Answer:
x = 45°.
Step-by-step explanation:
∠AED is a vertical angle with ∠BEC. That means the m∠AED = m∠BEC.
x + 115 = 160
x = 160 - 115
x = 45
So, x = 45°.
Hope this helps!
The diagram shows a scale drawing of a playground the scale of the drawing is 1:500 work out the perimeter of the real playground give your answers in meters
The perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.
Perimeter of a rectanglePerimeter of a rectangle = 2 (length and breadth)
Given to us,the scale of the drawing is 1:500
Assumptionlet's assume that the length of the scale drawing playground is x and the breadth of the scale drawing playground is y. therefore, the length of the playground is 500x and the breadth is 500y.
Perimeter of the scale drawing playgroundPerimeter of the scale drawing playground = 2(length+breadth)
[tex]= 2 (x+y)[/tex]
Perimeter of the real playgroundPerimeter of the real playground = 2(length+breadth)
[tex]=2 (500x+500y)\\=2 \times 500(x+y)\\= 1000 (x+y)[/tex]
Hence, the perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.
Learn more about scaling and magnification:
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Identify any outlier(s) in the data.
{79, 75, 125, 61, 78, 63, 88, 76, 68, 82, 67}
Step-by-step explanation:
In my opinion 125 is an outlier because it is the only 3 digit number
BRAINLIEST IF YOU HELP the correct simplification of 7x2(6x + 3x2 − 4)? A 21x4 − 42x3 + 28x2 B 42x4 + 21x3 − 3x2 C 21x4 + 42x3 − 28x2 D 42x4 − 13x3 + 11x2
[tex]\text{Simplify:}\\\\7x^2(6x + 3x^2- 4)\\\\\text{Use the distributive property:}\\\\42x^3+21x^4-28x^2\\\\\text{You can arrange them by exponent}\\\\21x^4+42x^3-28x^2\\\\\text{This means that your answer will be C).} 21x^4 + 42x^3 - 28x^2\\\\\boxed{\text{C).}\,\,21x^4 + 42x^3 - 28x^2}[/tex]
Answer:
It is C
Step-by-step explanation:
What is the slope of the line that passing through (-2,4) and the origin
Answer:
-2
Step-by-step explanation:
The slope of a line can be found by seeing how much it rises over a certain amount of run. Since over the course of -2 units moved to the right the line rises 4 units, the slope of the line is 4/-2=-2. Hope this helps!
Which interval for the graft function has a local minimum of zero?
Answer:
[2,4]
Step-by-step explanation:
On a map, 1 cm represents 3 km. The real-life distance between two towns is 27 km. What is the distance between these two towns on a map?
Answer:
9 cm
Step-by-step explanation:
Every centemeter represents three. 3km=1cm.
The number of kilometers/3= the number of centemeters.
the number of centemeters x 3= the number of kilometers.
We now have three equations to help us covert back and forth.
The question asks us to convert 27km in real life, to centemeters on a map. We use the first forumla to help us:)
The number of kilometers/3= the number of centemeters.
27/3=the number of centemeters.
Thus, the answer is nine.
Answer:
9cm
Step-by-step explanation:
1:3 this is the starting ratio
if we replace 3 for 27 we just divide them to get 9 so the new ratio is 9:27.
Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25%, percent less than she had hiked in the morning. How many kilometers did Haruka hike in all?
Answer:
14 km
Step-by-step explanation:
6 km in the afternoon
x km in the morning
6= x- 25%
6= 0.75x
x= 6/0.75
x= 8 km
total 6+8= 14 km
Which group of numbers is ordered from least to greatest?
A. 45,−0.9,−3
B. −3,−0.9,45
C. −0.9,45,−3
D. 45,−3,−0.9
Answer:
The answer is option B.
-3 , - 0.9 , 45
Hope this helps you
Explanation:
The negative numbers are always smaller than the positive ones. So we list those first. The number -3 is smaller than -0.9 since it is further to left on the number line. So far we have -3 followed by -0.9. The last value must be 45 as its the only thing left. The sequence from smallest to largest is therefore -3, -0.9, 45. A number line is recommended to see the values being placed from left to right.
Try to answer the following question without running the code in Python:
If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)
what gets printed?
Answer:
35
Step-by-step explanation:
Given
the above lines of code
Required
What's the output
We'll analyze the code line by line
a = 2 + 6
At this point a = 8
b = 7 % 3
At this point b = 1. This is so because, the remainder of 7%3 is 1
c = a - b
At this point c = 7;
This is calculated by c = 8 - 1 = 7
c = c * 5
At this point; c = 35
This is calculated by: c = 7 * 5 = 35
print(c)
The value of c, which is 35 is printed
passes through ( 4,10 ) and has vertex (0,0) PLSSS HELP !!!
Answer:
x^2-4x
Hope this helps
Also, thanks for 13 points
please help me out with these
Answer:
first complete the table by filling blank space on y axis
Then choosing a suitable scale, two squared box on the graph paper represent 1 unit for both axis.
Then draw a graph using x and y coordinate
(b) minimum value of y you dote a line from the turning point of the curve towards y axis then read the value
For this case it is -3.2
(c).To get the value of y when X=-3.5,
you dote alone from X =-3.5 on the X axis towards the curve vertically until you meet the curve then from the meeting point dote a line towards y axis and read the value.
which gives y=0.8
(d). draw a horizontal line at y=3 to meet the curve on both sides then dote a line from the meeting point vertically towards X axis and read the value on the X axis.
For this case X=-4 or X=1expand and simlify (x+3) (x+5)
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Gill has five boxes that contain only red and yellow counters.
She takes a counter from a box without looking.
If the probability that she takes a red counter is 0.7, which box did she take it from? (1 mark)
Answer:
Box e
Step-by-step explanation:
14/20=0.7
Um avião partiu de um aeroporto situado a 800 metros acima do nível do mar, com o tempo bem e a temperatura de 32° C. Ao atingir a altitude máxima, de 3 100 metros acima do nível do mar, o piloto observou que a temperatura externa era de – 41° C. Da decolagem até o momento em que foi atingida a altitude máxima, a variação da temperatura externa foi de:
Resposta: 73 ° C
Explicação passo a passo:
Dado o seguinte:
Temperatura (T1) na decolagem localizada a 800 metros acima do nível do mar = 32 ° C
Temperatura (T2) à altitude máxima de 3200 metros acima do nível do mar = - 41 ° C
Portanto ;
A variação da temperatura externa entre o ponto de decolagem e a altitude máxima pode ser calculada por:
Diferença entre a temperatura de decolagem e a temperatura na altura máxima.
Variação externa da temperatura = (T1 - T2)
32 ° C - (-41 ° C)
= 32°C + 41°C
= 73°C
Convert 5.08 to a percent. A. 0.0508% B. 0.508% C. 50.8% D. 508%
Answer:
508%
Step-by-step explanation:
To change to a percent multiply by 100
5.08 * 100
508%
Answer:
D. 508%
Step-by-step explanation:
Multiply the decimal value by 100 to find the percentage.
5.08 × 100
= 508
The percentage is 508%.
Q4. A bag contains Red, Green and Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.35 and the probability that it is Green is 0.4
Find the probability that ball selected is:
(i) Yellow
(ii) Not Red
please answet
Answer:
0.25
0.65
Step-by-step explanation:
P(red)= 0.35
P(green)= 0.4
P (yellow)= 1- (0.35+0.4)= 0.25P(not red)= 1- P(red)= 1- 0.35= 0.65Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, .... PLEASE HELP ASAP
Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r = [tex]\frac{135}{45}=3[/tex]
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,
[tex]a_n=a(r)^{n-1}[/tex]
[tex]a_n=45(3)^{n-1}[/tex]
Recursive formula of this sequence will be,
[tex]a_n=3(a_{n-1})[/tex], [tex]a_1=45[/tex]
Therefore, Option (B) will be the answer.
Expand and then and then collect the following expression 3(a+2)+6(a+3)
Answer:
9a + 27
Step-by-step explanation:
=> 3(a+3) + 6(a+3)
Expand the brackets
=> 3a+9 + 6a+18
Combining like terms
=> 3a+6a+9+18
=> 9a + 27
Answer:
9a+24
Step-by-step explanation:
3a+6+6a+18
Simplify:
9a+24
Please answer this question now fast in two minutes
Answer:
2 or 3
Step-by-step explanation:
2 is one of them
3 is another of them
The method you used to help Kevin in parts F and G is called cross multiplication. It’s called cross multiplication because it involves multiplying the denominator of each fraction with the numerator on the opposite side of the equal sign. Now solve the equation 24(9) = 2x.
Answer:
x = 108
Step-by-step explanation:
Start by finding what 2x equals
24 x 9 = 216
multiply 24 by 9 and you get 216
216 = 2x
now isolate for x by dividing both sides by 2, leaving x by itself on one side of the equation
216 / 2 = x
x = 108
Answer:
108=x
step-by-step explanation:
24(9)=2x
216=2x
216/2=2x/2
Brainiest is be given upon the correct answer!!
Answer: 267.9
Step-by-step explanation:
New diameter = 8 inches
Radius = 4 inches
Volume of a sphere = 4/3 π x r^3
= 4/3 * 3.14 * 4^3
= 267.9 cu. in.
Find the distance along an arc on the surface of the earth that subtends a central angle of 6 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles.
Answer:
The distance is 6.9115 miles.
Step-by-step explanation:
To solve this problem we can use a rule of three.
The length of a circumference is 2*pi*r, and if we have a fraction of the whole arc, we have that:
360 degrees -> arc of 2*pi*r
6 * (1/60) degrees -> arc of x
So we have that:
[tex]x * 360 = (1/10) * 2*\pi*r[/tex]
[tex]x = (1/10) * 2 * \pi * 3960 / 360[/tex]
[tex]x = (1/5) * \pi * 11[/tex]
[tex]x = (11/5)*\pi = 6.9115\ miles[/tex]
The distance is 6.9115 miles.
On August 1, Ira’s bank balance was $300. During the month, he wrote three checks for $115.25 and made it be deposit of $165. Which of the following best represents his checking account balance at the end of the month?
A. 119.25
B. -119.25
C. -$45.75
D.349.75
Complete the table. (Round your answers to four decimal places.)
[1/(x + 1)]- (1/9)
lim
X-8
7.9
7.99
7.999
D
8.001
8.01
8.1
2
Use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.)
[1/(x+1)] - (1/9)
X-8
Answer:
See below.
Step-by-step explanation:
We have:
[tex]\displaystyle \lim_{x\to \-8}\left(\frac{1}{1+x}- \frac{1}{9}\right)[/tex]
Simply plug in each value:
When x = 7.9, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx 0.0012[/tex]
When x = 7.99, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx0.0001[/tex]
When x = 7.999, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx0.0000[/tex]
When x = 8.001, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0000[/tex]
When x = 8.01, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0001[/tex]
And when x = 8.1, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0012[/tex]
From this pattern, we can conclude that:
[tex]\displaystyle \lim_{x\to \-8}\left(\frac{1}{1+x}- \frac{1}{9}\right) = 0[/tex]
Since as the limit approaches 8, the value gets smaller and smaller and approaches zero.
Graphing this, we can confirm our answer.
Can someone help me please
Answer:
C .[tex]x+y =9\\y = x+2[/tex]Step-by-step explanation:
y=-4x-5 y=3x-2 is (3,7) a solution of the system?
Answer:
No
Step-by-step explanation:
Does (3, 7) satisfy the first equation, y = -4x - 5? Is 7 = -4(3) - 5 true? NO. Thus, (3, 7) cannot be a solution of the system
y=-4x-5
y=3x-2
The given point (3, 7) is not the solution in the given case.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given equations are as follows,
y = -4x - 5 (1)
y = 3x - 2 (2)
In order to find whether (3,7) is the solution for them, substitute x = 3 and y = 7 in both the equations and check the LHS and RHS of both.
For equation (1),
y = -4x - 5
LHS is y = 7
RHS = -4x - 5
= -4 × 3 - 5
= -17
Since, LHS ≠ RHS, the given values of x and y are not the solution for the given equation.
Now, equation(2) need not to be checked as the result for the given values is already not valid for equation(1).
Hence, the given coordinate (3,7) is not the solution for the given equations.
To know more about linear equation click on,
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Please answer this in two minutes fast
Answer:
(16,4)
Step-by-step explanation:
To go from M to S
(-4, 2.5)
Reverse
(16,4)
Answer:
work is shown and pictured
TRUE OR FALSE:
An isosceles trapezoid is a trapezoid with congruent legs.
Answer:
True
Step-by-step explanation:
If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.
Answer:
the correct answer is true
Step-by-step explanation:
An isosceles trapezoid is a trapezoid with congruent legs.=true
hope this helps you!!!!!!!!!!
Plzzzzzzzzzzzzzz! A personal identification number (PIN) is a 4 digit code. A local bank only allows the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 to be used. What is the probability that a randomly chosen PIN starts with 7 followed by 2 and doesn't contain the same number twice? Enter your answer as a fraction in simplest form.
Answer:
14/2187
Step-by-step explanation:
Let us first see how many possible outcomes there are. We can to that by multiplying 9^4. This gives us 6561.
Now, we can see what are the possible outcomes that meet the requirements. We can get this by multiplying 1 • 1 • 7 • 6, which is 42.
Our fraction is 42/6561, which is 14/2187.
Hope this helped!
2x2 − 10x − 28 6x × 6 x − 7
Answer:
no real solutions
Step-by-step explanation:
If equation is...
[tex]2x^2 - 10x - 28 = 6x(6x) - 7\\2x^2 - 10x - 28 = 6x^2 - 7\\0 = 4x^2 + 10x + 21\\4x^2 + 10x + 21 = 0[/tex]
= no real solutions