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
Danielle needs to earn $250 to pay for her vacation. She has $28 saved and she earns $12 per hour after taxes as a lifeguard. Ho
Taya2010 [7]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be ins
maria [59]

Answer: 4004.76\ ft

Step-by-step explanation:

Given

inclination is \theta=75^{\circ}

Mountain is h=3900\ ft high

Cable is tied x=910\ ft from the base of the mountain

From the figure, length of the shortest path is l

It is given by using Pythagoras theorem

\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft

7 0
2 years ago
The large rectangle below represents one whole. A large rectangle with 25 equal sections, 11 of which are shaded What percent is
Umnica [9.8K]

fourty four percent hope this helps !

4 0
3 years ago
What is the answer for this equation-18-6k=(1+3k)
mylen [45]
-18-6k= 1+3k
9k=-19
k=-19/9
k=-2 and 1/9
8 0
2 years ago
Read 2 more answers
2. P(-4, 2), (6, 4), R(11, -2), S(2, -3)<br><br> is this is parallelogram or not??
blondinia [14]
Yes that is a parallelogram
6 0
2 years ago
Other questions:
  • What is the answer for 6 1/3x 6 1/4= 6 x/y
    5·1 answer
  • Answer:<br> A. 20 units<br><br> B. 30 units<br><br> C.40 units<br><br> D. 50 units
    13·1 answer
  • 0.75s - 5/8s = 44 , combine like terms
    8·1 answer
  • The total employment for police officers in 2006 was 648,000. If there are 719,000 police officers in 2016, what will the percen
    14·2 answers
  • 4x2-6<br> If x = 3 then<br> has a value of what?<br> X
    7·1 answer
  • Give a power series representation for the function f(x) x^3/(1 + 9x^2)
    6·1 answer
  • Over the course of a year, a company goes from 115 employees to 124 employees. What equation do you use to solve this equation
    12·1 answer
  • Six cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. This relationship is an example of a proportional re
    13·1 answer
  • The solid below is made from cubes.<br> Find its volume.
    12·1 answer
  • CAB SOMEONE HELP ME ASAP PLS
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!