Answer:
[tex]\theta=\dfrac{\pi }{3}\\\\\theta=\dfrac{5\pi }{3}[/tex]
Step-by-step explanation:
[tex]\theta = x[/tex]
[tex]5-4 \sec (\theta) = -3[/tex]
[tex]-4 \sec (\theta) = -3-5[/tex]
[tex]-4 \sec (\theta) = -8[/tex]
[tex]\dfrac{-4 \sec (\theta)}{-4} =\dfrac{-8}{-4}[/tex]
[tex]\sec (\theta)=2[/tex]
Once
[tex]\sec(\theta)=\dfrac{1}{\cos(\theta)}[/tex]
[tex]\sec (\theta)=2 \implies \dfrac{1}{\cos(\theta)}=2 \implies \cos(\theta)=\dfrac{1}{2}[/tex]
The solutions for [tex]\cos(\theta)=\dfrac{1}{2}[/tex] are
[tex]\theta=\dfrac{\pi }{3}+2\pi n, n \in \mathbb{Z}\\\\\theta=\dfrac{5\pi }{3}+2\pi n, n \in \mathbb{Z}[/tex]
But once the interval for the solution was given,
For [tex][0, 2\pi)[/tex]
[tex]\theta=\dfrac{\pi }{3}\\\\\theta=\dfrac{5\pi }{3}[/tex]
-3 1/5+(-6 1/2) please help quickly
Answer:
Exact Form:
-97/10
Decimal Form:
−9.7
Mixed Number Form:
-9 7/10
Answer:
i think that it is -9 7/10
Step-by-step explanation:
-3 1/5+(-6 1/2. 3+6=9 1/5+1/2=7/10. and that would make the final answer -9 7/10
Which problem would be best solved by dividing decimals?
Answer:C
Step-by-step explanation:
For each line, determine whether the slope is positive, negative, zero, or undefined.
Line 1
Line 2
Line 3
Line 4
O Positive
Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
Answer:
1. Negative
2. Undefined
3. Positive
4. Zero
Step-by-step explanation:
just took notes on subject and know answer. 100% sure its right
The slope of a line is determined by its steepness.
The formula for calculating slope is expressed as;
[tex]\frac{\triangle y}{\triangle x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
For the first graph, we can assume the coordinates (-1, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0_1}{0-(-1)}\\\frac{\triangle y}{\triangle x} = \frac{-2}{1}\\\frac{\triangle y}{\triangle x} = -2\\\\[/tex]
Since the slope is -2 which is a negative value, hence the slope of LlNE 1 is negative
For the vertical line, since the line is parallel to the y axis and the change in the x-value is zero, hence the slope of LINE 2 will be UNDEFINED
For the THIRD graph, we can assume the coordinates (2, 0) and (0, -2), the [tex]\frac{\triangle y}{\triangle x} = \frac{-2-0}{0-2}\\\frac{\triangle y}{\triangle x} = \frac{-2}{-2}\\\frac{\triangle y}{\triangle x} = 1\\\\[/tex]
Since the slope is 1 which is a negative value, hence the slope of LlNE 3 is positive
For the horizontal line (fourth graph), since the line is parallel to the x-axis and the change in the y-value is zero, hence the slope of LINE 4 will be ZERO
Learn more here https://brainly.com/question/20692053
John is splanting a garden. The width of the garden is 3 and 3/4 yard. The length of the garden is 4 1/2 yards. What is the area in square yards of the garden.
Answer:
tsuguduvidtdihuz4syh9h54f9i84g0u5d8hiztg9g6g
What is the distance between the points (15, -18) and (-6, -18) in the coordinate plane?
Answer:
the distance will be 21 whatever feet and so on. :)
hope this helps
Jon has 60,500 cars. He is a car dealer. 60% of the cars are green. How many cars are green?
Answer:
36300
Step-by-step explanation:
Answer:
The answer is 36,300.
Step-by-step explanation:
Okay, here's what we know, Jon has 60,500 cars and 60% of those cars are green. And what we are trying to figure out is how many cars are green.
So we need to convert the problem to an equation using the percentage formula: P% * C = G.
P stands for the percentage, C stands for the total number of cars, and G stands for the total number of green cars.
1. The percentage of green cars is 60% of all the cars. The variable C is 60,500, so the equation is 60% * 60,500 = G.
2. Convert 60% to a decimal by removing the percent sign and dividing by 100: 60/100 = 0.6.
3. Substitute 0.6 for 0.6% in the equation: 60% * 60,500 = G.
4. G becomes 0.6.
5. Do the math: 0.6 * 60,500 = 36,300.
6. G = 36,300.
So 60% of 60,500 is 36,300 and 36,300 cars are green
Let's double check our answer with the original question: What is 60% of 60,500?
Multiply 0.6 * 60,500 = 36,300
So yes, our answer is correct and Jon has 36,300 green cars.
find the coordinate of the midpoint of the segment with the given endpoints -7 and 8
Answer:
The coordinate of the midpoint is 1/2
Step-by-step explanation:
Midpoint
The midpoint of a segment defined in a one-dimension system is
[tex]\displaystyle \bar x=\frac{x_1+x_2}{2}[/tex]
Where x1 and x2 are the coordinates of the points.
The given segment has endpoints x1=-7 and x2=8, thus:
[tex]\displaystyle \bar x=\frac{-7+8}{2}[/tex]
[tex]\displaystyle \bar x=\frac{1}{2}[/tex]
The coordinate of the midpoint is 1/2
Can u give me 6 and 7
Answer: if you need the relationship angle 6 and 7 are vertical angles
Step-by-step explanation:
Rewrite 1/4 barrel over 2/3 of an hour as a unit rate
A.2 2/3
B. 1/6 barrel/hour
C. 6 barrels/hour
D. 3/8 barrel/hour
Answer:
d
Step-by-step explanation:
In a certain chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 799 grams of copper. How many grams of zinc does it contain?
Answer:
let's see what to do buddy...
Step-by-step explanation:
[tex] \frac{zinc}{copper} = \frac{3}{17} \\ \\ \frac{zinc}{799} = \frac{3}{17} [/tex]
Multiply the sides of the equation by 799
[tex]zinc = \frac{3}{17} \times 799 \\ \\ zinc = \frac{3}{17} \times 17 \times 47 \\ \\ zinc = 3 \times 47 = 141 [/tex]
So A jar of the chemical contains 141 grams of zinc.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Consider the tables.
Which table shows input and output values that
represent a quadratic function?
Table A
x
fx)
-10
8
-8
4
-6
0
4
4
2
48
O Table A
O Table B
Table B
X
fx)
46
--10
-1,002
8
-514
4
-66
-218
Table C
O Table D
-2
410
Table C
-10
1,002
8
802
46
602
4
402
12
202
fix)
Table D
X
f(x)
-10
-112
-8
--76
-6
1148
4
28
2
16
Next
Submit
Mark this and retum
Answer:
i think its a
Step-by-step explanation:
The ratio of the change in the y and x values, in the table gives the slope
graph of the linear function.
Correct response:
The slope of the linear function is -6
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as, dx/dy.
here, we have,
Method used for finding the slope
From the given table, we have;
The first difference of the y-values = 2 - 8 = -6 = Constant
The rate of change of the x-values = 1 = Constant
Therefore;
The function is a linear function;
The slope, m, is given by the formula;
m = y2 - y1/x2-x1
Taking a pair of points as follows;
(0, -4) = (x₁, y₁)
(2, -16) = (x₂, y₂)
We have;
m = -6
The slope of the linear function, m = -6
Learn more about linear functions here:
brainly.com/question/14322770
#SPJ7
Complete question:
The table represents a linear function.
What is the slope of the function?
0-6
O 4
х
-2
-1
0
1
2
у
8
2
-4
-10
-16
04
O 6
Mark this and retum
Save and Exit
Next
Submit
An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group suspects the actual average is more than 250 W. They take a sample of 16 toaster ovens and calculate the average consumption to be 260 W. Answer the following questions:
a. Would you reject the Null at 1% level of significance?
b. Would you say the toaster oven consumes more than 250 W of power if you are willing to commit a Type 1 Error of 2.5%?
c. What is the cut-off Watts at 2.5% level of significance?
d. In reality, suppose the average power consumption is 265 W. What is the Type II error when Type I error is set at 2.5%?
e. What is the cut-off Watts at 1% level of significance?
f. In reality, suppose the average power consumption is 265 W. What is the Type II error when Type I error is set at 1%?
g. Based on these calculations, what happens to Type II error if Type I error is lowered?
h. Based on these calculations, what happens to Type I error if Type II error is increased?
Answer:
a. No the null hypothesis cannot be rejected at 1% level of significance as the calculated value of z= 2.222 which lies with in 2.333
b. Yes for the Type 1 Error of 2.5% we say the toaster oven consumes more than 250 W of power because the calculated value 2.22 lies outside the region for 1.96
c. The cut-off at 2.5% level of significance is 258.82 W.
d. 0.85 is the area for Type 2 error.
e. The cut-off at 1% level of significance is 260.485W.
f. 0.154 is the area for Type 2 Error
g. The Type 2 Error is increased when Type 1 Error is decreased.
h. The Type 1 Error is decreased when Type 2 Error is increased .
Step-by-step explanation:
The answer is attached.
1p
A man travelled by a car for 3 days. He covered 1080 km each day. He
drove the first day 10 hours at 108 km per hour, the second day 12 hours at
90 km per hour and third day 18 hours at 60 km per hour. What has his
average speed.
O 81 km per hour
O 80km per hour
O 83 km per hour
82 km per hour
Answer:
O 81 km per hour
Explanation
Given parameters:
Number of days traveled = 3 days
Distance covered on the first day = 1080km
Time of travel = 10hrs
Rate of travel = 108km/hr
Time of travel on second day = 12hrs
Rate of travel = 90km/hr
Time of travel on third day = 18hrs
Rate of travel = 60km/hr
Unknown
Average speed = ?
To find the average speed, we sum the distances and divide by the sum of the time.
Average speed = [tex]\frac{Total distance}{total time}[/tex]
we do not know the second and third distances;
Distance = speed x time
D2 = 90 x 12 = 1080km
D3 = 60 x 18 = 1080km
Now;
Average speed = [tex]\frac{1080 + 1080 + 1080 }{10 + 12 + 18 }[/tex]
Average speed = [tex]\frac{3240}{40}[/tex] = 81km/hr
The average speed is 81km/hr
Plaase help me ...................
The perimeter of a rectangle is 100 ft , if the wife is 20 ft what is the value of the length?
Answer:
30
Step-by-step explanation:
since the width is 20, there are 2 sides, so multiply by 2 and it's 40. Subtract 40 from 100 and you get 60. 60 is both lengths combined, so divide by 2 and you have 30 as your length. :)
Truckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truck contributes $500. formulate an LP that will maximize Truckco’s profit.
Answer:
Step-by-step explanation:
Let y represent type 2 truck and x represent type 1 truck. The painting can be represented by the inequality:
[tex]\frac{x}{800}+\frac{y}{700}\leq 1[/tex] (1)
The assembling can be represented by the inequality:
[tex]\frac{x}{1500}+\frac{y}{1200} \leq 1[/tex] (2)
Also, x, y ≥ 0
The objective function is given as:
max z = 300x + 500y
Plotting 1 and 2 using online geogebra
From the graph, the optimal value is at (0,700). Hence:
max z = 300(0) + 500(700) = $350000
What is the value of the expression 2^2 + 8^2 ÷ 2^2?
8
10
17
20
Answer:
answer is 20
Step-by-step explanation:
2^(2) =4
8^(2) =64
2^2 =4
4+64-:4
64-:4=16
16+4=20
What is the greatest common factor of 12,18,26
Which scenario could represent the expression −100÷5?
A baker evenly places 100 cookies among 5 sheet pans. How many cookies does the baker place on each sheet pan?
A baker evenly places 100 cookies among 5 sheet pans. How many cookies does the baker place on each sheet pan?
A group of 5 friends decide to split a debt of $100 evenly among each other. How much does each friend owe?
A group of 5 friends decide to split a debt of $ 100 evenly among each other. How much does each friend owe?
A person eats 5 cups of popped popcorn for a total of 100 calories. How many calories are in each cup of popped popcorn?
A person eats 5 cups of popped popcorn for a total of 100 calories. How many calories are in each cup of popped popcorn?
A principal evenly splits 100 students into 5 teams for a field day. How many students are on each team?
A principal evenly splits 100 students into 5 teams for a field day. How many students are on each team?
Answer:
_20
Step-by-step explanation:
that is my answer I just use calculator and I get that answer
answer this for a brainly thingy
Answer: c
Step-by-step explanation:
Answer:
what is the question being asked?
Step-by-step explanation:
I would like someone to help please, find the reciprocal of 10 1/2
Answer:
2/11
Step-by-step explanation:
10 1/2 is the same as 11/2. The reciprocal of 11/2 is 2/11
I NEED HELP PLEASE!!!!!!!!!!
Perry wants to project a movie from his phone to a screen on the wall. The side
length of the screen is 56 in. The scale from the screen to the phone is 7 in. to 1 in.
What is the side length of Perry's phone? Show your work.
The side length of perry's phone will be 8 inches.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Perry who wants to project a movie from his phone to a screen on the wall. The side length of the screen is 56 in. The scale from the screen to the phone is 7 in. to 1 in.
Assume the side length of perry's phone be [x] inches. Then, we can write the proportion as -
56/x = 7/1
x = 56/7
x = 8
Therefore, the side length of perry's phone will be 8 inches.
To solve more questions on equation modelling, visit the link below-
brainly.com/question/6593383
#SPJ5
Shureka Washburn has scores of 81, 67, 79, and 43 on her algebra tests. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 71 or higher, given that the final exam counts as two tests.
Answer:
72+67+82+79=300
300/4=75
300+81+81=462
462/6=77
Step-by-step explanation:
Find the value that makes the equation
2d + 4 = 12 true.
Answer:d=12
Step-by-step explanation:
It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.
Answer:
x = 25
Step-by-step explanation:
It is given that, ray Ray AP bisects angle CAT. It means,
[tex]\angle CAT=\angle CAP+\angle PAT[/tex]
Also, [tex]\angle CAP = \angle PAT[/tex]
It gives, [tex]\angle CAT=2\angle PAT[/tex]
ATQ,
[tex]\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4[/tex]
So,
[tex]5x+17=2(3x-4)\\\\5x+17=6x-8[/tex]
Taking like terms together,
[tex]5x-6x=-8-17\\\\-x=-25\\\\x=25[/tex]
So, the value of x is 25.
A triangle has sides measuring 5m2+3m−2, 5m2+3m−2, and8m2−4m+3. What is its perimeter? Question 5 options: 18m2−2m+3 18m2+2m−1 18m2+4m−1 18m2+10m+3
Answer:
Just add the sides
Step-by-step explanation:
Match each unit rate to its ratio. PLEASE HELP
Answer:
1½ gallons per minute3 gallons per minute ⅔ gallon per minute 9 gallons per minuteStep-by-step explanation:
You have to divide both numbers.
Someone help me please
Answer:
x=6.4
Step-by-step explanation:
4^2+5^2=x^2
x=6.40
Which of the following is an informal proof of the given conjecture? Conjecture: All squares are similar
Answer:
the last one, i just got 100%
Step-by-step explanation:
Option 4 : Square A has side lengths a₁ =3, a₂= 3 and Square B has side lengths b₁=6,b₂=6 Then show that the ratio of corresponding side length is equal: a₁ /a₂=b₁/b₂, 3/3=6/ 6 is the informal proof of the given conjecture.
What is informal proof?Informal proofs are used to proof a theorem in different methods of proving theorems and steps of the proof are not formally framed.
Mostly by taking a particular example a theorem is proved.
All square are similar.
This statement is true
∴ Option 1 is false
Option 2 is formal proof as sides of squares A and B are taken as variables x and y therefore this proof can be used for any pair of two squares
Option 3. is wrong proof as the two sides of square A and B are taken unequal but square has all four sides equal.
Option 4 is correct proof but it is not a formal one as a particular example is taken to proof with statement
Therefore option 4 is the correct option that show the informal proof of the given statement.
Also, learn more about Informal proofs from the link below:
https://brainly.com/question/13419413
#SPJ2
Solve 2x + 5y = −13
3x − 4y = −8
Answer: 100
Step-by-step explanation: 5+5+10+30-50+100