Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map they are marked with coordinates of -2,2) 1,2) 1,-2) and -2,-2 if rach unit represents 1 mile find the perimiter of the trail in miles using the coordinates
Answer:
The perimeter is 14 units
Step-by-step explanation:
Given
[tex]A = (-2,2)[/tex]
[tex]B = (1,2)[/tex]
[tex]C = (1,-2)[/tex]
[tex]D = (-2,-2)[/tex]
Required
Determine the perimeter
To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.
Distance (d) is calculated using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
For AB
[tex]A = (-2,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]B = (1,2)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3[/tex]
For BC
[tex]B = (1,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]C = (1,-2)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4[/tex]
For CD
[tex]C = (1,-2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]D = (-2,-2)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3[/tex]
For DA
[tex]D = (-2,-2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]A = (-2,2)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4[/tex]
So, the perimeter (P) is:
[tex]P = AB + BC + CD + DA[/tex]
[tex]P = 3 +4 + 3 + 4[/tex]
[tex]P = 14[/tex]
The perimeter is 14 units
Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14
A. 18.84
B. 28.26
C. 91.06
D. 113.04
Answer:
B. 28.26
Step-by-step explanation:
Bob order 151/2 pound of cherrys fron the farm,this year they want to order 1 1/4 more pound but then 2/5 of the order they want blue berrys what is the percent
Answer:
Percentage of cherries = 60 %
Percentage of berries = 40 %
Step-by-step explanation:
He orders 15 1/2 pounds every year.
He wants more= 1 1/4 pounds
So the total pounds = 15 1/2 + 1 1/4
= 15 + 1 + 1/2 + 1/4
= 16 + (2+1)/4
= 16 + 3/4
= 16 3/4 pounds
Out of 16 3/4 pounds they want 2/5 part to be of blue berries.
So blue berries = 16 3/4 * ( 2/5)
= 67/4 * ( 2/5)
= 67/10 = 6 7/10 pounds
Amount of cherries= 16 3/4- 6 7/10
= 10 3/4- 7/10
= 10 (15- 14)/20
= 10 1/20 pounds
Percentage of cherries = Amount of cherries/ Total amount * 100
= 201/20 / 67/4 *100
= 201/20 * 4/67 *100
= 201/335 *100
= 60 %
Percentage of berries = 100- 60 = 40 %
Marisol ears $5 more than Twice what Diego earns babysitting. Let d represent the amount Diego earns, and m represent the amount Marisol earns. Which equation shows how much Marisol earns?
Step-by-step explanation:
this is equation......................
Find the length of AC, correct to 2 decimal places.
Hello!
This is a question relating trigonometry to unknown sides.
Here we can use the law of sines, which state that if a triangle is a right triangle, the ratio between a side and the sin of its opposite angle will be equal to any other ratio of the same type.
This means that we can set up this equation.
[tex]\frac{17}{sin(90)}=\frac{AC}{sin(38)}[/tex]
[tex]AC=17sin(38)[/tex]
Be sure to be on degrees if you're on a calculator.
[tex]AC=10.47[/tex]
Hope this helps!
6.
a rectangular room measuring 5.75m by 6.5 in to be covered by whole square tiles,
Calculate the size of each tile and the number of tiles required.
(3mks)
Answer:
Below.
Step-by-step explanation:
The dimensions are 5.75m * 6.5 m
= 575cm * 650 cm.
Finding the GCF:
575 = 5 * 5 * 23
650 = 5 * 5 * 26
- so t he Greatest Common Factor of these 2 is 25cm.
575 / 25 = 23
650 / 25 = 26.
So we need 23 tiles along the width of the room and the length will have 26 tiles.
Each tile with be 25cm * 25 cm. in size and the number of tiles = 23*26
= 598.
hey i just need an answer and possibly a step by step thanks !!!
Answer: 1517.54
Step-by-step explanation:
So we can divide solving this question into two parts: the 2% compound interest and the 5% compound interest.
We know that the compound interest equations is A = P(1+r/n)^nt where:
A is final amount
P is principal (initial) amount
r is interest rate
n is number times interest compounded
t is number of time periods
Given this, in the 2% compound we know:
A = ?
P = 1200
r = 2%
n = 1 (because it didn't say how many times compounded so we assume 1)
t = 2
This becomes:
A = 1200 (1 + (0.02/1))^ 1 * 2
A = 1248.48
Because we switching to 5% from 2%, we can assume that the final amount from the 2% will be the initial amount in the 5%. Thus:
A = ?
P = 1248.48
r = 5%
n = 1
t = 4 (because there were 6 years in total and we used 2 years for 2%)
This becomes:
A = 1248.48 (1 + (0.05/1))^ 1 * 4
A = 1517.54
Central and inscribed angle practice
Answer:
sorry
Step-by-step explanation:
I don't know what you want , do you want to know how to construct an inscribed angle or what
multiple choice pls help!
(Links = report )
Answer:
120 in² hope it helped lol
what is the following product? 3sqrt4 times sqrt3
Answer:
[tex]\sqrt[6]{432}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}[/tex]
Please answer this question with explantion.
-35 × -98
What is the probability of the spinner landing on a vowel?
Answer:
What is the probability of getting a vowel (a success) for the spinner shown?
1/3
Suppose you spin the spinner 5 times. means “the probability of getting a vowel on exactly 3 of the spins.”
P(3 successes)
Compute P(3 successes) for 5 spins of the spinner
0.165
Step-by-step explanation:
edge 2022
A coach needs to choose two players from the
hockey team to be captain and assistant
captain. If there are 20 players on the team,
how many ways he can assign the two roles?
A. 100
B. 190
C. 380
D. 450
Answer:
380
Step-by-step explanation:
help asap please!!
Darryl and Ashley are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Darryl sold 12 rolls of plain wrapping paper and two rolls of holiday wrapping paper for a total of $94. Ashley sold 13 rolls of plain wrapping paper and one roll of holiday wrapping paper for a total of $89. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?
Answer:
Screenshot of work is uploaded.
Step-by-step explanation:
A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50
Answer:
m<4=40
Step-by-step explanation:
Supplementary angles form 180 degrees
m<3 is vertical to the 50 degree angle which is equal.
so. m<3=50
m<5=90
90+50=140
180-140=40
m<4=40
3. What kind of angle is this?
Right Angle
Straight Angle
Obtuse Angle
Accute Anglw
Answer:
That's acute angle
Right angle is exactly 90 degrees
straight Angle is exactly 180
obtuse angle is greater than 90 degrees and less than 180 degrees
acute angle is less than 90 degrees
please help !! And I'll give brainlist
Answer:
106.6 [tex]cm^{2}[/tex]
Step-by-step explanation:
A = 1/2bh
a) Expand and simplify the following expression.
x(4x – 5) – 2(x² - 4x + 6)
Answer:
[tex]2x^{2} - 12x -12[/tex]
Step-by-step explanation:
[tex]4x^{2} - 5x - 2x^{2} - 8x -12[/tex]
[tex]2x^{2} - 12x -12[/tex]
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Marking brainliest! :p A TV is priced at $798.50. There is a 6% sales
tax rate. What is the sales tax for the
refrigerator in dollars and cents?
Answer:
1277.6
Step-by-step explanation:
798.50 x 0.6 = 479.1
798.50 + 479.1 = 1277.6
Mark Me Brainliest Please! ⭐
PLEASE ANSWER FOR BRAINLIST!!!!!!!!
Answer:
blue=2
green=1
orange=2
red=5
Ameen went to the salon and had 3/8 of an inch of hair cut off. The next day she went back and asked for another 1/2 of an inch to be cut off. How much hair did she have cut off in all? Write your answer as a fraction in simplest form
Answer:
Total hair cut off = [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Given - Ameen went to the salon and had [tex]\frac{3}{8}[/tex] of an inch of hair cut off. The next day she went back and asked for another [tex]\frac{1}{2}[/tex] of an inch to be cut off.
To find - How much hair did she have cut off in all?
Proof -
Given that,
Firstly,
She cut off her hair = [tex]\frac{3}{8}[/tex]
Then,
She cut off her hair = [tex]\frac{1}{2}[/tex]
So,
Total hair cut off = [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{2}[/tex]
= [tex]\frac{3 + 4}{8}[/tex] = [tex]\frac{7}{8}[/tex]
⇒Total hair cut off = [tex]\frac{7}{8}[/tex]
Which set of values makes the inequality n > -5 true?
А
{-5, -5.5,-6)
B
{-5, -4.5, -3)
Ć
(-6,0,5)
D
{-6, -7,-8}
Answer:
the answer is c :)
Step-by-step explanation:
please I need help i will give 30 points
Answer:
250π OR 785.398
Step-by-step explanation:
Just plug in the values given to you in the image into the formula for volume.
Your answer can either be 250π or it can be 785.398
Both are correct
What are the solutions to the equation?
x=-6 and x= -2/3
x=-6 and x=2/3
x=6 and x=2/3
Answer:A
I just took assignment on edge.
Answer: x=-6 and x= -2/3
Sports Bottle
Original Price
$2.98
SSRO
CICERE
Now 30% off the original price.
Find the sale price.
.
$2.89
Oь
$3.87
$0.89
Od
$2.09
Answer:
Original = $2.98
Sales Price= $2.98* 0.70= $ 2.086
Ans = 2.09 (1dp)
5+5?????????????????????????????????????????/
Answer:
Hello There!!
Step-by-step explanation:
Here is your answer:5+5 eqauls 10.
hope this helps,have a great day!!
~Pinky~
More math! <.>
Which of the pp-values satisfy the following inequality?
5≥2p+1
Choose all answers that apply:
A: p=0
B: p=1
C: p=2
Answer:
answer c p=2
Step-by-step explanation:
because its equal to five
If x + sin^2 theta + cos^2 theta = 4, then what is the value of x?
Answer:
x = 3
Step-by-step explanation:
[tex]x + sin^2 \theta + cos^2 \theta = 4 \\ x + 1 = 4 \\ ( \because \: sin^2 \theta + cos^2 \theta = 1) \\ x = 4 - 1 \\ x = 3[/tex]
Your goal is to fill a right circular cylinder shaped bucket with water. The bucket has a radius of 6 inches and a height of 12 inches. If you use a right circular cone with a 3 inch radius and a 4 inch height, how many scoops of water will it take to fill the bucket ?
Answer:
36
Step-by-step explanation:
to answer this question :
determine the volume of the cylinder and the cone. Divide the volume of the cylinder by the volume of the coneVolume of a cylinder = nr^2h
n = 22/7
r = radius = 6
h = height = 12
(22/7) x (6^2) x (12) = 1357.71 in^3
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius = 3
h = height =
4
(1/3) x (22/7) x (3^2) x (4) = 37.71
1357.71 / 37.71 = 36 times
The line plot below shows data on the total number of hours that each volunteer
spent at a nature center one week. Which question cannot be answered using
the data in the graph?
Volunteer Nours
ht
>
& more
How many volunteers worked a total of 4 hours?
3
How many volunteers worked at the center that week?
Did any volunteers work at least 6 hours but no more than 7 hours?
pid most of the volunteers more or less than hours
Answer:
How many volunteers worked a total of 4 hours?
Step by Step Explanation: Its the right answer i just took the test yesterday and i made a 100%