55]

Answer:

i think it is 5/8    6/12    3/4

Step-by-step explanation:


5 0
3 years ago
A. Write an expression for the area of the shaded region.
tekilochka [14]

Answer:

A. 25x² - 64

B. (5x + 8)(5x - 8)

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = 25x^2 - 64

B. The expression, 25x^2 - 64, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, a^2 - b^2 = (a + b)(a - b)

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

25x^2 - 64 = (5x + 8)(5x - 8)

4 0
3 years ago
15 points pls brainliest show your work no calculator
FinnZ [79.3K]

Based on the calculations on the given expressions, the correct answers are as follows:

  1. Expression = 25/2 or 12.5.
  2. Difference = 5.
  3. n = 6.
  4. Expression = 31/15.
  5. Prime factorization of 96 = 2⁵ × 3¹.
  6. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.
  7. Inequality = 2³ < 3².
  8. Total amount = $255.
  9. Expression = 5.

<h3>How to evaluate this expression?</h3>

In order to evaluate this expression, we would substitute the value of x into upper and lower part respectively and then simplify as follows:

Expression = (6x + 8)/(4x - 24)

Expression = (6(7) + 8)/(4(7) - 24)

Expression = (42 + 8)/(28 - 24)

Expression = 50/4

Expression = 25/2 or 12.5.

Next, we would translate the given word problem into an algebraic expression:

Difference = 10 - 5

Difference = 5.

To solve for the value of n in the given expression:

-15 + n = -9

n = -9 + 15

n = 15 - 9

n = 6.

Expression = 2/3 + 1 2/5

Expression = 2/3 + 7/5

Expression = (10 + 21)/15

Expression = 31/15.

Next, we would write the prime factorization of 96:

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

96 = 2 × 2 × 2 × 2 × 2 × 3

96 = 2⁵ × 3¹.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48.

<h3>How to determine the inequality symbol?</h3>

2³ __  3²  ≡  8 __ 9

Since 8 is less than 9, the inequality symbol which would complete the number sentence is < and it would be written as follows:

Inequality = 2³ < 3².

Next, we would calculate the total amount of money that KeeKee will spend:

Initial cost = 3 × $60 = $180

Total amount = initial cost + final cost

Total amount = $180 + $75

Total amount = $255.

Finally, we would simplify the given expression:

Expression = 3² + 2(12 ÷ 4 - 2 + 3)

Applying BODMAS, we have:

Expression = 3² + 2(3 - 2 + 3)

Expression = 3² + 2(3 - 5)

Expression = 3² + 2(-2)

Expression = 9 - 4

Expression = 5.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Read more on expressions here: brainly.com/question/28260012

#SPJ1

7 0
1 year ago
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