Answer:
20
Step-by-step explanation:
The sides of the park measure 30 m and 40 m. They form the sides of a rectangle. The length of the path is along the length and width of the park, so by going along the path, the distance is
30 m + 40 m = 70 m
Going through the park, you walk in a straight line from the park to the home along a diagonal of the rectangle. That diagonal is a hypotenuse of a right triangle whose sides measure 30 m and 40 m. We use the Pythagorean theorem to find the length of the diagonal.
a^2 + b^2 = c^2
Let the legs of the right triangle be a and b. Let the hypotenuse be c.
(30 m)^2 + (40 m)^2 = c^2
900 m^2 + 1600 m^2 = c^2
c^2 = 2500 m^2
Take the square root of each side.
c = 50 m
The direct path from the school to the house is 50 m.
Difference: 70 m - 50 m = 20 m
Answer: You save 20 m.
Answer:
i solved that in your post of the "quiz" already *sigh*
What is the measure of the angle shown? Will mark brainliest!
Answer:
142
Step-by-step explanation:
There are 4 sharks and 5 dolphins. Write the ratio of sharks to dolphins. Then find and interpret the value of the ratio.
Answer:
here is the ratio 1 : 1.25 (sharks: dolphins)
Step-by-step explanation:
The ratio of sharks to dolphins is 4 : 5
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
Given Number of sharks = 4
Number of dolphins = 5
Therefore, the ratio of sharks to dolphins
= 4 : 5
Or 1 : 1.25
Number of animals = number of sharks + number of dolphins
Number of animals = 4 + 5 = 9
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The highly temperature one day was -3 the low temperature was -7 what was the difference
Alistair has a rectangular picture measuring 8 inches by 7 inches. He makes a frame for the picture, shown by the shaded area in the diagram. The area of the frame is 34 square inches, and the width of the frame is x inches.Using the given information, write an equation to model the area of the frame.
what is the graph to j
Answer:
Substitute x = -9 and x = -3 into \(y=5-\dfrac13x\)
\(\implies y=5-\dfrac13(-9)=8\)
\(\implies y=5-\dfrac13(-3)=6\)
Plot a closed circle at (-9, 8) and and open circle at (-3, 6).
Connect the points with a line segment.
Substitute x = -3 and x = 8 into \(y=\dfrac23x\)
\(\implies y=\dfrac23(-3)=-2\)
\(y=\dfrac23(8)=\dfrac{16}{3}\)
Plot closed circles at (-3, 2) and (8, 16/3).
Connect the points with a line segment.
Please can someone help me
Answer:
reciprocal
Step-by-step explanation:
Reciprocal just means to turn it upside down.
1. What is the spinning mo tion of the earth called? = rotation
Answer:
Rotation and Revolution are two motions of the earth.
Step-by-step explanation:
The description is in the image below:
a study of patients who were overweight found that 53% also had elevated blood pressure. if a patient is randomly selected find the probability that he has elevated blood pressure
Answer:
53%
Step-by-step explanation:
says it in the question lol
A jar contains 100 coins. If it is very unlikely that you will randomly choose a quarter out of the jar, how many quarters could be in the jar?
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
EASY QUESTION!!
How can I put this problem in the average rate of change formula?
The dragon family lives 165 miles away from the castle, and it takes them 3 hours to fly there.
What is their average rate of change for the trip?
Answer:
55 miles/hour
Step-by-step explanation:
165/3 miles/hour
165/3 = 55 so it takes them 55 miles/hour
3x3-5/5x6+19 i don’t know what I’m don’t wrong
Hi there!
For these two equations, we would be using PEMDAS...
\(3\)·\(3=9-5=4\)
\(5\)·\(6=30+19=49\)
Hope this helps!
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths
Which comparison is true? Use the number line to help you.
A number line going from negative 6 to positive 6 in increments of 1.
Negative 5.8 > Negative 5 and three-fourths
3.6 4.4
Answer: The answer is B, 3.6 < 37/10
Answer: I believe that your answer is B.
37/10 is greater than 3.6.
I hope I helped you!
Solve the system of equations: y=x^2, y=x+6
A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)
identify all the expressions equivalent to (49 1/2) with exponent of 5
The expressions that are equivalent to (49 1/2) with exponent of 5 are (99/2)^5. 49.5^5 and 297184390.594
How to identify all the expressions equivalent to (49 1/2) with exponent of 5?The expression is given as:
(49 1/2) with exponent of 5
The above expression can be expressed mathematically as:
(49 1/2)^5
Express 49 1/2 as an improper fraction.
So, we have:
(99/2)^5
Evaluate the quotient of 99 and 2
49.5^5
Evaluate the exponent
297184390.594
Hence, the expressions that are equivalent to (49 1/2) with exponent of 5 are (99/2)^5. 49.5^5 and 297184390.594
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Feeling anxious about another pandemic induced run-on toilet paper, Jessica is making room in a closet for hording toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 57 inches by width 57 inches by height 63 inches. One Angel Soft MEGA roll has diameter 6 inches, height 5 inches.
What is the volume of the closet space?
What is the volume of one roll of toilet paper?
Use 3.14 for π and round to the nearest whole number
How many rolls of Angel Soft MEGA toilet paper can be fit into the closet space?
The volume of the closet space = 207,936 in³
The volume of the one roll of toilet paper = 141.3in³
How to calculate the volume of the closet?To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.
Where;
length = 57 in
width = 57
height = 64
volume = 57×57×64 = 207,936 in³
The volume of the toilet paper with the shape of a cylinder would be = πr²h
where;
radius = diameter/2= 6/2=3in
height = 5 in
volume of cylinder = 3.14×3×3×5 =141.3in³
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Write the slope of tangent and normal to the curve y=f(X) at (x1,y1).
The slope of the tangent line is:
a = (df(x1)/dx)
The slope of the normal one is:
a' = -1/(df(x1)/dx)
How to find the slope of the tangent line?For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.
So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:
df(x1)/dx
And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:
a*(df(x1)/dx) = -1
a = -1/(df(x1)/dx)
Where df/dx reffers to the derivative of f(x).
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the ratio of 2/3 to 8 as a fraction in simplest form
To write the ratio of 2/3 to 8 as a fraction in simplest form, we need to divide the numerator and denominator by their greatest common factor (GCF).The GCF of 2 and 8 is 2.So, we divide both the numerator and denominator by 2:2/3 ÷ 8/1 = (2/3) ÷ (8/1) = 2/3 x 1/8 = (2 x 1) / (3 x 8) = 2/24Now, we can simplify the fraction by dividing the numerator and denominator by their greatest common factor again.The GCF of 2 and 24 is 2.So, we divide both the numerator and denominator by 2:2/24 ÷ 2/2 = (2/24) ÷ (2/2) = 2/24 x 1/2 = (2 x 1) / (24 x 2) = 1/12Therefore, the ratio of 2/3 to 8 as a fraction in simplest form is 1/12.
Answer:
How to find Ratio?
Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10
In order to find the ratio of a certain number to another number or the relation of each other, we also need to know the concept of fraction and percentage.
1/12 or 1 to 12
The ratio is 2/3*8=23⋅8=2/24=1/12
So it is 1 to 12
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How many ounces are equal to 7 pounds?
1) 112 ounces
70 ounces
84 ounces
56 ounces
My Progress >
Answer:
112
Step-by-step explanation:
16 ounce multiply that by 7. 112. This correct i googed it
if q^2-1 is divisible by 8 if q is _____
Answer:
if q is odd
Step-by-step explanation:
Hello,
Either q is odd or is even.
Case 1 - we can find k integer so that q = 2k
Then, in the case
\(q^2-1=4k^2-1\)
This is not divisible by 8, for instance, q = 6
\(q^2-1=36-1=35=7*5\)
Case 2 - we can find k integer so that q = 2k+1
\(q^2-1=(2k+1)^2-1=4k^2+4k+1-1=4k(k+1)\)
k(k+1) is divisible by 2 so the initial number is divisible by 8
Conclusion, the answer is q is odd.
Thanks
If mZFCB = 65°, then what is mZNCE? B D C с E At G N H K M L I J
We have the measure of FCB, that is 65 degrees.
We have to find the measure of NCE.
We see that FCB and NCE are supplementary, so they add 180 degrees between the two.
We can write this as:
\(\begin{gathered} \text{mFCB}+\text{mNCE}=180 \\ 65+\text{mNCE}=180 \\ \text{mNCE}=180-65=115 \end{gathered}\)The measure of NCE is 115 degrees.
Find x when () = 2. Please explain step by step
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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You have $16 and a coupon for a five dollar discount at a local supermarket one bag of hot Cheetos cost 3 dollars how many bag of Cheetos can you buy
The number of Cheetos you can buy in the supermarket is 7.
How to find the number of bag of Cheetos bought?You have $16 and a coupon for a five dollar discount at a local
supermarket . One bag of hot Cheetos cost 3 dollars. Therefore, the
number of bag of Cheetos you can buy can be calculated as follows:
Therefore, altogether he has 16 + 5(coupon discount) = 21 dollars to spend
in the super market.
Therefore,
number of Cheetos worth 3 dollars one can buy = 21 / 3
number of Cheetos worth 3 dollars one can buy = 7
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Question 3 of 10
Which best describes how empirical probability is which which best describes how empirical probability is determined?
A. By considering all possible outcomes
B. By deciding which events are unpredictable
C. By deciding which events are random
D. By personal experimentation and testing
SUBMIT
Answer:
B. By personal experimentation and testing
Step-by-step explanation:
What is the value of x?
Answer:
12
Step-by-step explanation:
10x - 20 + 6x + 8 = 180
Supplementary angles
Answer:
x = 12
Step-by-step explanation:
The two given angles create a straight line (Definition of Straight Line). This means that:
\((10x - 20) + (6x + 8) = 180\)
First, combine like terms. Like terms are terms that share the same amount of the same variables:
\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 12 to both sides of the equation:
\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)
Next, divide 16 from both sides of the equation:
\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)
12 is your answer.
~
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give the correct triangle congruence theorem
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 liter tin of paint in his store and decides to paint the tank (not the base). If he uses 250ml to cover 1m^2, will he have enough paint to cover the tank with one layer of paint? ( Take π = 3.142)
Answer:
There is enough paint to cover the tank with one layer of paint.
Step-by-step explanation:
Given the cilindrical configuration of the tank and supposing that only external face must be painted, the surface area of the section (lateral wall + lid) can be calculated by the following expression:
\(A_{s} = 2\pi\cdot r\cdot h + \pi\cdot r^{2}\)
Where \(r\) and \(h\) represent the radius and the height of the cube, respectively.
If \(r = 0.55\,m\) (a diameter is two times the length of radius) and \(h = 1.4\,m\), the intended surface area is:
\(A_{s} = 2\pi\cdot (0.55\,m)\cdot (1.1\,m)+\pi\cdot (0.55\,m)^{2}\)
\(A_{s} \approx 4.751\,m^{2}\)
It is known that 250 mL of paint are needed to cover a square meter of the surface area, the needed amount of paint to cover the required area is estimated by simple rule of three:
\(Q = \frac{4.751\,m^{2}}{1\,m^{2}}\times (250\,mL)\)
\(Q = 1187.75\,mL\,(1.188\,L)\)
In consequence, there is enough paint to cover the tank with one layer of paint.
3. Find the length of the missing leg. Show all
of your work. Round answers to the nearest
tenth.
50
30
The length of the missing leg is given as follows:
40 units.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The parameters for this problem are given as follows:
Legs of 30 and x.Hypotenuse of 50.Hence the missing leg x is obtained as follows:
30² + x² = 50²
x² = 1600
x² = 40²
x = 40.
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A bicycle wheel with diameter 70cm is making 25 revolution while traveling. Find the distance coverd by the bicycle
Answer: 5495
Step-by-step explanation: trust me
The sum of 4,7, and a number amounts to 16 find the number
Answer:
The unknow number is 5.
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
1. To solve, first wrote it into an equation. Also, the letter x will stand for the unknown number.
4 + 7 = 11
11 + x = 16
2. Isolate the varable by subtracting 11 from both sides of the equation.
11 + x = 16
- 11 - 11
x = 5
The unknow number is 5.
Check:
11 + 5 = 16
16 = 16
True statement.