We Know that in geometry the Cos/Sin = Cotangent. And the abbreviation for this is cotø
The vertices of a triangle are A(-2, 1), B(2, 2) and C(6, - 2).
Find the equation of the altitude of AD drawn from A to BC.
Answer:
The equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
Step-by-step explanation:
Let m₁ and m₂ be the slope of line AD and BC respectively.
Now, AD⊥BC
∴ m₁ × m₂ = -1
be the slope of line AD and BC respectively.
⇒ m₁ = -1/m₂ → (A)
Finding the slope of BC using points
B(2, 2)
C(6, - 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]
[tex]m_{2} =\frac{-2-2}{6-2}[/tex]
[tex]m_{2} =-1[/tex]
On substituting the value of m₂ in equation (A)
m₁ = -1/m₂
= -1/(-1)
= 1
We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be
[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]
[tex]y-1=x+2[/tex]
[tex]y=x+3[/tex]
Therefore, the equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
a balloon dress 140 miles towards the lessons 45 seconds then it suddenly changes and the win flies 90 miles towards the east and that's 25 seconds What's the total distance it traveled
what is the slope of the line through [-1,2] and [2,-3]
Answer:
-3/5
Step-by-step explanation:
to figure that out you have to do y^2 - y^1/ x^2 - x^1
2-(-1)/ -3 - 2
= 3/-5
=-3/5
100 POINTS GEOMETRY QUESTION PLEASE ANSWER !!!!!!
Answer:
Step-by-step explanation:
ABC have sides: 5, 7 and 10
5^2 + 7^2 = 25+47 = 72 < 10^2
so triangle ABC is obtuse
JKL has sides: 12, 35 and 37
12^2 + 35^2 = 144 + 1225 = 1369 = 37^2
so triangle JKL is right-angled
PQR has sides 12, 10 and 16
12^2 + 10^2 = 144 + 100 = 244 > 16^2
so triangle PQR is acute
Answer:
Step-by-step explanation:
missing the Q: it asks 2 classify the triangles.
so the ans:
ABC - obtuse
JKL - right-angled
PQR - acute
Mr. Stack and Coach Pugh are racing down the highway. Coach Pugh is going five miles more an hour than twice Mr. Stack's speed. If Coach Pugh is going one hundred and five miles and hour, how fast is Mr. Stack going?
Answer:
50
Step-by-step explanation:
2(Mr stack's speed) = Coach Pugh's speed - 5mph
Mr stack's speed = (105mph - 5mph)/2
Mr stack's speed = 100mph/2
Mr stack's speed = 50mph
Which two points should the line of best fit go through to best represent the data in the scatter plot?
A. (1,3) and (2,7)
B. (1,3) and (6,13)
C. (3,8) and (5,12)
D. (5,12) and (6,13)
Answer: the answer is c I think
Step-by-step explanation:
40 - 2× 3². What the answer
I believe the answer is 22!
Answer:
The answer is 22
Step-by-step explanation:
40-2(3^2)
= 40 - (2)(9)
= 40 - 18
= 22
Hope this helps
What is the quotient of (4x2 – 15x + 9) = (x – 3)?
4x - 3
4x + 3
3x - 4
3x + 4
Answer:
Step-by-step explanation:
(4x^2-15x+9) ÷ (x-3)
4x-3
What is the slope of the line that passes through the points (2, 6) and (-1, -9).
1. True False 3(2 + 4) = 3 x 2 + 4
2. True False 6(10 + 5) = 6 x 10 + 6 x 5
3. True False 7(20 + 8) = 7 + 20 x 8
4. True False 4(5 + 10) = 20 + 10 5. True False 2(6 + 11) = 12 + 22
Answer:
1. False
2. True
3. False
4. True
5. True
Answer:
Step-by-step explanation:
1. Fasle
2. True
3. False
15 people working 5 hours per day can make 30 units of a product in 10 days. Assuming all other factors remain constant and people of the same efficiency are used to make the same products, in how many days can 10 people make 10 units of the product if each of them works 10 hours per day?
Answer:
I don't really understand it very well
It will take 10 people working 10 hours per day about 2.5 days to make 10 units of the product.
From the statement of the question; 15 people working 5 hours per day can make 30 units of a product in 10 days. Hence, the number of units that can be made in a day is;
Number of units per day = (15*5*10)/30
= 25 units/day
Now; if 10 people make 10 units, working 10 hours per day, it will take them x number of days.
x = (25*10)/10*10
x = 2.5 days
Learn more: https://brainly.com/question/22873736
Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip
Solve the system of equations by substitution.
x + y = 40
y = 9x
The solution of the system is?
In triangle ABC, AB=5cm, AC = 10cm, and BC = 12 cm
Determine the size of the largest angle.
Answer:
The largest angle is <B.
Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.
This is a property in geometry.
Step-by-step explanation:
Please give me Brainlest!
PLS HELPS ME!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1).
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
what is the slope of the line through the points (3,7) and (5,15)?
a. 2/5
b. 1/4
c. 4
d. 5/2
Answer:
C. 4
Step-by-step explanation:
The formula of slopes is: y2 - y1/x2 - x1
m = y2 - y1/x2 - x1
m = 15 - 7/5 - 3
m = 8/2
m = 4/1
m = 4
The slope of the line through the points (3,7) and (5,15) is 4 .
What is slope of line passing through two points ?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
Δy = change in y coordinate = y2 - y1
Δx = change in x coordinate = x2 - x1
m = Δy/Δx
where,
m is the slope
According to the question
Points (3,7) and (5,15)
therefore,
(x1,y1) = (3,7)
(x2,y2) = (5,15)
Now ,
The slope of the line
Using slope formula
m = Δy/Δx
Δy = y2 - y1
Δy = 15 - 7
Δy = 8
Δx = = x2 - x1
Δx = 5 - 3
Δx = 2
Therefore,
m = [tex]\frac{8}{2}[/tex]
m = 4
Hence, the slope of the line through the points (3,7) and (5,15) is 4 .
To know more about slope of line passing through two points here:
https://brainly.com/question/27897581
#SPJ2
On Monday, 6 out of every 10 people who entered a store
purchased something. If 1,000 people entered the store on
Monday, how many people purchased something.
PLEASE HELP!! and if you know the awnser can you tell me how you got it pleasee thank youuu!
Answer:
600 people
Step-by-step explanation:
It’s under by 4 so it would be under by 40,400,4000 ect
Answer: 600 people
Step-by-step explanation: If 6 people out of 10 people bought something then just multiply both numbers by 100, as there are 2 more 0's in 1000 than 10, hope this helps :)
please , first click on the image then answer me the two questions
Answer:
Step-by-step explanation:
(m*2)+4=
b+(b*2)+1=
Round 8250 to the nearest hundred.
Answer:
8300
Step-by-step explanation:
i believe it is 8300 but if im wrong let me know
A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT
Answer:
The inner surface area is: 1923.25 cm²
Step-by-step explanation:
A hemispherical bowl is made of brass has an inner diameter of 35 cm.
i.e. d = 35 cm
As the radius is basically half of the diameter.
r = d/2
= 35/2
= 17.5 cm
The inner surface area of a hemispherical bowl = 2πr²
= 2(3.14)(17.5)²
=1923.25 cm²
Therefore, the inner surface area is: 1923.25 cm²
Write the ratio 12 to 18 as a fraction in simplest form.
x to y can be expressed as a fraction this way: x/y.
Let x = 12
Let y = 18
12/18
We can now reduce to lowest terms.
Dividing 12 and 18 by 6, we get 2/3 as the final answer.
The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:
12 ÷ 6 = 2
18 ÷ 6 = 3
Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To know more about simplified fraction:
https://brainly.com/question/29123858
#SPJ6
Is BAK ~ JOL? Explain your reasoning.
Answer:
Since the ratios are not equal the triangles are not similar
Step-by-step explanation:
Triangle Similarity
For both triangles to be similar, their corresponding side lengths should be proportional by the same scale factor.
Triangle BAK has side lengths: BA=60, AK=38, and KB=36
Triangle JOL has side lengths: JO=50, OL=28, and LJ=26.
Calculating the ratios of the corresponding side lengths:
BA/JO=60/50=1.2
AK/OL=38/28=1.36
KB/LJ=36/26=1.38
Since the ratios are not equal the triangles are not similar
HELP MEEEE
Which of the three following graphs display the same data?
County Voter Turnout
(thousands)
County Voter Turnout
(thousands)
110
107
110
103
99
100
97
98
105
1.
II.
90
100
80
70
95
1992 1996 2000 2004 2008
1992 1996 2000 2004 2008
County Voter Turnout
(thousands)
Cuvanog
County
Answer:
Step-by-step explanation:
I cant see the third but I know the first and second are the same
The bar graph and the line graph display the same data.
What is a bar graph?A bar graph is a type of chart that displays data as a series of bars or columns, with each bar representing a category or group and the height or length of the bar corresponding to the value or frequency of the data.
We have,
We see that,
Bar graph:
Year Voters turnout
1992 99
1996 107
2000 103
2004 97
2008 98
Line graph:
Year Voters turnout
1992 99
1996 107
2000 103
2004 97
2008 98
Now,
This means that the bar graph and the line graph are the same.
Thus,
The bar graph and the line graph display the same data.
Learn more about bar graphs here:
https://brainly.com/question/31158676
#SPJ5
Which word describes the relationship of the points (3, 1)
and (3, 6)?
O A) collinear
OB) parallel
OC) perpendicular
OD) coincident
Answer:
where is the diagram dude
i think u wolud be having a digram of it
Write an equation: Gianna finds $20 on the floor, and she starts saves her allowance
of $5 every week.
Answer:
5x +20
Step-by-step explanation:
Multiply and simplify the following complex numbers:
(5 – 5i) . (-3+5i)
Step-by-step explanation:
(5 – 5i) . (-3+5i)
=-15+25i+15i-25i²
=-25i²40i-15
Answer:
-25i^2+10i-15
Step-by-step explanation:
(5 – 5i) . (-3+5i)
foil
1)5*-3=-15
2)5*5i=25i
3)-5i*-3=15i
4)-5i*5i=-25i^2
put that all together
-25i^2+15i+25i-15
simplify
-25i^2+40i-15
Nila bought a "buy-one-take-one" bag. She paid Php 1, 256. How much did each bag cost
Answer: Php 628
Step-by-step explanation:
Nina got two bags but paid for the price of one according to the sale.
The cost of each bag will therefore be the total price divided by 2 which is;
= 1,256/2
= Php 628
Yea I need help
I’ll give 20 points
Answer
Its the 3rd option
Step-by-step explanation:
Please help meeeeeeeee
Answer:
m <4= 57 degrees
m<5= 123 degrees
m<6= 35 degrees
I hope this helps and good luck!
Answer:
m∠4 = 57°
m∠5 = 123°
m∠6 = 35°
Step-by-step explanation:
m∠4 ≅ ∠57°
Therefore m∠4 = 57°
Following this rule of thumb
m∠6 ≅ 35°
m∠6 = 35°
m∠5 = 180 - 57
m∠5 = 123
Its hard to explain given the fact that I cant quite point to each angle
Hope this helps
Isabella is buying clothes. There is a 5% sales tax added to all purchases. Before tax, the cost of the clothes is $60. How much tax will be added to the clothes?
Answer:12
Step-by-step explanation: