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MissTica
3 years ago
15

Let tan theta= 5/12, where sin theta> 0.Find the exact value of sec theta​

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer:

5/13

Step-by-step explanation:

1. We are given tan(x)=5/12 .....(2)

2. On comparing the quantities we get that p=5 and b=12

3. We require the value of hypotenuse(h),

for this we apply the Pythagoreum theorum: p^2+b^2=h^2

⇒h^2=5^2+12^2

⇒h^2=25+144

⇒h^2=169

⇒ h=√169

⇒ h=13

Sin=p/h

p=5

h=13

Sin=5/13

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The Schuller family has five members. Dad is 6ft 2in tall. Mom is 3 inches shorter than Dad, but 2 inches taller than Ivan. Marc
qwelly [4]

Answer:

Mean = 5 feet 2 inches.

Step-by-step explanation:

1 feet = 12 inches

Height of Dad = 6 feet 2 inches  = {(6 × 12)+2} = 74 inches

Mom is 3 inches shorter than dad = 74 - 3 = 71 inches (5 ft 11 in)

Since mom is 2 inches taller than Ivan,

Height of Ivan = 71 - 2 = 69 inches  (5 ft 9 in)

Marica is 5 inches shorter than Ivan,

Height of Marica = 69 - 5 = 64 inches  (5 ft 4 in)

Marica is twice as tall as Sally-Jo.

Height of Sally-Jo = 64 ÷ 2 = 32 inches (2 ft 8 in)

Hence the mean height of the Schuller family

= \frac{74+71+69+64+32}{5}

= 62 inches

converting 62 inches to feet = \frac{62}{12} = 5 feet 2 inches

Mean height of the Schuller family is 5 feet 2 inches.

3 0
3 years ago
The reading of a scale at one end is 3.5 cm and at the other end is 18.5 cm. Calculate the lengths of the needle
Bumek [7]

Answer:

15 cm

Step-by-step explanation:

Given that :

Reading at one end, initial reading = 3.5 cm

Reading at the other end, final reading = 18.5 cm

Length of needle :

Final Reading - Initial reading

18.5cm - 3.5cm

= 15cm

6 0
3 years ago
What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. *Will give brainliest*
goldenfox [79]

Answer:

√134

Step-by-step explanation:

Solve for the top line first,

√(5²+3²)

= √34

then for the dotted line,

√(10²+(√34)²)

= √134

7 0
3 years ago
if a rectangle has am area of 2x²+11x+15, what would be an expression for the length, and for the width?
lozanna [386]

Answer:

Length = 2x + 5

Width = x + 3

Step-by-step explanation:

Area of rectangle = length × width

Expression for area of the rectangle = 2x² + 11x + 15

Factorising the quadratic expression

2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)

Length = 2x + 5

Width = x + 3

3 0
2 years ago
The maximum amount you can spend for renting a motor scooter is $50. The rental fee is $12 and the cost per hour is $9.50. Solve
uranmaximum [27]

The maximum number of hours for which you can rent the scooter is: 4 hours

<h3>Cost of renting;</h3>

According to the question;

  • The maximum amount you can spend for renting a motor scooter is $50
  • The rental fee is $12 and the cost per hour is $9.50.

The inequality to determine the maximum number of hours you can rent the scooter is;

  • $12 + $9.50h <= $50

Solving the inequality, we have;

  • $9.50h <= $38

h <= 4hours.

Read more on cost of renting;

brainly.com/question/10563785

5 0
2 years ago
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