Answer:
[tex]\cos(105^\circ)\approx-0.26\text{ and } \csc(105^\circ)\approx1.03[/tex]
Step-by-step explanation:
We are given that:
[tex]\cos(-105^\circ)\approx-0.26\text{ and } \csc(-105^\circ)\approx-1.03[/tex]
And we want to find:
[tex]\cos(105^\circ)\text{ and } \csc(105^\circ)[/tex]
Part A)
Remember that cosine (and secant) is an even function. By definition, this means that:
[tex]\cos(\theta^\circ)=\cos(-\theta^\circ)[/tex]
Therefore, since we know that cos(-105°) is about -0.26, it follows from the definition that:
[tex]\cos(-105^\circ)=\cos(105^\circ)\approx-0.26[/tex]
Part B)
Remember that cosecant (and sine) is an odd function. By definition, this means that:
[tex]\csc(-\theta^\circ)=-\csc(\theta^\circ)[/tex]
We know that csc(-105°) is about -1.03.
By the above definition, we can rewrite csc(105°) as csc(-(-105°)) or -csc(-105°).
Hence, it follows that:
[tex]\csc(105^\circ)=-\csc(-105^\circ)=-(-1.03)=1.03[/tex]
please help thanks in advance also best answer get's brainlest
Answer:
angle t is 55 degrees
Step-by-step explanation:
Here's my work:
Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110
110/2=55 (two because those are the two angles associated with the equal sides)
8 = r³
r = ?
Please......
Final Answer: [tex]r = 2[/tex]
Steps/Reasons/Explanation:
Question: [tex]8 = r^{3}[/tex]. [tex]r[/tex] = ?
Step 1: Take the cube root of both sides.
[tex]\sqrt[3]{8} = r[/tex]
Step 2: Calculate using a calculator.
[tex]2 = r[/tex]
Step 3: Switch sides.
[tex]r = 2[/tex]
~I hope I helped you :)~
will mark you as BRAINLIEST
Answer:
11^-2 = 0.0082644628
11^-1 = 0.0909090909
11^0 = 1
11^1 = 11
11^2 = 121
pleaseee help I will make you the brainiest.
Please help!!!!! will mark brainliest
Answer:
It should be B- an=3n+1 because it seems to be adding one every time
Step-by-step explanation:
Answer:
We will count number of squares
first term is 4
so,
second term is 7
so,
third term is 10
so,
We can see that this sequence is in arithematic sequence
we can use nth term formula
where
an is nth terms
a1 is first term
d is common difference
n is total number of terms
now, we can plug values
and we get
b 3n+1
Step-by-step explanation:
If x = 4 and y = -2, the value of 3 xy?
Answer:
-24
Step-by-step explanation:
Answer: -24
Step-by-step explanation:
3xy
3(4)(-2)
12(-2)
-24
6th grade math i mark as brainliest
9514 1404 393
Answer:
8, 9. Correct
10. 6.1×t
Step-by-step explanation:
8, 9. The answers shown are correct.
__
10. The only product in the given expression is 6.1t, which can be written as ...
6.1×t
when a symbol is used to represent multiplication.
The parts of the product are the multiplicand and the multiplier. Those parts are also called factors.
Evaluate [(30 + 6) -3^2] /9.2
It's 6 srry that guy above just stole free points
Plz help fast answer
Answer:
1: Patriotic
2: Global
3: Graphic
4:heroic
5: betrayel
6:angelic
7: dramatic
8: bacterial
Step-by-step explanation:
I think this is it
Select three ratios that are equivalent to 7: 6.
Answer:
ratio number 1- 14:12
ratio number 2- 21:18
ratio number 3- 28:24
Geometry help I need the statements and reasons
If the relative frequencies are 0.48 and 0.52, which
conclusion is most likely supported by the data?
O There is likely an association between the
categorical variables because the relative
frequencies are similar in value.
O An association cannot be determined between the
categorical variables because the relative
frequencies are similar in value.
O An association cannot be determined between the
categorical variables because the relative
frequencies are not similar in value.
O There is likely an association between the
categorical variables because the relative
frequencies are both close to 0.50.
Answer:The Last One
Step-by-step explanation:
Option (B) an association cannot be determined between the categorical variables because the relative frequencies are similar in value is the correct answer.
What is relative frequency?The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted. The sum of all relative frequencies will be one.
For the given situation,
The relative frequencies are 0.48 and 0.52.
A two-way frequency table can be used to show, analyze, and examine the relationships that exists between two categorical variables.
The two relative frequencies have the values that are similar to (close to) each other. So, there will be no association between the categorical values.
Hence we can conclude that option (B) an association cannot be determined between the categorical variables because the relative frequencies are similar in value is the correct answer.
Learn more about relative frequencies here
https://brainly.com/question/12414001
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J.T has twelve songs on his playlist. Ken has five times as many. How many songs does Ken have on his playlist?
Answer:
60 Songs
Step-by-step explanation:
12 * 5= 60
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .
Answer:
1. ac = 36
2. b = 13
3. 4 and 9
Step-by-step explanation:
Given
6x² + 13x + 6
Required
Fill in the gaps
Solving (1): The value of AC
The general form of an equation is:
ax² + bx + c
By comparison:
a = 6
b = 13
c = 6
So,
ac = a * c
ac = 6 * 6
ac = 36
Solving (2): The value of b
In (1) above, we showed that
b = 13
Solving (3): Two numbers that satisfy product ac and sum b
We have that.
ac = 36
If one of the numbers is 4, then the other number is
Other number = 36/4
Other number = 9
Alternatively, we have that.
b = 13
If one of the numbers is 4, then the other number would be:
Other number = 13 - 4
Other number = 9
Answer:
ac = 36
b = 13
The two numbers that have a product of ac and a sum of b are 4 and 9
Step-by-step explanation:
Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this
information, which representation best shows this relationship between the number of toys
Rudolfo has in his toy box, y, and the number of months that have passed, x?
Answer:
G
Step-by-step explanation:
(x)0 months: (y)15 toys, 1:17, 2:19, 3:21, 4:23, 5:25, 6:27, 7:29, 8:31, etc.
The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month.
Let x be the number of months and y be the total number of toys. Then the equation is given as,
y = 2x + 15
The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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A line has a slope of 3, is increasing, and passes through the point (2,7). What is its y-intercept?
The y-intercept of the line is 1
Using the slope - intercept relation :
y = bx + cc = Intercept; b = slope point (2,7)Substituting the values into the relation :
7 = 3(2) + c
7 = 6 + c
c = 7 - 6
c = 1
Therefore, the y-intercept of the line is 1.
Learn more on Intercept:https://brainly.com/question/25987747
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The area of a rectangle is twice the area of a square. If the rectangle is 6 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square.
Answer:
Dimension of rectangle = 6 inches by 3 inches
Dimension of square = 3 inches by 3 inches
Step-by-step explanation:
Given information:
- Length of rectangle = [tex]6[/tex] inches.
- Width of rectangle is the same as the side length of square.
- Area of rectangle is twice the area of square
Variable to define:
Let [tex]s[/tex] = side length of the square and the width of the rectangle
Finding dimensions of rectangle and square:
From the information given, we can write the equation:
[tex]6s=2s^2[/tex] (Area of rectangle is twice the area of square)
[tex]6=2s[/tex] (Divide [tex]s[/tex] on both sides)
[tex]s = 3[/tex] inches
Dimension of rectangle = length by width
= 6 inches by 3 inches
Dimension of square = side by side
= 3 inches by 3 inches
Hope this helps :)
Which of the following represents the GCF of 98 ab 3 and 231 a 3 ?
7 a
7 a 3
7
7 a 3b 3
Answer:
7a
Step-by-step explanation:
we know this, because there is no b in the second polynomial. Therefore, there cannot be a b in the answer. There is also no b^3 in the second polynomial, so there cannot be a ^3
Evaluate g(x)=4 -3x when x=-3,0, and 5
Answer:
-11
Step-by-step explanation:
please give me correct answer this is major
Answer:
d
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Original Tv cost 700 Current Tv cost 500 find the percent of decrease
Answer:
200 is the decrease ............
Answer:
the percent of decrease=28.57%
Step-by-step explanation:
(Old Price - New Price)/Old Price (and multiply that number by 100)
[(700-500)/700]*100=28.57%
16
Jamar skis down Mount Spalding at a constant rate. After skiing for two minutes, Jamar is at an elevation of 2,100 feet. After skiing for 5 minutes, Jamar is at an
elevation of 150 feet. What is the rate of change, in feet per minute, of Jamar's elevation?
A-700
B
-650
С
650
D 700
help a girl outt!! pleasseee answer asapppp:)) will mark brainliest
Answer:
ok
Step-by-step explanation:
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Answer:
Step-by-step explanation: the answer is c
PLEASE I WILL GIVE BRAINLIEST
Write the SLOPE INTERCEPT form of a line that passes through point A at (4,-3) and point B at (2,1)
Answer:
y = -2x + 5
Step-by-step explanation:
A(4, -3) ; B(2, 1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]
m = -2 ; A(4,-3)
[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]
Determine the amount of the semi-annual coupon for a bond with a face value of ₱ 300,000 that pays 10%, payable semi-annually for its coupons.
Answer:
Copuon= $15,000
Step-by-step explanation:
Giving the following information:
Face value= $300,000
Coupon rate= 10%
First, we need to determine the semiannual coupon rate:
Semiannual coupon rate= 0.1/2= 0.05
Now, the coupon using the following formula:
Copuon= face value*coupon rate
Copuon= 300,000*0.05
Copuon= $15,000
How do you find the run between two points? Can the rise be negative? Explain
Answer:
Step-by-step explanation:
To find run between two points, you will use the x-values.
For example, (2,3) and (4,5).
Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the run of these two numbers, you will subtract the second x value from the first x value.
Your answer would be 2 for the run.
It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.
Example:
points (2,8) and (5,1)
1 - 8 would equal -7.
HELP HELP PLEASE IMPORTANT
Answer:
2010
Step-by-step explanation:
1/2(24)(20)=240
50*45=2250
2250-240=2010
4 • 7 – 6 2 ÷ 3 also show your work
Answer:
7 1/3
Step-by-step explanation:
Lets do this in steps ok? K!
Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!
Step 1-- 4 x 7=28
Step 2-- 62 divided by 3 = 20 2/3
Step 3-- 28- 20 2/3
Step 4-- 27 3/3 - 20 2/3= 7 1/3
Hope this helps ∞<3
Answer:
[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]
[tex]4\cdot7[/tex] = [tex]28[/tex]
[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]
[tex]28-62[/tex] = [tex]-34[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
(3x + 3x²) + (2x² + 2x)?
Answer:
=5x2+5x
Step-by-step explanation:
Let's simplify step-by-step.
3x+3x2+2x2+2x