Given:
The vertices of the garden on a coordinate grid are (−1,5), (4,2) and (9,−4).
Each unit on the grid represents a foot and the material costs $8 per foot.
To find:
The cost for the material on the side between points (−1,5) and (4,2).
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the above formula, the distance between points (−1,5) and (4,2) is
[tex]d=\sqrt{(4-(-1))^2+(2-5)^2}[/tex]
[tex]d=\sqrt{(4+1)^2+(-3)^2}[/tex]
[tex]d=\sqrt{(5)^2+(-3)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{25+9}[/tex]
[tex]d=\sqrt{34}[/tex]
[tex]d\approx 5.83[/tex]
Now,
1 unit = 1 foot and 1 foot material costs is $8.
So, 1 unit material cost is $8.
Cost of material for 5.83 units is
[tex]5.83\times 8=46.64[/tex]
Therefore, the cost for the material on the side between points (−1,5) and (4,2) is $46.64.
Please Help me find the answer by doing it step by step! PLEASE!!! QUICK!!! THIS IS URGENT!
-3[2- (y - 5] -4 [3 (y + 1) - (6 - y) (-2)]
Answer:
Standard form:
93−45y
Factored form:
3(31−15y)
what number is 2e+204
Can someone help me please
Answer:
x = 69
Step-by-step explanation:
x+x+(x-27) = 180
3x = 207
x = 69
A car can travel 264 miles on 11 gallons of gasoline. How far can it travel on 2
gallons?
Answer:
The answer is 48 miles.
My Logic
If you divide 264 into 11, then you will get 24. 24 is the cars MPG. Then you can Multiply 24 by 2 and you get the answer. Hope this is helpful!
Find the value of x that makes the equation true: 7x = 70.
Answer: x = 10
Step-by-step explanation: 7x10 = 70
Answer:
x= 10
Step-by-step explanation:
70 divided by 7= 10
x=10
bc 10 x 7 = 70
HEELLLPP MEEEE PLZZZZ!!!!!
Use the distance formula to find base and height.
Evaluate each value expression for the given value of the variable : 5y- 8 when y=3
Reggie is asked to graph this system of equations:
3x + 4y = 8
y-5x = 2
How many times will the lines intersect?
A. There is no way to tell without graphing the lines first.
B. The lines will intersect infinitely many times, because they are
identical.
C. The lines will not intersect, because this system has no solutions.
D. The lines will intersect once, because this system has one
solution.
We will solve by graphing this system.
According to the graph bellow, the answer is D. The lines will intersect once, because this system has one solution.
Answer: D. The lines will intersect once, because this system has one solution
Step by Step Explination:
Yes it is correct because I took the test and got 100%
PLEASE HELP ASAP PSLLLSLSL look at photo
Answer:
Last one
Step-by-step explanation:
Negative one times 6r is -6r and then that eliminates two of the four. the rest is common sense tbh.... but it is the last one. Hope this helps
Stephanie started selling earrings online at a handmade shop. She makes a profit of $8.50 on each pair of earrings. If she wants to make a profit of no less than $765 this month, how many pairs of earrings does she need to sell? Write and solve an inequality to model this solution.
Answer:
90 pairs
Step-by-step explanation:
We can use clues from the problem in order to set up our inequality.
First, we know that a pair of earrings, [tex]p[/tex], costs $8.50. So, we can say that [tex]8.5p=[/tex] total profit.
That's a function we could use, but we need an inequality. Well, it says that Stephanie wants to make no less, or at least $765. This indicates that we need the 'greater than or equal to' symbol. Just replace the equal sign:
[tex]8.5p\geq 765[/tex]
Now we can isolate [tex]p[/tex] to find how many earrings she needs to sell to make a profit of at least $765.
[tex]8.5p\geq 765\\\\p\geq \frac{765}{8.5}\\\\p\geq 90[/tex]
Stephanie needs to sell at least 90 pairs of earrings.
Hope this helps!
How do I do this? And what’s the answer??
Answer:
its asking you what the slope of the line is (rise/run) and for the point at which the line crosses the y axis (verticle line)
Step-by-step explanation:
When finding the slope you count the number of units up and the number of units across. This would be -1/1 or -1 because the graph shows a scale of 100, and the slope is going down 100, and across 100. this makes the slope negative since it's going downwards. so the slope would be -100/100 which would simplify to -1.
the y-intercept is where the line crosses the y axis. if this point is below the x-axis, then the y-intercept would be negative. in this problem however, the line crosses the y-axis at the origin (0,0)
so your equation would be y=1x+0, but simplified it would be y=x (the one isnt used because there is a single x value and the +0 is gone because it holds no value)
∆CDE is an isosceles triangle with CD ≅ DE . If CD = 9x – 25, DE = 6x + 8, and CE = 10x – 73, find x
Answer:Answer: The value of x is 11 and the measure of each sides are, 74 cm,74 cm and 37 cm. Explanation: It is given that in triangle CDE is an isosceles triangle with CD congruent to DE. If CD equals 9x - 25, DE equals 6X + 8, CE equals 10 x - 73.
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
Find the volume of a cylinder with a height of 8cm and a radius of 3cm
Answer:
V≈226.19cm³
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
V = (pie) * 3 *3 * 8
V = 72 pie cm (3)
Its on a p e x
Solve 6w – 2 ≤ 10 for w.
Answer:
w greater than 2
Step-by-step explanation:
In response to very high demand, a new bike has been marked up by 25% and is now selling for $210.00. How much was the bike before the mark-up?
Answer:
210.00 divided by 4 = 52.5 then you would subtract 210 by 52.5 and you would get 157.5.
Step-by-step explanation:
Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?
We conclude that Vincent has raised a total of $7.50
how much money has Vincent raised?
We know that initially, he has 20 candy bars.
He sells 3/10 of that total number, so the number of candy bars sold is:
N = (3/10)*20 = 6 candy bars.
And sells each for $1.25, so the total amount that has Vincent raised is:
R = 6*$1.25 = $7.5
We conclude that Vincent has raised a total of $7.50
If you want to learn more about fractions:
https://brainly.com/question/11562149
#SP1
A blueprint for a house has a scale of 1:30. A wall in the blueprint is 3 in. What is the length of the actual wall?
30
60
90
120
Answer:
C.90
Step-by-step explanation:
1 inch = 30
30 * 3 = 90
My grandfather is shrinking. He decreases in size 1/4 cm each year. What is his total change in height over 5 years. Write your answer using negative numbers
Answer:
That old mans change in height is -1 1/4 over 5 years.
Step-by-step explanation:
Answer:
-5/4 cm would be the answer.
Step-by-step explanation
This is the answer because -1/4 cm multiplied by 5 years would equal -5/4 cm.
PLS I RLLY NEED HELP I MIGHT GIVE BRAINLIEST Just pls help
What is the equation in slope-intercept form of a line that is perpendicular to y=1/3x+2 and passes through the point (3, 1)?
A) y= 3x - 10
B) y=-3x + 10
C) y=-1/3x+2
D) y= 1/3x - 10
Answer:
y=3x-7
step by step explaination:
Answer:
not an answer but nice pfp
Nate bought a new pair of shoes that were on sale for 25% off. If the shoes were $5 originally, what is the sale price of the shoes?
its proportions btw
Answer:
The sale price would be $3.75
Step-by-step explanation:
5*25%=1.25
5-1.25=3.75
the sale price of the shoes would be $3.75 because 5÷4=1.25 and 5-1.25=3.75, unless you are including tax. hope you get a good grade!
What is the value of the expression 2106÷162? What is the value of the expression 2106÷162? What is the value of the expression 2106÷162?
Answer:
13
Step-by-step explanation:
The value of the expression of 2106÷162 can be calculated as follows
= 2106÷162
= 13
Hence the value of the expression 2106 ÷ 162 is 13
Annie is participating in a winner-take-all World Series of Poker tournament that costs 101010 thousand dollars to enter. The prize for winning the tournament is 500500500 thousand dollars. Annie estimates that there is a 0.5 \%0.5%0, point, 5, percent chance that she will win the tournament. Find the expected value of entering the tournament for Annie.
Answer: −7.5 thousand dollars
Step-by-step explanation: Khan Academy
Using the expected value formulae, the expected value of Annie entering the tournament is -$7950
Creating a probability distribution table :
Net amount won = (500 - 100) = 400 thousand
Amount lost = 100 thousand
X ___ : - 10,000 ____ 400,000
P(X) _ : __ 0.995 _______ 0.005
Using the expected value formulae:
E(X) = Σ[X × P(X)]E(X) = (0.995 × - 10,000) + (0.005 × 400,000)
E(X) = - 9950 + 2000
E(X) = -7950
Hence, the expected value of entering the tournament is -$7950
Learn more : https://brainly.com/question/19236072
Need help will mark brainliest
0Answer:
1) Exterior Angle Therorem
2) Isosceles Triangle Theorem
Step-by-step explanation:
La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?
Explicación paso a paso:
Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2
La pelota alcanzó su altura máxima cuando la velocidad es cero.
La velocidad se expresa como dy / dt
dy / dt = 40 - 2 (16) t
dy / dt = 40 - 32t
A altura máxima, dy / dt = 0
0 = 40-32t
-40 = -32t
t = 40/32
t = 1,25 s
Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;
y = 40t - 16t ^ 2
y = 40 (1,25) - 16 (1,25) ^ 2
y = 50 - 25
y = 25
Por tanto, la altura máxima que alcanza la pelota es de 25 m
Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.
Encontrando el máximo.
Sabemos que la ecuación de la altura es:
y = 40*t - 16*t^2
Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.
Para una parabola general:
a*x^2 + b*x + c
El vertice está en:
x = -b/(2a)
Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:
t = -40/(2*(-16)) = 1.25
Para encontrar la altura maxima evaluamos la ecuación en este valor de t:
y = 40*1.25 - 16*(1.25)^2 = 25
Es decir, la altura máxima es 25 pies.
Sí quieres aprender más sobre parabolas, puedes leer:
https://brainly.com/question/12272972
Place the following steps in order to describe how to solve the following equation?!
30 POINTS! PLEASE HELP WITH THIS QUESTION!
Answer: I think it is 8
Step-by-step explanation: Since the tree in the garden is a 24 foot shadow, you divide by the 6 foot shadow and get 4
then 4 * 4 = 16
16 / 2 = 8
So i think its 8
If a cotton candy vendor has 16 blue cones which is 50% of the total number of cones, then how many TOTAL cones does he have i need answers FAST like before the end of the week
Answer:
He has a total of 32 cones
Step-by-step explanation:
Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many favors can she make?
Answer:
13 favors
Step-by-step explanation:
Roll of ribbon = 4 1/3 feet long.
favor = 1/3 feet of ribbon
How many favors can she make?
Number of favors = Total roll of ribbon / length of each favors
= 4 1/3 feet ÷ 1/3 feet
= 13 / 3 × 3 / 1
= (13 × 3) / (3 × 1)
= 39 / 3
= 13
Number of favors = 13
Allison can make 13 favors from 4 1/3 feet of ribbon each of 1/3 feet
Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.
Answer:
5.08 inches
Step-by-step explanation:
Alyssa used a scale in which 1 inch represents 100 feet. If the actual landmark has a height of 508 feet, find the height of Alyssa's model in inches.
The scale =
1 inch = 100 feet
100 feet = 1 inch
508 feet = x inches
Cross Multiply
100 × x = 508 × 1
x = 508 × 1/100
x = 5.08 inches
The height of the model is 5.08 inches
A rectangular prism is 7 inches long 10 inches wide and 6 inches tall a what is the length of its longest diagonal to the nearest 10th of an inch
Answer:
c
Step-by-step explanation: