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
solong [7]
3 years ago
7

(05.01 MC) In triangle JKL, tan(b°) = three fourths and cos(b°) =four fifths. If triangle JKL is dilated by a scale factor of on

e half, what is sin(b°)? PLEASE HELP! triangle KL in which angle K is a right angle and angle L measures b degrees sin(b°) = three fifths sin(b°) = four fifths sin(b°) = five thirds sin(b°) = five fourths

Mathematics
1 answer:
REY [17]3 years ago
5 0

Answer:

sin(b^\circ) = \dfrac{3}{5}

Step-by-step explanation:

We are given a \triangle JKL where \angle K = 90^\circ

tan(b^\circ) = \dfrac{3}{4}\\cos(b^\circ) = \dfrac{4}{5}

As per trigonometric rules,

tan(\theta) = \dfrac{Perpendicular}{Base}

cos(\theta) = \dfrac{Base}{Hypotenuse}

Comparing the given value of tangent and cosine:

Perpendicular = 3 units

Base = 4 units

Hypotenuse = 5 units

Also, we know that:

sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}

\Rightarrow sin(b^\circ) = \dfrac{3}{5}

Now, it is given that the triangle is dilated by a scale factor of \frac{1}{2}.

i.e. all the sides will become half of its initial values.

New Perpendicular = 1.5 units

New Base = 2 units

New Hypotenuse = 2.5 units

Using the formula for sine:

sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}

\Rightarrow  sin(b^\circ)= \dfrac{1.5}{2.5}\\\Rightarrow  sin(b^\circ)= \dfrac{15}{25}\\\Rightarrow   sin(b^\circ)=\dfrac{3}{5}

You might be interested in
Solve the equations for all values of x by completing the square x^2+62=-16x
lorasvet [3.4K]

Answer:

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Step-by-step explanation:

To complete the square, we first have to get our equation into ax^2 + bx = c form.

First we add 16x to both sides:

x^2 + 16x + 62 = 0

And now we subtract 62 from both sides.

x^2 + 16x = -62

We now have to add (\frac{b}{2})^2 to both sides of the equation. b is 16, so this value becomes (16\div2)^2 = 8^2 = 64.

x^2 + 16x + 64 = -62+64

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 8\cdot8=64 and 8+8=16.

(x+8)^2 = -62 + 64

We can now take the square root of both sides.

x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}

We can now isolate x on one side by subtracting 8 from both sides.

x = \pm\sqrt{2} - 8

So our solutions are

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Hope this helped!

4 0
3 years ago
What needs to be done to 21/10 to complete the problem? If you can, try to fix it yourself.<br><br>​
Olin [163]

Answer:

This is an improper fraction so we need to make it a mix fraction.

Step-by-step explanation:

21/10 = 10/10+10/10+1/10

10/10=1

So your final answer will be 2\frac{1}{10}

8 0
2 years ago
Read 2 more answers
5627 times an unknown variable is 41
vodomira [7]
Let the unknown variable be x.
5627x=41
x=41/5627
3 0
3 years ago
Which expression is a PRODUCT?
Lesechka [4]
The answer is A thanks for asking
8 0
3 years ago
Read 2 more answers
Find the area of the figure
NikAS [45]

Answer:

14 square meters

Step-by-step explanation:

3*2=6

2*4=8

6+8=14

8 0
3 years ago
Read 2 more answers
Other questions:
  • Flip a coin 4 times and calculate the experimental probability of the coin landing heads up.
    13·2 answers
  • Which points are 19 units apart? (–14, 12) and (5, 12) (–5, 19) and (–12, 19) (–20, 5) and (1, 5) (14, 12) and (5, 12)
    13·2 answers
  • Find the selling price of each item Cost of a sled:99.50 Markup:95%
    10·1 answer
  • What happens when you subtract a fraction with the same denominators and numerators
    12·1 answer
  • Can someone check my answers to see if they're correct?
    13·1 answer
  • Write an equation with a slope of -1/2 in each form.<br> point-slope form<br> slope-intercept form.
    7·1 answer
  • There are 96 diners in a restaurant. If 3/8 of the diner are children, what fraction of
    9·1 answer
  • Simplify 4x+2x+3x Helpppp
    12·2 answers
  • What is y = 3 x + 2 =
    5·1 answer
  • 37 city buses can carry a total of 778 passengers. How many passengers can a single bus carry?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!