Hello !
- for a triangle to be constructible, the longest side must be less than the sum of the other two sides. -
so :
67 smaller than 27+47 ?
67 ⟨ 74 it's the right answer.
I hope I helped you !!
Have a good evening !!!
Patrick can form a triangle using the rod lengths of 20 inches and 27 inches and 47 inches. The other combinations of rod lengths do not meet the conditions laid out by the triangle inequality theorem.
Explanation:The subject of this question is Mathematics, specifically focusing on geometric properties of triangles. According to the triangle inequality theorem, a triangle can only form if the sum of the lengths of the two shorter sides is greater than the length of the longest side. In this context, Patrick uses scrap metal to build sculptures and wants to create triangles from metal rods which are 20 inches, 27 inches, 47 inches, and 67 inches long. Using the triangle inequality theorem, we can determine which combinations of rod lengths can form a triangle:
If he uses the rod lengths 20 inches, 27 inches, and 47 inches, it would satisfy the theorem since 20+27 = 47. Therefore, these lengths can form a triangle.For the rods with lengths of 20 inches, 47 inches, and 67 inches, the sum of the two shorter lengths (20+47 = 67) is not greater than the length of the longest rod (67). Hence, these lengths cannot form a triangle.Similarly, for rods measuring 20 inches, 27 inches, and 67 inches, the sum of the two shorter rods (20+27 = 47) is less than the length of the longest rod (67). Therefore, this combination can't form a triangle either.Learn more about Triangle Inequality TheoremHELP HELP HELP PLSSSS
Answer:
blue increased is addition
Step-by-step explanation:
Please help me with this question .
Answer:
B
Step-by-step explanation:
hope it helps
Maya used 7/8 can of white paint. She used 1/4 can of blue paint. How many more cans of white paint than blue paint did Maya use?
6/32 can
5/8 can
8/12 can
1 1/8 cans
Answer:
3/8
Step-by-step explanation:
2, 3, 5, 9, 17, 22, 31, 39
Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17
Answer:
Mean = 16
Step-by-step explanation:
MEAN can be find bg the sum of all score divided by the amount of the score.
Mean = total amount / number of amount
Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39
= 128
number of amount = 2, 3, 5, 9, 17, 22, 31, 39
= 8
Then we can calculate mean as
Mean = 128/8
Mean = 16
Can I get some help?
Answer:
A
Step-by-step explanation:
8x (the babysitter gets paid 8 dollars an hour, and x represents number of hours)
3 (this is the additional tip the babysitter gets; it's not dependent on the number of hours she/he works)
The babysitter will get paid the same despite babysitting two kids- no variable here is dependent on the amount of kids the babysitter babysits.
Answer:
A) 8x + 3
Step-by-step explanation:
The babysitter gets 8 dollars per hours, and x is the hours, so 8x, 8 dollars per hour. She also gets 3 dollars if she gets the children to sleep on time, so add 3. The equation is 8x + 3.
You can use place value to think about the expression 9×6,128
9
×
6
,
128
.
Fill in the blanks to show a way to represent 9×6,128
9
×
6
,
128
with an area model.
Choose the model for the problem 1/4 divided by 5 .
5/8
3/40
1/20
1/4
Hey there!
1/4 ÷ 5
=> 4/1 × 5/1
=> 20/1
Therefore, 20/1 is the answer
Answer:
\(\frac{1}{20}\)
Step-by-step explanation:
\(\frac{1}{4}\div 5\\\\ \frac{1}{4}*\frac{1}{5}\\\\\frac{1}{20}\)<== final answer
Hope this helps!
There are 5 blue socks in Josh’s drawer. After he removes 3 non-blue socks, the probability to pick a blue sock at random becomes . How 1/7 many non-blue socks were in Josh’s drawer originally?
Answer: There is 5 non blue sock in Josh's drawer
Step-by-step explanation:
The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.
A function with an input of 1 has and output of 3. Which of the following could NOT be the function equation?
1. y= 3x
2. y= x+2
3. y= 4x-3
4. y= 4x-1
Answer:
The answer is 3
y=4x-3❌
Step-by-step explanation:
1)y=3x=3(1)=3✅
2)y=x+2=1+2=3✅
3)y=4x-3=4-3=1❌
4)y=4x-1=4-1=3✅
What are multiples for 5 and 2
If the bill is $47.96 and you leave a 15% tip, what is the tip amount?
Answer:
7.19 is the tip
Step-by-step explanation:
Take the amount of the bill and multiply by the tip percentage
47.96 * 15%
Change to decimal form
47.96 * .15
7.194
Round to 2 decimal places
7.19
Answer: $7.19
Step-by-step explanation:
15/100 = 0.15
We only want the tip, not the total cost:
Do 0.15 * $47.96 to get about $7.19
How many different possible outcomes are in the sample space?
Work Shown:
3 choices for the 1st column2 choices for each subsection in the next column3 choices for each subsection after that3*2*3 = 18 different outcomes possible in the sample space. This is the number of possible pathways in the tree diagram.
Help. I'll mark as brainlist.
Answer: okay, I think the answer would be <NQP and <PQN if the answer is asking for a different way to identify it other than <Q
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
hhelpppp! plz show me how to do it
Answer:
0.625
Step-by-step explanation:
Divide the top number by the bottom; 5 divided by 8.
Answer:
0.625
Step-by-step explanation:
Long division:
\(\left[\begin{array}{cccccc}&0&.&6&2&5\\&-&-&_{5} \ -}&_{2} \ -&_{4} \ -\\8 |&5&.&0&0&0&\end{array}\right]\)
You write the denominator first, which is the number beneath and the number being divided by;
You can then put a vertical line to the right of this;
Then the numerator goes after the vertical line, i.e. the number above and the number being divided;
As you can see above, this looks like:
8 | 5
Now, quite simply ask how many 8s go into 5;
The answer is 0;
8 × 1 = 8, which is greater than 5;
The 5 is shifted to the next number;
This would be 0 after the decimal point;
The number becomes 50;
Once again, how many 8s go into 50;
8 × 6 = 48
So, we write 6 above the 0;
There is a remainder of 2, since 50 - 48 = 2;
The 2 is shifted to the next number;
This would also be 0;
The number becomes 20;
How many 8s go into 20;
8 × 2 = 16
So, 2 goes above this 0;
The remainder is 4, 20 - 16 = 4;
This 4 is shifted to the next number:
This too is a 0;
The number is 40;
Once again, how many 8s go into 40;
8 × 5 = 40
So, 5 goes above this 0;
There is no remainder so the division is completed;
The answer is the number above:
0.625
This method applies to any division and is very useful and yet simple.
(Angles) Use the diagram at the right
Answer:
10.
Angle NSR, angle QSM, and angle PSM
11.
Angle QSR and angle QSM
12.
Angle MSR
13.
Angle NSM, angle PSR, and angle OSR
Step-by-step explanation:
10. Obtuse angles are greater than a 90 degree angle
11. Right angles make like a half square shape
12. Straight angles are like straight lines
13. Acute angles are less than 90 degrees
Also, sorry I could do the ones with a protractor, I did not have one on hand lol
.........help...............
Answer:
1. X axis, 8, 3
2. Y axis, 4,-9
Step-by-step explanation:
The rule of reflections that the place opposite of the axis is negative so:
The rule for x-axis reflection is (x,-y)
The rule for y-axis is (-x,y)
For the first one, x has remained the same, so that means it’s a x-axis reflection.
So change -3 to 3
Same for the next one.
-9 is not changed so that means it’s a y-axis reflection.
And the point is 4,-9
Answer:
1) x axis, (8, 3)
2) y axis, (4, -9)
show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.
An isosceles triangle has 2 sides that are equal.
I plotted these points. See attached screenshot.
The first side's distance is 5. You can just count those units along the x axis. (0,0) and (5,0) share the same y coordinate, so the difference in x coordinates is 5-0 = 5.
The next sides's distance is also 5. You can count that distance on the coordinate plane. (5,5) and (5,0) share the same x coordinate, so the difference in y coordinates is 5-0 = 5.
These two sides make a right triangle and are equal length. This is an isosceles right triangle.
20pts! A toy pyramid has the dimensions shown below. The base of the pyramid is an equilateral triangle. What is the surface area of this pyramid?
48 cm 2
129 cm 2
102 cm 2
81 cm 2
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
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A rectangle in a coordinate plane has vertices L (−3, 9) , M (4, −2) , N (−3, −2) , and O (4, 9) . What is the distance between point L and point N, in units?
Answer:
Step-by-step explanation:well 1+1 equals 2 so figure it out yourself
Write the following in algabraic expression: the sum of the number a and three times the square of the number b
Answer:
a+3b^2
Step-by-step explanation:
Alyson is restocking her pantry. She buys 4 kinds of canned soup: tomato (T), mushroom (M), vegetable (V), and chicken noodle (N). She also buys garlic croutons (G) and cheese croutons (C) to pair with the soups. Which TWO statements are TRUE for this situation?
A.{ T, M, V, N, G, C} is the sample space.
B.{TG, TC, MG, MC, VG, VC, NG, NC} is the sample space.
C.There are 8 serving combinations.
D.{T, M, V, N} is the sample space.
E.There are 6 serving combinations.
Answer:
A and D would be your 2 sample spaces
Step-by-step explanation: because we can see its clearly not C or E so that leaves us with A , B, and D. I belive that B isnt a asnswer choice so that leaves A, and D
mark me brainless please it helps me
hope this helps
I would say A and D
There is no way that E and C are the answer. B is a no because TG…? What does TG mean? Some of the letters in choice B doesn’t make sense to me.
NEED HELP ASAP Triangle JKL was dilated with the origin as the center of dilation to create triangle J'K'L'. The triangle was dilated using a scale factor of 1/2 Which rule represents the dilation applied to triangle J K L to create its image, triangle J′ K′ L′ ?
Answer:
Step-by-step explanation:
C
a store bought a vacuum cleaner for $120. the overhead is 5% of the cost. the store wants to make a profit of 10% over the cost plus overhead. find the selling price of the cleaner.
Answer:
The selling price of the cleaner is:
$138.6Step-by-step explanation:
First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:
$120 * 5% = $6This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):
$126 * 10% = $12.6And you must add this value to obtain the final price in the store:
$126 + $12.6 = $138.6What is the elevation of 7 feet below sea level?
Answer:
-7
Step-by-step explanation:
it would be -7 because the more you go under the number becomes a negative but if you go above sea level the number becomes a positive!
Answer:7 feet below sea level is a lower elevation than 4 1/2 feet above sea level
Step-by-step explanation:
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
Coach Gonzalez asked a group of her swim team members to record the number of miles they swam this month. The students' responses are in the chart below.
Number of Miles Swam This Month. Swim Team. Member Name. Miles Swam This Month. Tiara. 6.8 miles. Anthony. 8. 1 over 4 miles. Alejandra. 7. 3 over 4 miles. David. 9.1 miles.
If Coach Gonzalez's goal was for this group to swim 50 miles this month, what is the best estimate of how many more miles they will need to swim to reach this goal?
Organizing info you gave me =)
Number of Miles Swam This Month.
Swim Team.
Member Name.
Miles Swam This Month.
Tiara. 6.8 miles.
Anthony. 8.1/4
Alejandra. 7.3/4
David. 9.1 miles.
so, 40-(7.3/4+6.8+9.1+8.1/4)=20.25
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
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Due in 5 min pls help
Answer:
Step-by-step explanation:
12 or 3