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
k0ka [10]
3 years ago
13

Hi does anyone know how to solve this question if so please show the working out.

Mathematics
1 answer:
tester [92]3 years ago
6 0

Explanation:

The Law of Sines is your friend, as is the Pythagorean theorem.

Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.

Then we have from the Pythagorean theorem ...

  b² = 4² +(2√2)² = 24

  b = √24

From the Law of Sines, we know that ...

  b/sin(60°) = a/sin(θ)

  y/sin(45°) = a/sin(φ)

Solving the first of these equations for "a" and the second for "y", we get ...

  a = b·sin(θ)/sin(60°)

and ...

  y = a·sin(45°)/sin(φ)

Substituting for "a" into the second equation, we get ...

  y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)

So, we need to find the value of the coefficient ...

  b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)

  = √(24·2/3) = √16 = 4

and that completes the development:

  y = 4·sin(θ)/sin(φ)

You might be interested in
15. Explain Shane says a straight angle always has 180° degrees. Is he correct? Explain.
topjm [15]
I do not know bro. Have you tried
4 0
3 years ago
A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice.
hoa [83]
D. 540

360/40=9
9•60=540
5 0
3 years ago
What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?
Ainat [17]

Answer:

The average rate of change is -3.  

Step-by-step explanation:

Given : Function f(x)=-3x+79 over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function f(x)=-3x+79 over [2,4]

The rate of change is the slope of the line,

So, \text{Rate of change}=\frac{f(4)-f(2)}{4-2}

f(4)=-3(4)+79

f(4)=-12+79

f(4)=67

f(2)=-3(2)+79

f(2)=-6+79

f(2)=73

Substitute,

\text{Rate of change}=\frac{67-73}{4-2}

\text{Rate of change}=\frac{-6}{2}

\text{Rate of change}=-3

Therefore, The average rate of change is -3.

8 0
3 years ago
Read 2 more answers
Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of
8_murik_8 [283]

Answer:

225+40+1,400=?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Frank is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an
melisa1 [442]

Answer:

537.5

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 5/3=23/6n+7/4-7/2n <br> How to solve?
    8·1 answer
  • Sam used 1609 apps she canceled 805of them how much did she cancel by dividing
    8·1 answer
  • BRAINLIEST!
    6·2 answers
  • All sides of triangle JKL equal 2 units. A transformation maps triangle JKL to triangle J’K’L. The length of side JK is 5 units
    6·1 answer
  • The coffee shop is having a special where 2 pounds of coffee cost four dollars. Assume that the total cost in dollars y varies d
    13·1 answer
  • What is x if <br> Show your working<br> 4x+5=5x-1
    9·1 answer
  • How to write 9,452,729 in expanded form?
    10·2 answers
  • The three straight paths, AB,BC,AC, meet each other at three points, A,B, and C. How do these points of intersection differ from
    5·1 answer
  • A billiard ball starts 86\,\text{cm}86cm86, start text, c, m, end text from the corner pocket, as shown. The ball rolls 120\,\te
    8·1 answer
  • Someone please help! Tysm if you answer this for me! Have a great day:)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!