Answer:
Perimeter = 24 units
Area = 36 square units
Step-by-step explanation:
An archaeologist divides an area using a coordinate plane in which the coordinates are measured in meters. The vertices of a secret chamber are (-4,-1), (2,-1) , (2,5) , and (-4,5) . Find the perimeter and the area of the secret chamber.
We have to find the length of the sides of the rectangle using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For sides A
(-4,-1), (2,-1)
= √(2 - (-4))² + (-1 -(-1))²
= √(2 + 4)² + (0)²
= √6²
= √36
= 6 units
Side B
(2, -1), (2,5)
= √(2 - 2)² + (5 - (-1))²
= √0² + (5 + 1)²
= √0 + 6²
= √36
= 6 units
For side C
(2,5) , and (-4,5)
= √(2 - (-4))² + (5 - 5)²
= √6² + 0²
= √36
= 6 units
For side d
(-4,-1), (-4,5)
= √(-4 - (-4))² + (5 - (-1))²
= √(-4 +4)² + (5 + 1)²
= √0 + 6²
= √36
= 6 units
From the above calculation, all the sides of the secret chamber are equal to one another
Side a = Side b = Side c = Side d
This means the chamber is has the shape of a square.
The perimeter of the secret chamber =
P = 4a
a = Length of one side = 6 units
P = 4 × 6 units
P = 24 units
The area of the secret chamber
A = a²
a = Length of one side = 6 units
A = ( 6 units)²
P = 36 square units
Can someone help me with this
Answer:
I believe it is 30 toy planes
Hope this helps.
Step-by-step explanation:
toy cars - 2 = 12
toy planes - 5 = 30
total - 7 = 42
how to solve 9x-5-(-6x)
Answer: 3x-5
Step-by-step explanation:
9x-5(-6x)
9x-5-6x
3x-5
Answer:
15x - 5
Step-by-step explanation:
We have the equation 9x - 5 - (-6x) and are asked to solve it.
We cannot combine 9x and 5 because they have a variable difference, with 9 having x as its variable and 5 having no variable. What we can do is distribute the minus sign to the right of 5 to (-6x), lets do as said :
9x - 5 - (-6x)
Two negatives make a positive, therefore :
9x - 5 + 6x
Since 9x and 6x have the same variable ending, we can combine them, do as followed :
9x - 5 + 6x
9x + 6x
15x - 5
The triangles shown below must be congruent. Help please
How many restaurants have a excellent rating that seat over 100. A) 182 , B) 159, C)180 OR D) 311
Answer: I don't know if this is possible to solve https://youtu.be/dQw4w9WgXcQ
Step-by-step explanation:
Given that cos 57° = 0.545, enter the sine of a complementary angle.
sin
h
Answer:
sin 33° = 0.545
Step-by-step explanation:
complementary angle to 57° is 33°
sin 33° = 0.545
y+-16=70
please help
Answer:
[tex]y + - 16 = 70 \\ y = 70 + 16 \\ y = 86[/tex]
Hope it helps!!
(100 points) Give a step by step explanation on how you solved this problem
y = 3x + 3
y = x − 1
Answer:
Step-by-step explanation:
Well you have to solve for X to find Y simplified.
Since both equations equal Y you can plug them together
3x+3=x-1
-x -x
2x+3=-1
-3 -3
2x=-4
Divide -4 by 2 and you get X = -2 then plug X into both equations and boom
y= -3
Someone plz help 50 points and brainliest if correct!!!
Answer:
Ratio of one dimension:
k = R/r = 12/3 = 4Ratio of the volumes:
k³ = 4³ = 64Smaller volume given:
97 cm³Larger volume:
97*64 = 6208 cm³Answer:
6208 cm³
hope it helps
please mark Brainliest
A toy company has 6 different heights of its best-selling action figure, labeled versions 1 through 6. Each version is modeled from clay molding of the action figure. Version 1 is 125% taller than the clay molding of the action figure. The heights of action figure versions 2 through 6 are each 125% taller than the previous version of the action figure. The clay molding of the action figure is 4 inches tall. Which function can be used to find the height in inches of each version of action figure, where 1 ≤ v ≤ 6?
h(v) = 1.25(v+ 4)
h(v) = 4(1.25)v
h(v) = 1.25(4)v
h(v) = 4(v + 1.25)
Answer:
a
Step-by-step explanation:
a
2/3 - 3/2y + 1/3y + 4 = 0
Answer:
y = 4
Step-by-step explanation:
(2/3 + 4) + (-3/2y + 1/3y) = 0
(-3/2y + 1/3y) = -4 2/3
-9/6y + 2/6y = -14/3
-7/6y = -14/3
cross-multiply:
-21y = -84
y = 4
Answer:
y = 4
Step-by-step explanation:
Please use parentheses for clarity, remembering what big differences they make in expression values.
I will assume that your "2/3 - 3/2y + 1/3y + 4 = 0" actually means
2/3 - (3/2)y + (1/3)y + 4 = 0
The LCD here is 6, which is the product of the denominators 2 and 3.
Then your "2/3 - 3/2y + 1/3y + 4 = 0" becomes:
4 - 9y + 2y + 24 = 0, which simplifies to:
28 - 7y = 0. Solving this, we get y = 4
A figure as vertices at (-2, 2), (-2, 6), (6, 6), (6, 2). Which shape best describes the figure?
Answer:
A rectangle
Step-by-step explanation:
Please answer, no jokes or fakes or report
Answer:
375.2887 ft is the answer
Answer:
375.3 ft
Step-by-step explanation:
What we need to do first is divide 175 by the sine of 25°.
175/sin(25°)
175/0.422618
175/1 * 500000/211309
25/1 * 500000/30187
12500000/30187
414.085534 = length of hypotenuse.
Now, find the square root of the difference between c² & a².
b = √414.09² - 175²
b = √171470.528 - 30625
b = √140845.528
b = 375.293922
b ≈ 375.3
The horizontal distance between the technician and the base of the telephone pole is 375.3 ft.
Polygon ABCD is a scaled copy of polygon EFGH.
Which angle corresponds to angle F?
A
B
C
D
Answer:
Step-by-step explanation:
Use the distributive property with factoring to find the equivalent expression. 24n + 32w = (3n + w)
Answer:
Step-by-step explanation:
24n + 32w = (3n + w)
We're asked to use distributive property, this means that we have to find a way that the given expression on the left hand side is equal to the given incomplete exresssion on the right hand side. In so doing, we're fulfilling the distributive property tag.
Given 3n, 3 factorises 24 into 8, and at the same time, factorises 32 into 4. Thus, we can then conclude that
24n + 32w = 8(3n + 4w)
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
Its actually 30
Step-by-step explanation:
A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table.
Red Green Blue Yellow Orange
17 24 20 25 14
Which color contributes most to the chi-square test statistic?
Answer:
Orange
Step-by-step explanation:
just took the test
The color which contributes most to the chi-square test statistic for the bag of candy is orange color.
What is Chi-square test?Chi-square test is the statistical test, which is used to examine, the difference between the expected frequency and the observed frequency.
[tex]x^2=\dfrac{(o_i-E_i)^2}{E_i}[/tex]
A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim.
They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table-
Red Green Blue Yellow Orange
17 24 20 25 14
The average of the all the values is 20.
Now, according to the manufacturer, bags should contain an equal number of each color. Thus, the expected value for the bag of candy are,
Red Green Blue Yellow Orange
20 20 20 20 20
Form, the above formula the color which has less values of observed, and more value of expected, contributes most to the chi-square test statistic.
Here, the orange color has the less value of observed frequency. Therefore, the color which contributes most to the chi-square test statistic for the bag of candy is orange color.
Learn more about the chi-square test here;
https://brainly.com/question/4543358
guys please help me with this question, I’d appreciate it a lot
Answer:
x = 33°
Step-by-step explanation:
sin x = 6/11
sin x = o.5455
x = 33°
A picnic is attended by 3 senior citizens, 12 adults, and 4 teenagers. Write a ratio of:
a. Senior citizens to adults
b. Teenagers to senior citizens
c. Adults to people at the picnic
TIME REMAINING
57:54
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1, one-third, one-ninth, StartFraction 1 over 27 EndFraction, ...
–3
–
3
Answer:
1/3
Step-by-step explanation:
Answer:
1/3 or c on edge
Step-by-step explanation:
help me please lol i don’t understand this
Answer:
a-88 degrees give me brainiest
Mount McKinley, in Alaska, is about 3.848 miles high. If a mountain climber can climb 0.25 miles per day, about how long to the nearest day, would it take to climb Mount McKinley?
Answer:
About 16 days.
Step-by-step explanation:
The mountain is 3.848 miles high and you climb 0.25 miles a day. So you have to divide 3.848 by 0.25 and you get 15.392. But since you have to round it to the nearest day, you round it up to 16 because if you round down to 15 you still have 0.392 of a day leftover.
I NEED HELP WITH THIS!!!
Answer:
they all are correct
Step-by-step explanation:
You deposit $3000 into an account that pays 4.8% interest, compounded monthly. A) What is the value of the account after 5 years?B) How long will it take for the value of the account to reach $6000?
Answer:
14.4 years (about 14 years 6 months)
Step-by-step explanation:
Given data
Principal= $3000
Rate= 4.8%
A. Time= 5 years
The expression for compound interest is
A=P(1+r)^t
Substitute
A= 3000(1+0.048)^5
A= 3000(1.048)^5
A=3000*1.264
A=$3792
Hence the balance will be $3792
B. Final Amount A = $6000
The expression to find time is given ast
t= ln(A/P) / r
substitute
t= ln(6000/3000)/0.048
t= ln2/0.048
t= 0.6931/0.048
t=14.43
Hence the time is 14.4 years (about 14 years 6 months)approx
A 12 feet tall street light is making an 18 feet shadow at the same time in nearby building is making a 72 feet shadow
Answer: 48 ft
Step-by-step explanation:
Given
Height of street light h=12 ft
length of shadow x=18 ft
Shadow length of building x'=72 ft
suppose the height of the building is y
from the figure, we can write
[tex]\Rightarrow \tan p=\dfrac{h}{x}=\dfrac{12}{18}\\\\\Rightarrow \tan p=\dfrac{y}{x'}=\dfrac{12}{18}\\\\\Rightarrow y=72\times \dfrac{2}{3}=48\ ft[/tex]
your friend decides to toast a piece of bread, but leaves it in the toaster too long. the bread is black and the kitchen is full of smoke.
is the change chemical or physical. and give evidence
Answer:
Chemical because there is a change in color and the smoke is a change of substance.
Step-by-step explanation:
Answer:
Chemical.
Explanation:
So, before the bread was the normal color like all breads are, but then the bread was in the toaster for way to long. It started to turn black. Therefore, the change of color would be a chemical change.
Also this is the wrong subject. I'm pretty sure it's supposed to be Biology.
The line segment shown is translated down 4 units, what are the new coordinates of B?
(0.3)
Answer:
(0, - 1 )
Step-by-step explanation:
A translation down means subtracting 4 from the y- coordinate of the point, that is
B(0, 3 ) → B'(0, 3 - 4 ) → B'(0, - 1 )
Pls help fast pls don't leave a non link
Answer:
A
Step-by-step explanation:
What is the slant height x of the square pyramid?
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of half of the base edge is 3 meters. The lateral edge makes a 30 degree angle with the lateral height.
Enter your answer in the box. Express your answer in radical form.
x =
m
Solve the following system of equations algebraically:
y=x^2-3x+10
y=x+10
Which of these n values are solutions to the following equation?
n2 = 2.25
Choose all answers that apply:
А)
n = 1.1
В)
n = -1.1
C)
n = 1.4
D)
n = -1.4
E)
None of the above
Answer:
None of the above
Step-by-step explanation:
Square root of 2.25 is 1.5, not 1.4
Answer:
none of the above
Step-by-step explanation:
did it on khan