Three of the paths in a city park form a right triangle, as shown on the map. Each unit on the map represents 10 meters. The city plans to plant trees along these paths.
Answers
The perimeter of the triangle is 188.1 m
How to find the perimeter of the triangle?
The perimeter of a triangle can be determined by adding the three lengths of the triangle.
From the image, the coordinates of vertices of the triangle are:
(-3, 3), (-3, -2) and (3, 3)
distance between (-3, 3) and (-3, -2) is:
3-(-2) = 5 (we use y coordinates only because x are the same)
= 50 m (Each unit on the map represents 10 meters)
distance between (-3, 3) and (3, 3) is:
3-(-3) = 6 (we use x coordinates only because y are the same)
= 60 m
distance between (3, 3) and (-3, -2) is:
= √(50² + 60²) (Pythagoras)
= 78. 1 m
Perimeter = 50 + 60 + 78.1 = 188.1 m
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Complete Question
Check attached image
Related Questions
if 100 students surveyed, 25 said they would vote for Jen for class president. If 2,000 students voted in the school's election, about how many votes should Jen receive?
A 25
B 100
C 500
D 1,900
Answers
Answer:
500 Votes
Step-by-step explanation:
25/100 = 0.25
500/2000 = 0.25
Therefore 500 students would vote for Jen.
The reason is because only a quarter of 100 said they'd vote which is found by doing 25/100 = 1/4 or 25% or .25 (all mean the same)
Apply that to 2000 by doing 2000 x 1/4 (or .25) and it should be 2000 x 1/4 = 500
14. A normal distribution has a mean of 700 and a standard deviation of 35. What is the
probability that a value selected at random is at most 630?
Answers
Answer: 0.025
Step-by-step explanation:
y=5x−2 into polar form
Answers
Answer:
r·sin Ф = 5(r·cos Ф) - 2
Step-by-step explanation:
y = r·sin Ф and x = r·cos Ф, and so
y = 5x - 2 becomes
r·sin Ф = 5(r·cos Ф) - 2
Answer:
rsin(0) = 5rcos (0) - 2
Step-by-step explanation:
Convert y = 5x - 2 to polar coordinates.
To convert to polar apply: x = r · cos (0), y = r · sin (0)
simplify 2 × n × p × 4
Answers
Answer:
8np
Step-by-step explanation:
2 x 4 = 8
8 * n * p = 8np
1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. b)
in., by cutting out square corners with side length x and folding up the sides.
Answers
Answer:
a) The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].
b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.
Step-by-step explanation:
a) The volume of the box ([tex]V[/tex]), in cubic inches, is modelled by the equation for the cuboid:
[tex]V = (3-2\cdot x) \cdot (7-2\cdot x) \cdot x[/tex] (1)
Where [tex]x[/tex] is the side length of the cutted square corners, in inches.
[tex]V = (21 - 20\cdot x + 4\cdot x^{2})\cdot x[/tex]
[tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex]
The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].
b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.
whoever has the right answers for ALL will get brainiest and all points
Answers
Answer:
1st: Equal to
2nd: Greater than
3rd: Less than
Answer:
Step-by-step explanation:
So the second problem 325 x 1 2/3 is greater then 325
and the third problem 325 x 1/4 is equal to 325A square picture frame has a perimeter of 32 inches. What is the length of the diagonal of the picture frame?
Answers
Answer:
The diagonal length is the square root of 128 so 11.31 inches
Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?
After 10 months, the loan and value of the car will both be equal to $7,500.
After 12 months, the loan and value of the car will both be equal to $7,000.
After 14 months, the loan and value of the car will both be equal to $6,500.
After 16 months, the loan and value of the car will both be equal to $6,000.
Answers
Answer:
lol
Step-by-step explanation:
a) If a/b=3/4, find: 6a+b/3a+2b
Answers
Answer:
22/17
Step-by-step explanation:
If a/b = 3/4, then a = 3 and b = 4.
6a + b/3a + 2b
Substitute the variables.
6(3) + 4/3(3) + 2(4)
Multiply 6 and 3, 3 and 3, and 2 and 4.
18 + 4/9 + 8
Add 18 and 4, 9 and 8.
22/17.
IN DESPERATE NEED OF HELP!!!! TIMED TEST!!! WILL GIVE BRAINLYEST!! No links or I will report u
Answers
Answer:
a) Slope is -4/3 y-intercept is 2
b) Slope is 2 y-intercept is -1
Step-by-step explanation:
y=mx+c
m=gradient (or in this case slope)
c=y-intercept
Which of the following is equivalent to ( 16 3/2) 1/2
Answers
Answer:16 ^ 1.5 (or 3/2) = 64
64 ^ 0.5 (or 1/2) = 8
8 should be your answer
Step-by-step explanation:
Si 1 kg de naranjas cuesta 14 pesos y al final del día el dueño de la frutería cuenta 1124 pesos por venta de naranjas, a) ¿cuántos kilogramos vendió? b) ¿cuánto cuesta comprar 3⁄4 de kg de naranjas? Si una señora compra dos naranjas cuyo peso fue de 0.3 kg, c) ¿cuánto pagó? Si en la compra de 5 kg de naranja se hace un descuento del 10%, d) ¿cuánto se paga? e) ¿Cuántos tipos de números hay en el problema?
Answers
Answer:
La respuesta a cada una de las preguntas es:
a) Se vendieron 562/7 kilogramos de naranjas.b) Comprar 3/4 de kg de naranjas cuesta 10.5 pesos.c) La señora pagó 4.2 pesos.d) Se paga 63 pesos por 5 kg de anaranja con el descuento.e) Se utilizan números racionales y números naturales.Step-by-step explanation:
a) Para calcular los kilogramos de naranjas vendidos durante el día, al tener el costo por kilogramo (14 pesos/kg) y la venta total (1124 pesos), puedes calcular de la siguiente forma:
Kilogramos vendidos = venta total / costo por kilogramoKilogramos vendidos = 1124 pesos / (14 pesos/kg)Kilogramos vendidos = 562/7 kg de naranjas.b) Para identificar el costo de 3/4 de naranja, debes multiplicar 3/4 por el valor del kg de naranja (14 pesos/kg):
Costo de 3/4 kg = (3/4 kg) * (14 pesos/kg)Costo de 3/4 kg = 10.5 pesos.c) Si la señora compra un peso total de 0.3 kg de naranja, para obtener el costo debes realizar la misma operación del ejercicio anterior, es decir, multiplicar los kilos comprados (0.3 kg) por el costo de cada kilogramo de naranja (14 pesos/kg):
Costo de 0.3 kg = 0.3 kg * (14 pesos/kg)Costo de 0.3 kg = 4.2 pesosd) Para calcular el costo de 5 kg de naranja con un descuento del 10%, debemos multiplicar el costo por kilogramo (14 pesos/kg), por el número de kilogramos comprados (5 kg), y luego por el porcentaje restante tras el descuento (90%), puesto que el total es el 100% y le restamos el 10% de descuento, nos queda el 90%:
Precio total de 5 kg de naranja tras descuento = (14 pesos/kg * 5 kg) *90%Precio total de 5 kg de naranja tras descuento = 70 pesos * 90%Precio total de 5 kg de naranja tras descuento = 63 pesos.e) De entre todos los tipos de números que hay, dentro de los ejercicios resueltos se hace uso de los números racionales (por el uso de fraccionarios) y de los números naturales (por el uso de los números enteros positivos).
Can someone help me please
Answers
Area of rectangle = l * w
4 * 5 = 20 in^2
5 * 12 = 60 in^2
7 * 11 = 77 in^2
Add them together
20 + 60 + 77 = 157 in^2
(Sorry if the picture isn’t neat)
Una pelota sale disparada desde el nivel del suelo, con una velocidad de 40 m/s y un ángulo de elevación de 50°. a) Calcule la altura máxima que alcanza la pelota
Answers
Respuesta:
Los 47.85m
Explicación paso a paso:
Altura máxima = u²sin²Ф / 2g
Dado
velocidad u = 40 m / s
Ф = 50 °
g = 9,81 m / s²
Sustituir'
H = 40²sin²50 / 2 (9,81)
H = 1600 (0,7660) ² / 19,62
H = 1600 (0,5868) /19,62
H = 938,8096 / 19,62
H = 47,85 m
Por lo tanto, la altura máxima es de 47,85 m.
Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the total area he will paint in order to determine the amount of paint to purchase. Which expression best represents the estimated area in square feet that Ivan will paint? A. 3(10) + 3(14) B. 3(10) × 3(14) C. 3 + (10 × 14) D. 3(10× 14)
Answers
Answer:
3(10 × 14) cause its basically telling you to multiply
Zane needs 20 yards of fencing to go around his rectangular yard. What are possible dimensions for Zane's yard? Select all that apply .
Answers
Answer:
1 yard by 9 yards
2 yards by 8 yards
3 yards by 7 yards
4 yards by 6 yards
Step-by-step explanation:
the perimeter of the rectangular yard needs to be 20 yards
Perimeter of a rectangle = 2 x ( length + width)
20 = 2 x ( length + width)
( length + width) = 20 /2
( length + width) = 10
The sum of the length and width should equal 10
Possible dimensions that would equal 10 are :
1 yard by 9 yards
2 yards by 8 yards
3 yards by 7 yards
4 yards by 6 yards
hey can someone tell me why 132 is wrong? and help me with the right answer pls
Answers
Answer:
∠CBA = 132
Step-by-step explanation:
Bisectors split up an angle into two identical angles
Thus, 7x - 11 = 2x + 44
This is the equation we will use to solve for x
7x - 11 = 2x + 44
step 1 add 44 to each side
44 + 11 = 55
-11 + 11 cancels out
we now have 7x = 2x + 55
step 2 subtract 2x from each side
7x - 2x = 5x
2x - 2x cancels out
we now have 5x = 55
step 3 divide each side by 5
5x / 5 = x
55 / 5 = 11
we're left with x = 11
The question is asking for the measure of ∠CBA
To find the measure of ∠CBA we plug in 11 for x in one of the given expressions and multiply that by 2 ( this is because the two angles are identical so there is no need to find the measures of both because ∠CBD≅∠ABD )
7(11) - 11
7 * 11 = 77
77 - 11 = 66
66 * 2 = 132
there are 400 3rd graders,4th,and 5th graders if 187 of the students are 3rd graders and 99 of the students are 4th graders,how many students are 5th graders
Answers
Answer:
144
Step-by-step explanation:
brainliest plz it would really help out
Answer: 114 5th graders
Step-by-step explanation:
400 total
187 3rd graders
99 4th graders
187 + 99 = 286
400 - 286 = 114
Help me with this question pls
Answers
Answer:
24
Step-by-step explanation:
The question is asking how many blueberries per day and in ounces, so we divide 3 by 2
3/2 = 1.5
Then, convert 1.5 pounds into ounces
1 pound = 16 ounces
1.5 * 16 - 24
plz help me do this
Answers
Answer:
Data set doesn't go to 17
Step-by-step explanation:
None of the numbers go to 17
Answer:
1st option. the data set doesn't GO to seventeen
Step-by-step explanation:
look at the number line. I always had trouble with this so I get where your coming from first, look at where the line is touching don't pay attention to the box yet because it's confusing the entire point of this line is to show you that there MAY have been 1 or two people who where at 0 for this data and 1 or two people who were at 15
the point here is that the bulk of the data was 11-14, but because there were less people down lower, the mean of the data is at 13, and the data is bigger (skewed) to the left.
making everything lekse true except for the first option.
What shape will result when you make a vertical cross section through the picture below?
A) Circle
B) Cylinder
C) Rectangle
D) Sphere
Answers
Answer:
rectangle
Step-by-step explanation:
Which expression is equivalent to
Answers
Answer:
it is not clear i cant see well the question
Step-by-step explanation:
Fiona deposited $900 in the bank over 2 years. She earned $60 in
simple interest at the end of the 2 years. What was the annual
interest rate?
Answers
If Fiona deposited $900 in the bank over 2 years. She earned $60 in
simple interest at the end of the 2 years then 3.33% is the annual
interest rate.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Fiona deposited $900 in the bank over 2 years.
She earned $60 in simple interest at the end of the 2 years.
We have to find the annual interest rate
I=PRT
60=900×2×T
60=1800T
Divide both sides by 1800
T=3.33%
Hence, the annual interest rate is 3.33%
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The green object below,is best defined as a ___ named____.
Answers
The green object below, is best defined as a Ray named AC.
In geometry, a ray is a part of a line that consists of a single initial point called the endpoint and extends infinitely in one direction. It can be thought of as a half-line, with one end point and the other end extending infinitely.
Rays are named using two points, with the endpoint being mentioned first.
Here, in the figure the green line has one point A and the next C and it is further extending.
Thus, the Green line is a Ray name as ray AC.
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ILL BRAINLIEST YOU
PLEASE HELP ME
Answers
solve for x
can somebody please help
Answers
Answer:
15
Step-by-step explanation:
you can easily use this for it a^2 + b^2 = c^2 where x would be c. after you plug everything in, take the square root of what you got for a^2 + b^2, that will give you x
Can someone help me with these questions
Answers
For example:
2x + 7 + 8x + 3
What you want to do is simply the expression
We can see that 2x and 8x are both coefficients
(A coefficient is a number that is going to be multiplied by a variable such as 3y, 2x, 7x and so on)
They are both like terms meaning that they can be combined
2x + 8x= 10x
Next, you want to see if you can combine anything else because our goal is to make the expression simplified.
7 and 3 can be combined because they are like terms
7+3= 10
Now that you have the new numbers I guess you can call it your answer should be
10x + 10
Hopefully this helps you answer the other questions. I did this lesson not too long ago so if you need help on anything else I can try to explain it.
Find the Area in terms of pi
Answers
Answer:
121 π
Step-by-step explanation:
A= π * r^2
r^2 = 121 * π
Which expression is equivalent to 4(3n -5)?
Answers
Answer:
12n-20
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
sorry i dont know the answer
Step-by-step explanation:
Which of the following statements is true based on the data set shown below?
median = mode
mean = median
mode = mean
Answers
Answer:
median=mode
Step-by-step explanation:
I just did it.
Answer:
median=mode
Step-by-step explanation: