In this triangle, the product of sin B and tan C is
and the product of sin Cand tan B is
Answers
Answer:
[tex]\frac{c}{a}[/tex] and [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{b}{a}[/tex]
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{c}{b}[/tex]
Thus
sinB tanC = [tex]\frac{b}{a}[/tex] × [tex]\frac{c}{b}[/tex] ( cancel b on numerator/ denominator )
= [tex]\frac{c}{a}[/tex]
---------------------------------------------------------------------------
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex]
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{b}{c}[/tex]
Thus
sinC tanB = [tex]\frac{c}{a}[/tex] × [tex]\frac{b}{c}[/tex] ( cancel c on numerator/ denominator )
= [tex]\frac{b}{a}[/tex]
Related Questions
Serenity Spa charges $59 for a one-hour massage. They charge $0.95 for each additional minute over an hour. If x represents the number of minutes over one hour, which of the following equations represents the cost of a massage?
A.
y = 0.95x + 59.95
B.
y = 59x + 0.95
C.
y = 0.95x + 59
D.
y = -0.95x + 59
Answers
Answer:
c. y=.95x+59
Step-by-step explanation:
the cost of the one hour massage, then add .95 per every minute (x) extra after the hour
Please help me it's urgent
Answers
Answer:
16 units
Step-by-step explanation:
Just do the y of J minus the y of M. Multiply by 2 to get both widths together. Then do the x of K minus the x of J. Multiply by 2 to get both lengths together. Add both the answers up. Your final answer should be 16.
Brianna walks at a steady rate of 3.5 miles per hour. Write a direct proportion equation based on this statement. Identify all variables and the constant of proportionality. Explain what the constant of proportionality means in this situation
Answers
Answer:
Step-by-step explanation:
Based on the information provided we can create the following direct proportion equation...
D = 3.5x
In this equation, the variable D represents the distance that Brianna has walked while the variable x represents the number of hours she walked. In this equation, the constant of proportionality would be the 3.5 miles that Brianna walks per mile. This value affects the entire equation because it is multiplied by the number of hours Brianna walks which is directly proportional to the Distance she travels, as one value increases so does the other.
Then you have to purchase a new black belt because of all the Tylenol pray had the bell prize at $80 however I was in Wisconsin by 20% after that discount the store I tried signing on tax of 8% why was the final price and then you’ll pay for the belt?
Answers
Answer:
How might an author's point of view be related to his or her purpose?
Step-by-step explanation:
Answer:
You pay $69.12.
Step-by-step explanation:
Jane has $1 and 9 quarters in her pile. Brody has 13 quarters in his pile. If Jane gives Brody $1 and Brody gives Jane 4 quarters, will the two piles still be equal in value? Explain.
Answers
Answer:
Yes it will still be equal bc Brody has $3.1 and jane gave brody 1 more dollar then brody gave jane 4 quarters which is 1 dollar that's how the piles will still be the same
Step-by-step explanation:
plz mark brainilist
geometry please help super important:)
Answers
Answer:
x = -8 + √114 ≈ 2.7 [nearest tenth]
y = 7
Step-by-step explanation:
Given that ∆CAB ≅ ∆CDB, you can use CPCTC [corresponding parts of congruent triangles are congruent] to evaluate the given lengths and angle measures, to show that the corresponding measures are the same for both triangles. Using the triangle sum theorem which states that all angles in a triangle must add up to 180°, you can find ∠ACB.
If ∠CAB = 70°, and ∠ABC = 60°,
∠ACB = 50° because ∠CAB + ∠ABC + ∠ACB = 180°.
∠CAB + ∠ABC + ∠ACB = 180° →
∠ACB = 180° – ∠CAB – ∠ABC
∠ACB = 180° – 70° – 60°
∠ACB = 50°
70° + 60° + 50° = 180°.
Remember, the order of the letters in the angle are very important because it corresponds to the parts of the angle that make up the vertex which is the middle letter, along with the first and last letters which are the endpoints.
Because ∆CAB ≅ ∆CDB,
∠ACB ≅ ∠DCB [CPCTC].
As indicated in the problem, ∠DCB = (x² + 16x)°.
Because ∠DCB ≅ ∠ACB = 50°,
(x² + 16x)° = 50°.
So this can be completed as a square by converting this into vertex form.
x² + 16x = (x + 8)² – 64.
Then, (x + 8)² – 64 = 50.
(x + 8)² – 64 + 64 = 50 + 64 →
(x + 8)² = 114 →
(x + 8) = ±√114 →
x = -8 ± √114 [one more step]
[The measure must be positive so the expression must be added]
x = -8 + √114.
______________
This table shows the distance traveled by a car and the car’s average speed on different days.
A 3-column table with 5 rows. Column 1 is labeled Day with entries 3, 4, 5, 6, 7. Column 2 is labeled Average Speed (miles per hour) with entries 55, 58, 63, 65, 68. Column 3 is labeled Distance (miles) with entries 495, 660, 825, 990, 1,155.
Given that the days are the input, which output has a constant rate of change?
✔ distance
What is the constant rate of change?
✔ 165
Which relationship represents a linear function?
Answers
Answer:
distance to days
Step-by-step explanation:
Answer: distance and 165
A scale for a map states that 2 inches equals 21 miles. If the distance from El Paso to San Antonio on the map is 53 inches, what is the actual distance, in miles, between El Paso and San Antonio?
Answers
Answer:
Step-by-step explanation:
Answer:
556.5
Step-by-step explanation:
HURRY!! If the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the columns? A multiplication table. In the column labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the column labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 6, and 56 would be in the column for 2.
Answers
Answer:
B
Step-by-step explanation:
That's even, Steven.
That's odd, Mr. Todd.
Please mark as Brainliest!!!Answer:
The answer is A
Step-by-step explanation:
got it right on edge2021
please mark me as a brainlist please
-5/6(8+5b) = 75+5/3 b
Answers
Answer:
b = - 14
Step-by-step explanation:
Given
- [tex]\frac{5}{6}[/tex](8 + 5b) = 75 + [tex]\frac{5}{3}[/tex] b
Multiply through by 6 ( the LCM of 6 and 3 ) to clear the fractions
- 5(8 + 5b) = 450 + 10b ← distribute left side
- 40 - 25b = 450 + 10b ( subtract 10b from both sides )
- 40 - 35b = 450 ( add 40 to both sides )
- 35b = 490 ( divide both sides by - 35 )
b = - 14
The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw?
Answers
Answer:
120ft
Step-by-step explanation:
If the bases are 120ft apart from each other you would have to find the distance of going from first to second then to third. Then you divide it in half because you arent going around the diamond, you are cutting right through it.
Answer:
a
Step-by-step explanation:
a
Factorise fully
7g - 56
Answers
Answer:
7 (g-8)
Step-by-step explanation:
this is your answer
Andres bought a pair of shoes for $80 and 1 shirt for $20. The sales tax is 5%. How much did Andres pay for all the items including tax?
Answers
Answer: $21
HOPE THIS HELPS
CAN U PLEASE GIVE ME BRAINLIEST
Answer:
total=$100
tax=5%
then
$100+5%×$100
$100+5/100×$100
$100+0.05×$100
$100+$5
$105
Determine whether the relation is a function:
(3, 2), (1, 2), (4, 3), (6, -2)
Answers
Answer:
it is not a function
Step-by-step explanation:
because the element 2 has not ot unique image
Help pls!!!
A farmer budgets $5,000 to buy and feed a cow for 300 days. She buys the cow for $2,000,
so how much can she spend on food each day?
Answers
Answer:
10 dollars
Step-by-step explanation:
10 dollars a day
10x300=3000
3000+2000=5000
Step-by-step explanation:
how do you solve 18+8i/4i ?
Answers
Step-by-step explanation:
check attachment.
Thanks me later
If f(x) = x + 15, find f(3)
Answers
Answer:
I think its 18
Step-by-step explanation:
what is 1/4 written as a percent?
Answers
Answer:
25%
Step-by-step explanation:
1/4 = 25/100
and that fraction as a decimal is .25, which is equal to 25%
The fraction number 1/4 in the form of a percentage will be 25%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The fraction number is 1/4. Then, convert the fraction number into a percentage, then we have
P = (1/4) x 100
P = 0.25 x 100
P = 25%
The fraction number 1/4 in the form of a percentage will be 25%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
ASAP ASAP ASAP PLS PLS PLS PLS PLS PLS PLS ASAP
Answers
Answer:
Your answer would be C
Step-by-step explanation:
5% of 180,00 is 9000
Answer:
$9,000, so c
Step-by-step explanation:
$180,000 X 5% is $9,000
Can someone help? Thanks! It will be explained in the picture :)
Answers
Answer:
I think you multiply 4 by 5 ft
I say that because you do four times five then you have to do it all the way around and get that.
I don’t know if that is right though. SORRY!
16d − 5d − 10d = 20 Please Answer :)
Answers
Step-by-step explanation:
[tex]\rightsquigarrow[/tex] [tex]\tt{ 16d-5d-10d=20 }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{ 16d-15d=20 }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{d=20 }[/tex] ⠀
Answer:
D=20
Step-by-step explanation:
16d-10d=6d-5d=1d
D=20
16. What type of symmetry does the figure have?
A. Line
B. Point
C. Rotational
D. None
Answers
Answer:
Im guessing either D or C
Step-by-step explanation:
Negative 1/2 divided by 3/5
Answers
Answer:
-5/6
Step-by-step explanation:
Divide fractions is the same as multiplying the first by the reciprocal of the second. So this is now -(1/2)*(5/3). Then you multiply the top by the bottom to get -(5/6)
A circular race track has a diameter of 1/2 mile. How far does a car travel in one lap around the
track? (1/2 = .5)
round if needed.
I need the area, not the circumference :D
Answers
Answer:
If the circular race track is a circle, they are asking you to find the area of a circle.
Step-by-step explanation:
Area (A) = π This sign π is known as pi or also known as 3.142. What you need to do is pi x radius squared. Hope this helped.
Answer:
1.60
Step-by-step explanation:
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement?
A number line going from 50 to 58. An open circle is at 53. Everything to the right of the circle is shaded.
A number line going from 50 to 58. An open circle is at 54. Everything to the right of the circle is shaded.
A number line going from 50 to 58. A closed circle is at 54. Everything to the right of the circle is shaded.
A number line going from 50 to 58. A closed circle is at 55. Everything to the right of the circle is shaded.
Answers
Given:
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.
To find:
The graph that represents the set of heights that satisfy this requirement.
Solution:
Let x be the height required for the ride.
Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.
[tex]x\geq 54[/tex]
So, 54 and all values above 54 are in the solution set.
Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
Which equation is the Pythagorean theorem
Answers
Answer:
B
Step-by-step explanation:
What is the missing number in the pattern above? 12,84,588,___,28,812
Answers
Answer:
4,116
Step-by-step explanation:
Multiply by 7
12x7=84
84x7=588
and 588x7=4,116
So there's your answer 4,116
In a yoga class, 75% of the students are women. There are 24 women in the class. How many students are in the class?
Answers
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
round 81*2^x=99 to the nearest hunderedth
Answers
Answer: 0.29
Step-by-step explanation:
If you calculate it's:
0.28950661
You round to the nearest hundred bc it's too long.
Find the number in the hundredth place 8 and look one place to the right for the rounding digit 9. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Of the numbers 4, 5 and 8 which is a
solution of x > 5?