Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.
Answer:
sin (theta) = [tex]\frac{\sqrt{15} }{8}[/tex]
cos (theta) = [tex]\frac{7}{8}[/tex]
tan (theta) = [tex]\frac{\sqrt{15} }{7}[/tex]
cot (theta) = 7 square root 15/15
sec (theta) = [tex]\frac{8}{7}[/tex]
csc (theta) = 8 square root 15/15
Step-by-step explanation:
If Included in the table, which ordered pair (-4,1) or (1,-4), would result in a relation that is no longer a function. Explain your answer.
Answer:
(-4,1)
Step-by-step explanation:
Ordered pair (-4,1) means that x = -4 and f(x) = 1
Ordered pair (1,-4) means that x = 1 and f(x) = -4
From the table, we can see that the function is already defined for x = -4, but it is not defined for x = 1. So, the point (1,-4) can be included into the function, but the point (-4,1) cannot.
Which graph is the graph of this function?
A.
graph A
B.
graph B
C.
graph C
D.
graph D
Answer:
graph A.
Step-by-step explanation:
So, y = 1/2x - 2 is only graphed in A and D.
And x ≤ 6 is only graphed in graph A.
The graph of the piecewise function is the first graph (counting from the top).
Which is the graph of the function?
Here we have a piecewise function:
f(x) = 0.5*x - 2 if x ≤ 6
f(x) = -x - 1 if x > 6
So, we have an increasing line for x smaller or equal than 6, and a decreasing line for x > 6. Such that we should to have a closed dot at the end of the increasing line, because in that part we have the symbol ≥, meaning that x = 6 belongs to that part.
Then the correct graph is the first option.
If you want to learn more about piecewise functions:
https://brainly.com/question/3628123
#SPJ2
solve for h(2) h(t) = t2 − t + 7
if h(t) = t² - t +7
h(2) = -5
I hope it helps
Evaluate the expression of 1 + |9 + 2|
Answer: 12
Step-by-step explanation:
1 + |9 + 2|
1+ 11 = 12
Answer:
12
Step-by-step explanation:
[tex]1+|9+2|\\1+|11|\\1+11\\12[/tex]
Find the length of each object to the nearest centimeter
and millimeter.
6.Width of a book
7. Length of a pencil
PLS HELP HURRY I WILL MARK BRAINLESS IF THE ANSWER IS GOOD!
the width of a book is about ("25 x 20cm")
the length of a pencil is about 15cm (19cm if unsharpened)
Given f(x)=4x2+19x−5 and g(x)=4x2−x. What is (fg)(x)?
Answer:
[tex] \boxed{(fg)(x) = 16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x} [/tex]
Given:
[tex]f(x) = 4{x}^{2} + 19x - 5 \\ \\ g(x) = {4x}^{2} - x[/tex]
To Find:
[tex] (fg)(x) = f(x) \times g(x)[/tex]
Step-by-step explanation:
[tex] = > f(x) \times g(x) = (4 {x}^{2} + 19x - 5)( {4x}^{2} - x ) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 {x}^{2} (4 {x}^{2} - x) + 19x(4 {x}^{2} - x) - 5(4 {x}^{2} - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} - 4 {x}^{3} + 76 {x}^{3} - 19 {x}^{2} - 20 {x}^{2} + 5x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x[/tex]
Answer:
Step-by-step explanation:
Find the sum of the first 4 multiples of 10
Answer:
100
Step-by-step explanation:
First four multiples of 10 are :
10 , 20 , 30 , 40
So their sum is
10+20+30+40 = 100
True or false: When Solving Inequalities, IF you divide (or multiply) both
sides of the inequality symbol by a negative number, THEN you MUST FLIP
THE DIRECTION of the symbol. For example, a "<" becomes a ">" symbol. *
Answer:
True
Step-by-step explanation:
Alain throws a stone off a bridge into a river below.
The stone's height (in meters above the water), xxx seconds after Alain threw it, is modeled by h(x)=-5x^2+10x+15
What is the height of the stone at the time it is thrown?
Answer:
3 seconds.
Step-by-step explanation:
Answer:
15 meters
Step-by-step explanation:
I think the other guy answered the question similar to this one where it shows how many second but guys its height in meters anyway bye have a great day!!! :D
Under which operations are polynomials closed?
Answer:
addition, subtraction, and multiplication
Step-by-step explanation:
Convert 0.00049 to scientific notation. 4.9 ⋅ 103 4.9 ⋅ 104 4.9 ⋅ 10−3 4.9 ⋅ 10−4
Answer:
4.9×10⁴
Step-by-step explanation:
Mr. Gilmore sells furniture. He earned $210 for selling 3 sofas. Mr. Gilmore
earned $570 for selling ll sofas. Which of the following equations represents this
situation, where s represents the number of sofas Mr. Gilmore sold and e
represents the amount he earned?
Let s represent the number of sofas and e represent the amount earned.
We have been given that Mr. Gilmore sells furniture. He earned $210 for selling 3 sofas. Mr. Gilmore earned $570 for selling 11 sofas. We are asked to write the equation for given scenario.
We have two points on a line that are (3,210) and (11,570).
Let us find slope of line passing through these points.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{570-210}{11-3}[/tex]
[tex]m=\frac{360}{8}[/tex]
[tex]m=45[/tex]
Now we will use point-slope form of equation.
[tex]y-y_1=m(x-x_1)[/tex], where
m = Slope,
[tex](x_1,y_1)[/tex] = Any point on line.
[tex]y-210=45(x-3)[/tex]
[tex]y-210=45x-135[/tex]
[tex]y-210+210=45x-135+210[/tex]
[tex]y=45x+75[/tex]
Since amount earned is e and number of sofas is s, so our equation would be [tex]e=45s+75[/tex].
Therefore, our required equation would be [tex]e=45s+75[/tex].
pls help me out pls it is dou in a few minutes
Answer:
it would be 4. c=.72n as you need to find how much each notebook sells for and then N would be your variable so that would tell you how many of something that someone got.
Step-by-step explanation:
I need help with this please
Answer:
Step-by-step explanation:
Antelope, Montana:
21, 30, 42, 58, 70, 79
Range- 58 79-21= 58
Quartile 1- 30
Quartile 3- 70
Interquartile Range- 40 70-30= 40
Augusta, Maine:
28, 32, 41, 53, 66, 75
Range- 47
Quartile 1- 32
Quartile 3- 66
Interquartile Range- 34
the number
When you multiply the number twice, you._______ the number
Answer:
square
Step-by-step explanation:
when multiplied by itself the number is squared
Hugo wants to make a sandwich using
Wrap (W) or Baguette (B)
and
Cheese (C) or Turkey (T)
and
Mayonnaise (M) or Ketchup (K)
a) List all the possible types of sandwiches Hugo could make.
One has been done for you (write all your answers on one line).
WCM,
b) What fraction of the possible types of sandwich have Turkey and Ketchup?
Answer:
a) WCK, WTM, WTK, BCM, BCK, BTM, BTK.
b) 1/4
Step-by-step explanation:
a)
For this answer we just need to write all possibilities of sandwiches, so we can use the options given to create all the sandwiches, besides the one given:
(WCM given), WCK, WTM, WTK, BCM, BCK, BTM, BTK.
b)
From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:
P = 2/8 = 1/4
Which polygons are similar??
Answer:
1 and 4
Step-by-step explanation:
If you put 3 teaspoons of baking soda in for every 8.5 ounces of water, how much baking soda do you put in 8 ounces of water?
Answer:
2.66667 OR 0.375
Step-by-step explanation:
Answer:
the exact amount is 2.823529412 which is about 3 teaspoons.
Step-by-step explanation:
[tex]\frac{3}{x} =\frac{8.5}{8} \\[/tex]
You can then criss cross
and get x= [tex]\frac{24}{8.5}[/tex]
x=2.823529412
Here is a list of numbers:
47, 22, 22, 13, 77, 8, 18 ,100 ,70 ,4
Calculate the range.
Answer:
The range is 96.
Step-by-step explanation:
The definition of range is "The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set." So subtract the highest value from the smallest value, and you get 96. pls mark brainliest.
Hope this helps.
Hello !
first, we need to find the smallest and the biggest number on the list:
4, 8, 13, 18, 22, 22, 47, 70, 77, 100
so it's 4 and 100
we substract the smallest from the biggest number :
100 - 4 = 96
96 is the range
× × i hope i helped you ! × ×
please answer this(picture attached)
explain if you can but if not that is ok :)
Answer:
5 and 6 are the roots
.................
Answer:
x1=5, x2=6
Step-by-step explanation:
HELP ASAP!
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 4 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 41 and 2 over 3 square inches.
9 and 41 over 51
10 and 1 over 4
36 and 5 over 6
174 and 29 over 48
Answer:
9 and 41 over 51
Step-by-step explanation:
divide 41 2/3 by 4 1/4
Answer:
9 and 41 over 51
Step-by-step explanation:
mark the other anser as branly not me ok
What is the vertex of this quadratic equation? Y=2(x-2)^2+5
Answer:
vertex = (2, 5 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x - 2)² + 5 ← is in vertex form
with (h, k) = (2, 5 ) ← vertex
AWARDING BRAINLIEST
Answer:
A
Step-by-step explanation:
3 times 3 plus 1 is 10 which makes it greater than 7
Answer:
B
Step-by-step explanation:
[tex]3m-1>7-1\\3m>6\\3m/3>6/3\\m>2[/tex]
Answer fast, please
The length of a rectangle is 3/2 units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A. 4w + 3
B. 7/2w – 3
C. 5w
D. 6w + 4
Answer:
C
Step-by-step explanation:
L=3w/2
P=2l+2w
3w+2w=5w
Please mark as Brainliest! :)
Have a nice day.
Your Answer is 4w+3. I had this question
plz answer will get brainliest
Answer:
4
Step-by-step explanation:
1/3 of 30 is 10
2/5 of 10 is 4
Gabriel wants to paint the model. How
much paint will he need?
The area of the square base is in.?
The area of each triangular face is
in.
Gabriel will need in.2 of paint.
Answer:
The area of the base is 144 square inches.The area of each triangular face is 66 square inches.Grabiel needs 408 square inches of paint.Step-by-step explanation:
The complete problem is attached.
Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of
[tex]B=12 \times 12 = 144 \ in^{2}[/tex]
The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face
[tex]A=\frac{1}{2}bh =\frac{1}{2}(12)(11)= 66 \ in^{2}[/tex]
But there are four triangle faces, so [tex]A_{faces} =4(66)=264 \ in^{2}[/tex].
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum
[tex]S=144+264=408 \ in^{2}[/tex]
Therefore, Gabriel needs 408 square inches to paint the whole model.
Answer:
144 66 408
Step-by-step explanation:
Look at the figure below.
What is the measure of Angle ACB
Hey there!
Since these angles share the same vertex (point where the lines that make the angle meet), they are congruent (they have the same value). Therefore, we can write the following equation.
4x-12=2x+48
We add 12 to both sides.
4x=2x+60
We subtract 2x from both sides.
2x=60
We divide both sides by 2.
x=30
Now, we can plug this in to find the measure of angle ACB. Whenever you see an angle that is named with three letters, the middle one is its vertex and the other two are the end points.
m∠ACB=4(30)-12
m∠ACB=120-12
m∠ACB=108
I hope that this helps! Have a wonderful day!
here is the next questions brainliest to the first who answer it
Answer:
Look at the attachment
A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for the year is $170, then how much is invested in each account?
Answer:
$2600 was invested on the 1% account while $2400 was invested on the 6% account.
Step-by-step explanation:
For simple interest we must apply the following formula:
M = C*r*t
Where M is the amount of interest generated, C is the invested money, r is the rate of interest and t is the elapsed time.
The sum of capital investead in each account, "x" for the 1% interest one and "y" for the 6% interest one, must be equal to the original $5000. The same way as the interest generated from these investments must be equal to the earnt $170. So we have:
x + y = 5000
For the first account:
M1 = x*0.01*1 = 0.01*x
For the second account:
M2 = y*0.06*1 = 0.06*y
The sum of interests:
0.01*x + 0.06*y = 170
We have a system of equations as shown below:
x + y = 5000
0.01*x + 0.06*y = 170
Multiplying the first equation by -0.01 and adding both equations we have:
-0.01*x - 0.01*y = -50
0.01*x + 0.06*y = 170
0.05*y = 120
y = 120 / 0.05 = $2400
x = 5000 - 2400 = $2600
$2600 was invested on the 1% account while $2400 was invested on the 6% account.