Trigonometric identities assignment 4
Simplify 5 sin ø sec ø
A. 5 cot ø
B. 5
C. 5 cos ø
D. 5 tan ø
Answers
Answer:
Answer: choice D.
Step-by-step explanation:
Trigonometric Functions
We need to recall some properties and definitions of the trigonometric functions.
[tex]\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}[/tex]
[tex]\displaystyle \sec \theta=\frac{1}{\cos\theta}[/tex]
We need to simplify the following expression:
[tex]5\sin\theta\sec\theta[/tex]
Substituting the identity for the secant:
[tex]\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}[/tex]
Operating:
[tex]\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}[/tex]
Substituting the definition of the tangent:
[tex]\displaystyle 5\sin\theta\sec\theta=5\tan\theta[/tex]
Correct choice D.
Related Questions
click to see the problem
Answers
Answer:
C is your correct answer i think
Step-by-step explanation:
Graph the system of linear inequalities.
y > 2x − 2
y < 2x + 3
Answers
Answer:
u should use des mos . com
answer: 2x − 2 < y < 2x + 3
Graph a dashed line, then shade the area below the boundary line since y is less than 2x + 3
.
pls help is ending of semester tomorrow
Answers
Answer:
18.7
Step-by-step explanation:
5.5 × 6.8 = 37.4 / 2 = 18.7
Answer:
This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h
A = (1/2 x 6.8 ) x5.5 = 18.7 ft²
Step-by-step explanation:
Matt's den is 10 feet longer than it is wide. If the dents area is 231 square feet, what are the dimensions of the room?
The dimensions of the room are
ft.
(Use a comma to separate answers as needed.)
Answers
Answer:
[tex]21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}[/tex]
Step-by-step explanation:
(Assuming the den is a rectangle)
Let [tex]x[/tex] be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as [tex]x-10[/tex].
The area of a rectangle is given as [tex]l\cdot w[/tex], therefore we can form the following equation:
[tex]x(x-10)=231[/tex]
Expanding this, we have:
[tex]x^2-10x=231, \\\\x^2-10x-231=0[/tex]
This factors into [tex](x-21)(x+11)=0[/tex], therefore [tex]x=21, \: -11[/tex].
Because -11 is extraneous, the length of the den is [tex]21[/tex] feet and the width is [tex]21-10=11[/tex]. Thus, the dimensions of the den are [tex]\fbox{$21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}$}[/tex].
Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.M. To 3:00 p.M., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour
Answers
Answer:
Approximately [tex]3410[/tex] steps each hour.
Step-by-step explanation:
Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.
Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.
To find: Number of steps, approximately, she walked each hour.
Solution: We have,
Total number of steps [tex]=20,458[/tex] steps.
Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.
So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.
Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.
i need two more , i got 1
Answers
Answer:
X=12,-4
Step-by-step explanation:
Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4
Help please!!!!!!!!!
Answers
Answer:
440 square inches
Step-by-step explanation:
5 x 8 x 11 = 440
Solve the inequality,
p+ 1 = 2
The solution is
Answers
Answer:
p = 1
Step-by-step explanation:
one. 2-1 would equal 1 so p would have to be 1 exactly
Hey can yall help me with this question thank you
Answers
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?
Enter a unit that best describes the number.
Answers
Answer:
102
Step-by-step explanation:
12 x 9 x 51 = 5508
5508 / 54 = 102
Hope this helps!
Answer:
102.00
Step-by-step explanation:
12 feet high * 9 feet wide * 51 feet long / 54 = the answer
define seperation by evaporation
Answers
Answer:
Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.
May it help you
Jen has 1 chocolate bar she is sharing with her friend, Joe. Jen takes 2/3 of Joe’s piece. What’s Joe’s current piece?
Answers
Answer:1/3
Step-by-step explanation:
If Jen has 1 chocolate bar means that he has 3/3 whole .If he gives 2/3 then he will be left with 1/3 part of the chocolate bar.
Write the equation of the function on the graph.
Answers
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
When is the slope intercept form only y= mx and not y = mx+b?
Answers
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
What is the area of the figure?
Answers
Answer:
252
Step-by-step explanation:
15 times 12 is 180. 3 times 6 is 18. 6 times 9 is 54. 252 is the area
from the adjoining figure, find the value of x
Answers
Answer:
x = 2°
Step-by-step explanation:
x + 2x + 30 = 180°
3x + 30 = 180°
3x = 180°/30°
3x = 6°
x = 6°/3°
x = 2°
Round your answer to the nearest tenth.
Answers
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
The point M is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the
Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals
Answers
2040
&Go do no cheat or dis
Answer: 4(11+12)
Step-by-step : don't ask why I'm even answering this
Does this table represent a proportional relationship?
A) Yes
B) No
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what is the value of x and y?
Answers
All angles in an equilateral triangle have equal values
Both angle x and y equal 60 degrees.
6|X– 3|+10=52
X= or x=
Answers
Answer:
x = 10, -4
Hope this helped!
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answers
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
Simplify the polynomial using multiplication.
−5b(2a−3a2)
−10a+3ba^2
−10ba+15ba^2
−5b+2a−3a^2
10ba−15ba^2
Answers
Answer:
−10ba+15ba^2
Step-by-step explanation:
The product of the given monomial and binomial is -10ab+15a²b.
The given expression is −5b(2a−3a²).
We need to simplify the polynomial using multiplication.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.
Now, 2a×(−5b)−3a²×(−5b)
=-10ab+15a²b
Therefore, the product of the given monomial and binomial is -10ab+15a²b.
To learn more about the multiplication of polynomials visit:
https://brainly.com/question/17419800.
#SPJ2
I need help with this question
Answers
Answer:
The answer would be YES, it is a dialation
Step-by-step explanation:
Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?
Answers
Answer:
75°
Step-by-step explanation:
What is the area of a circle is the radius is 8
Answers
Area of circle = pi x radius² (pi x 8²)
Step-by-step explanation: To find the area of the circle,
start with the formula for the area of a circle, which is [tex]A = \pi r^{2}[/tex].
Notice that our circle has a radius of 8 units.
So plugging into the formula, we have (π)(8 units)².
Now, (8 units)² is equal to 8 units × 8 units or 64 units².
So we have 64π units² which is an exact answer.
Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, "I can't believe I paid 125% of what you paid, Han!" Is what she said true? Explain. 14.3
Answers
clare bought it for 10 dollars and Han bought it for 8 dollars
you can set up a proportion 10/8 = x/100 and solve
1000 = 8x
125 = x
so yes, she was correct in saying this
Answer:
Step-by-step explanation:
e
A is directly proportional to B when A = 12, B = 3 a) find a formula for A in terms of B b) find the value of A when B = 5 c) find the value of B when A = 36
Answers
Answer:
a) A = kB
b) 20
c) 9
Step-by-step explanation:
A is directly proportional to B when A = 12, B = 3
a) find a formula for A in terms of B
A ∝ B
A = kB
Where k is constant of proportionality
when A = 12, B = 3
12 = 3k
k = 12/3
k = 4
b) find the value of A when B = 5
A = kB
k = 4
A = 4 × 5
A = 20
c) find the value of B when A = 36
k = 4
A = kB
B = A/k
B = 36/4
B = 9
Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10
Answers
Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.
The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answers
Answer: Answer Is C
Step-by-step explanation: Did the Quiz test thing
Answer:
C. 6p3 – 23p2 + 9p + 28
Step-by-step explanation:
edge