The triangle does not represent aright-angled triangle
The coordinates of the triangle are given as:
[tex]\mathbf{A = (4,4)}[/tex]
[tex]\mathbf{B = (5,6)}[/tex]
[tex]\mathbf{C = (8,2)}[/tex]
Start by calculating the slopes of the lines that pass through the vertices of the triangles using:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_ 2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m_{AB} = \frac{6- 4}{5 -4}}[/tex]
[tex]\mathbf{m_{AB} = \frac{2}{1}}[/tex]
[tex]\mathbf{m_{AB} = 2}[/tex] --- the slope of line AB
[tex]\mathbf{m_{CB} = \frac{6- 2}{5 -8}}[/tex]
[tex]\mathbf{m_{CB} = \frac{4}{-3}}[/tex]
[tex]\mathbf{m_{CB} = -\frac{4}{3}}[/tex] --- the slope of line CB
[tex]\mathbf{m_{AC} = \frac{4- 2}{4 -8}}[/tex]
[tex]\mathbf{m_{AC} = \frac{- 2}{-4}}[/tex]
[tex]\mathbf{m_{AC} = \frac{1}{2}}[/tex] --- the slope of line AC
None of the slopes have the following relationship with another slope
[tex]\mathbf{m_1 = -\frac{1}{m_2}}[/tex] --- condition for perpendicular line
Hence, the triangle is not a right-angled triangle
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Find 1*2+2*3+3*4+...100*101
Answer:
What kind of mathematics is this?
HELP ME PLEASE!!!!!!!!!!!!
Answer:
Your first equation y=1/2(1+0.3)^t is going to be growth
Your second equation y=0.3(0.95)^t is going to be decay
Your third equation y=((1+0.03)^1/2)^2t is going to be growth
your fourth equation y=200(0.73)^t is going to be decay
your last equation y=4(1/4)^t is going to be decay
Step-by-step explanation:
You can find this by graphing each of you equations on desmos
Answer:
Step-by-step explanation:
See attachment
help me with this math question pls
Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
Mr. Chaplin measured his son’s rectangular bedrooms for new carpeting. Whose bedroom has the greatest area?
George’s bedroom 3.5 meters by 4.4 meters
Steven’s bedroom 3.8 meters by 3.8 meters
Andy’s bedroom 3.6 meters by 4.1 meters
Answer:
Step-by-step explanation: multiply each and then you choose which one is greater
which is George’s bedroom 15.4
The area of George's bedroom is the greatest with 15.4 sq meters.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
George’s bedroom 3.5 meters by 4.4 meters,
∴ The area of George's bedroom is (3.5×4.4) sq meters.
= 15.4 sq meters.
Steven’s bedroom 3.8 meters by 3.8 meters,
∴ The area of Steven's bedroom is (3.8×3.8) sq meters.
= 14.44 sq meters.
Andy’s bedroom 3.6 meters by 4.1 meters.
∴ The area of Andy's bedroom is (3.6×4.1) sq meters.
= 14.76 sq meters.
So, the area of George's bedroom is the greatest.
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Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.
Find the missing angle measurement in each set of supplementary angles.
Answer:
126°
Step-by-step explanation:
180-54 = 126
Supplementary angles form 180°. Let's take the missing angle as 'x'.
54° + x° = 180°
x = 180° - 54°
x = 126°
=》 Angle LJK = 126°
______
RainbowSalt2222 ☔
19x+5+16x=180
I need help with this I don’t understand
Hello!
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19x+5+16x=180
First, add the x's together:
35x+5=180
Now, subtract 5 from both sides:
35x=180-5
35x=175
Divide both sides by 35 to isolate x:
x=5
Hope you find my answer helpful! Please give the crown if you do! (:
~SparklingFlower
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Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?
Answer:
24,880
Step-by-step explanation:
A= where P is the initial amount, r is the intrest rate as a decimal fraction, and t is the time in years. Here we have:
A= 11,000e(0.048x17) = 24,875.80
round and you get 24,880
i hope this helps
Please help me with this question
I can't figure it out and please answer all of it
Step-by-step explanation:
1. False
2. True
3. True
4. False
Answer:
a. false
b. true
c. true
d. false
Step-by-step explanation:
hope this is right
(if not tell me in the comments and i will try to help you best i can)
GIVING BRAINLIEST!!!
A pole is being decorated with 15-meter ribbons that are strung from the top of the 7.2-meter pole to a point on the ground. Which is the approximate measure of the angle formed by the ribbon and the pole?
The angle formed by the ribbon and the pole is 29°
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle formed by the ribbon and the pole.
Hence:
[tex]sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o[/tex]
The angle formed by the ribbon and the pole is 29°
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A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.
Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.
Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{11}{4}[/tex]
Tan θ = 2.75
θ = [tex]Tan^{-1}[/tex] 2.75
= 70.0169
θ = [tex]70^{o}[/tex]
Considering triangle formed by the tower and the stake to determine the value of l, we have;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]70^{o}[/tex] = [tex]\frac{23}{l}[/tex]
l = [tex]\frac{23}{Cos 70^{o} }[/tex]
= [tex]\frac{23}{0.3420}[/tex]
l = 67.2515
l = 67 feet
The length of the guy wire is 67 feet.
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4 1/4-2 3/5 what is the answer to this.
Answer:
1.65
Step-by-step explanation:
A rectangle has a length at least four more than five times the width. If the
perimeter is at least 44 units, find the least possible width.
Answer:
width of 3 units
Step-by-step explanation:
let 'w' = width
let '4+5w' = length
P = 2l + 2w
44 = 2(4+5w) + 2w
44 = 8 + 10w + 2w
36 = 12w
w = 36/12
w = 3
a
Piper is going to use a computer at an internet cafe. The cafe charges $0.60 for every
minute using a computer on top of an initial charge of $6. Make a table of values and
then write an equation for C, in terms of t, representing the total cost of using a
computer for t minutes at the internet cafe.
Number of Minutes Total Cost to Use Computer
0
1
2
3
$6.60 because 6.00 + 0.60 = 6.60
I need help please..
Answer:
y=-1/2x+1
Step-by-step explanation:
the slope is -1/2 and y intercept is 1 so we plug it in to y=mx+b
common factor of 24 plz
Hey there!
Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.
24 = 1 × 2 × 2 × 2 × 3
24 = 2³ × 3 × 1
1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
Hope it helps ya!
hlp me with this math problem
Answer:
0.5l+0.2s
Step-by-step explanation:
0.10x5l equals 0.5l
0.10x2s equals 0.2s
hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb
Answer:
the answer to hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb is hdshdjsh df ejnjg grkejfiejfirnigjre
Step-by-step explanation:
you have to multiply hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb by skjdkahdjhs to get jskhijdfkjd then multiply it by sijdikjakdj9uie. the answer would be hdshdjsh df ejnjg grkejfiejfirnigjre.
Solve for the value of t (photo)
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
49 red marbles
Step-by-step explanation:
We should first make 5/12 have a base of 84, so that'll be
(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49
DUBS
Please consider giving me a brainliest! Thank you.
What is 25/9 as a mix fraction?
Answer: 2 7/9
Step-by-step explanation:
Answer: 2 7/9
Step-by-step explanation:
First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.
Model with Two-Step Inequalities: Quiz! (ONLY 4 QUESTIONS PLS DONT PUT LINK :< )
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.
How many seconds, s, will it take for the balloon to drop to below 215 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
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QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _______ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
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QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer to complete the inequality.
p__
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Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.
Which inequality can Robbie use to determine how many shirts, s, he can buy?
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Answer:
For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler fewer than 10.1 minutes.
Step-by-step explanation:
choose all the pairs of lines that are parallel.
1. line UV and line VY
2.line UX and line WZ
3.line VY and line WZ
4.line YZ and line WZ
5.line UV and line WZ
6.line XZ and line VW
7.line XY and line YZ
Answer:
2.lineUX and lineVY3.lineVY and lineWZA square has an area of 146.41m2 work out the premeter of the square
Suppose that one of sides is x :
Area = x²
thus :
[tex]146.41 = {x}^{2} [/tex]
[tex]x = \sqrt{146.41} [/tex]
[tex]x = 12.1[/tex]
_____________________________________________
Perimeter = 4x
[tex]p = 4 \times 12.1[/tex]
[tex]p = 48.4[/tex]
The Perimeter of Square is 48.4 m.
What is Area and Perimeter of Square?The Area of square is the product of the side.
Area of Square = side x side
and, The Perimeter of Square is 4 times the side of square
Perimeter of Square = 4 x side
Given:
Area of Square = 146.41 m²
Now, Area of Square = side x side
Area of Square = side²
side² = 146.41 m²
side = √146.41 m²
side = 12.1 m
Now, the Perimeter of Square = 4 x side
= 4 x 12.1
= 48.4 m.
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can 22.75 be rounded off to 23.5?
(im not smart pfft)
Answer:
No
Step-by-step explanation:
22.75 can be rounded to:
22.8
23
20
Answer:
no only 22.8
Step-by-step explanation:
This is slopes is this supposed to be negative or positive????
PARALLEL PERPENDICULAR OR NEITHER
Answer:
Parallel
Step-by-step explanation:
Using these points, we can determine that the equation is as follows:
Line B: y = -2/3x + 7/3
And since Line A has the same slope, it would make Line A's equations like this:
Line A: y = -2/3x - 11/3
This makes these equations Parallel to each other because they have the same slope with different y-intercepts.
Translate the following phrase into an inequality:
"A number n minus 3.5 is less than or equal to 4."
PLEASE HELP I HAVE 6 MATH MISSING ASSIGNMENTS, I HATE HIGH SCHOOL
Answer:
The term "at least" means the lowest number you can have. In other words, you cannot have a number less than that point. So we use the greater than or equal symbol.
x - 3 ≥ - 5
Add 3 on both sides of the inequality.
x ≥ -2
x is any number greater than or equal to -2.
If the term was "at most", then that is the highest number you can have, and you can go no higher than that. In this case, we would have used the less than or equal to symbol.
These terms are important to understand when working with inequalities.
The value of the inequality form of the phrase "A number n minus 3.5 is less than or equal to 4." is (n - 3.5) ≤ 4 .
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that;
The phrase is,
"A number n minus 3.5 is less than or equal to 4."
Now it can be written in inequality form as,
(n - 3.5) ≤ 4
Therefore, the inequality is,
(n - 3.5) ≤ 4
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product of the polynomial 5x3 + 9x2 + 6x + 1 and the monomial x ?
Answer:
5x^4+9x^3+6x^2+x
Step-by-step explanation:
please answer fast
10 marks
Answer:
AB = 5.2 cm , ED = 5 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
(a)
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
13.5 × AB = 70.2 ( divide both sides by 13.5 )
AB = 5.2 cm
-------------------------------------------
(b)
[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
6 × AD = 54 ( divide both sides by 6 )
AD = 9
Then
ED = AD - AE = 9 - 4 = 5 cm