Answer:
The name of the point is the circumcenter of the triangle
Step-by-step explanation:
The pool will be built at a point which is equidistant from the three points.
This means that the distance from that center point to point A equals the distance from that center point to point B which is equal to the distance from that center point to point C.
The name of this point is called the CIRCUMCENTER of the triangle
The circumcenter is equidistant from the three vertices of the triangle which are the points A , B and C in this case
C. Courtney got a remote control car for her birthday. It is a metallic
purple with chrome wheels that are 1 1/2 inches in diameter. She said to
her friend, Dylan, “My remote control car goes faster than my mom's
car on the freeway.” “No way,” said Dylan. Courtney said, “I will prove it to
you.” Courtney measured off a distance of 115 inches. Dylan said, “Okay, I
will time how long it takes your car to travel that distance. I have a stopwatch
feature on my watch.” Courtney raced her remote control car over the
115-inch distance. Dylan said, “Wow, that only took 3.21 seconds. That seems
really fast.” “See, I told you,” said Courtney. “But really how fast is it going?”
answered Dylan. Determine the speed of Courtney's remote control car and
compare its speed to that of a regular car traveling on the freeway. Explain
how you found your solution. Why might the manufacturer get away with
advertising that the remote control car Travels Faster Than Life?
please help!!!!
Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.
Step-by-step explanation:
[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]
Speed of Courtney's remote control car is: 2 mph
Courtney's remote control car is slower than an average freeway car since averagely the speed of a car on the freeway is usually 60 mph.
Given that:
Distance covered by Courtney's car = 115 inches
Time taken to cover that distance = 3.21 seconds
Converting inches to miles and seconds to hours:
[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]
Thus speed of Courtney's car can be calculated as
[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]
Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.
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Use the circle to answer the questions.
A circle with radius 5.4 centimeters.
The diameter is
cm.
The circumference in terms of Pi is
Using 3.14 for Pi, the approximate circumference of the circle is
cm.
Answer:
C = 10 π cm
Step-by-step explanation:
Diameter is 2 x radius = 2*5.4 = 10.8 cm
radius r = 5 cm
diameter d = 10 cm
circumference C = 31.4 cm
area A = 78.5 cm2
In Terms of Pi π
circumference C = 10 π cm
area A = 25 π cm²
Formulas: Circle Formulas in terms of Pi π, radius r, and diameter d
Radius and Diameter:
r = d/2
d = 2r
Area of a circle:
A = πr2 = πd2/4
Circumference of a circle:
C = 2πr = πd
Answer:
c
Step-by-step explanation:
got it right on my test
If f(x)=x^2+1 and g(x) = x-4 which value is equivalent to (f•g)(10)
Find M a
A.
49
B.
35
C.
95
D.
275
Answer:
85
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
A + B+ C = 180
A +72+ 23 = 180
Combine like terms
A + 95 = 180
Subtract 95 from each side
A +95-95 = 180-95
A =85
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2?
Answer:
[tex]2. m\angle H+m\angle J +m\angle K =180^{\circ}[/tex]
Reason: the sum of all interior angles of any triangle is equal to 180º.
Step-by-step explanation:
1) Organizing
Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given
2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:
[tex]S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}[/tex]
3) We can also say
[tex]m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}[/tex]
Similarly to the other triangle:
[tex]m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}[/tex]
4) Hence,
[tex]2. m\angle H+m\angle J +m\angle K =180[/tex]
Reason: The sum of interior angles is equal to 180º.
Answer:
B
Step-by-step explanation:
Find Four Solutions For the following Linear equations in two variables: y = 5x
Answer:
see explanation
Step-by-step explanation:
To find solutions to the equation, choose any value for x, substitute into the equation and evaluate for y, that is
x = - 1 → y = 5(- 1) = - 5 ⇒ (- 1, - 5 )
x = 0 → y = 5(0) = 0 ⇒ (0, 0 )
x = 1 → y = 5(1) = 5 ⇒ (1, 5 )
x = 5 → y = 5(5) = 25 ⇒ (5, 25 )
Thus 4 solutions are
(- 1, - 5), (0, 0), (1, 5), (5, 25)
solve 5kx+ 6=7kx for x
Answer:
A
x= 3/x
Step-by-step explanation:
5kx + 6 = 7kx
collect like term
5kx - 7kx = -6
-2kx = -6
minus cancel out
=> 2kx = 6
divide bothside by 2k
=> x = 6/2k
=> x = 3/k
Answer:
Step-by-step explanation:
its A just trust :)
Carol is y years old and her daughter is 25 years younger.find carols present age if sum of ages in 6 years time is 75
Las personas que venden computadoras en una tienda local ganan $100 en comisión por computadora por las primeras 5 computadoras que venden cada mes. Por cada computadora adicional que venden durante ese mes, la comisión por computadora es 1.5 veces la tarifa por las primeras cinco. ¿Cuál de las siguientes es la comisión total que gana una persona que venda 8 computadoras en un mes?
A. $190
B. $800
C. $950
D. $1,050 E. $1,200
Subtract 2y²+5y +8 from 6y- 2y+3.
Answer:
The answer to this problem would be :
-2y^2-y-5
Put the following temperatures in order from least to greatest (1 is the least and 5 is the greatest):
Group of answer choices
The temperature was 25 degrees below zero
The pool temperature was 78 degrees
Water freezes at 32 degrees
The low temperature in December is -3 degrees
The temperature in the refrigerator was 34 degrees.
Answer:
25 degrees below zero, -3, 32, 34, 78
Michael is an engineer and is drawing a scale model of a centrifuge for an oil company. If the centrifuge is 24 meters tall and he's using a scale of 1 centimeter=6 meters, then how many centimeters tall should the centrifuge be in the drawing?
Cristian, iris, and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?
Answer:
Model B or 1/3 of the Pizza
Answer:
1/3
Step-by-step explanation:
model 1/3
answer.
The temperature decreased from
17° on Saturday to -7° on Sunday.
What was the total change in
temperature?
Answer:
Decreased 24 degrees
Step-by-step explanation:
subtract the 17 from Saturday which gets you to 0 but it ends up being -7 on Sunday so i did 17+7 and it gives 24 so that's how much it went down
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
35/70*100 = 50 miles
Step-by-step explanation:
. Alexandro, o professor de Física, avisou aos alunos que a média bimestral seria calculada conforme o seguinte critério: Adicionam-se as notas obtidas no projeto, na prova e no trabalho em grupo e divide-se o resultado obtido por três. Laura é uma das alunas do professor Alexandre. As notas de Laura: Projeto: 5,0 Prova: 6,5 trabalho em grupo: 9,5. A) Por que o resultado deve ser dividido por 3?
Answer:
É necessário dividir por 3 para calcular a média simples das 3 notas.
Média = 7.
Step-by-step explanation:
O resultado deve ser dividido por três porque três notas com pesos iguais (projeto, prova e trabalho em grupo) foram somadas, portanto para calcular a média bimestral de Laura, a soma das três notas deve ser dividida por 3. A média de Laura é:
[tex]M=\frac{5,0+6,5+9,5}{3}\\ M=7[/tex]
Kate has a $75 gift card to a coffee shop. Each Friday, she purchases a latte for $5. She created a graph to represent the amount of money on her gift card each week. Does Kate's graph represent the situation? Why or why not? A. No, because the amount of money on her gift card should increase each week. B. Yes, because she starts with $5 on her gift card. C. No, because the graph should start at the origin D. Yes, because the amount of money on her gift card should decrease each week.
Answer:
D. Yes, because the amount of money on her gift card should decrease each week.
Step-by-step explanation:
The amount of money on the gift card decreases every Friday as it states in the problem.
Yes Kate's graph represent the situation, because the amount of money on her gift card should decrease each week. so option D is correct.
What is Graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
We can see that the graph shows that the slope is decreasing, if you got $75 and spend $5.00 each Friday, wouldn't that be decrease and Lastly, of course, they should not start at the origin as they started at $75.00.
The amount of money on the gift card decreases every Friday as it states in the given situation.
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what is the slope-intercept equation of the line below?
Answer:
4
Step-by-step example
Slop is the
For the Black Panther Trip 420 students were scheduled to go. After collecting more parent surveys, 15% more students are going on the trip. Each admission ticket cost $22.75. What was the total amount paid for all the tickets purchased?
Answer: $ 10,988.25
Step-by-step explanation:
Hi, to answer this question, first we have to multiply the original number of students scheduled to go to the trip (420) by the added students’ percentage (15%) in decimal form (divided by 100)
420 x (15/100) = 420 x 0.15 = 63 students added
Adding the number of extra students to the original number:
420+63 = 483 students (total number of students)
Finally, we have to multiply the result by the cost of each admission ticket (22.75)
483 x 22.75 = $ 10,988.25
What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
Jacob can run 9 miles in 1 hour and
15 minutes. What is his average running speed per minute?
Answer:
0.12 miles per minute
Step-by-step explanation:
9/75 is 0.12. 9 miles in 75 minutes
Average speed of Jacob is 0.12 miles per minute.
What is unitary method ?Unitary method is a method of finding value of a single unit.After finding value of a single unit we can determine values of any given unit.
According to the given question Jacob can run 9 miles in 1 hour and
15 minutes.
We know 1 hour is 60 minutes.
∴ 1 hour and 15 minutes is
= (60 + 15) minutes.
= 75 minutes.
So, Jacob can run 9 miles in 75 minutes.
∴ In one minute Jacob can run 9/75 miles shich is
= 0.12 miles per minute.
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Bryan’s golf coach suggested he take some golf lessons. The pro at windy fairways charges $20.00 per month plus $10.00 per lesson. The pro at sunny sands charges $100.00 per month for unlimited classes. How many classes does he have to take for both pros be the same price?
Answer:
8
Step-by-step explanation:
(100 - 20) / 10 = 8
Answer: He has to take a class per month from the both pros
Step-by-step explanation:
help pls tysm
What are two examples of financial institutions?
Answer:
The major categories of financial institutions include central banks, retail and commercial banks, internet banks, credit unions, savings, and loans associations, investment banks, investment companies, brokerage firms, insurance companies, and mortgage companies
Step-by-step explanation:
sorry i did not put 2 examples, i put too many examples lollll
Answer:
There are two primary types of financial institutions non-depository and depository.
Step-by-step explanation:
an insurance company would fall under the non-depository group, and a credit union would be defined as a depository institution.
Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis?
_____ of the basic trigonometric functions have inverse functions. None, 3, 6, 4
Answer:
6
Step-by-step explanation:
There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.
If p(y) = y^3+3 y^2-5y-6, then p (-3) = ------------------
Answer:
9
Step-by-step explanation:
[tex]p(y)=y^3+3y^2-5y-6 \\\\p(-3)=(-3)^3+3(-3)^2-5(-3)-6= \\\\-27+27+15-6= \\\\9[/tex]
Hope this helps!
Answer:
p(-3)=9
Step-by-step explanation:
This question ask us to find p(-3), or what p(y) is when y is equal to -3.
We know that:
p(y)= y^3+3 y^2-5y-6
We want to find p(-3), so substitute -3 in for every y.
p(-3)= (-3^3)+3(-3^2)-5(-3)-6
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve the exponents first (-3^3 and -3^2)
-3^3=-3*-3*-3= -27
-3^2= -3* -3= 9
p(-3)= -27+ 3(9) -5(-3) -6
Next, multiply 3 and 9
p(-3)= -27+27-5(-3)-6
Then, multiply -5 and -3
p(-3)= -27+27+15-6
-27 and 27 equal 0, so they cancel each other out.
p(-3)=15-6
p(-3)= 9
Use factoring to solve
2x^2-17x-35=0
Answer:
This does not factor
Step-by-step explanation:
2x^2-17x-35=0
Since the x^2 has a coefficient of 2
(2x ) ( x )
Looking at the factors of -35
-1 35 1, -35
-5 7 5, -7
We need to get to -17
You cannot factor this
-
40 points. Topic: Solving a word problem using a system of linear equations of the form y = mx + b A phone company offers two monthly plans. Plan A costs $8 plus an additional $0.17 for each minute of calls. Plan B costs $21 plus an additional $0.12 for each minute of calls. For what amount of calling do the two plans cost the same? ____minutes What is the cost when the two plans cost the same? $_____
Answer:
The plans will cost the same for $260 minutes of calling. These minutes will cost $52.20
Step-by-step explanation:
Plan A: $8 + ($0.17/min)t
Plan B: $21 + ($0.12/min)t
Equate these, obtaining $8 + ($0.17/min)t = $21 + ($0.12/min)t, or:
($0.17/min)t - ($0.12/min)t = $13, or
($0.05/min)t = $13 , so t = 260 minutes. The plans will cost the same for $260 minutes of calling.
Find the cost in this situation: It is $21 + ($0.12/min)(260 min), or $52.20
An airplane lands at an airport 60 miles east and 25 miles north of where it took off, how far apart are the two airports?
Answer:
20 miles
Step-by-step explanation:
Is parallel to ? Explain. Yes, because both lines have a slope of . Yes, because both lines have a slope of . No, because the slopes of the lines are not equal. No, because the slopes of the lines are not opposite reciprocals of each other.
Answer:
I'd need to see the lines but basically, parallel lines have to be directly across from each other and they have to be the same size, I put a pic so you can see what I mean
Hope this helps you
Answer:
C) yes, because both lines have a slope of 2/3
Step-by-step explanation:
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