Answer:
Rectangular route
Step-by-step explanation:
Given
H(-4, 3) B (2, 11) F (6, 8) C (0, 0)
Required
The type of route
First, calculate the distance between adjacent points i.e. HB, BF, FC and CH
Where
HB and FC are opposite
BF and CH are opposite
Using distance formula:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
HB
[tex]H =(-4, 3) \to (x_1,y_1)[/tex]
[tex]B = (2, 11) \to (x_2,y_2)[/tex]
[tex]HB = \sqrt{(-4- 2)^2 + (3 -11)^2}= \sqrt{(-6)^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]
BF
[tex]B = (2, 11) \to (x_1,y_1)[/tex]
[tex]F = (6, 8) \to (x_2,y_2)[/tex]
[tex]BF = \sqrt{(2- 6)^2 + (11 -8)^2}= \sqrt{(-4)^2 + (3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]
FC
[tex]F = (6, 8) \to (x_1,y_1)[/tex]
[tex]C =(0, 0) \to (x_2,y_2)[/tex]
[tex]FC = \sqrt{(6- 0)^2 + (8 -0)^2}= \sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]
CH
[tex]C =(0, 0) \to (x_1,y_1)[/tex]
[tex]H =(-4, 3) \to (x_2,y_2)[/tex]
[tex]CH = \sqrt{(0-- 4)^2 + (0 -3)^2}= \sqrt{(4)^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]
So, we have:
[tex]HB = FC = 10[/tex]
[tex]BF = CF = 5[/tex]
Sine the opposite sides are equal; We can conclude that the route is a rectangle
please check screenshot
Answer:
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
Step-by-step explanation:
The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.
Domain: {-2, -1, 0, 1, 2, 3}
Range: {-5, -3, -1, 1, 3, 5}
The government of an entity invested resources in the purchase of 40
tractors and spent $ 100,000.00 on poetry books for schools.
In another state, the government bought 20 tractors and spent $ 800,000.00
in reading books. If both governments invested the same amount of
money and the price of each tractor was the same, how much did each
tractor?_______________________
Answer: the amount of each tractor should have been 15000
Step-by-step explanation:
sorry if wrong pls don’t be mad
solve the following :
7+2x/3= 5
and
3x+4/2= 9.5
Answer:
x= 4
x= 5
Step-by-step explanation:
7 + 2(4)/ 3 = 5
7 + 2(4)/3 = 5
7+8/3 = 5
15/3 = 5
3(5) +4/ 2 = 9.5
15+4/2 = 9.5
19/2 = 9.5
The sum of 9 times a number and 7 equals 2 .
Answer:
Hey mate.......
Step-by-step explanation:
This is ur answer.....
9x + 7 = 2Hope it helps!
Brainliest pls!
Follow me! :)
Plz solve this question
Answer:
first one
Step-by-step explanation:
and is this a test?
The price of an Android phone
increased from $250 to $300. By what
percentage was the price of the
phone increased? Pick the answer below.
F 20%
H 40%
G 30%
J 50%
F
G
H
J
Answer:
F 20%
Step-by-step explanation:
Selecting two marbles from a bag containing the numbers 2,4,6,8,10,12 (with replacement) what is the probability of selecting two numbers less than 10 ?
Given:
A bag containing the numbers 2,4,6,8,10,12.
To find:
The probability of selecting two numbers less than 10.
Solution:
We have,
Total numbers = 6
Numbers less than 10 are 2,4,6,8.
Numbers less than 10 = 4
Probability of getting a number less than 10 is:
[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]
[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]
[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]
We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.
Probability of selecting two numbers less than 10 is:
[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]
[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]
[tex]\text{Required probability}=\dfrac{4}{9}[/tex]
Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].
The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:40%
Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40
Answer:
Well the equation for this would 50*.20 = ...
The first half of the answer would be 10.
BUT!
You need to subtract 10 from 50.
50-10 = 40!
There you go.
Step-by-step explanation:
el punto (4, -3) esta sobre el lado terminal del angulo 0 en posicion normal. hallar el valor de las seis razones trigonometricas de ese angulo
Answer:
Para un punto (x, y), el angulo generado entre el eje x y un rayo que conecta el origen de coordenadas con el punto es tal que:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Y las otras 3 relaciones trigonometricas son las inversas de las de arriba, entonces:
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
En este caso tenemos el punto (4, -3), es decir:
x = 4
y = -3
Solo tenemos que reemplazar esos dos valores en las seis ecuaciones de arriba:
Tan(θ) = -3/4
Cos(θ) = 4/(√(4^2 + (-3)^2)) = 4/5
Sin(θ) = -3/(√(4^2 + (-3)^2)) = -3/5
Ctg(θ) = 4/(-3) = -4/3
Sec(θ) = √(4^2 + (-3)^2)/4 = 5/4
Csc(θ) = √(4^2 + (-3)^2)/-3 = 5/-3 = -5/3
A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!
Answer:
16/27
Step-by-step explanation:
12 boys and 16 girls
She already chose a boy so now there are (11+16) = 27 possible outcomes
There are 16 favorable outcomes(girl)
so the fraction is 16/27
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
does anyone know this?
Answer:
Hello! answer: a = 24
Step-by-step explanation:
30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
This factors out to be
4(2x+5)(2x+5)
GCF is 4.
This equals 4x^2 +20x+25
[tex]\sqrt{4} \\[/tex]=2
[tex]\sqrt{100}[/tex]=10
Therefore these will be the boxes:
Blank 1: 4
Blank 2: 2
Blank 3: 10
Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.
if m1=35° and m2=75°, what is m3?
Answer:
m3 should be 70°
all internal angles of a triangle add up to 180
180-35-75 = 70
Answer:
All angles of a triangle add up to 180°.
there m1+m2+m3=180°
35+75+m3=180
110°+m3=180°
m3=180°-110°
m3=70°
Answer is A.
GEOMETRY/EASY 10 POINTS
WHATS THE AREA OF THE SECTOR?
GOD BLESS U
Answer:
[tex]Area \ of \ sector = \pi r^2 \frac{\theta}{360} = \pi \times 5 \times 5 \times \ \frac{75}{360} = 16.35 = 16.4yd^2[/tex]
option 2
PLZ IN NEED OF HELP!!
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what sea is in simplest radical form
Answer:
C = 18
Step-by-step explanation:
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form
Solution:
A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.
The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).
A right angled triangle is a triangle with one angle equals to 90 degrees.
Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:
sin30 = 9 / C
0.5 = 9 / C
C = 9/0.5
C = 18
please help me pleaseeee
Answer:
First, we can find the least common denominator for 8 and 3 which is 24.
5/8 = 15/24
1/3 = 8/24
Then we can divide 15/24 by 8/24 which is 2 1/4.
If we then do 16 divided by 2 1/4 we get 7 1/9
Answer = 7 1/9
Step-by-step explanation:
Which equation represents the word sentence shown below?
The quotient of a number band 0.3 equals negative 10.
Answer:
where are the equations?
Step-by-step explanation:
tell me and I will edit my answer to answer ur question
Answer:
Step-by-step explanation:
Please help I'm failing
Answer:
Unit rate!
Step-by-step explanation:
A unit rate is a rate that has a denominator of 1!
~ LadyBrain
2√3+4√18 in simplest radical form
Answer:
[tex]2\sqrt{3} + 12\sqrt{2}[/tex]
Step-by-step explanation:
Simplify each term.
What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?
Answer:
Surface area of a box = 293 inches ²
Step-by-step explanation:
Surface area of a box = 2(lw + lh + hw)
Where,
l = length = 7 inches
w =width = 4 1/2 inches
h = height = 10 inches
Surface area of a box = 2(lw + lh + hw)
= 2(7*4.5 + 7*10 + 10*4.5)
= 2(31.5 + 70 + 45)
= 2(146.5)
= 293 inches ²
Surface area of a box = 293 inches ²
plz help its timed!! will give brainliest
x = 7
Hope this helps!-Finnywill mark brainliest
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answer:
53°
Step-by-step explanation:
Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.
For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure
the opposite side from x is 45 cm and the hypotenuse is 53 cm
sin(x)=[tex]\frac{45}{53}[/tex]
then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])
most graphing calculators should solve it from there if you plug it in, hope this helps! :)
*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000
Answer:
[tex]61600[/tex]
Step-by-step explanation:
[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]
I need the answer pls
Answer:
s
Step-by-step explanation:
sdd
Mhanifa please help. Look at the picture attached. I will mark brainliest
Answer:
#1tangent = opposite leg / adjacent legtan ∠F = DE/ EFtan ∠F = 24/7Option D
#2Sine and cosine are same for complementary angles.
Complementary of 67° is 90° - 67° = 23°.sine 67° = cosine 23°Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).
Answer:
Function 1 has a greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of 3 because 3x is the slope of the line.
Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.
Function 3 has a rate of change of 2. You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
cos A = 24/51
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
Cos theta = adj side/ hypotenuse
cos A = 24/51
Step-by-step explanation:
We know that cosA=Base/hypontenuse
➡CosA=24/51
Reason :-This is a right angle triangle
Cos theta=Base/hypontenuse
Three consecutive integers add up to 51. What are these integers
Let the three consecutive integers be x, x+1 and x+2.
According to the question, x+x+1+x+2=51
=>3x+3=51
=>3x+3-3=51-3
=>3x=48
=>x=16
Hence, first integer = 16,
second integer = 16 + 1 = 17 and
third integer = 16 + 2 = 18.
Answer pleasseee, and explain how you got it.
Answer:
7.2
Step-by-step explanation:
6^2+4^2=c^2
36+16=c^2
52=c^2
x=7.2