Answers
Given:
The figure of a right triangle ABC.
To find:
The trigonometric ratios [tex]\sin B, \tan A, \cos B[/tex].
Solution:
Using Pythagoras theorem,
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]AB^2=AC^2+BC^2[/tex]
[tex](10)^2=(6)^2+BC^2[/tex]
[tex]100-36=BC^2[/tex]
[tex]64=BC^2[/tex]
Taking square root on both sides.
[tex]\sqrt{64}=BC[/tex]
[tex]8=BC[/tex]
So, measure of BC is 8 units.
Now,
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
[tex]\sin B=\dfrac{AC}{AB}[/tex]
[tex]\sin B=\dfrac{6}{10}[/tex]
[tex]\sin B=\dfrac{3}{5}[/tex]
Similarly,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
[tex]\tan A=\dfrac{AC}{BC}[/tex]
[tex]\tan A=\dfrac{6}{8}[/tex]
[tex]\tan A=\dfrac{3}{4}[/tex]
And,
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos B=\dfrac{BC}{AB}[/tex]
[tex]\cos B=\dfrac{8}{10}[/tex]
[tex]\cos B=\dfrac{4}{5}[/tex]
Therefore, the required trigonometric ration are [tex]\sin B=\dfrac{3}{5}, \tan A=\dfrac{3}{4}, \cos B=\dfrac{4}{5}[/tex].
Related Questions
Write an equation for the nth term of the arithmetic sequence
2,4,6,8,...
Answers
Step-by-step explanation:
dn means the difference (meaning what do you add/subtract to get the next number)
T0 means the term before the first one you got.
Tn = dn + T0
Tn = 2n + 0
Therefore our equation will be
Tn = 2n
Or in your case
An= 2n
Decide whether each expression simplifies to a number less than -1 or greater than 1.
Less than -1
Greater than 1
Neither
(-10) divided by 6
-(5 divided by 2)
-3 divided by (-4)
-2• [- 7/2]
8/3•[-3:5]
Answers
Answer:
Step-by-step explanation:
(-10) ÷ 6 = [tex]\frac{-10}{6}=\frac{-5}{3}=-1\frac{2}{3}[/tex] less than -1
-(5÷2) =[tex]-\frac{5}{2}=-2\frac{1}{2}[/tex] less than (-1)
(-3÷ (-4) = [tex]\frac{-3}{-4}=\frac{3}{4}[/tex] Neither
(-2)* [-7/2] = [tex](-2)* \frac{-7}{2}=(-1)*(-7)=7[/tex] Neither
(8/3)*(-3/5)=[tex]\frac{8}{3}*\frac{-3}{5}=\frac{-8}{5}=-1\frac{3}{5}[/tex] less than (-1)
A glassblower can produce several sets of simple glasses in about 3 hours. When the glassblower works with
an apprentice, the job takes about 2 hours. Write an equation that can be used to find the amount of time t, in
hours, it would take for the apprentice to make the same number of sets of glasses when working alone.
Answers
Using the together rate, it is found that it would take the apprentice 6 hours to make the same number of sets of glasses when working alone.
What is the together rate?The together rate is the sum of each separate rate.
In this problem, the rates are:
Glassblower: 1/3.Apprentice: 1/x.Together: 1/2.Hence, applying the equation for the together rate:
[tex]\frac{1}{2} = \frac{1}{x} + \frac{1}{3}[/tex]
[tex]\frac{x + 3}{3x} = \frac{1}{2}[/tex]
[tex]2x + 6 = 3x[/tex]
[tex]x = 6[/tex]
It would take the apprentice 6 hours to make the same number of sets of glasses when working alone.
To learn more about the together rate, you can take a look at https://brainly.com/question/25159431
what is the volume of a right cylinder with a base diameter of 6m and a height of 5m
Answers
At a high school there was a survey to find out how many people used different forms of transportation. The study found that 1/4 of the students were taken by car to school, 42% took the bus and the rest walked or took public transportation. There was a total of 600 students. How many students took the bus?
225
252
351
157
which one ^
Answers
Answer:
252
Step-by-step explanation:
600X42%=252
= 252
ans: 252
I need the answer ASAP
-7+7=
Answers
Trust me it is 0
can someone help me plz
Answers
Answer:
No thanks I don't feel like it
Step-by-step explanation:
I don't feel like it
Jill buys two circular pizzas. The small pizza has an 8-inch diameter. The medium pizza has a 12-inch diameter. How much greater, in square inches, is the area of the medium pizza than the small pizza? Round your answer to the nearest tenth.
Answers
Answer:
Medium pizza is 62.83 square inches greater than smaller pizza.
Step-by-step explanation:
Eliza estimated she would spend $120 at the grocery store. She actually spent $95. What is the percent error?
Answers
I will give brainlits and start pls help
Graph the equation y = 3x - 3 using slope and y-intercept.
6
5
y
4
3
N
1
0
-1
-2
الفا
4
-5
-6
-5
-2
-4
-1
0 1
-3
2
5
2
6
3
á
?
y = 3x - 3
Answers
Step-by-step explanation:
(0,-3) and (1,0) this are the point
Simplify 4g-6h-5g-3g+10h+6g
Answers
Answer:
2g + 4h
Step-by-step explanation:
[tex]\text{Combine Like Terms.}\\\\\\4g-6h-5g-3g+10h+6g\\\\4g-5g-3g+6g -6h+10h\\\\\boxed{2g+4h}[/tex]
Hope this helps!
HEEELP
a basketball player made 10 baskets in a season. of these, 60% were three-point shots. how many three-point shots did the player make?
Answers
Please help me ASAP
Answers
A triangle has two sides that are 4 in. And 10 in. What could be the length of the third side of the triangle? Select all that apply.
Answers
Answer:
see explanation
Step-by-step explanation:
Given 2 sides of a triangle then the range of the third side x is
difference of 2 sides < x < sun of 2 sides , that is
10 - 4 < x < 10 + 4
6 < x < 14
Thus the third side can be 7, 8, 9, 10, 11, 12, 13
Find the equation of the circle that has center (-4,3) and passes through 3,-3
Answers
Answer:
(x+4)^2+(y-3)^2 = 85
Step-by-step explanation:
The standard form of equation of a circle is expressed as;
(x-a)^2 + (y-b)^2 = r^2
(a, b) is the center
r iis the radius
Get the radius
Radius is the distance between the two points
r^2 = (-3-3)^2 + (3-(-4))^2
r^2 - (-6)^2+(7)^2
r^2 = 36+49
r^2 = 85
Substitute (-4, 3) and r^2 = 85 into the formula
(x-(-4))^2 + (y-3)^2 = 85
(x+4)^2+(y-3)^2 = 85
This gives the required equation
Can someone pls help me
Answers
Answer:
10
Step-by-step explanation:
Answer: its an acute angle so its 90
Step-by-step explanation:
Multiple Choice Questions (MCQs)
14. The ratio between two numbers is 11:9. If the
sum of these two numbers is 40, what is the
product of the numbers?
(a) 396
(c) 400
(b) 432
(d) 384
Answers
Answer:
(c) 400 is correct answer
Copeid from Sandy
Answer:
400 is the best answer
Step-by-step explanation:
For me
Copied from Alia !!
Benito received a $100 gift card to his favorite coffee shop for his birthday every week he goes to the coffee shop and spends $5 on a drink.
A. Write an equation to represent the relationship between the amount of m money remaining on Benito’s gift card and the number of w weeks.
B. How many weeks will it be when Benito has only $15 remaining on his gift card?
Answers
$100- $5w= M
17 weeks is when he'll have 15
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
D
Step-by-step explanation:
Growth rate is exponential, and rate is 100%
Answer:
d
Step-by-step explanation:
20 POINTSSS!!
Which of the following sets of Real Numbers are Counting Numbers?
A. { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
B. { 1, 2, 3, 4 ... }
C. { 0, 1, 2, 3, 4 ...}
D. { ...-2, -1, 0, 1, 2 ... }
Answers
Answer:
option D. {......-2, -1, 0, 1, 2 ......}
what is the probability of rolling a dice and getting a six?
Answers
Answer:
1/6
Step-by-step explanation:
Assuming that the dice is 6 sided.
There is only one 6 side on the dice, out of 5 other sides.
Therefore, 1/6.
Answer:
1/6
ty :) brainliest
Find the area of a rhombus, whose diagonals are 10cm and 5.2cm
step by step
Answers
p and q are both the diagonals of the shape.
In this case, we would do 10 x 5.2 divided by 2, which gives us 26, so your answer is 26 cm^2 (squared).
Hope this helps!
help me with this please
Answers
Answer:
-1/2 or -1.5
Step-by-step explanation:
The y intercept is where the line or function crosses the y axis or the up and down axis or vertical axis. As you can see, f(g) is the blue line, and it crosses the y axis at about -1.5 or 1/2. HOPE THIS HELPS!
Question
2
1 pts
José invested $3000 in a 5 yr GIC that paid 3.95%/yr, compounded annually.
Answers
Answer:
this doesn't make any sense
Step-by-step explanation:
how to solve improper fraction of 4/5 - 1/4???
Answers
4/5 - 1/4
find a common denominator
it would be 20
4/20 - 1/20
change the numerator too
16/20 - 5/20
it would give you 11/20
Answer:
11/20
Step-by-step explanation:
First, you have to find a common denominator between the two fractions, 4 and 5 can both equal 20 so we change the denominators to 20, 4/5 =16/20 since whatever we multiply on the bottom we multiply on the top, now for 1/4 we change it to 5/20. Now for the question, we subtract since that's what it's asking, so 16/20 - 5/20, 16 - 5 equals 11 and the denominators stay the same so the answer would be 11/20
Add 5 1/5 and 4 3/5 as a fraction
Answers
Answer:
9 and 4/5
Step-by-step explanation:
Given: p || 9;
m || n;
m1 = 75°
What is m2?
Answers
Answer:
∠2 = 105°
Step-by-step explanation:
180° -75° = 105°
Find AC using either the distance formula or the pythagorean theorem
Answers
Answer:
[tex]4^{2}+2^{2}=c^{2}[/tex]
[tex]\sqrt{20} =c[/tex]
Step-by-step explanation:
Can someone help me out with this one???!!!
Answers
Answer:
b=6/5
Step-by-step explanation:
Fill in the blank
When you multiply exponents with the same base, you _______ the base, and ________ the exponents
Answers
Answer:
multiply the base and add the exponents