Answer:
36 °
Step-by-step explanation:
In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.
Tan A ° = opposite / adjacent
replacing:
Tan A ° = 50/68
Tan A ° = 0.735
A ° = arc tan (0.735)
A ° = 36.32
Which means that the angle of inclination is 36°
a) Form an inequality in terms of x
b) Solve the inequality to find the possible width of the field
Answer: x<6m+4yt
Step-by-step explanation:
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You
pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the
experiment.
Question Progres
izzes
Answer:
coin: ball:
1
head -- 6
7
1
tail -- 6
7
The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.
Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
H T
----------------- ---------------
1 6 7 1 6 7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}
Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.
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In the figure, BE||CD. Solve for x. Show your work.
Answer:
Answer is x = 15
Answer is given below with explanations.
Step-by-step explanation:
[tex]in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\ [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
question in attachment
Answer:
a₁ = 3
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{6}[/tex] = 189 and r = 2, thus
[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is
a₁( 64 - 1) = 189
63a₁ = 189 ( divide both sides by 63 )
a₁ = 3
Event A: lands on yellow.
Event B: lands on green.
Events A and B are a0 events.
Answer:
1/16
Events A+B are written (P) yellow : 1/4 * (P) green : 1/4
Ao event = (P) 1/4 * 1/4 = 1/16
Step-by-step explanation:
The probability of event A and event B is 1/16.
We have given that,
Event A: lands on yellow.
Event B: lands on green
Events A+B are written
yellow(P) = 1/4 * (P) green= 1/4
What is the meaning of probability?
Probability is defined as the likelihood of something occurring or the chance of something happening.
Ao event (P)=1/4 * 1/4
Event = 1/16
Therefore the probability of event A and event B is 1/16.
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find the slope of the line that passses thruogh 1,5 and 10,9
Answer: The slope is 4/9 or -4/-9.
Step-by-step explanation:
(1,5)
(10,9) Find the difference in the y values and divide it by the difference in the x values.
5-9= -4
1- 10= -9
-4/-9= 4/9
so the slope is 4/9
Using the slope we could also find the y-intercept and write the equation.
5=4/9 (1) + b where b is the y-intercept
5= 4/9 + b
-4/9 -4/9
b= 41/9
Now we will have the equation y= 4/9 + 41/9
A rectangular lot is 50 meters wide and 90 meters long. Give the length and the width of another rectangular lot that has the same perimeter but a larger area.
Answer:
Length = 80 metres and Width = 60 metres.
Step-by-step explanation:
Given
Length = 90m
Width = 50m
Required
Dimension of another rectangle with the same perimeter but larger area;
Perimeter of a rectangle is calculated as thus;
[tex]Perimeter = 2(Length + Width)[/tex]
Substitute: Length = 90m and Width = 50m
[tex]Perimeter = 2(90m+ 50m)[/tex]
[tex]Perimeter = 2(140m)[/tex]
[tex]Perimeter = 280m[/tex]
Area of a rectangle is calculated as thus;
[tex]Area = Length * Width[/tex]
Substitute: Length = 90m and Width = 50m
[tex]Area = 90m * 50m[/tex]
[tex]Area = 4500m^2[/tex]
So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²
Using trial by error method;
Assume length of a rectangle is 80m;
This means the width must be 60m
Calculating the perimeter
[tex]Perimeter = 2(80m+ 60m)[/tex]
[tex]Perimeter = 2(140m)[/tex]
[tex]Perimeter = 280m[/tex]
Calculating the area
[tex]Area = 80m * 60m[/tex]
[tex]Area = 4800m^2[/tex]
Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.
Length = 80 metres and Width = 60 metres.
Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;
please ansswer need help sorting these
anyone wanna help with this short chart right quick
Answer:
should look like this
Step-by-step explanation:
sorry for the messiness was a quick sketch
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.
Answer:
2 and 3 are true
Step-by-step explanation:
1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.
2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.
3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.
4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.
Hope this helps!
Answer:
2 and 3
Step-by-step explanation:
6. What is a reasonable temperature to cook a chicken?
a) 100°F b) 200°F c) 300°F d) 400°F
Answer:
200°F
Step-by-step explanation:
165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.
Answer:
The answer might be B. I hope this helps please tell me if right or wrong.
Step-by-step explanation:
Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____
Answer: 12.25 and 20.25
Step-by-step explanation:
20.25 - 12.25 = 8
Square root of 20.25 is 4.5
Square root of 12.25 is 3.5
4.5 - 3.5 = 1
Hope this helped
Kareem has a pencil that is 13.5 centimeters
ong and a crayon that is 87.5 millimeters
ong. How many millimeters longer is
the pencil than the crayon?
(1 centimeter = 10 millimeters)
47.5 millimeters longer
The pencil is 47.5 millimeters longer than the crayon.
To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.
Given that length of the pencil = 13.5 centimeters
Length of the crayon = 87.5 millimeters
To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.
So, the length of the pencil in millimeters is:
13.5 centimeters × 10 millimeters/centimeter = 135 millimeters
Now we can calculate the difference in length between the pencil and the crayon:
Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters
Subtracting the lengths, we find that the pencil is:
135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.
Therefore, the pencil is 47.5 millimeters longer than the crayon.
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Factor 4x2 - 16 using difference of two squares.
Answer:
4(x+2)(x-2)
Step-by-step explanation:
4x^2-16
4(x^2-4)
4(x+2)(x-2)
The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2
What is the perimeter of ΔWXY? 11.57 cm 12.22 cm 12.46 cm 14.50 cm
°ω°
Answer:
the answer is 14.50 cm
Step-by-step explanation:
i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!
Answer:
D. 14.50 cm
Step-by-step explanation:
Solve this inequality.
8x + 6 < 54
A. x < 6
B. x < 7.5
C.x < 14
D. x < 384
Answer:
x < 6
Step-by-step explanation:
8x + 6 < 54
Subtract 6 from each side
8x+6-6 < 54-6
8x < 48
Divide each side by 8
8x/8 < 48/8
x < 6
What is the answer for this for a graph 3j>6
First divide both sides of the inequality by 3.
On the left, the 3's cancel and you're left with j
and on the right, 6 divided by 3 is 2.
So we have j >2 which is the solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on 2.
We use an open dot because j > 2 but it is not equal to 2.
Then draw an arrow to the left to
represent all numbers greater than 2.
How many 6 packs of soda do jace and jake need to buy if each person has one soda?
Answer:
3 6 pks are required
Step-by-step explanation:
There are 14 people at the party
14 = 6x where x is the number of 6 pks
Divide each side by 6
14/6 = 6x/6
2 1/3 = x
Since we cannot buy part of a 6 pk, we round up
3 6 pks are required
1) Factor x2 +7x+ 10.
The answer is (x+2)(x+5)
The middle number is 7 and the last number is 10.
What numbers when multiplied get 10 AND when added together get 7?
I hope this helped :)
distance between (2,3) and (6,8)
Answer: [tex]\sqrt{41}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(6-2)^2+(8-3)^2} =\sqrt{4^2+5^2}=\sqrt{41}= 6.403124237432849[/tex]
The length of a rectangle is x. The length and width add up to 10 inches. What is the maximum area of the rectangle? Please provide steps on how solve!
Answer:
[tex]Area=25\,\,in^2[/tex]
Step-by-step explanation:
The length of the rectangle is unknown and is defined with the letter "x". Notice that the width of the rectangle is also unknown, so we can name it 'y".
Recall the formula for the area of a rectangle (length times width), and notice that it is this quantity the one we need to maximize (find the maximum possible value).
We use the other information provided to represent the rectangle's with (y) in terms of "x" :
length + width = 10 inches
x + y = 10
Therefore, y = 10 - x
Now we use this expression for "y" in the product for the area;
[tex]Area= x\,*\,y\\Area=x\,(10-x)\\Area=10x-x^2\\Area=-x^2+10x[/tex]
Notice that this quadratic expression corresponds to a parabola with branches pointing down (negative leading term), so its maximum value would be given at the vertex of the parabola.
Now recall that the formula for the x-value of a parabola's vertex when its function is of the form [tex]f(x)=ax^2+bx+c[/tex]
is given by:
[tex]x_{vertex}=-\frac{b}{2a}[/tex]
which in our case where "a" = -1 and "b" = +10, gives:
[tex]x_{vertex}=-\frac{b}{2a}\\x_{vertex}=\frac{-10}{2(-1)}\\x_{vertex}=\frac{-10}{-2}\\x_{vertex}=5[/tex]
Then the maximum value for the Area can be obtained by replacing "x" with "5" in the area formula:
[tex]Area=-x^2+10x\\Area=-(5)^2+10\,(5)\\Area=-25+50\\Area=25\,\,in^2[/tex]
Therefore, the area of the rectangle is [tex]25\,\,in^2[/tex]
Anita took off in her helicopter from 129 meters below sea level.She later landed at a location 539 meter above
Answer:
668
Step-by-step explanation:
She starts at 129 below sea level so she has to travel 129 to get to sea level then she ends at 539 so she has to travel 539 to get to 539 above so we add both numbers to get the answer
Answer:
668
Explanation:
To solve this problem, add 539 and 129 meters together.
539 + 129 = 668
Therefore, 668 represents Anita's change in altitude.
Mike wants to buy a 20 oz bottle of water for $4.00.
Mary isn't as thirsty and only wants an 8 ounce bottle of water for $1.75.
Mike says "its cheaper PER OUNCE to buy the 20 oz bottle of water." Mary disagrees.
Who is correct and why?
Answer: Mary is cheaper than mike
Step-by-step explanation:
Hopes this Helps
The given Stem-and-Leaf Plot displays the daily number of people who attended a 10-day carnival. What is the mean of the given data set? A. 69.7 people per day B. 71 people per day C. 65 people per day D. 70 people per day
Answer:
71 people per day for this qst
Answer:
the answer is actually A. 69.7
Step-by-step explanation:
i took the test a lot of times to get the answer
How many solutions does the equation 3x-10(x+2)=13-7x
Answer:
No solution
Step-by-step explanation:
1. Multiply the parenthesis by -10
2. Collect like terms
3. Cancel equal terms
4. You're left with -20=13, which is false. There is no solution.
How many faces does the rectangular solid have?
8
2
6
4
Answer:
This rectangular solid has 6 faces.
Step-by-step explanation:
The four sides and the top and bottom equal 6 faces.
Answer:
the answer is 6
Step-by-step explanation:
just count them
someone pls help mee
Answer:
-1/2
Step-by-step explanation:
The formula for slope is: y1-y2/x1-x2
The points given are: (x coordinate, y coordinate)
In the formula,
y1 is the y coordinate of the first point
y2 is the y coordinate of the second point
x1 is the x coordinate of the first point
x2 is the x coordinate of the second point
This said, we can plug our points in.
5-(-1)/-3-9
Simplify.
5+1/-12
6/-12
Divide both the numerator and denominator by -6.
-1/2
Write (2y^2)^3 without exponents.
Answer:
Step-by-step explanation:
(2y²)³=2³×y^6=8y^6
=8×y×y×y×y×y×y
What is the solution to the equation 1/4x +2= -5/8x - 5
Answer:
x = -8
Step-by-step explanation:
1/4x +2= -5/8x - 5
Add 5/8x to each side
1/4x +5/8x +2= -5/8x+5/8x - 5
1/4x+5/8x +2= - 5
Subtract 2 from each side
1/4x+5/8x +2-2= - 5-2
1/4x+5/8x = - 7
Get a common denominator
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7x * 7/8x = -7 *8/7
x = -8
Answer:
x=-8
Step-by-step explanation:
1/4x+2=-5/8x-5
find l.c.m=8
multiply through by l.c.m which is 8
x/4×8+2×8=-5x/8×8-5×8
2x+16=-5x-40
2x+5x=-40-16
7x=-56
divide both sides by 7
7x/7=-56/7
x=-8
Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems
Answer:
Malik 7.6
Vivian 26.6
Step-by-step explanation:
Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:
V=3.5m where M is the number of hours Malik worked.
We know Vivian works 19 more hours than Malik and that in equation would be:
m+19 = V
So equate the two
3.5m = m+19
3.5m-m=19
2.55m=19
m=7.6
V=7.6+19 = 26.6