Answers
Answer:
0.5 < x < 16.5
Step-by-step explanation:
For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.
When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2. (such that S2 > S1)
By the first property, we will have that S1 + S2 > S3
Where S3 is the third side, the one that we do not know.
But there is also a lower restriction, given by:
S2 - S1 < S3 < S1 + S2
This is because we also must have:
S1 + S3 > S2
and
S2 + S3 > S1
We can rewrite both of these to get:
S2 - S1 < S3
S1 - S2 < S3
Because S2 > S1, the first inequality is more restrictive, so we need to use that one.
Then we get the inequality:
S2 - S1 < S3 < S1 + S2
Ok, in this case, the shorter side is 8.0 then:
S1 = 8.0
And the longer side is 8.5, then:
S2 = 8.5
And the third side is x, S3 = x
Replacing those in our inequality, we get:
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 16.5
This is the range of possible sizes for side x.
Related Questions
1. The table below shows Vanessa's height in inches for two different years.
YEAR (x) 2000&2005
HEIGHT (y) 48 inches 54 inches
Which is a correct conclusion about the rate of change shown in the table?
A. Vanessa grows about 41.7 inches per year. B. Vanessa grows about 6 inches per year.
C. Vanessa grows about 1.2 inches per year.
D. Vanessa grows about 83 inches per year.
Answers
Answer:
Option C, Vanessa grows 1.2 inch per year
Step-by-step explanation:
Based on the given information it is clear that from 2005 to 2000 i.e in 5 years height of Vanessa has increased by 6 inch i.e from 48 inch to 54 inch.
If we estimate the per year growth, we can deduces that Vanessa grows by[tex]\frac{6}{5} = 1.2[/tex] inch.
Hence, option C is correct
Vanessa grows 1.2 inch per year
A bakery makes a $5 profit for each cake it sells. It makes
a $6 profit for each pie it sells. The expression 5c + 6p
represents the profit for selling c cakes and p pies. How
much profit is made if the bakery sells 10 cakes and 7 pies?
Answers
Answer:
It’s 92
Step-by-step explanation:
$5 x 10 cakes= 50
$6 x 7 pies= 42
50 x 42= 92
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answers
Answer:
yes, this quadrilateral is a parallelogram.
Step-by-step explanation:
Above quadrilateral ,
opposite angle 70=70
and there is also 180-70=110 (linear pair)
so, others opposite angle 110=110
This quadrilateral have opposite sides equal
so, this is parallelogram.
Selina surveyed 150 people to find out which of five sports they prefer to watch TV on. The results of the survey are shown in the table.
If you were to randomly choose one of the people Selina surveyed, which statement would be true about that person?
Answers
Answer:
C
Step-by-step explanation:
They would be 3x more likely to choose football over tennis, since tennis is 13 and football is 39
39/3=13
Final answer is C
noah wrote that 6+6=12 then has write 6+6-n=12 what property of equality justifies that the equation are equivalent
Answers
Answer:
This may be written incorrectly.
Assuming that this is written correctly, then we have that:
6 + 6 = 12
is equivalent to:
6 + 6 - n = 12
Here the properties that we can add 0 in one side of the equality and this does not change the equality, so this only works if n = 0.
If we instead had:
6 + 6 = 12
is equivalent to:
6 + 6 - n = 12 - n
In this case, Noah used the additive or subtractive property of equality.
this property says that in an equality we can add (or subtract) the same value on both sides, and it does not change the equality.
Kevin rode 24 km in 2 hours. At that rate, how long would it take him to ride 120 km?
Answers
Answer:
10 hours
Step-by-step explanation:
We can convert the speed to km/h, and to do this, you simply have to find the amount Kevin rides in 1 hour. So,
24/2 = x/1
x = 12
So, now we see that Kevin rides at approximately 12 kmph. Now, instead of finding the distance, we need to find the hour at 120 km.
12/1 = 120/x
x = 10
1 2 3 4 5 6 7 8 10 Which set of steps will translate f(x) = 67 to g(x) = 67-5-7? Shift f(x) = 6X five units to the left and seven units up. Shift f(x) = 6' five units to the right and seven units down. Shift f(x) = 6 seven units to the right and five units up They Shift f(x) = 6' seven units to the left and five units down.
Answers
Answer:
Shift f(x) = 6' seven units to the left and five units down.
Step-by-step explanation:
if the area of a rectangle is 48 square feet and the width of the rectangle is 6 feet what is the perimeter of the rectangle
Answers
Answer:
28 ft
Step-by-step explanation:
the perimeter of the rectangle is 28 feet
A dinner plate has a radius of 4 inches. What is the plate's circumference?
Answers
Answer: 8 inches
Step-by-step explanation:
Answer: 25.12
Step-by-step explanation:
C= 2πR
= 2 * 3.14*4
= 25.12
Brand A tortilla chips cost $3.50 for 12 ounces and Brand B tortilla chips cost $4.50 for 16 ounces.
a. Which brand of tortilla chips has the lowest unit price?
Answers
Answer:
Tortilla B
Step-by-step explanation:
Tortilla A is .29 per ounce
Tortilla B is .28 per ounce
You can find this by doing 3.50 divided by 12 and 4.50 divided by 16
MARK ME BRAINLIEST PLEASE
Write the equations of the lines on the grid.
Answers
red line: y = x
green line: y = -x
Samuel ate
1/2 of the oatmeal cookies and 2/3 of the
sugar cookies for a total of 18 cookies. The number
of oatmeal cookies he ate was six more than the
number of sugar cookies he ate. How many sugar
cookies did he eat?
Answers
Answer:
9 sugar cookies
Step-by-step explanation:
Let the number of sugar cookies be x.
If the number of oatmeal cookies was six more than the number of sugar cookies, then oatmeal cookies can be represented by x + 6.
So, we know that Samuel ate half of the oatmeal cookies and 2/3 of the sugar cookies, for a total of 18 cookies. Let's represent this with an equation.
x + x + 6 = 18
2x + 6 = 18
2x = 12
x = 6
So x represents 6. Recall that he ate 2/3 of the sugar cookies, so 2 parts of sugar cookies is 6.
Therefore, we can do this:
(3/2) x 6 = 9 cookies
This is essentially saying, "I want to find 3 parts if 2 parts is 6 cookies."
He ate 9 sugar cookies.
Help me with the question also explain the work. If you can send a picture of what you did that would be also helpful. thx ;)
Answers
answer: x = -7/4
12 = -4x +5
Subtract 5 from both sides.
7 = -4x
Divide both sides by -4.
-7/4 = x
Flip if you want.
x = -7/4
:)
Answer:
-43
Step-by-step explanation:
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20
Answers
Complete Question
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?
Answer:
11 2/3 cups of flour
Step-by-step explanation:
From the above question:
6 dozen = 3 1/2 cups of flour
20 dozen = x
Cross Multiply
6 dozen × x = 20 dozen × 3 1/2 cups of flour
x = 20 dozen × 3 1/2 cups of flour/6 dozen
x = 20 × 7/2 /6
x = 140/2 ÷ 6
x = 140/2 × 1/6
x = 140/12 cups of flour
x = 11 8/12
= 11 2/3 cups of flour
Therefore, 11 2/3 cups of flour must be used to make 20 dozen.
A dinner plate has a radius of 6 inches. What is the diameter of the plate in inches?
Answers
Answer:
the plate diameter is 12 u just times the radius by 2
Step-by-step explanation:
PLZZZZZZZZZZZZ help asap no links please
Answers
Answer:
According to the instructions there should be an attached menu could you add that? Thanks :)
Step-by-step explanation:
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.
Answers
Answer:
3rd Answer =Option A is the Correct Answer
Step-by-step explanation:
Hi!
3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.
4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.
Hope this helps! I would appreciate brainliest, if not that's okay!!
No Links or I will report you Algebra 1 help 2 questions Interpret Exponential Function Constant
Answers
Answer:
1) The function is decreasing exponentially at a rate of 15% every decade.
2) The function is increasing exponentially at a rate of 20% every year.
Step-by-step explanation:
1) 1–0.85 = 0.15
0.15 x 100 = 15%
2) 1.2–1 = 0.2
0.2 x 100 = 20%
I need help I already posted but no one replied.
only 1,2,5
Answers
5. The area of the base is 50.2cm2.
The area of the curved surface is 351.7 cm2.
The total surface area would be 401.9 cm2.
_2. You have a part-time job 4 days per week, 5 hours per day. How many hours will you work in two weeks?
A) 10
B) 20
C) 40
D) 80
Answers
Answer:
C) 40
Step-by-step explanation:
For every one day your work is 5 hours.
1 day = 5 hours
Set up a proportion so it would be:
[tex]\frac{1 day}{5 hours} = \frac{4 days}{x hours}[/tex]
4 days x 5 hours = 20 hours/week
So now you know you know you work 20 hours/week, then multiply by 2 since they're asking how many hours will you work in two weeks:
20 hours x 2 weeks = 40 hours in two weeks
hii please help i’ll give brainliest:)
Answers
Answer: Caravans
Step-by-step explanation:
The graph of the quadratic parent function was transformed to create the graph g(x) = f(x) - 9. Which statement about the graphs is true?
Answers Choices
A The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph is 9 units to the right of the vertex of the graph of f
C. The graph of g is a reflection of the graph of f across the y-axis.
D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Answers
9514 1404 393
Answer:
D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Step-by-step explanation:
Subtracting 9 from the function value moves every point on the graph down 9 units. That includes the y-intercept.
D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
5) What is the median of the data? 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
O 22
O 43
O 5
O 21.9
Answers
Answer:
the answer is 22
Step-by-step explanation:
hoped I helped! i had messed up the first time lol
1. The French Club will wash cars for $5 each to raise money for a trip to Quebec. Their profit is determined by taking this revenue and subtracting $15 for the supplies they purchased, and is modeled by the function p = 5C - 15, where c is the number of cars washed. If the French club can wash up to 5 cars in an hour, what is the range of the function for this situation?
A {0,1,2,3,4,5}
B 0 < c < 5
C -15 < p < 10
D { -15,-10,-5,0,5,10}
Answers
Answer:
p=5c-15=p=5×5-15 =-15<p>10
please help me solve this problem |4|+|-5|=
Answers
Answer:
-1
Step-by-step explanation:
Find the circumference
Answers
C=D x 3.14
Answer:
37.7 cm
Step-by-step explanation:
C = 2πr
diameter = 12cm
radius(r) = diameter ÷ 2radius(r) = 12 ÷ 2radius(r) = 6cmC = 2πr= 2 × 22/7 × 6Circumference = 37.7 cmsomeone help me please
Answers
Answer:
[tex]426.9km^{2}[/tex]
Step-by-step explanation:
Area of the shaded region→
[tex]A=\frac{1}{2}*40*27-\pi *6^{2}[/tex]
→ [tex]540-113.04[/tex]
→[tex]426.9[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!!
an athlete did one round around a circle of radius 42m.what is the total distance covered by him
Answers
Answer:
2 * pi * 42 meters
Step-by-step explanation:
One round means a parameter of the circle
In a class, there are 24 boys to 18 girls. What is the ratio of boys to the total number of students in the class?
Options:
a. 24:24
b. 24:42
c. 42:24
d. 18:42
Answers
Answer:
B. 24:42Step-by-step explanation:
24 boys to 18 girls, total students:
24 + 18 = 42Ratio of boys to the total number of students:
28 : 42Correct choice is B
Answer:
Solution given;
girl's=18
boys=24
total no of students=24+18=42
now
the ratio of boys to the total number of students in the class=[tex] \frac{24}{42} [/tex]
=24:42is the required ratio.
Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28
Answers
Answer:
3.3 = [tex]3^{2}[/tex] = 9
Step-by-step explanation: