Is it possible to build a triangle with the side lengths of 9,7, and 16?
Please help! 11pts!!
Answers
Answer:
False
Step-by-step explanation:
To be able to build a triangle, the sum of the lengths of any 2 sides must be greater than the length of the third side.
With lengths 9, 7, and 16, 9 + 7 = 16.
You would need 9 + 7 > 16.
Therefore, these sides cannot be used for a triangle.
Related Questions
Find the value of n.
3+ (2 + 8) = (3 + 2) + n
Answers
Answer: n=8
Step-by-step explanation: 3+2+8=13
3+2=5 so 13-5=8
Answer:
n=8
Step-by-step explanation:
PEMDAS:
Solve out each side then subtract 5 from the side with n.
Work:
3+(2+8)=(3+2)+n
3+10=5+n
13=5+n
8=n
The health of employees is monitored by periodically weighing them in. A sample of 54 employees
has a mean weight of 183.9 lb. Assuming that o is known to be 121.2 lb, use a 0.10 significance level
to test the claim that the population mean of all such employees weights is less than 200 lb.
Traditional Method
I need to know how to do the Traditional way with a step by step because I am not understanding it at all.
Answers
please answer this question
Answers
As we know an identity that ;
[tex]{\boxed{\bf{\cos{(2\theta)}=2\cos^{2}(\theta)-1}}}[/tex]Setting, [tex]{\bf{{\theta}=\footnotesize \dfrac{\pi}{8}}}[/tex] will give us ;
[tex]{:\implies \quad \sf \cos \left(2\times \dfrac{\pi}{8}\right)=2\cos^{2}\left(\dfrac{\pi}{8}\right)-1}[/tex]
[tex]{:\implies \quad \sf 2\cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1}{\sqrt{2}}+1}[/tex]
[tex]{:\implies \quad \sf 2\cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{2\sqrt{2}}}[/tex]
Rationalizing the denominator of RHS, will yield ;
[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{2\sqrt{2}}\times \dfrac{2\sqrt{2}}{2\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{2\sqrt{2}+4}{8}}[/tex]
[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{2\sqrt{2}+4}{8}}[/tex]
[tex]{:\implies \quad \sf \cos \left(\dfrac{\pi}{8}\right)=\pm \sqrt{\dfrac{2\sqrt{2}+4}{8}}}[/tex]
Now, as we know that ;
[tex]{\boxed{\bf{\sin (2\theta)=2\sin (\theta)\cos (\theta)}}}[/tex]Now, setting the same [tex]{\bf{{\theta}=\footnotesize \dfrac{\pi}{8}}}[/tex]
[tex]{:\implies \quad \sf 2\sin \left(\dfrac{\pi}{8}\right)\cos \left(\dfrac{\pi}{8}\right)=\sin \left(2\times \dfrac{\pi}{8}\right)}[/tex]
[tex]{:\implies \quad \sf 2\sin \left(\dfrac{\pi}{8}\right)\cos \left(\dfrac{\pi}{8}\right)=\dfrac{1}{\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)\left(\pm \sqrt{\dfrac{2\sqrt{2}+4}{8}}\right)=\dfrac{1}{2\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)=\dfrac{\sqrt{8}}{2\sqrt{2}(\pm \sqrt{2\sqrt{2}+4})}}[/tex]
[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)=\pm \dfrac{1}{\sqrt{2\sqrt{2}+4}}}[/tex]
This is the required answer
what is alergbra about and why ?
Answers
Answer:
Simply put, algebra is about finding the unknown or putting real life variables into equations and then solving them. ... Algebra can include real numbers, complex numbers, matrices, vectors, and many more forms of mathematic representation
Step-by-step explanation:
The dimensions of this figure are changed so that the new surface area is exactly 14 what it was originally. What is the new surface area? Enter your answer as a decimal in the box. ft² Complex solid composed of rectangular prisms in an L shape. The bottom face is labeled with a length of 9.8 ft. The height of the shorter side of the L shape is labeled 6.5 ft. The height between the shorter side and taller side of the L shape is labeled 8.1 ft. The length of the of the taller section of the L shape is labeled 10.6 ft and the width is labeled 4.3 ft.
Answers
Answer:
Step 1. Read the problem. Draw the figure and label it with the given information. .
Step 2. Identify what you are looking for. the measure of an angle
Step 3. Name. Choose a variable to represent it. Let x= the measure of an angle.
Step 4. Translate. m\angle A+m\angle B+m\angle C=180
Write the appropriate formula and substitution
X + 4.3 + 10.6- 8.1 \end{array}
Step 7. Answer the question. The measure of the third angle is 6.8ft
The new surface area is approximately 12264.56 ft².
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To solve this problem, we first need to calculate the original surface area of the complex solid.
The complex solid is composed of two rectangular prisms, one with dimensions 9.8 ft × 6.5 ft × 8.1 ft and one with dimensions 10.6 ft × 4.3 ft × 6.5 ft.
The surface area of the first rectangular prism is:
2(9.8 × 6.5) + 2(9.8 × 8.1) + 2(6.5 × 8.1) = 464.82 ft²
The surface area of the second rectangular prism is:
2(10.6 × 4.3) + 2(10.6 × 6.5) + 2(4.3 × 6.5) = 411.22 ft²
So the total original surface area of the complex solid is:
464.82 + 411.22 = 876.04 ft²
Now we need to find the new surface area, which is exactly 14 times the original surface area.
Therefore, we can write:
New surface area = 14 × original surface area
New surface area = 14 × 876.04
New surface area ≈ 12264.56 ft²
Thus,
The new surface area is approximately 12264.56 ft².
Learn more about Prism here:
https://brainly.com/question/12649592
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James just moved to a new home. He made a graph showing the number of boxes in each room.
James moved 3 boxes from the living room to the bedroom.
After James moved those 3 boxes, which two rooms had the same number of boxes?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Living room
(Choice B)
B
Kitchen
(Choice C)
C
Bathroom
(Choice D)
D
Bedroom
Answers
Answer:
B and D
Step-by-step explanation:
Kitchen and Bedroom will have same number f boxes after James moved 3 boxes from the living room to the bedroom.
The kitchen and the bedroom will have the same number of boxes
How to determine the rooms?The key on the graph implies that:
1 image represents 3 boxes
Using the above key, we have:
Living room = 9 boxesKitchen = 15 boxesBedroom = 12 boxesBathroom = 3 boxesWhen 3 boxes are moved from the living room to the bedroom, we have:
Living room = 6 boxesKitchen = 15 boxesBedroom = 15 boxesBathroom = 3 boxesHence, the kitchen and the bedroom will have the same number of boxes
Read more about charts at:
https://brainly.com/question/24741444
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3. Suppose a serial number must consist of four different digits, followed by two
different letters. How many different serial numbers are possible?
Answers
Answer: 6,760,000 different possible serial numbers.
Step-by-step explanation: There are 10 digits numbered 0 to 9. There are also 26 letters in the alphabet. Using this, we can do 10*10*10*10*26*26 as there are four digits needed and two letters. This computes to approximately 6,760,000 different possible serial numbers, assuming no other factors are involved.
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 13 of the 62 boxes on the shelf have the secret decoder ring. The other 49 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?
Answers
Answer:
I'm pretty sure it is 7.4% or 0.074.
Step-by-step explanation:
Answer:
0.041 = 4.1%
Step-by-step explanation:
The probability the first box has a secret decoder ring is 13/62.
The probability the second box has a secret decoder ring is 12/61.
The probability of both is:
P = (13/62) (12/61)
P ≈ 0.041
Find the sum of the first 45 terms of the following series, to the nearest integer. 2,11, 20, ...
Answers
Answer:
[tex]S_{45}[/tex] = 9000
Step-by-step explanation:
there is a common difference between consecutive terms , that is
11 - 2 = 20 - 11 = 9
this indicates the sequence is arithmetic with nth term
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 2 and d = 9 , then
[tex]S_{45}[/tex] = [tex]\frac{45}{2}[/tex] [ (2 × 2) + (44 × 9) ]
= 22.5(4 + 396)
= 22.5 × 400
= 9000
if 8 times a number is added to twice the number, the result is 80.
Answers
Twice the number = x + x = 2x
8x + 2x = 80
10x = 80
Divide through by 10
x = 8
Where x is the number
which fractions equal three? need help ASAP.
Answers
Answer:
anything that has a numerator three times greater than its denominator. Examples: 3/1, 6/2, 9/3, 12/4, 15/5, so on.
Step-by-step explanation:
When simplifying, you divide both by the denominator and if it equals three, then the fraction is equal to three.
Put a ✓ in the box if the figure has line symmetry and put an ✗ if it does not have line symmetry.
Answers
#1
Both vertical and horizontal#2
Both vertical and horizontal#3
Both vertical and horizontal#4
None#5
Vertical#6
Vertical#7
None#8
VerticalAnswer:
See below.
Step-by-step explanation:
#1) Audi symbol
Vertical (√)Horizontal (√)#2) Under Armour Logo
Vertical (√)Horizontal (√)#3) Chanel Logo
Vertical (√)Horizontal (√)#4) Red Logo
Vertical (X)Horizontal (X)#5) Mouse Logo
Vertical (√)Horizontal (X)#6) Android Bot
Vertical (√)Horizontal (X)#7) Nike logo
Vertical (X)Horizontal (X)#8) Spider
Vertical (√)Horizontal (X)Evaluate the algebraic expression d - b when b = 3, d = 12, h = 2 and r = 7.
Answers
Answer:
Step-by-step explanation:
d-b
d=12
b=3
12-3
=9
hope dis helps
which expression has the greatest value?
1. 4 - 2^-2
2. 4 - 2^2
3. 4(-2)^2
4. -4(-2)^2
Answers
3nomber is right
Is it helpfui
I think its 3! ^w^
Sawarasenai kimi wa shoujo na no?~
Joe has $6.40 in nickels and quarters. He has two more nickels than quarters. How many quarters does Joe have?
Answers
Answer:
Quaters - Q=12
Dimes - D=10
Nickels - N= 48
Step-by-step explanation:
First, notice that $6.40 = 640 cents. The corresponding linear equation and a solution is shown below in several steps:
Original equation for amount of Dimes (D):
10*D + 25*(D+2) +5*4*(D+2) = 640
Simplified as following, resulting in the answer for D:
55*D=550
D=10
thus having the amount of Quarters:
Q=12
and correspondingly, amount of Nickels:
N= 48
Answer:
Quarters = 12
And correspondingly, amount of Nickels:
Nickels = 48
Plss help mee
you need to show your work
At the school's fall bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece bought 1/6 of a pie. Each slice of pie sold for $1.00. How much money did the school make if all eleven pies were sold? (In other words, find 11 divided by 1/6 .)
Answers
Answer:
66.00
Step-by-step explanation:
eleven pies have 6 slices each
Multiply 6 by 11 to get 66
66x1.00=66.00
7% of 500 is use the percent formula A=PB A is percent of B
Answers
9514 1404 393
Answer:
35
Step-by-step explanation:
A = PB
A = (7%)(500) = 0.07×500 = 35
35 is 7% of 500
_____
You can think of the % symbol as being a shorthand way to write /100. That is, ...
7% = 7/100 = "seven hundredths" = 0.07
find the zeros of x^4-10x^3+35x^2-50x+24=0
Answers
Sorry my writing is so messy, but basically I found all possible zeros by finding the factors of 24:
(Positive or negative) 1,2,3,4,6,8,12,24
Then, using remainder theorem (when you plug potential zeros into the x values to see if the equation will equal zero) I found out that 1 made the equation equal zero, and therefore was a zero.
Then I used synthetic division to make the equation smaller (I also used 2 because I found out that it was a zero using remainder theorem, same as how I found out 1)
Once I divided it small enough to factor, I simply factored it to find the last 2 zeros
(I didn’t explain everything 100% bc I don’t know how much of this you have learned so if you want clarification on something let me know)
Answer:
x=1 or x=2 or x=3 or x=4
Step-by-step explanation:
x4−10x3+35x2−50x+24=0
Step 1: Factor left side of equation.
(x−1)(x−2)(x−3)(x−4)=0
Step 2: Set factors equal to 0.
x−1=0 or x−2=0 or x−3=0 or x−4=0
x=1 or x=2 or x=3 or x=4
Solve for Z please will give brainliest
Answers
Answer:
z=6
Step-by-step explanation:
32=12+4(z-1)=
32=12+4z-4
32=8+4z
24=4z
6=z
Which statement about this sum is true? −5 2/5+5.3
Answers
Answer:
D.It is less than 0 because the addends have opposite signs and the positive addend is farther from zero.
Step-by-step explanation:
The given expression is :
When we subtract a larger number from a smaller number, we get a negative answer as mathematically we cannot subtract a larger number from smaller, so we subtract the numbers in standard format and out a negative sign in front of the answer.
Like this given expression will become : -519.70
Now, any negative number is smaller than zero.
Therefore, the correct answer is option D.
The slope of the line parallel to the given line is
A point on the line parallel to the given line, passing through (4,2) is
The slope of the line perpendicular to the given line is
A point on the line perpendicular to the given line, passing through (-4, 2), is
Answers
Answer: 1/2
0,4
-2
-2,-2
Step-by-step explanation: took the lesson
−4y−4+(−3) .........................................................
Answers
The sum of the BLANK of the plane figure is called the perimeter
Answers
Answer:
sides
Step-by-step explanation:
The perimeter is equal to the sides of the plane figure all added together.
solve for x x/-4=-1.11
Answers
A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
are the measures of those two angles?
Answers
Step-by-step explanation:
Need to FinD :We have to find the measures of other two angles of triangle.[tex] \red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}[/tex]
We know that,
The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.Angle sum property,
The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}} [/tex]
∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.
[tex]\rule{200}{3}[/tex]
Second AnglE :
3x3 × 1030°∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.
[tex]\rule{200}{3}[/tex]
Third AnglE :
14x 14 × 10140°∴ Hence, the measure of the third angle of the triangle is 140°.
Given an equilateral triangle with side lengths 18 cm. What is the height of the triangle?
O 18 cm
O 9 cm
o 93 cm
O 183 cm
Answers
Step-by-step explanation:
If you draw an altitude of the right triangle, you get that the legs are (18/2)=9 and the height (which I'll call x) and a hypotenuse of 18.
By the Pythagorean theorem,
[tex] {9}^{2} + {x}^{2} = {18}^{2} \\ 81 + {x}^{2} = 324 \\ {x}^{2} = 243 \\ x = \sqrt{243} = 9 \sqrt{3} [/tex]
what is the volume of 1.5ft , 3ft , 5ft
Answers
Answer:
22.5
Step-by-step explanation:
To find volume, you need to multiply all of the numbers together.
1.5 ft x 3 ft x 5 ft = 22.5
Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.
What is the value of g(g(f(f(f(36)))))?
Answers
By using the definition of inverse functions, we will see that:
g(g(f(f(f(36))))) = f(36) = 25.
What are inverse functions?Two functions f(x) and g(x) are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then we can rewrite:
g(g(f(f(f(36)))))
First, we can see that:
g(f(f(f(36)))) = f(f(36))
Replacing that in our expression, we get:
g(g(f(f(f36))))) = g(f(f(36)))
And the above expression is equal to f(36), to be sure of that, let's replace:
u = f(36)
Then we can rewrite:
g(f(f(36))) = g(f(u))
And by definition, the above thing is equal to u:
g(f(u)) = u = f(36).
Finally, we conclude that:
g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25
If you want to learn more about inverse functions, you can read:
https://brainly.com/question/12220962
What is the sum of -6 4/5 and -6 4/5
Answers
Answer:
i may be correct or not, i am not sure
Step-by-step explanation:
-34/5+-34/5 is -68/5 which is 13 3/5
Answer:
-13[tex]\frac{3}{5}[/tex]
Step-by-step explanation
[tex]-6\frac{4}{5} + -6\frac{4}{5}[/tex]
calculate
-13[tex]\frac{3}{5}[/tex]
Is -13 a natural number whole number integer rational number irrational number or a real number
Answers
Answer:
-13 is an integer, a rational number and also a real number
Step-by-step explanation:
-13 is an integer, a rational number and also a real number