Answer:
235 metersStep-by-step explanation:
This problem is on the mensuration of flat shapes, a circular shape.
the problem also requires that we find the perimeter of the circular track
the expression for the perimeter of a circle is given as
[tex]C= 2\pi r[/tex]
Given
diameter of the circular track = 75 meters
radius of circular track = d/2 = 75/2= 37.5 meters
Substituting our data into the expression for perimeter we have
[tex]C= 2*3.142 *37.5\\\\C= 235.65[/tex]
Approximately the length is 235 meters.
What is the approximate area of the triangle?
A)12.5
B)18
C)21.5
D)31
Answer:
21.5
Step-by-step explanation:
Counting the full squares: 16
Counting the squares that are more than 1/2: 6
The best estimate would be 21.5
Which of the following is equal to the opposite of −45? −(−45) −45 −|−45| −|45|
Answer:
-(-45) and -|45|
Step-by-step explanation:
Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.
Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.
According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.
To do this, we are to select the values in the options that will return +45.
Let's look at each option.
For -(-45):
Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45
For -45:
-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.
For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.
For -|45|:
The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.
Answer:
-(-45) and -|45|
Step-by-step explanation:
As a court reporter, your job is to take notes of everything that happens in court. After the first court session, you've recorded 47 lines of text. After the second session, you've recorded 33 lines of text. How many total lines of text did you record for the day?
Answer:
80 linesStep-by-step explanation:
In this problem we are expected to sum up the number of lines recorded during all court sessions for the day.
Also we know that the court report, reported for two (2) court session for that day.
Hence all the number of line is going to be from the 2 court sessions she reported
in the first court session we wrote 47 lines
in the second court session we reported 33 line
the total lines in all is 47+33= 80 lines
The total line recorded for the day is 80 lines
Which term is the question
Answer:
trinomial
Step-by-step explanation:
Given polynomial has three terms, therefore it is a trinomial.
O comprimento de um retângulo é 6x e sua largura é 5y. A) Escreva uma expressão algébrica que representa o perímetro desse retângulo. B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.
Answer:
A) 12x + 10y
B) 118cm
Step-by-step explanation:
A) A fórmula para calcular o perímetro de um retângulo é dada como:
Perímetro de um retângulo = 2 (L + W)
= 2L + 2W
Onde
L = comprimento do retângulo
W = largura do retângulo
A) A pergunta nos diz que:
O comprimento de um retângulo é 6x e sua largura é 5y.
A expressão algébrica que representa o perímetro do retângulo =
Perímetro de um retângulo = 2 (L + W)
= 2L + 2W
L = 6x, W = 5y
= 2 (6x) + 2 (5y)
= 12x + 10y
A expressão algébrica que representa o perímetro do retângulo é
P = 12x + 10y
B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.
P = 12x + 10y
x = 4cm
y = 7cm
Perímetro = 12 (4) + 10 (7)
Perímetro = 48cm + 70cm
Perímetro do retângulo = 118cm
Portanto, o valor numérico do perímetro é 118cm
15. True or False? In a recession or a depression, inflation will likely decrease.
A. True
B. False
Answer:
a
Step-by-step explanation:
in a depression inflation is most likely to decrease
Answer:
The correct answer is A. True
Step-by-step explanation:
After a snowstorm in the town of Golden Glen, the morning temperature was – 10°F. But by the afternoon, the temperature had risen by 17°F. What was the afternoon temperature?
Answer:
7°F
Step-by-step explanation:
We have the following information from the question;
Morning temperature = -10°F
Increase in temperate = 17°F
Afternoon temperature = the unknown
Since;
Increase in temperature = Afternoon temperature - morning temperature
Then;
Afternoon temperature = increase in temperature + morning temperature
Afternoon temperature = 17°F + (-10°F)
Afternoon temperature= 7°F
Answer:
7
Step-by-step explanation:
Your welcome!
Molly can bake 3 cakes in 2 hours. How many cakes can she bake per hour?
Answer: 1.5 cakes per hour
(20pts) Prove that the product of any two odd numbers is always odd. Make sure to explain your proof
Answer:
See below (I hope this helps!)
Step-by-step explanation:
Because odd numbers are always 1 greater than even numbers, we can call the two odd numbers x + 1 and y + 1 where x and y are even integers. Multiplying the two gives us:
(x + 1) * (y + 1)
= x * y + x * 1 + 1 * y + 1 * 1
= xy + x + y + 1
We know that x * y will be even because x and y are also even and the sum of two even numbers will be even, and we also know that x and y are even and that 1 is odd. Since the sum of even and odd numbers is always odd, the product of any two numbers is always odd.
*NOTE: I put a limitation on x and y in my proof (the limitation was that x and y must be EVEN integers) but you don't have to do that, you could make the odd integers 2x + 1 and 2y + 1 where x and y could be any integer from the set Z like mirai123 did. I simply gave this proof because it was the first thing that came to mind. While mirai123's proof and mine are different, they are still both correct.
Answer:
Prove that the product of any two odd numbers is always odd.
Examples:
[tex]3 \cdot 7 = 21 \text{ } \boxed{\text{odd}}\\5 \cdot 9 = 45 \text{ } \boxed{\text{odd}}\\83 \cdot 3 = 249 \text{ } \boxed{\text{odd}}[/tex]
Defining an odd number as:
[tex]u= 2k+1, k \in \mathbb{Z}[/tex]
[tex]u \cdot u = (2k+1)(2k+1)= 4k^2+4k+1[/tex]
[tex]\text{Is } \boxed{4k^2+4k+1} \text{ odd?}[/tex]
Yes, it is, because [tex]4k^2 \text{ and } 4k \text{ will always be even considering } k \in \mathbb{Z}[/tex]
An even number plus one is an odd number.
What is the value of the expression below when x = 3?
10x2 – 7x + 10
Answer:
79
Step-by-step explanation:
To find the value of [tex] 10x^2 – 7x + 10 [/tex], when x = 3, simply plug in the value of x in the expression and solve as follows:
[tex] 10(3)^2 – 7(3) + 10 [/tex]
[tex] 10(9) – 21 + 10 [/tex]
[tex] 90 – 21 + 10 [/tex]
[tex] 79 [/tex]
The value of [tex] 10x^2 – 7x + 10 [/tex], when x = 3, is 79
Answer:it's 79 or 49
q
Step-by-step explanation:
7 2/9 - 5 5/7 turn into a mixed number please :))
Answer:
12 1/9 is your answer.
Step-by-step explanation:
Since 7+5 is 12 you got your first part. Now you have to find a thing that matches which is 1/9
-8=v/3-3
solve for V
Answer:
-15 = v
Step-by-step explanation:
-8=v/3-3
Add 3 to each side
-8+3=v/3-3+3
-5 = v/3
Multiply each side by 3
-15 = v
Answer: v=-15
Step-by-step explanation:
Given
-8=v/3-3
Add 3 on both sides (addition property of equality)
-5=v/3
Multiply 3 on both sides (multiplication property of equality)
v=-15
Hope this helps!! :)
Please let me know if you have any question
factorise 6b²+3b+8b+5
Answer:
(6b + 5)(b + 1).
Step-by-step explanation:
6b² + 3b + 8b + 5
= 6b^2 + 11b + 5
= 6b^2 + 6b + 5b + 5
= 6b(b + 1) + 5(b + 1) b + 1 is common so:
= (6b + 5)(b + 1)
Answer:
( 6b + 5 ) ( b + 1 )
Step-by-step explanation:
6b² + 3b + 8b + 5
6b²+ 11b + 5
6b²+ 5b + 6b + 5
( 6b + 5 ) ( b + 1 )
Which equation has exactly one solution?
A. x+7= x-2
B. 2(x-6)=2x-12
C. 3(x+2) = 2x-5
D. 7x+13= 13+7x
Answer:
a and c
Step-by-step explanation:
a. 9=x
b.2x-12=2x-12 ims
c.3x+6=2x-5
3x+11=2x
11=-1x
-11=x
d. ims
help
for the “R=“
the choices are
-3
0
3
for the “S=“
the choices are
5
3
-3
Answers:
R = -3S = -3T = -9For each row, you're adding the values of 'a' and 'b'. The first row has 1+2 = 3.
When adding two negatives, add the positive versions of each number, then make the result negative. So -1 + (-2) can be thought of as 1+2 = 3, then you make everything negative.
When adding a negative to a positive, you'll subtract the positive version of each number. The final result is positive if the larger absolute value is positive, or otherwise it's negative. We have -4+1 that can be thought of as 4-1 = 3, but since the '4' is larger and it is negative, this means -4+1 = -3.
3. (2, 4), (-2, 2), (2, ο)
Is this set of numbers a function or not a function?
Answer:
not a function
Step-by-step explanation:
This is not a function
The input 2 goes to two different outputs
2 goes to the output of 4 and the output of 0
This makes it a relation and not a function
give two other names for cd
Answer:
Laser Disk, Digital Recording
Step-by-step explanation:
If the length of the given rectangle is increased by 7 and the width is decreased by 3, what is the rectangle's perimeter
Answer:
For a given length l and width w, the new perimeter is....
2(l + w) + 8
Step-by-step explanation:
Currently, the rectangle's perimeter is 2(l + w). You knew that.
Now, the question asked you to change l into l + 7, and w into w - 3. Substitute them, so we get
Perimeter New = 2(l + 7 w - 3) = 2 (l + w + 4)
Then, I chose to "pull out" + 4, so I multiply it with the 2. Hence, we get
Perimeter New = 2 (l + w) + 8
Which pair of undefined terms is used to define the term parallel lines?
point and line
plane and line
point and ray
ray and line
Answer-
B) Plane and line
The pair which is undefined terms are used to define the term parallel lines is B. plane and line
What is meant by parallel line?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
What are the properties of parallel lines?Properties of Parallel Lines
Corresponding angles are equal. Vertical angles/ Vertically opposite angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal.
What is an example of a parallel?My dog not only likes to play fetch but also chase cars. Parallel: My dog not only likes to play fetch, but he also likes to chase cars. My dog likes not only to play fetch but also to chase cars. When you connect two clauses or phrases with a word of comparison, such as than or as, use parallel structure.
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distance between (5, -3) and (9, 2).
Step-by-step explanation:
Using distance formula:
√(5 - 9)² + (-3 - 2)²
√(-4)² + (-5)²
√16+25
√41
If NL = 13, find NM. X+15 2x+34
Answer:
3
Step-by-step explanation:
The question is incomplete. Here is the correct question.
If NL = 13, find NM. NM = X+15 ML = 2x+34
Using vector notation, NL = NM+ML
Substituting the given parameters into the equation;
13 = x+15+(2x+34)
13 = x+15+2x+34
Collect like terms.
x+2x+15+34 = 13
3x+49 = 13
3x = 13-49
3x = -36
x = -12
Given NM = x+15 and x = -12
NM = -12+15
NM = 3
Tara earns $8.50 an hour (after taxes) at the pizza place. She is scheduled to work four hours this afternoon. However, her friend Kayla called and asked her if she wants to go to the movie. A ticket to the movie costs $9.50. In addition, she always spends about $7 on snacks.
Answer:
2. Kayla's opportunity cost to go to the movie is $9.50
4. Tara's total cost of attending the movie is $50.5
Step-by-step explanation:
Complete question below:
Tara earns $8.50 an hour (after taxes) at the pizza place. She is scheduled to work four hours this afternoon. However, her friend Kayla called and asked her if she wants to go to the movie. A ticket to the movie costs $9.50. In addition, she always spends about $7 on snacks.
Which of the following statement are true? Select all that apply.
1. Tara's opportunity cost if she goes to work instead of the movie is $34.
2. Kayla's opportunity cost to go to the movie is $9.50.
3. There is no opportunity cost for Tara to go to the movie.
4. Tara's total cost of attending the movie is $50.5
5. Tara's opportunity cost if she goes to the movie instead of working is $34
Solution
Tara earns $8.50 per hour
She is scheduled to work for 4 hours
Total earnings=$8.50 × 4
=$34
Tara's opportunity cost of attending the movie instead of working is $34
Since, a ticket cost $9.50
And she always spend about $7 on snacks
Tara's total cost of going to the movies = opportunity cost of attending the movie + cost of tickets + cost of snacks
=$34 + $9.50 + $7
=$50.5
Opportunity cost refers to the cost of satisfying a want at the expense of another want. It can also be called REAL COST or TRUE COST.
Therefore,
2. Kayla's opportunity cost to go to the movie is $9.50
4. Tara's total cost of attending the movie is $50.5
2 and 4 are the answers
if a parallellogram has a 30° angle, can it also have a 150° angle? why?
Answer:
Yes.
Step-by-step explanation:
Whenever a parallelogram Has a 30 degree angle it always has a 150 degree angle, because the sum of quadrilaterals (a parallelogram is a quadrilateral in which each pair of opposite sides is parallel) is 360 and each angle is equal to the opposing one so if you were to have 150^2 that would equal 300 and 30^2 would equal 60, so therefore it’s equals 360.
I hope this was explained thoroughly enough.
due soon!!
Find the measure of GE¯¯¯¯¯¯¯¯. A. 14 B. 20 C. 15 D. 16
Answer:
D. 16
Step-by-step explanation:
[tex] GH^2 = GF \times GE[/tex]
[tex] 12^2 = 9 \times (9+x - 2)[/tex]
[tex] 144= 9 \times (7+x)[/tex]
[tex] \frac{144}{9}= (7+x)[/tex]
[tex] 16= 7+x [/tex]
[tex] 16-7=x [/tex]
[tex] 9=x [/tex]
GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2
GE = 16
Answer:
D.16
Step-by-step explanation:
GE × GF = GH^2
9 × (9 + x - 2 ) = 12^2
63 + 9x = 144
9x = 81
x = 9
so, GE = 9 + x - 2
= 7 + 9
= 16
can 4.7 be turned into a fraction
Answer:
Yes! It can
[tex]Fraction=4\frac{7}{10}[/tex]
Decimals can convert into fractions!
4 is the whole number
.70 is
70 out hundredths
7/10 or 7/100
So the fraction would be
[tex]4\frac{7}{10}[/tex]
Hope this helps!
[tex]Fishylikeswater[/tex]
Answer: 4 and 7/10
Step-by-step explanation: Using the place value chart below,
we can see that 4.7 means four and seven tenths.
This can be written as the mixed number 4 and 7/10.
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.
Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
Answer:
Step-by-step explanation:
The length is x2 while the width is x1.5
Therefore it cannot be a scaled copy
Answer: It is not scale copy (given)
Step-by-step explanation:
Rectangle B: 15 by 10
Rectangle C: 30 by 15
-------------------------------------
First way: Compare the ratio among themselves
Rectangle B: 15:10=3:2
Rectangle C: 30:15=2:1
Apparently, the two side ratios are not the same, thus it is not scale copy
--------------------------------------
Second way: Compare the ratio between the two.
Length: Rectangle B:Rectangle C=15:30=1:2
Width: Rectangle B:Rectangle C=10:15=2:3
1:2≠2:3
Thus, Rectangle C is not a scaled copy of Rectangle B
This rule applies: rational + __________ = irrational.
Answer:
Rational+irrational =irrational is your answer.
Step-by-step explanation:
Hope it will help you :)
Amy ran 8 miles. She recorded how long it took her to run each mile, rounded to the nearest 1/4 of a minute. How long did it take Amy to run her slowest and fastest mile combined?
Answer:
18 1/4
Step-by-step explanation:
To find how long it took Amy to run her fastest and slowest mile combined, we add the two values.
9\dfrac{2}{4}\text{ min} + 8\dfrac{3}{4}\text{ min}9
4
2
min+8
4
3
min9, start fraction, 2, divided by, 4, end fraction, start text, space, m, i, n, end text, plus, 8, start fraction, 3, divided by, 4, end fraction, start text, space, m, i, n, end text
Hint #44 / 5
\begin{aligned} 9\dfrac24+8\dfrac34&=(8+9)+\left(\dfrac{2}{4}+\dfrac{3}{4} \right)\\\\ &= 17+\dfrac{5}{4}\\\\ &=17+1\dfrac{1}{4}\\\\ &=18\dfrac{1}{4} \end{aligned}
9
4
2
+8
4
3
=(8+9)+(
4
2
+
4
3
)
=17+
4
5
=17+1
4
1
=18
4
1
Hint #55 / 5
It took Amy 18\dfrac1418
4
1
18, start fraction, 1, divided by, 4, end fraction minutes to run her fastest and slowest mile combined.
Disclaimer: The given question was incomplete, with the data missing. The complete question can be seen in the picture attached.
Analyzing and interpreting the given data, we can say that Amy took 18 1/4 minutes in total to run her slowest and fastest mile combined.
What are data analysis and interpretation?The process of attributing meaning to the acquired data and deciding the conclusions, relevance, and consequences of the results is known as data analysis and interpretation.
How do we solve the given question?We are given a data set, representing the time taken by Amy to run each mile while running 8 miles, nearest to 1/4th of a minute.
We are asked to find how long did it take Amy to run her slowest and fastest mile combined.
Analyzing the data, we can say that her slowest mile will be the one for which she took the maximum time, that is, 9 2/4 minutes. Whereas her fastest mile will be the one with the minimum time, that is, 8 3/4 minutes.
We are asked to tell the combined time for her slowest and the fastest mile, so we add times for both, to get
Combined time = 9 2/4 + 8 3/4
or, Combined time = 38/4 + 35/4
or, Combined time = 73/4
or, Combined time = 18 1/4.
∴ Analyzing and interpreting the given data, we can say that Amy took 18 1/4 minutes in total to run her slowest and fastest mile combined.
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is the square root of 180 between 13 and 14
Answer:
The square root of 180 is:
13.416407865
So yes the square root of 180 IS between 13 and 14
Please please please please please help me
Answer:
[tex] {x}^{2} + 0x + 1[/tex]
Step-by-step explanation:
[tex]for \: g (fx) \:the \: function \: of \: f \: is \: inserted \: into \: the \: x \: for \: the \: g[/tex]
So the eqn becomes
[tex] ({x}^{2} - 1) + 2[/tex]
AND this equal to
[tex] {x}^{2} + 1[/tex]
Hence the variable x has 0 as its coefficient.