Answers
9514 1404 393
Answer:
1. sin(x) = a/c; cos(x) = b/c; tan(x) = a/b
2, 3 see below
Step-by-step explanation:
1. The mnemonic SOH CAH TOA reminds you of the relationships between trig functions and sides of a right triangle:
Sin = Opposite/Hypotenuse ⇒ sin(x) = a/c
Cos = Adjacent/Hypotenuse ⇒ cos(x) = b/c
Tan = Opposite/Adjacent ⇒ tan(x) = a/b
__
2. The attachment shows the two special right triangles. The 30-60-90 right triangle has sides in the ratio 1 : √3 : 2. The 45-45-90 isosceles right triangle has sides in the ratio 1 : 1 : √2.
These ratios can be used to write proportions that help you find the length of a missing side.
Example:
Suppose the triangle in problem 1 has x = 30°, and a = 10. Then we could find the length of missing side 'c' using a proportion involving the short side and the long side (hypotenuse).
2/1 = c/10 ⇒ c = 20
__
3. In a right triangle, the acute angles are complementary. The side adjacent to one acute angle is the side opposite the other. So the sine of one of the angles is the cosine of the other, and vice versa. This means the sine of an angle is the cosine of its complement, and vice versa.
__
Comment on question 3
The wording of this question is a little strange. Sine and cosine are not complementary. Rather, the angles for which those functions have the same value are complementary.
Related Questions
At the store, 10 ounces of candy cost $3.20. How many ounces can you get for $1?
Answers
Answer:
3.125 ounces
Step-by-step explanation:
10/3.20=3.125
Question 3 of 20 Which point lies on the graph of the function shown below? v=x^2 + 3x - 2 O A. (1,1) O B. (2,6) O C. (-1,-4) O D. (0,2)
Answers
9514 1404 393
Answer:
C. (-1, -4)
Step-by-step explanation:
Since you have the graph, you can easily plot the points to see which lies on it. The attached shows that only (-1, -4) is on the graph.
HELP! WILL GIVE BRANLIEST!!
Answers
Answer:
About 46 pples
Step-by-step explanation:
how many tiles did tim walk around?
Answers
What expression uses the GCF and is equivalent to 28 + 16
Answers
Answer:
The answer is 4(7+4)
Write y=-1/3x+2 in standard form
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = - \frac{1}{3} x + 2 \\ [/tex]
Multiply sides by 3
[tex]3y = - x + 6[/tex]
Add sides x
[tex]x + 3y = 6[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
There are 40 students in the class. If 10% are absent on Friday, what is the number of students present in the class?
Answers
Answer:
36
Step-by-step explanation:
if 10% are absent the other 90% are present
40 students represent 100%
? students represent 90%
?=40*90/100=36 students
PLEASE HELP ME 50 POINTS!!!
Explain how to simplify this expression:
(8a + 8) + (5a – 6).
Answers
8a+8+5a−6
=8a+8+5a+−6
Combine Like Terms=8a+8+5a+−6
=(8a+5a)+(8+−6)
=13a+2
=> (8a + 8) + (5a – 6)
=> (8a + 5a) + (8 – 6) [Combine like terms]
=> (13a + 2)
Samara runs 5 miles in 40 minutes if she continues running at the same pace how many minutes will it take her to run 13 miles
Answers
Answer:
104 minutes
Step-by-step explanation:
it takes 8 minutes to run a mile, so 8x13 is 104
correctly factor the expression 15a-6b+36 using the greatest common factors
Answers
Answer:
3 ( 5a - 2b + 12)
Step-by-step explanation:
15 = 3 * 5
6 = 2 * 3
36 = 2 * 2 * 3 * 3
GCF = 3
15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)
= 3 ( 5a - 2b + 12)
Answer:
3 ( 5a - 2b + 12)
Step-by-step explanation:
15 = 3 * 5
6 = 2 * 3
36 = 2 * 2 * 3 * 3
GCF = 3
15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)
= 3 ( 5a - 2b + 12)
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have?
13
11
8
4
Answers
Answer:
8
Step-by-step explanation:
are 3(m-2)/2(m-2) and 5(m-2) equiavalent expressions
Answers
The numbers, what are they saying??
3m-6/3m-6 is not equal to 5m-10
A caterer charges $275 for 15 people and $425 for 25 people. The cost, y, is a linear function of the number of x people. Write an equation in slope-intercept form for this situation. *
Answers
Answer:
The equation of the given situation is y = 15x + 50
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope b is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A caterer charges $275 for 15 people
∵ A caterer charges $425 for 25 people
∵ x represents the number of people
∵ y represents the cost
∴ (x1, y1) = (15, 275)
∴ (x2, y2) = (25, 425)
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{425-275}{25-15}=\frac{150}{10}[/tex]
∴ m = 15
→ Substitute it in the form of the equation above
∴ y = 15x + b
→ To find b substitute x by 15 and y by 275
∵ 275 = 15(15) + b
∴ 275 = 225 + b
→ Subtract 225 from both sides
∴ 275 - 225 = 225 - 225 + b
∴ 50 = b
→ Substitute it in the equation
∴ y = 15x + 50
∴ The equation of the given situation is y = 15x + 50
Suppose you observe a star orbiting the galactic center at a speed of 1300 km/skm/s in a circular orbit with a radius of 18 light-days. Calculate the mass of the object that the star is orbiting.
Answers
Answer: 1.1818^37 kg
Step-by-step explanation:
Given that:
Orbit speed = 1300 km/s
Radius (r) = 18 light days
Mass of object the star is orbiting :
Using the relation :
M = rv² / G
Where ; r = Radius in m ; v = velocity in m/s
G = 6.67 * 10^-11 = gravitational constant
18 light days in meters = 4.662 * 10^14 m
v = 1300km/s to m/s
v = (1300 * 1000)m /s = 1300000 m/s = 1.3 * 10^6 m/s
Hence ;
M = (4.662 * 10^14 * (1.3 * 10^6)^2 / (2/3) * 10^-10
M = (4.662 * 10^14) * (1.69 * 10^12) / (2/3) *10^-10
M = (7.87878 * 10^26) / 6.67 * 10^-11
= 1.1818^37 kg
Which inequality is true?
Answers
Answer:
[tex]\frac{3}{4}[/tex] > [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer: 2. Is true
Step-by-step explanation: (second option is true)
HELP I NEEF UT WITHIN 3mins! PLS HELP GOD BLESS U
Answers
Answer:
8.0%
Step-by-step explanation:
.8 * 5,000 = 400
What mathematical formula do you use for the following question. A rectangle whose perimeter is 104 feet has a length that is 12 feet longer than its width what is the area of the rectangle. The answer is 640 square feet 20 feet wide by 32 feet long.
Answers
Answer:
Width = 20 inches and Length = 32 inches
Area of rectangle = 640 feet²
Step-by-step explanation:
Perimeter of rectangle = 104 feet
Let width of rectangle = x
Length of rectangle = x+12
We need to find area of rectangle.
First we need to find value of x
The formula used to calculate perimeter of rectangle is: [tex]Perimeter= 2(Length+Width)[/tex]
Putting values and finding x
[tex]Perimeter= 2(Length+Width)\\104 = 2(x+12+x)\\104=2(2x+12)\\104=4x+24\\4x=104-24\\4x=80\\x=\frac{80}{4}\\x=20[/tex]
So, Value of x= 20
So, Width x= 20 inches
Length = x+12 = 20+12 = 32 inches
So, Width = 20 inches and Length = 32 inches
Now finding Area
The formula used is: [tex]Area=Length\times Width[/tex]
Putting values and finding area
[tex]Area=Length\times Width\\Area=20\times 32\\Area=640 \ feet^2[/tex]
Area of rectangle = 640 feet²
are the triangles congruent. if they are state how they are congruent.
Answers
Answer:
Step-by-step explanation:
Yes, the triangles are congruent.
SSS
Answer:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
question on picture attached, easy but i’m stuck (need help asap)
Answers
Answer:
∠CDF = 54
Step-by-step explanation:
In ΔAEB,
AE ≅ AB
∠ABE = ∠E = x {Angles opposite to equal sides are equal}
∠EAB + ∠E +∠ABE = 180 {angle sum property of triangle}
26 + x + x = 180
26 + 2x = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
∠ABE = ∠E = 77
In quadrilateral AECF
∠A + ∠E + ∠C + ∠F = 360
90 + 77 + ∠C + 90 = 360
∠C + 257 = 360
∠C = 360 - 257
∠C = 103
∠FCD + ∠BCD = ∠C
∠FCD + 67 = 103
∠FCD = 103 - 67
∠FCD = 36
ΔFCD,
∠FCD + ∠CDF + ∠CFD = 180
36 + ∠CDF + 90 = 180
∠CDF + 126 = 180
∠CDF = 180 - 126
∠CDF = 54
Give an example of repeating, nonterminating non-integers
Answers
What is 77+690+1102855+20000001= ?
And, one more question, what is the percentage of 64% ?
Answers
When adding 35.64 to a certain number, the sum is 38.24, as seen below. What number should go in the box to complete the addition problem?
The decimal 35.64 is added to an unknown whole number and 6 tenths to equal 38.24.
(5 points)
2
3
13
14
Answers
Answer:
it would be 2
Step-by-step explanation:
5he answer is two so you subtract and then add and then multiply to get your answer 6ou divide it by pie
Answer:
i checked his answer it was right good job
Step-by-step explanation:
if you have a slope of 1/2 that means you should
Answers
Sharleen is considering joining for either 3 months, 8 months, or 12 months. Will the costs for the
two clubs ever be the same? Is one a better deal? Write a summary of the costs for each club and give
Sharleen advice on which one she should choose. Include a graph with your explanation.
Answers
Answer:
More explanation please
Step-by-step explanation:
Can you add how much money is in the problem for each of the 2 clubs for 3, 8 and 12 months? Then people will help you I think
The expressions to represent the costs of each club is $10 + ($15 * m)
Let's begin by writing expressions for the costs of each club:
Multiplayer Madness:
Joining Fee: $50 (one-time payment)
Monthly Fee: $0 (since it's not mentioned, we assume there's no additional monthly fee)
The total cost for Sharleen to join Multiplayer Madness would be the joining fee only, which is $50.
Games Galore:
Joining Fee: $10 (one-time payment)
Monthly Fee: $15 (recurring monthly charge)
The total cost for Sharleen to join Games Galore would be the joining fee plus the cumulative monthly fees over time. Let's represent the total cost of Games Galore as a function of the number of months (m) Sharleen stays in the club:
Total Cost of Games Galore = Joining Fee + (Monthly Fee * Number of Months)
Total Cost of Games Galore = $10 + ($15 * m)
To know more about expression here
https://brainly.com/question/14083225
#SPJ2
Complete Question:
Your friend Sharleen is thinking about joining an online gaming club. She's trying to decide between Multiplayer Madness and Games Galore. Her brother insists that Multiplayer Madness is a better deal. Multiplayer Madness charges a joining fee of $50. It's a bit more expensive than Games Galore, a club that charges a $10 joining fee. But, Games Galore charges a fee of $15 a month. That's $5 more each month than the fee charged at Multiplayer Madness! Checklist Did You... Write expressions to represent the costs of each club?
please help me asap
Answers
1.option D and 2 is option D too
ne of best on this seriet
thing
Answers
PLEASE HELP ME WITH THESE TWO QUESTIONS ILL GIVE U A GREAT RATING
Answers
9 : C. 33/5
For #8 its B. 4.5
For #9 is C. 33/5
Hurry and answer please .
Answers
Answer:
First sentence is false
second sentence is true
third sentence is false
and the last one is true
Step-by-step explanation:
Step-by-step explanation:
the first person is right
Please I need help badly I also have stuff on my account
Answers
Answer:
B) y = 1/5x + 12/5
Step-by-step explanation:
2 = 1/5(-2) + b
2 = -0.4 + b
2.4 = b
2.4 = 12/5
In tilton school there are