Answers
Answer:
sinФ = 8/17
cosФ = 15/17
tan Ф = 8/15
csc Ф = 17/8
sec Ф = 17/15
cot Ф = 15/8
Step-by-step explanation:
Let us revise the trigonometry functions
Sin(x) = opposite/hypotenuseCos(x) = adjacent/hypoteouseTan(x) = opposite/adjacentCsc(x) = hypotenuse/oppositSec(x) = hypotenues/adjacentCot(x) = adjacent/oppositeIn the given figure
The opposite side to angle Ф = 8
The adjacent side to angle Ф = 15
Find the hypotenuse using Pythagoras' theorem
[tex]Hypotenuse = \sqrt{8^{2}+15^{2} }[/tex]
[tex]Hypotenuse = \sqrt{64+225}[/tex]
[tex]Hypotenuse = \sqrt{289}[/tex]
[tex]Hypotenuse = 17[/tex]
Let us use the rules above to find the trigonometry functions
sinФ = 8/17
cosФ = 15/17
tan Ф = 8/15
csc Ф = 17/8
sec Ф = 17/15
cot Ф = 15/8
Related Questions
if 3/2p = 15 what is p
Answers
Answer:
p= 1/10
Step-by-step explanation:
i looked it up
Find x. Give reasons to justify your solution.
b
Lines
AB
and
CD
are straight lines.
Answers
Answer:
x = 28
Step-by-step explanation:
If AB and CD are the straight lines, sum all the angles formed at a point lying on this line will be 180°.
m∠COE + m∠EOF + m∠FOB + m∠BOD = 180° [Angles at a point O on line AB]
3x + x + (x + 12) + m∠BOD = 180°
m∠BOD = 180° - (5x + 12)
Similarly, m∠AOD + m∠AOC = 180°
152° + m∠AOC = 180°
m∠AOC = 28°
Since, ∠AOC and ∠BOD are the vertical angles,
m∠AOC = m∠BOD
180° - (5x + 12)° = 28°
5x + 12 = 180 - 28
5x = 140
x = 28
4.5ml=.........L
help meeeeee
Answers
0.0045 L
1000 ml in a L
So divide 4.5 by 1000
You get 0.0045
How many addition signs should be put between digits of the number 987654321 and where should we put them to get a total of 99?
Answers
Answer:
6 +s
Step-by-step explanation:
9+8+7+6+5+43+21 = 99
Find the volume of a box that is 2 in x 4 in x 3 inch
Answers
Answer:
24in
Step-by-step explanation:
2*3*4= 24
Graph the line using a point and a slope. Write the equation of each line.
c
a line that contains point (0, −3) and perpendicular to another line whose slope is 2.
Answers
Answer:
Graph attached.
Step-by-step explanation:
Line (i) contains point (0, -3)It's perpendicular to line (ii) whose slope is 2The product of slope of line (i) and slope of line (ii) should be equal to -1 (product of slopes of two perpendicular lines = -1)
i.e
Slope of line (i) × 2 = -1
Slope of line (i) = [tex]-\frac{1}{2}[/tex]
To find the equation of line (i), we need another point (x,y) on the line.
Slope (m) = change in y ÷ change in x = [tex]\frac{y - -3}{x - 0} = -\frac{1}{2}[/tex]
y = [tex]-\frac{1}{2} x[/tex] - 3
*The graph of this line is attached here below.
What is the measure of A
Answers
Answer:
the answer is 3
Step-by-step explanation: the third one is the answer
A tank measures 1.8m x 0.5m x 0.5 m what is the surface area including the top
Answers
Answer:
4.1
Step-by-step explanation:
1.8 x 0.5 = 0.9
0.5 x 0.5 = 0.25
2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)
2 x 2.05 = 4.1
Therefore the answer is 4.1
I hope that was helpful!
Answer:
Hope it helps.....plz mark as brainliest
Step-by-step explanation:
SA = 2(hl+hw+lw)
It doesn't matter which specifically is the height or width or length in this case.
1.8 x 0.5 = 0.9
1.8 x 0.5 = 0.9
0.5 x 0.5 = 0.25
2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)
2 x 2.05 = 4.1, which is the surface area.
Type the answer in standard form below.
What is the value
of the 7
in the number
7,682,912?
Answers
Answer:
its 7 million
Step-by-step explanation:
Please answer this correctly without making mistakes
Answers
Both are correct
I accidentally got rid of the other things so I now have to type 20 characters so i can actually answer it
Question 1 Triangle ABC is a right triangle. The lengths of the legs are 60 centimeters and 80 centimeters. What is the length, in centimeters of the hypotenuse?
HELP HURRY!!
Answers
If the number has 6 hundreds. The tens digit has a value of 50. The ones digit is the difference between the digits in the hundreds place and tens place. What is the number?
Answers
Answer:
90
Step-by-step explanation:
because it is between the hundred and tens place
Juan earns $625 per week. He is married and claims 3 withholding allowances. He pays $90 each week for childcare. If he participates in his employer's cafeteria plan and has the childcare expenses deducted from his wages before taxes, how much will he save in federal income and FICA tax each paycheck?
Answers
Answer:
help needed
Step-by-step explanation:
.
3a) (4 NF B.4.b. 4.NBTA1, 4.0AA.1) 28 is 7 times what number? Write your answer as a number. If a fraction is necessary, use the "/" key as the fraction symbol. Your
Answers
Answer:
4
Step-by-step explanation:
28/7=4
Which transformation of f(x) will produce the same graph as g(x)?
f(x) = 3x
g(x) = f(x) + 3
A.
h(x) = f(x) + 1
B.
h(x) = 2f(x)
C.
h(x) = f(x + 1)
D.
h(x) = f(x − 1)
Answers
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
When Alyssa was ten years old, she was twice as old as her horse midnight. If midnight died when he was twenty four years old, how old was Alyssa when Midnight died?
Answers
Let Alyssa's horse's age be x .
Then :-
Alyssa's age = 2x
Age of her horse when it died = 24
Alyssa's age when her horse died =
[tex]2x \\ = 2 \times x \\ = 2 \times 24 \\ = 48 \: years[/tex]
∴ Alyssa was 48 years old when her horse Midnight died .
Answer:
29
Step-by-step explanation:
Alyssa was twice the age of midnight so 10 ÷2 =5(age gap)
Midnight died at 24 so Alyssa was 29 that time because
24+5(age gap) =29
Hope this helps
The graphs below show some data from a coffee shop menu. One of the graphs shows cost (in dollar) vs. drink volume (in ounces), and one of the graphs shows calories vs. drink volume (in ounces.)
a. Which graph is which? Given them the correct titles.
Graph A: _______vs volume......... Graph B:_______vs volume
b. Which quantities appear to be in a proportional relationship?
1. cost vs volume or
2. calories vs volume
For the proportional relationship, find the constant of proportionality.
a. 0.21 per ounce,
b. 12 calories per ounce,
c. 0.38$ per ounce, or
d. 15 calories per ounce
Answers
Answer:
a. Graph A: Cost vs Volume
Graph B: Calories vs Volume
b. Graph B (Calories vs Volume)
c. k = 15
Step-by-step explanation:
a. It is not possible for a volume of 10 oz of drink to be sold for $150. It doesn't make common sense. Also, calorie level of 150 in 10 oz of drink seem plausible.
It makes more sense if 10 oz of the drink cost $3.75. Therefore, the graphs should be titled as follows:
Graph A: Cost vs Volume
Graph B: Calories vs Volume
b. The quantities in Graph B (Calories vs Volume) appear to be in a proportional relationship. We know this because if we try drawing a line to connect the points on the graph, it will give us a straight line. A straight line connotes proportionality.
Also the ratio of the quantities of the two known points given are the same. I.e. [tex] \frac{150}{10} = \frac{360}{24} = 15 [/tex]
Therefore the quantities compared in Graph B shows a proportional relationship.
c. Constant of proportionality = [tex] \frac{150}{10} = \frac{360}{24} = 15 [/tex]
what is 40 times 16
Answers
Answer:
640
Step-by-step explanation:
Answer:
the answer is 640 you're welcome
A person standing on moving walkway travels 90 feet in 30 seconds . What equation represents this relationship? How many feet will the person travel in 10 seconds?
y=kx
Answers
Answer: y=3x;30 feet
Step-by-step explanation:
is 7/28 and 12/34 proportional
Answers
Answer:
no it is notttttttttttttt
Answer:
No
Step-by-step explanation:
A triangle has one angle that measures 56∘ and one angle that measures 63∘. The measure of the triangle's third angle is _____ degrees.
Answers
Answer:
61 degrees
Step-by-step explanation:
Let's do this
So we know all the angles measure in a triangle will be 180 degrees
We have 56 and 63
To find the third, let's add and subtract
56+63=119
Now let's subtract from 180
So 180-119=61
The third angle measures 61 degrees
Now let's add them up and see if they total 180 degrees
So 56+63+61=180
Yay, we found the answer!
The answer is 61 degrees.
There are 15 students in my first period class. If 6 of the students in the class are boys, what percent of the students are boys?
A. 60%
B. 25%
C. 40%
D. 30%
Answers
Answer:
C
Step-by-step explanation:
If you were to multiply 15 by 40% it would equal 6.
No. of students in 1st class= 15
No. of boys = 6
Percentage of boys = 6/15 ×100
= 2/3×100
= 40%
If this answer helps you plz mark as brainlist..TQ..The formula K=59(F−32)+273.15 converts temperatures from Fahrenheit F to Kelvin K.
a. Solve the formula for F.
F=
Answers
Answer:
9/5 (K-273.15) + 32=F
Step-by-step explanation:
K=5 /9(F−32)+273.15
Subtract 273.15 from each side
K-273.15=5/9(F−32)+273.15-273.15
K-273.15=5/9(F−32)
Multiply by 9/5 on each side
9/5 (K-273.15)= 9/5 *5/9(F−32)
9/5 (K-273.15)=(F−32)
Add 32 to each side
9/5 (K-273.15) + 32=F−32 +32
9/5 (K-273.15) + 32=F
Answer:
f=1/59k+27.370339
Step-by-step explanation:
k=59(f−32)+273.15
Step 1: Flip the equation.
59f−1614.85=k
Step 2: Add 1614.85 to both sides.
59f−1614.85+1614.85=k+1614.85
59f=k+1614.85
Step 3: Divide both sides by 59.
59f/59=k+1614.85/59
f=1/59k+27.370339
If a biking tour group traveled at a constant rate of 34 miles per day for 5 days, how many miles did they cycle?
HURRY! WILL GIVE BRAINLY!!
Answers
Answer:170
Step-by-step explanation:
34 miles times 5 days is 170 miles
Answer:
170 miles
Step-by-step explanation:
They are traveling 34 miles per day, and if they travel for 5 days, just multiply the miles per day, or 34, by the number of days, or 5.
34*5=170
whats 2×1..... ............. . .......
Answers
Answer:
2
Step-by-step explanation:
Answer:
2x1 is 2
Step-by-step explanation:
Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1
Answers
Answer: Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1
Step-by-step explanation: x+8y-7z=12 5x+9y+5z=15 6z-3y-8x=1. - 18028782.
Which expression is equivalent to (18x + 9k) + (2x + 6k)?
16 x + 3 k
20 x + 15 k
20 x + 16 k
36 x + 54 k
Answers
Answer:
B. 20x + 15
Step-by-step explanation:
Get rid of the parenthesis and combine like terms: 18x + 2x and 9k + 6k
You get: 20x + 15.
Answer:
bStep-by-step explanation:
the person above me should have brainliest
The brewsters are saving for their daughters college days. The would like to be able to withdraw $800
Answers
Answer:
Very nice
Step-by-step explanation:
is there a question? or more information on it?
The high school has 35 teachers and 630 students. What is the ratio of teachers to students?
A: 18:1
B: 1:18
C: 630:35
D: 35:630
Answers
Answer:
The ratio of teachers to students is B) 1:18
Step-by-step explanation:
Simply divide the number of teachers to the number of students
630/35 = 18
Therefore the ratio between teachers to students is 1:18, meaning that there is 1 teacher designated for every 18 students.
Solve the equation for y
1/4y - 2x = 5
1. y = 8x + 20
2. y = 2x + 5
3. y = (1/2)x + 5/4
4. y = -8x + 20
Answers
Answer:
y = 8x +20
Step-by-step explanation:
The value of y for the given expression is y = 8x + 20. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 1/4y - 2x = 5. The value of y for the expression is solved as below:-
1/4y - 2x = 5
( 1 / 4 )y = 2x + 5
y = 4 ( 2x + 5 )
y = 8x + 20
Therefore, the value of y for the given expression is y = 8x + 20. The correct option is A.
To know more about an expression follow
https://brainly.com/question/723406
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