Answer: obtuse, scalene
Step-by-step explanation:
This triangle has an angle that is 102 degrees. 102 is greater than 90, so the triangle is obtuse. None of the sides of the triangle are the same length, so the triangle is scalene.
Hope it helps <3
Which of the following are possible side lengths of a triangle? (select all that apply) a. 1, 1, 2 b. 3, 4, 5 c. 5, 5, 11 d. 7, 8, 12 e. 4, 4, 4 f. 4, 8 ,13
Choice B
Choice D
Choice E
=================================================
Explanation:
Use the triangle inequality theorem. This is the idea where adding any two sides must lead to a result larger than the third side; otherwise, a triangle is not possible. I recommend cutting out strings of paper of these lengths to confirm that you can make a triangle or not.
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For choice A, a triangle is not possible since the first two sides add to 1+1 = 2, but this isn't larger than the third side of 2 units. All we can do really is just form a straight line and not a triangle. We can rule choice A out.
----------------------------------
Choice B is a triangle. Specifically it is a 3-4-5 right triangle that is famous with the pythagorean theorem. Note how...
3+4 = 7 is larger than 54+5 = 9 is larger than 33+5 = 8 is larger than 4so adding any two sides of this triangle leads to the sum being larger than the third remaining side. Choice B is one of the answers.
----------------------------------
Choice C is not a triangle. We have 5+5 = 10 but that isn't larger than 11. We can rule this out.
----------------------------------
Choice D is a triangle since
7+8 = 15 is larger than 127+12 = 19 is larger than 88+12 = 20 is larger than 7any two sides sum to a value larger than the third side
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Choice E is a triangle. We have an equilateral triangle with all sides the same length, and all angles the same value (60 degrees). This is another answer.
----------------------------------
Choice F is similar to choice C. We have the first two sides add to something smaller than the third side (4+8 = 12 is smaller than 13). We can rule this out.
A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Answer:
d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Step-by-step explanation:
The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc
As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated
Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased
Therefore the option d is correct
Answer:
D
Step-by-step explanation:
I got it right on the test.
Trust me
6. Trail Bike Rentals charges a $16 fixed fee plus $8 per hour for renting a bike. Matt paid $72
to rent a bike. How many hours did Matt use the bike? Write an equation to represent this
scenario and solve for the variable. (2 marks)
please please help asap!
Answer:
7 hours
Step-by-step explanation:
The total amount is the flat fee plus the amount per hour times the number of hours
16 + 8h = 72
Subtract 16 from each side
16+8h-16 = 72 -16
8h = 56
Divide by 8
8h/8 = 56/8
h = 7
7 hours
Answer:
The equation is p = 8h+16
Mike rented a bike for 7 hours
Step-by-step explanation:
[tex]equation=8h+16\\Mike\\paid \\72\\\\72 = 8h+16\\Divide\\9=h+2\\Subtract\\7=h[/tex]
Hope it helps <3
Hi! I need help with my maths the question is 69x420=? (i dont have calculator)
Answer:
69×420=28980
just use calculator
Step-by-step explanation:
i hope this will help you :)
Answer:
28,980
Step-by-step explanation:
Find the distance between 1, 4) and (4,0).
Please helpppp meee
Answer:
5
Step-by-step explanation:
Distance formula
[tex]\sqrt{ (0-4)^2 + (4-1)^2}\\\sqrt{16 + 9)}\\ \sqrt{25\\[/tex]
Simplify (-2x^3)^2 x y x y^9
- for anyone that needs this answer
Answer:
[tex] 4x}^{6} {y}^{10} [/tex]
Step-by-step explanation:
The reason it is 4x^2 for the first part is because the entirety of -2x^3 is being squared, so we need to do -2×-2 which will give us the 4 and 3×2 which will give us the 6.
It's y^10 because we have y×y^9, so we ADD the powers, giving us the power of 10.
a*a*a*a*a*a*a/a*a*a*a*a*a Rewrite the expression in the form a^n
Answer:
a¹
Step-by-step explanation:
The numerator (a*a*a*a*a*a*a) is a⁷ and the denominator (a*a*a*a*a*a) is a⁶ therefore the answer is a⁽⁷⁻⁶⁾ = a¹.
Answer:
a
Step-by-step explanation:
a*a*a*a*a*a*a/a*a*a*a*a*a
Count the number of a's in the numerator and that is the exponent
Count the number of a's in the denominator and that is the exponent
a^7 / a^6
When we divide, we subtract the exponents
a^ (7-6)
a^1
a
PLEASE HELP WITH GEOMETRY HOMEWORK!! WILL GIVE BRAINLIEST ANSWER TO THE PERSON WHO CAN GIVE ME A ANSWER WILL ALL THE WORK SHOWN TO PROVE THEIR ANSWER!!
Information needed to solve:
- Points O and P are the midpoints to the two circles
- The length between O and P is 6
-The two circles are of the same size
-DONT ASSUME ANYTHING OTHER THAN THE INFORMATION GIVEN UNLESS YOU HAVE PROOF AND EVIDENCE TO SHOW IT IS TRUE!!
Answer:
Shaded area = 6^2 * ( pi/3 - sqrt(3)/2 )
= 6.52 square units (to 2 places of decimals)
Step-by-step explanation:
see solution by same author given in
https://brainly.com/question/17023327?answeringSource=feedPersonal%2FhomePage%2F2
(question 17023327)
Please refer to the diagram for additional letters and measures.
Let
r=radius (OA and PA) of each circle
Area of sector PAOB
= (60+60)/360 * pi * r^2
=pi*(r^2)/3
Area of triangle PAB
= 2* (r cos(60) * r sin(60) /2)
= 2* ((r/2) * r (sqrt(3)/2) /2)
= sqrt(3) * r^2 / 4
= r^2 * sqrt(3)/4
Area of segment AOB
= area of segment PAOB - area of triangle PAB
= r^2 * ( pi/3 - sqrt(3)/4 )
By symmetry, area of shaded area
= area of segment AOB - area of triangle AOB
= area of segment AOB - area of triangle PAB
= r^2 * ( pi/3 - sqrt(3)/4 ) - r^2 * ( sqrt(3)/4)
= r^2 * ( pi/3 - 2*sqrt(3)/4 )
= r^2 * ( pi/3 - sqrt(3)/2 )
Since r = b, we substitute
Shaded area
= b^2 * ( pi/3 - sqrt(3)/2 )
Substitute b=6
area
= 6^2 * ( pi/3 - sqrt(3)/2 )
= 6.522197 square units
if f(x) = 3x^2-2x+4 and g(x)=5x^2+6-8 find (f+g)(x)
Answer: 8x²+4x-4
Step-by-step explanation:
(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.
3x²-2x+4+5x²+6x-8 [combine like terms]
8x²+4x-4
Please answer it now in two minutes
Answer:
no
Step-by-step explanation:
Directions: Use the acronym PANIC to find the confidenceintervals.1.An SRS of 60 women showed that the average weight of a purse is 5 pounds with a standard deviation of 1.2 pounds. Find the 90% Confidence Interval for the actual average weight of purses.
Answer:
90% Confidence Interval for the actual average weight of purses.
(4.7412 , 5.2588)
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 60
mean of the sample x⁻ = 5 pounds
Standard deviation of the sample 'S' = 1.2 pounds
Level of significance = 0.10
90% Confidence Interval for the actual average weight of purses.
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]
[tex](5 - 1.6711\frac{1.2}{\sqrt{60} } , 5 +1.671\frac{1.2}{\sqrt{60} } )[/tex]
( 5 - 0.2588 , 5 + 0.2588)
90% Confidence Interval for the actual average weight of purses.
(4.7412 , 5.2588)
Given \qquad m \angle AOC = 104^\circm∠AOC=104 ∘ m, angle, A, O, C, equals, 104, degrees \qquad m \angle AOB = 7x + 30^\circm∠AOB=7x+30 ∘ m, angle, A, O, B, equals, 7, x, plus, 30, degrees \qquad m \angle BOC = 9x + 42^\circm∠BOC=9x+42 ∘ m, angle, B, O, C, equals, 9, x, plus, 42, degrees Find m\angle BOCm∠BOCm, angle, B, O, C:
Answer:
∠BOC = 60°
Step-by-step explanation:
Given the following angles.
∠AOC=104°
∠AOB = (7x + 30)°
∠BOC= (9x + 42)°
Since all the angles have a common point at O, it can be inferred that;
∠AOC = ∠AOB + ∠BOC
104° = (7x + 30)° + (9x + 42)°
104° = 16x+72
16x = 104-72
16x = 32
x = 32/16
x = 2°
To get ∠BOC:
Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC
∠BOC = 9(2) + 42
∠BOC = 18+42
∠BOC = 60°
Select the correct answer. Which type of association is shown in this scatter plot?
→Answer:
A. strong positive
→Step-by-step explanation:
Well looking at the following scatterplot we can tell it is not negative only positive.
So we can cross out B. and C.
Looking at the dots and how close they are to creating a line we can decuct answer choice A. Because it is a strong positive.
Answer:
Moderate and Positive
The association is trending in the positive direction, and the association is not very strong.
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answer:45 I think
Step-by-step explanation:
12
y= x2 + x-2
x+ y=1
If (x, y) is a solution of the system of equations
above, which of the following is a possible value of
xy?
A) 7
B 1
C) -1
D) -12
Answer:
D,xy=-12
Step-by-step explanation:
y=x²+x-2
x+y=1
or x+x²+x-2=1
x²+2x-3=0
x²+3x-x-3=0
x(x+3)-1(x+3)=0
(x+3)(x-1)=0
either x=-3
or x=1
when x=-3
x+y=1
-3+y=1
y=1+3=4
one solution is (-3,4)
xy=-3×4=-12
if x=1
1+y=1
y=0
second solution is (1,0)
xy=1×0=0
What is a vertex . Please explain Thanks..
Step-by-step explanation: In geometry, a vertex is where two rays share a common endpoint or where they interest each other.
The rays are called the sides of the angle and
common endpoint is called the vertex.
The vertex is very important when naming angles because
the vertex is always at the center when naming the angle.
Below is an example of two rays that share a
common endpoint which is called the vertex.
PWAESE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
In the given figure, LMNO and GHJK are rectangles where GH = 1/2 LM and HJ = 1/2 MN. What fraction of the region is bounded by LMNO that is not shaded? (figure not drawn to scale)
A. 1/4
B. 1/3
C. 1/2
D. 3/4
Answer:
3/4
Step-by-step explanation:
To answer this question we must first calculate the area of GHJK:
A= GH*HJ A= (LM/2)* (MN/2) A= LM*MN/4 LM/MN is the area of LMNO So the area of LMNO is 4 times the area of GHJK A is the area of LMNO and S the area of GHJK S= A/4 A-S= A-A/4 = 3A/4 so the area that is not shaded is 3/4Please answer it in two minutes
Answer: x = 25
Step-by-step explanation:
KI is the midsegment of GH so GH = 2KI
Given: GH = x + 25, KI = x
x + 25 = 2(x)
x + 25 = 2x
25 = x
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached
In the 5th year
Step-by-step explanation:For the first year, the salary is 1.2million = 1,200,000
For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000
.
.
.
For the last year, the salary is 1.5million = 1,500,000
This gives the following sequence...
1,200,000 1,275,000 . . . 1,500,000
This follows an arithmetic progression with an increment of 75,000.
Remember that,
The last term, L, of an arithmetic progression is given by;
L = a + (n - 1)d ---------------(i)
Where;
a = first term of the sequence
n = number of terms in the sequence (which is the number of years)
d = the common difference or increment of the sequence
From the given sequence,
a = 1,200,000 [which is the first salary]
d = 75,000 [which is the increment in salary]
L = 1,500,000 [which is the maximum salary]
Substitute these values into equation (i) as follows;
1,500,000 = 1,200,00 + (n - 1) 75,000
1,500,000 - 1,200,000 = 75,000(n-1)
300,000 = 75,000(n - 1)
[tex]\frac{300,000}{75,000} = n - 1[/tex]
4 = n - 1
n = 5
Therefore, in the 5th year the maximum salary will be reached.
P(x) = 2x^4 - x^3 + 2x^2 - k where k is an unknown integer. P(x) divided by (x+1) has a remainder of 2. What is the value of k?
Answer:
k = 3
Step-by-step explanation:
Please help thank you
Answer:
a = 4
b = 11
Step-by-step explanation:
To convert the recurring decimals into fraction we will follow the following process.
Given recurring decimal is 0.36363636....
Let x = 0.363636......... (1)
Multiply this decimal with 100.
100x = 36.36363636...........(2)
Now subtract expression (1) from expression (2)
100x = 36.363636.......
x = 0.363636.......
99x = 36
x = [tex]\frac{36}{99}[/tex]
x = [tex]\frac{4}{11}[/tex]
Since, [tex]x=\frac{a}{b}=\frac{4}{11}[/tex]
a = 4 and b = 11 will be the answer.
The function f(x) = 4e* when evaluated for f(2) is:
Answer:
The function f(x) = 4e* when evaluated for f(2) is:
Step-by-step explanation:
Its slope must be m= f'(0).
f'(x) = 8e2x ⇒ m = f'(0) = 8
y - y1 = m(x - x1)
m = 8
y1 = 10
x1 = 0
cause
After substituting, what is the first step when evaluating x + 3 x minus 4.2 when x = 5?
Answer:
Multiply the 3*5
Step-by-step explanation:
x+3x -4.2
Substitute x=5
5 + 3*5 -4.2
PEMDAS states multiply first
Multiply the 3*5
5 + 15 -4.2
Answer:
a!
Step-by-step explanation:
yw
Helppp!!!! please!!!
Answer:
d. 15 square yard
Step-by-step explanation:
[tex]area \: of \: shape \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 3 \\ \\ = \frac{1}{2} \times 30 \\ \\ = 15 \: {yd}^{2} [/tex]
Draw the preimage of a triangle with coordinates T(2,1), U(0,-1) and V,(3,-3). Then use the following coordinates plane to complete the following.
PLEASE HELP!!! ASAP!!!
Answer:
Ya me tooo sorry
Step-by-step explanation:
A hairdryer transfers 36,000J in one minute, what is the power rating of the hairdryer?
Calculate the work done where 99W is used over 360s
Calculate the efficiency of a kettle which takes 100J and transfers it into 55J
Calculate work done when an object has an applied force of 5N and moves a distance of 4m
An electric fire needs 4 kW. It is switched on for 4 hours. If each kWh costs 2p, how much does it cost to run the fire?
Please help me quick I only have tomorrow left
Thank you
Answer:
1. 600 watts
2. 35640 J
3. 55%
4. 20 J
5. The cost of running the fire is 8p.
Step-by-step explanation:
1. Energy = 36 000 J , t = 1 minute = 60 seconds
Power = [tex]\frac{energy}{time}[/tex]
= [tex]\frac{36000}{60}[/tex]
= 600 watts
2. Power = [tex]\frac{work done}{time}[/tex]
⇒ work done = Power × time
= 99 × 360
= 35640 J
3. Efficiency = (Output / Input) × 100
= [tex]\frac{55}{100}[/tex] × 100
= 55%
4. Work done = Force × distance
= 5 × 4
= 20 J
5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.
Power = [tex]\frac{energy}{time}[/tex]
Energy = Power × time
= 4 × 4
= 16 KWh
The cost of running the fire = [tex]\frac{16}{2}[/tex]
= 8p
Ten friends want to play a game. They must be divided into three teams with three people in each team and one field judge. In how many ways can they do it?
Answer:
16,800 number of waysStep-by-step explanation:
Let the ten friends represents the 10 letters ABCDEFGHIJ. If they must be divided into three teams with three people in each team and one field judge, the arrangement will become (ABC)(DEF)(GHI)J
This shows that ABC, DEF and GHI are the three teams and J is the chief judge. Since each groups are now a team, we can represent everyone in each teams with the same letter except the judge as shown;
(AAA)(BBB)(CCC)J where J is the judge
Since there are 10 friends in all and there are A, B and C are repeated three times, the arrangement can be done in the following way as shown;
[tex]\frac{10!}{3!3!3!1!}[/tex]
[tex]= \frac{10*9*8*7*6*5*4*3!}{3!*6*6*1}\\ = \frac{10*8*7*6*5}{1} \\= 16,800ways[/tex]
This shows that they can do it 16,800 number of ways
help me please it is really simple but i just am young so i dont understand it T-T ill give brainly!!!! `Thanks :3
Answer & Step-by-step explanation:
The problem says that the circles represents the sum of the two rectangles. So, in order to find the circle on the left side, we are going to have to add together (4x + 3y) and (2x - y).
(4x + 3y) + (2x - y)
4x + 3y + 2x - y
Combine like terms.
So, the answer for the circle on the left is 6x + 2y
Now, let's find the bottom right rectangle. To do so, we are going to subtract (x + 4y) from (4x + 5y).
(4x + 5y) - (x + 4y)
4x + 5y - x - 4y
Combine like terms.
So, the answer for the bottom right rectangle is 3x - y
Now, let's find the bottom circle. We can do this by adding together (3x - y) and (2x - y).
(3x - y) + (2x - y)
3x - y + 2x - y
Combine like terms.
So, the answer for the bottom circle is 5x - 2y
please could someone help me with these questions?? brainliest for quickest!
Answer:
523 -61= 462
456-187=269
Step-by-step explanation:
subtract the last numbers first 3-1 which is 2 then 2-6 which is impossible so you borrow from 5 and add 10 to 2 which become 12-6 which is 6 the the first number has only 4 left because you borrowed from it which is 4 so 523-61= 462.
subtract the last number 6-7 it not possible because 6 is less than 7 so borrow from 5 then add 10 to 6 which become 16-7=9 then the second number you have 4-8 since you borrowed from 5, 4-8 is also not possible so borrow from 4 which become 14-8 which is 6 and the first number which is now 3- 1 which is 2 so all the result become 269
Given D,E midpoints
Answer: B
Step-by-step explanation:
Given that DE is the mid point. Since DE is the midpoint, it will be equal to the half value of BC. That is,
DE = 1/2 × BC
Where
DE = 3x - 5
BC = 26
Substitute the values into the equation
3x - 5 = 1/2 × 26
3x - 5 = 13
Collect the like terms
3x = 13 + 5
3x = 18
x = 18/3
X = 6
The correct option is B