Step-by-step explanation:
The Triangle Inequality Theorem states that any two sides of the triangle must add up to be greater than the third side.
Question #1Here we have a triangle that has side lengths of 10 in, 11 in, and ? in.
This last side length must add up to 10 in to be greater than 11 in.
The least possible whole number that would fit this description would be 2 in.
10 in + 2 in > 11 in10 in + 11 in > 2 in 11 in + 2 in > 10 inThe missing side length should be labeled as 2 inches.
Question #2We are given a triangle with side lengths of 6 in and 8 in. We are asked to choose all answers that apply from this list:
2 in3 in4.5 in 6.5 in10 in13.5 in14 in15.5 inWe can tell that 2 in cannot be an answer since 6 in + 2 in is not greater than 8 in.
We also know that 14 in and 15.5 in cannot be part of the answer choices since 8 in + 6 in = 14 in, and this is not greater than 14 in or 15.5 in.
The rest of the answer choices will form a triangle if we follow the Triangle Inequality Theorem. You can test it out yourself to check.
Therefore, the answer choices are:
B. 3 inC. 4.5 inD. 6.5 inE. 10 inF. 13.5 in Question #3We are given these possible side lengths:
2, 4, 5, 6, 10Let's test out which combinations will create a triangle.
2 + 4 > 5 5 + 2 > 44 + 5 > 2The straw lengths 2, 4, and 5 will form a triangle.
2 + 5 > 6 5 + 6 > 22 + 6 > 5The straw lengths 2, 5, and 6 will form a triangle.
2 + 6 > 4 4 + 2 >/ 6The straw lengths 2, 4, and 6 will NOT form a triangle.
4 + 5 > 66 + 5 > 4 4 + 6 > 5The straw lengths 4, 5, and 6 will form a triangle.
5 + 6 > 10 10 + 5 > 66 + 10 > 5The straw lengths 5, 6, and 10 will form a triangle.
We have no more straw lengths that will form a triangle, since adding up each remaining pair of given straw lengths do not output a value greater than another number.
[tex]{\sf{\bold\green{\fcolorbox{grey}{grey}{✅\:\:Verified\:\:answer}}}} [/tex]
How do you graph it ?
Answer:
It should look like this
Step-by-step explanation:
hope it helps
7x = 14 step by step
Answer:
x=2
Step-by-step explanation:
7x = 14
x = 14/7
x = 2
Answer:
2
Step-by-step explanation:
7x/7 = 14/7
x = 2
Which expression has the greatest value?
Answer:
the last one
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] and [tex]16^{3/2}[/tex] expressions have the greatest value.
What is square root and cube root of a number?
Square root of a number results a number that when square, gives us the previous number.
Similarly, cube root of a number results a number that when cubed, gives us the previous number.
Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64
[tex]16^{3/2}[/tex] = 4³ = 64
[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16
√(16²) = √(16 × 16) = 16
Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.
Learn more about square root and cube root of a number here: https://brainly.com/question/9664917
#Tag #SPJ2
3
Carl's baseball team is selling
trash bags to raise money for
uniforms and equipment. Each
player starts with a credit of $50
towards their sales, and each roll of
trash bags sells for $8. Determine
how many rolls of trash bags each
person must sell to make $300.
Answer:
32
Step-by-step explanation:
One member would make 250$ by selling 31.25 rolls. Which if you round up you get 32. You can't sell a quarter of a roll so you must go up one therefore the answer is one person must sell 32 rolls in order to make 300$ including the 50$ already towards his credit.
Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h
Answer:
the value of h is √676km
Step-by-step explanation:
The computation of the value of h is shown below
Here we apply the Pythagoreus theorem
= 24^2 + 10^2
= 576 + 100
= √676
Hence, the value of h is √676km
We simply determine by using the Pythagoreus theorem
2a + 3b = 5
b = a - 5
Answer for A:
[tex]a = \frac{5 - 3b}{2} [/tex]
Answer for B:
[tex]b = \frac{5 - 2b}{3} [/tex]
2nd Equation:Answer:
[tex]a = b + 5[/tex]
hope it helps.
Please help me with this i will give brainliest
Answer:
i think it's 10%
Step-by-step explanation:
Please help I'm begging you please ASAP ASAP please ASAP I need to finish in 20 min please ASAP please please help
Answer:
In the first rectangle,
one side =15*1=15
other side = 15* 3=45
in the second rectangle,
one side = 25*1=25
other side= 25*3=75
Step-by-step explanation:
can you help with this Its due today.
Answer: x squared equals y
Step-by-step explanation:
4. What is the slope-intercept equation of the
line that goes through the points (1, 5) and
(2,8)?
A. y = 2x - 3
B. y = x + 1
C. y = 3x + 2
D. y =- 1.5x – 2
Answer:
Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it
Please help use 3.14 for pi
In the sequence: 20, 25, 23, 28, 26, …, what number should come next?
a) 24
b) 31
c) 21
d) 28
Answer:
b) 31
Step-by-step explanation:
20 + 5 = 25
25 - 2 = 23
23 + 5 =28
28 - 2 = 26
pattern: add 5 then subtract 2
since we subtract last, we would add 5 on 26:
26 + 5 = 31
Answer:
31
Step-by-step explanation:
In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.
Hope it helped :)
Anyone know the answer to this ?
Answer:
no srry
Step-by-step explanation:
Kristin
spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost
$15. If she bought a total of 7 then how many of each kind did she
buy?
Expand and simplify
2(m - 3) + 3(m + 4)
Answer:
5m+6
Step-by-step explanation:
Hello There!
We can simplify the given expression using distributive property
We can distribute the 2 to the m and - 3
2 * m = 2m
2 * -3 = -6
Now lets distribute the 3 to the m and the 4
3 * m = 3m
3 * 4 = 12
we´re left with
2m - 6 + 3m +12
our final step would be to combine like terms
2m + 3m = 5m
-6 + 12 = 6
so the simplified version would be
5m+6
the hotog eating champion eats 27.5 hot dogs in 4 minutes. at that rate how many does he eat in the 10 min competition?
Answer:
68.8 hot dogs
Step-by-step explanation:
27.5 ÷ 4 = 6.875 per minute
6.875x10 = 68.75 hot dogs
Answer:
68.75 hotdogs
Step-by-step explanation:
lets say x = number of hotdogs
27.5/4 = x/10
use cross multiplication:
27.5 (10) = 4(x)
multiply
275 = 4x
divide both sides by 4 to isolate x
x = 68.75
15 is 20% of what number? Enter your answer in the box.
Answer:
75
Step-by-step explanation:
A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.
Answer:
x^2 - 2
Step-by-step explanation:
The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been
x^2 - 2
(3x²+2)-(2x²+4)
write in a different form, remove parentheses
3x²+2-2x²-4
calculate the value of the corresponding terms
x²-2
Answer: Yes, he made a mistake.
A simplified expression would look like this x²-2 and not like this x²+^6.
Help!!! State whether you agree with each of the following statements.
1. A temperature of 35 degrees Fahrenheit is as cold as a temperature of
-35 degrees Fahrenheit.
Agree
Disagree
Answer:
Step-by-step explanation:
Not true. A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.
20 Points!!!! PLEASE help!! Math!! Due soon!!
Answer:
the first one is true, the third one is true, the fourth one is true, the fifth one is true
Step-by-step explanation:
the second one is false
Hiiooo! Can someone please help ❤️❤️❤️
Answer:
tan x = [tex]\frac{f}{e}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
Step-by-step explanation:
tan = [tex]\frac{opposite}{adjacent}[/tex]
tan x = [tex]\frac{f}{e}[/tex]
cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
tell whether the ordered pair is a solution of the system of liner equation (3,2)x+y=5 y-2x=-4
Given:
The two linear equations are:
[tex]x+y=5[/tex]
[tex]y-2x=-4[/tex]
To find:
Whether the ordered pair (3,2) is a solution of the given system of liner equations.
Solution:
We have,
[tex]x+y=5[/tex] ...(i)
[tex]y-2x=-4[/tex] ...(ii)
If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.
Putting [tex]x=3,y=2[/tex] in (i), we get
[tex]3+2=5[/tex]
[tex]5=5[/tex]
This statement is true. It means the point (3,2) satisfies the equation (i).
Putting [tex]x=3,y=2[/tex] in (ii), we get
[tex]2-2(3)=-4[/tex]
[tex]2-6=-4[/tex]
[tex]-4=-4[/tex]
This statement is true. It means the point (3,2) satisfies the equation (ii).
Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.
A store sells bottles of juice in boxes. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the maximum number of bottles in each box?
Answer:
The maximum number of bottles in each box is equal to 9.
Step-by-step explanation:
Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. We need to find the maximum number of bottles in each box. It can be calculated using HCF of 18, 36 and 45
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 9.
So, there are 9 bottles in each box.
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many more hot dogs would winston need to sell to earn a total of 185.00?
2. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right
Answer:
Acute
Step-by-step explanation:
26^2 + 12^2 = 18^2
676 + 144 = 324
820 = 324
Since 324 is smaller, this triangle is acute
What is the length of one side of a cube that has a surface area of 1,734 square mm?
Answer:
a = 17
Step-by-step explanation:
1,734 = 6a^2
1,734/6 = 6a^2/6
[tex]\sqrt{289}[/tex] = [tex]\sqrt{a^2}[/tex]
a = 17
Answer:
side = 17 mm
Step-by-step explanation:
1734/6 = 289
√289 = 17 mm
distance between (-1,1), (-1, 7)? no need for explanation i just wanna see if my work is right before i turn it in
Answer:
6
Step-by-step explanation:
use M a t h w a y
Answer:
hey, so on that one guys odd question, you asked how to unfollow people
Step-by-step explanation:
if you go to your profile, where it tells your username, and bio and all that, and click on following. Find his account in the following list and click the little icon on the right! it should change to a different symbol :D Please stay safe girly!
Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:
NO CAP PLEASE, TAKE YOUR TIME!!!
Answer:
Perimeter = 82 units
Step-by-step explanation:
Find:
Perimeter
Computation:
Unknown height = 13 + x
So,
25² = x² + 24²
x = 7
So,
Unknown height = 13 + 7
Unknown height = 20 unit
Perimeter = 25 + 24 + 13 + 20
Perimeter = 82 units
10. Lori plans to buy a book for $15.99, a magazine for $3.45, and a
bookmark for $1.99. What is an estimate of the total cost of the items to
the nearest dollar?
A) $9.00
B) $20.00
C) $21.00
OD) $22.00
Answer:
C
Step-by-step explanation:
Please help me I will give brainlest if right
What is the complete factorization of the polynomial below?
x^2 + 4x^2 + 16x + 64
O A. (x-4)(x + 4i)(x + 4i)
B. (x + 4)(x + 4i)(x + 4i)
C. (x + 4)(x + 4i)(x-4i)
O D. (x-4)(x + 4i)(x-4i)
Given:
Consider the given polynomial is:
[tex]x^3+4x^2+16x+64[/tex]
To find:
The complete factorization of the given polynomial.
Solution:
We have,
[tex]x^3+4x^2+16x+64[/tex]
Using grouping method, we get
[tex]=(x^3+4x^2)+(16x+64)[/tex]
[tex]=x^2(x+4)+16(x+4)[/tex]
[tex]=(x+4)(x^2+16)[/tex]
[tex]=(x+4)(x+4i)(x-4i)[/tex] [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]
Therefore, the correct option is C.