Answer:
10 meters
Step-by-step explanation:
From your question, it seems we are dealing with a triangle and we are given the two legs of the triangle.
The given dimensions are:
7 meters and 7 meters.
Required:
Here, we are required to find the third side of the triangle which is the hypotenus.
Using Pythagoras theorem:
a² + b² = c²
Where a = 7 & b = 7
Thus, we have:
7² + 7² = c²
c² = 49 + 49
c² = 98
Take the root of both sides
√c² = √98
c = √98
c = 9.899
c ≈ 10 meters
Therefore the length of the unknown side is approximately 10 meters
Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)? 2x – 8(x + 2y) + (y – 7x) 2x – 3 – 5(3y – 6x) 2x – 3x – 6y – 5y + 35x 2x + 3x + 6y + 5y – 35x
Answer:
2x - 3x -6y - 5y +35x
Step-by-step explanation:
-3 multiplied by x is -3x
-3 multiplied by +2y is -6y
-5 multiplied by y is -5y
-5 multiplied by -7x is +35x
2x remains the same.
Answer:
c. 2x – 3x – 6y – 5y + 35x
Step-by-step explanation:
edge 2021
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I need help with solving this problem 4x-c=k
Answer:
x=1/4c+1/4k
Step-by-step explanation:
4x-c=k
move c over
4x=c+k
then divide by 4
x=1/4c+1/4k
hope this helps
g(x)=x2+4 make a table of values
Answer:
Step-by-step explanation:
You can make a table of values by plugging in values to x^2+4.
If x=1 the answer is 5
If x=2 the answer is 8
If x=3 the answer is 13
If x=4 the answer is 20
If x=5 the answer is 25.
And we have a table of values!
Determine how many litres of water will fit inside the following container. Round answer and all calculations to the nearest whole number.
Answer:
[tex]\approx[/tex] 11 litres of water will fit inside the container.
Step-by-step explanation:
As per the given figure, we have a container formed with combination of a right angled cone placed at the top of a right cylinder.
Given:
Height of cylinder, [tex]h_1[/tex] = 15 cm
Diameter of cylinder/ cone, D = 26 cm
Slant height of cone, l = 20 cm
Here, we need to find the volume of container.[tex]\\Volume_{Container} = Volume_{Cylinder}+Volume_{Cone}\\\Rightarrow Volume_{Container} = \pi r_1^2 h_1+\dfrac{1}{3}\pi r_2^2 h_2[/tex]
Here,
[tex]r_1=r_2 = \dfrac{Diameter}{2} = \dfrac{26}{2} =13\ cm[/tex]
To find the Height of Cylinder, we can use the following formula:
[tex]l^2 = r_2^2+h_2^2\\\Rightarrow h_2^2 = 20^2-13^2\\\Rightarrow h_2^2 = 400-169\\\Rightarrow h_2^2 = 231\\\Rightarrow h_2=15.2\ cm \approx 15\ cm[/tex]
Now, putting the values to find the volume of container:
[tex]Volume_{Container} = \pi \times 13^2 \times 15+\dfrac{1}{3}\pi \times 13^2 \times 15\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 15+\pi \times 13^2 \times 5\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 20\\\Rightarrow Volume_{Container} = 10613.2 \approx 10613\ cm^3[/tex]
Converting [tex]cm^{3 }[/tex] to litres:
[tex]10613 cm^3 = 10.613\ litres \approx 11\ litres[/tex]
[tex]\approx[/tex] 11 litres of water will fit inside the container.
What will be the sign of the product if we multiply together 199 negative and 10 positive integers?
Please Help!! Only Anwser If You Know It!!!
Answer:
It will be compressed vertically
Step-by-step explanation:
y = Cf(x) 0 < C < 1 compresses it in the y-direction
Since we are multiplying by 1/4 it will compress it by 1/4 in the y direction
Answer:
When you multiply the whole function by a constant, which can be identified as "C", you can have the following situations:
- If the function is stretched.
- - If the function is compressed.
You have that 0<1/4<1
Therefore, you can conclude that be compressed vertically.
Step-by-step explanation:
The given function is f (x) = x²
The new function is f 1 (x) = 1/4 x².
The general function of the form is f(x) = a · x²
i) If |a| < 1 the graph is compressed vertically by a factor of a.
ii) If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/4 < 1
What is the smallest value of x that satisfies the equation 8x^2 - 38x + 35 = 0? Express your answer as a decimal.
Answer:
1.25
Step-by-step explanation:
8x² -38x + 35 = 0
8x² - 10x - 28x + 35 = 0
2x(4x - 5)-7(4x - 5) = 0
(4x−5)(2x−7) = 0
4x - 5 = 0 or 2x - 7 = 0
x = 5/4 or x = 7/2
x = 1.25 or 3.5
Smallest value being = 1.25
What are the three prime numbers between 40 and 50
Answer:
41, 43, and 47
Step-by-step explanation:
The numbers between 40 and 50 are:
41, 42, 43, 44, 45, 46, 47, 48, and 49
Prime numbers are numbers that have only 2 factors, 1 and themselves.
So from the numbers above we are now able to find the prime numbers.
1 * 41 = 41
1 * 43 = 43
1* 47 = 47
41, 43, and 47 have only 2 factors, 1 and themselves.
Hope this helps!!
Answer with steps!... Thanks
Answer:
A) False
B) True
Step-by-step explanation:
For A) First let's do x/11 = 15. If you solved it by now, you will know that the answer is 0.7333333. So now you just do 11x15. Because the answer is different then the answer we got when doing the division, the answer for A is false
For B) B is definitely true because equation are any mathematical sentences that have an equation symbol. So it's like saying 8x3=24 and 6x4=24. These two equations end up with the same answer so B is true.
I hope this helped you find out the rest :)
which of the following is not a correct way to represent the ratio 5 to 2 a)2/5 c)5:2 b)5/2 d) 10:4
Answer:
A
Step-by-step explanation:
Answer:
a)2/5
Step-by-step explanation:
5:2 is correct
5/2 is nothing but 5:2
10:4 is also correct because when we simplify it we get5:2
How many prime positive integers are divisors of 555?
Answer:
1,3,5,15,37,111,185,555
Step-by-step explanation:
8 total
Answer:Answer: Did you get helped on this one?
Step-by-step explanation:okay yup yup have a good ONE
which equation represents the slope-intercept form of the line below?
Answer:
c y= 1/2x-8
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The slope is either 1/2 or 8. Because the line is not incredibly steep, it must be 1/2.
The y-intercept is where the line crosses the y axis. In this case, it's 8.
Therefore the equation must be y=1/2x+8.
The answer is B.
What is 50 + 30(0) - 30?
Answer:
20
Step-by-step explanation:
30(0)
= 0
50 + 0 - 30
= 50 - 30
= 20
Answer:
20
Step-by-step explanation:
We know that 30 × 0 = 0. Next, we can take 50 and add 0 which is still 50. Now, we take 50 - 30 which equals to 20.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer: A
Step-by-step explanation:
The slope which is also known as gradient can be Mathematically defined as change in dependent variable divide by the change in independent variable.
Slope can rate of increase when it is positive. And rate of decrease when it is negative.
Since the slope of the line through the points is 2. Which is positive, the correct option that describes how the slope relates to the height of the water in the pool is therefore;
The height of the water increases 2 inches per minute. Which is option A
What is the reason for statement 3 in this proof?
Answer:
d
Step-by-step explanation:
Answer: E definition of midpoint
Step-by-step explanation:
Correct on Plato
The tire of a car has a radius of 10.5 inches. How far will the car travel for 200 revolutions? Use
22/7 as an approximation for it.
Answer:
The car will travel approximately 13200 inches
Step-by-step explanation:
Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: [tex]2\,\pi\,R[/tex]
Then, in 200 revolutions the car will travel 200 times that amount:
[tex]200\,(2\,\pi\,R)=400\ \pi\,R[/tex]
So for the given dimension of the tire, and using the approximation [tex](\pi\approx22/7)[/tex], this distance would be:
[tex]400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in[/tex]
In a certain apartment building, apartments can come with 2, 3, or 4 bedrooms; they can have 1 or 2 bathrooms; and they can be located on the lower, middle, or upper level. How many different types of apartments are possible if any number of bedrooms, bathrooms, and locations can be combined?
Answer:
18 types of apartments
Step-by-step explanation:
There are three options for bedrooms (2, 3, or 4), two options for bathrooms (1 or 2), and three options for location (lower, middle, or upper level).
The number of possible different apartments is:
[tex]n=3*2*3\\n=18\ types[/tex]
18 types of apartments are possible.
determine the area and the circumference of the flat shape
Answer:
Hey there!
Circumference: [tex]2\pi r+95+95[/tex]
Area: [tex]\pi r^2+70(95)[/tex]
r=35
Circumference: 410
Area: 10498.
Hope this helps :)
Answer:
Area= 10498.5 cm²
Step-by-step explanation:
Area of rectangle= l x w
= 95 x 70 = 6650
Area of circle = πr²
= π x 35²
= 1225π
=3838.5 cm²
Area of shape: 6650 + 3848.5 = 10498.5 cm²
Finn removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 12x2 −13x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
Answer:
Step-by-step explanation:
The expression used to model the volume, in gallons, is 12x^2-13x+3
When the through is empty it means that there is no water in it wich means that the expression used equals 0
● 12x^2-13x+3 = 0
The expression is quadratic equation so to solve it we will use the discriminant method
The discriminant is b^2-4ac
● b= -13
● a= 12
● c= 3
b^2-4ac = (-13)^2+4×12×3 = 25
25 > 0 so the discriminant is positive
We have two solutions
Let x and x' be the solutions
x = (-b-5)/2×a =(13-5)/24 = 8/24 = 1/3
5 is the root square of 25 (the discriminant)
x' = (-b+5)/2a = (13+5)/25 = 18/24 = 3/4
The solutions are 1/3 and 3/4
1/3 = 0.34
3÷4 = 0.75
The through can't be empty from water in two different times
So it will be empty when reaching one of the 2 solutions first
0.34 < 0.75
Then at 0.34 min the through is epty from water
Answer:
[tex]0 = 12x^2 - 13x + 3[/tex]
Step-by-step explanation:
The volume of the trough is modeled by the equation:
[tex]V = 12x^2 - 13x + 3[/tex]
The trough will be empty when the volume of water in it is 0. That is, the expression that would reveal when the trough is empty is:
[tex]0 = 12x^2 - 13x + 3[/tex]
We can further simplify it:
[tex]12x^2 - 9x - 4x + 3 = 0\\\\3x(4x - 3) - 1(4x - 3) = 0\\\\(3x - 1)(4x - 3) = 0[/tex]
Drag each figure to show what fraction of the whole is shaded .
Answer:
1)3/4 (other) 2)2/3 3)2/3 4)1/3(other) 5)1/4
Step-by-step explanation:
the reason all the ones that say other are other is because they dont fit into the 3/4 section or 1/4. we can figure out the answers by counting up the total amount of squares/triangles and then the shaded ones, and then putting them over each other, shaded amount on top, and then simplifying. or, if you can tell by seeing that there are only 3 boxes and one shaded for example, you can simply tell its 1/3 because its already laid out for you. hope this helped
Two adjacent sides of a parallelogram
are 3473' and 4822', respectively. The
angle between these two sides is 72.23º.
Find the length of the longer diagonal.
D
4822
3473
b
a
A
72.23
C
B
Round to the nearest foot.
Enter
Answer:
6748'
Step-by-step explanation:
The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.
a^2 = b^2 +c^2 -2bc·cos(A)
a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)
a^2 = 45,535,553.83
a ≈ 6748.004
The longer diagonal is about 6758 feet long.
Anybody can I know is this the working and the answer are right? If any wrong plssss tell me..
Answer:
[tex]\boxed{Domain = \{3,6,9\}}[/tex]
[tex]\boxed{Range = \{9,18\}}[/tex]
Step-by-step explanation:
The relation is:
=> {(3,9)(3,18)(6,18)(9,18)}
Domain => x inputs of the ordered pair
Domain = {3,6,9}
Range => y inputs of the ordered pair
Range = {9,18}
Please help I’m being timed!!! A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?
Answer:
It would be the graph that has point (0,12) and is decreasing to the right.
The table shows the probabilities of certain prizes in a restaurant's contest where the first 100 customers are winners. How does the $100 gift card affect the measure of center of the data? A) it increases the mean value of the prizes B) it decreases the mean value of the prizes C) it increases the median value of the prizes D) it decreases the median value of the prizes
Answer:
A) it increases the mean value of the prizes.
Step-by-step explanation:
The median is resistant to large outliers, so it does not change if there is an especially large or small value. So, we can eliminate choices C and D.
I am actually not sure whether the data in the table count $100 as a large prize or a small one, but I am assuming it is a large prize. So, an extremely large prize would increase the mean value of the prizes.
Hope this helps!
The $100 gift card affect the measure of center of the data by increases the mean value of the prizes.
Option A is the correct answer.
What is median?It is the middles value of the given set of numbers after arranging the given set of numbers in an order.
We have,
The $100 gift card has a much larger value compared to the other prizes, and it is only given to one person.
Therefore, adding the $100 gift card to the prizes will significantly increase the total value of the prizes, which will affect the measures of center of the data.
The mean and median are two common measures of center in statistics. The mean is the sum of all the values divided by the number of values, while the median is the middle value when the data is arranged in order.
Adding the $100 gift card will increase the mean value of the prizes, but it will not affect the median value, since the median only depends on the order of the data, not the values themselves.
Therefore,
It increases the mean value of the prizes.
Learn more about median here:
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this is a simple question, what is 1/2/3 { 1divided by 2 divided by 3]
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
1 / 2 / 3 = 0.16666666666.
0.16666666666 in fraction form: 1/6.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Firstly we need to divide 1 into halves (halves is "2", 1 / 2 = 0.5.)
Now that we have 0.5, we need to divide 0.5 by 3.
0.5 / 3 = 0.16666666666
Answer:
1/6
Step-by-step explanation:
Hey there!
Well let's start with,
1 ÷ 2 = .5
.5 ÷ 3 = .1666666 repeating
As a fraction it would be 1/6
Hope this helps :)
What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3
Answer:
n = 2
Step-by-step explanation:
Here, we want to write the simplified form of the equation given in the question.
Firstly, we write the equation in an equation form:
4/5n -1/5 = 2/5n
5n(4/5n -1/5) = 2/5n(5n)
(4/5n * 5n) -(1/5)(5n) = 2
4- n = 2
n =4-2
n = 2
Answer:
The answer that I got was n=2
Step-by-step explanation:
A bag contains 5 red, 6 green, 7 yellow, and 8 blue jelly beans. A jelly bean is selected at random. What is the probability that it is blue?
Answer:
4/13 is the probability does a blue Jelly Bean is selected
Step-by-step explanation:
sample space = sum of all the jelly beans in the bag
sample space =5+6+7+8
sample space =26
probability = Jelly Bean selected / sample space
probability =8/26
probability =4/13
which of the following rational functions is graphed below?
Answer:
[tex]\textbf{A. }F(x)=\dfrac{1}{(x-3)^2}[/tex]
Step-by-step explanation:
The parent function 1/x² is shifted 3 units to the right. That means x has been replaced by x-3:
F(x) = 1/(x -3)²
In one U.S. city, the taxi cost is $3 plus $0.60 per mile. If you are traveling from the airport, there is an additional charge of $5.50 for tolls. How far can you travel from the airport by taxi for $26.50?
the airport by taxi for $26.50?
Answer:
30 milesStep-by-step explanation:
How far can you travel from the airport by taxi for $26.50 ?($26.5 - $3 - $5.50) : $0.6/m =
= $18 : 0.6$/m
= 30 miles
14
Select the correct answer
Which equation describes the line graphed above?
OA y = -41 - 5
OB. y = -x - 4
oc y = -51 - 4
Answer:
Option B
Step-by-step explanation:
Hope it is right
The value of equation describes the line graphed is,
⇒ y = -1/5x - 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, -4) and (5, -5).
Now,
Since, The equation of line passes through the points (0, -4) and (5, -5).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 5 - (-4)) / (5 - 0)
m = - 1 / 5
Thus, The equation of line with slope - 1/5 is,
⇒ y - (-4) = -1/5 (x - 0)
⇒ y + 4 = -1/5x
⇒ y = -1/5x - 4
Therefore, The equation of line passes through the points (0, -4) and
(5, -5). will be;
⇒ y = -1/5x - 4
Learn more about the equation of line visit:
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