1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddik [55]
1 year ago
14

For questions 6 – 10, find the unknown side length. number 10

Mathematics
1 answer:
Sergeu [11.5K]1 year ago
3 0
Answer: \begin{gathered} s\text{ = 10}\sqrt{2}\text{    \lparen exact answer\rparen} \\ s\text{ = 14.142   \lparen decimal approx.\rparen} \end{gathered}

Explanation:

10) Given:

hypotenuse = 20

angle = 45°

To find:

length of s

angle = 45

opposite = side opposite the angle = s

To find the value of s, w will apply sine ratio (SOH)

sin\text{ 45 = }\frac{opposite}{hypotenuse}\begin{gathered} sin\text{ 45 = }\frac{s}{20} \\ s\text{ = 20sin45} \\ sin\text{ 45 = }\frac{\sqrt{2}}{2} \\  \\ s\text{ = 20}\times\frac{\sqrt{2}}{2} \\ s\text{ = 10}\sqrt{2}\text{    \lparen exact answer\rparen} \end{gathered}\begin{gathered} s\text{ = 20sin45} \\ s\text{ = 20\lparen0.7071\rparen} \\ s\text{ = 14.142   \lparen decimal approximation\rparen} \end{gathered}

You might be interested in
Find the area of a triangle
viktelen [127]

Answer:

10.5 in. ²

Step-by-step explanation:

a = (b × h) ÷ 2

a = (7 × 3) ÷ 2

a = 21 ÷ 2

a = 10.5

4 0
3 years ago
The measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle
Nesterboy [21]

Answer:

Step-by-step explanation:

Sum of interior angles of polygon = (n -2) * 180

Sum of interior angles of hexagon =  (6-2)*180 = 4* 180 = 720

4x + 5x +6x +7x + 8x +9x = 180

39x = 180

x = 180/39

x=4.61

Smallest angle = 4x = 4*4.61  = 18.44

5 0
3 years ago
Which is the equivalent of 6 14’ 48” written in decimal form ?
goblinko [34]

Answer:

Option A. 6.247°

Step-by-step explanation:

we know that

1°=60'

1'=60"

we have

6° 14' 48"

Convert to decimal form

<em>Convert seconds to minutes</em>

48"=48/60=0.8'

so

6° 14' 48"=6° + 14' +0.8'=6° 14.8'

<em>Convert minutes to degrees</em>

14.8'=14.8/60=0.247°

so

6° 14.8' =6° + 0.247°=6.247°

8 0
4 years ago
Read 2 more answers
Elliott is 63 inches tall, which is 9inches taller than cousin, Jackson.write and solve an addition equation to find Jackson hei
yulyashka [42]
Its pretty simple
63-9=54
Since Elliott is 9 inches taller than jackson, you need to subtract and thats how you get the answer
7 0
4 years ago
The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find the actual dis
Illusion [34]
10/4=x/20
Your answer will be x=50 kilometers
3 0
4 years ago
Read 2 more answers
Other questions:
  • The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its standard form?
    15·1 answer
  • Select the correct answer.
    14·1 answer
  • What is the value of x if 9^(x-1)-2=25
    6·1 answer
  • Solve the equation for y.
    11·1 answer
  • Write a polynomial in standard form with zeros 1, 2, and −5.
    9·1 answer
  • A product test is designed in such a way that for a defective product to be undiscovered, all four inspections would have to fai
    5·1 answer
  • Should education be left at state control or brought to national control? and why?
    10·1 answer
  • If f(100)=61 and f'(100) is 5. Estimate f(96).
    15·1 answer
  • A triangle’s base is 3 feet longer than twice its height, h. To create a new triangle, the base is decreased by 4 feet, and the
    10·2 answers
  • Daisy's goal is to save $3,000. When she has 3 times as much as she has already saved, she will need only $300 more. How much ha
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!