Answer:
$4.00
Step-by-step explanation:
Can someone please help me on this math question
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.
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
The graph shows the population of a city from 1900 to 2000. What is the average rate of change of the population between 1950 and 1980?
Please help! I attached a photo of the graph.
Answer:
-15
Step-by-step explanation:
in 1950 it was 45 and in 1980 it was 30 so it is -15
The average rate of change can be define as the value of something is changing with respect to another thing is tinging. The average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.
Given information-The given graph shows the population of a city between the year 1900 to 2000.
Average rate of change-The average rate of change can be define as the value of something is changing with respect to another thing is tinging.
Form the given graph,
The year 1950 is between the year 1940 and year 1960. The value at the y axis where the population (in thousand) shown is 45,000 for the year 1950.
The year 1980 is shown in graph at the x axis and the value of the population in the y axis is 30,000.
Thus the population is decreasing from year 1950 to 1980. The difference in the population of the year 1950 and 1980 is,
[tex]d=45000-30000[/tex]
[tex]d=15000[/tex]
Thus the change in the population between 1950 and 1980 is 15,000.
Average rate of change of the population between 1950 and 1980 -
As the population and the year both are changing. The rate of change for the population with respect to the year can be calculating by dividing the difference of the population between two year to the total years between the 1950 to 1980.
There is total 30 year from 1950 to 1980, thus the average rate of change is,
[tex]A(x)=\dfrac{15000}{30} \\ A(x)=500[/tex]
Thus the average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.
Learn more about the average rate of change here;
https://brainly.com/question/2530409
What is the equation?
Answer:
76
Step-by-step explanation: and explain
Answer:
Step-by-step explanation:
hello : here is an solution
What are vertical angles called?
Answer:
They are called vertical angles but are also known as "Vertically Opposite Angles"
Step-by-step explanation:
can i get brainliest im 1 away from ranking up
Answer:
"Vertical" refers to the vertex
Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.
Step-by-step explanation:
The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles.
I'M SO SORRY IF WRONG FORGIVE ME the internet gave me this1+1=?
im testing out this thing cause I'm new
Answer:
the answer is 2 lol
Step-by-step explanation:
thanks for points
Solve these equations: |x-6|=-10
Answer:
I got x= -4 as the answer. I hope it helps
evaluate 4^3+3x5-8Captionless Image
Answer:
71
Step-by-step explanation:
64+3×5-8
64+15-8
79-8
71
Answer:
71
Step-by-step explanation:
4^3 = 64 + 15 = 79 - 8 = 71
Give me my brainllest
9multiply root 3 by 3 root 5
Answer:
[tex] \frac{9 \sqrt{3} }{3 \sqrt{5} } \\ = \frac{3 \sqrt{3} }{ \sqrt{5} } [/tex]
Hope it helps!
Plz help with this math
Answer:
[tex]\frac{n^4p+n^2}{p^3} \\[/tex]
Step-by-step explanation:
We are given the equation [tex]\frac{n^4}{p^2} + \frac{n^2}{p^3}[/tex]
To solve we need to first find the LCM of the denominators, which would be [tex]p^3[/tex].
[tex]\frac{n^4p}{p^3} + \frac{n^2}{p^3}[/tex]
Now combine the fractions to get the final answer :
[tex]\frac{n^4p+n^2}{p^3} \\[/tex]
Translate algebra expressions take away 2 from 8 times f
Answer:
Algebraic Expression:
[tex]8f - 2[/tex]
Answer:
(8f)-2
Step-by-step explanation:
8 times f is multiplication, take two away is subtraction.
2. What property is used to say that the
expression 5x + 7 - 2x is equivalent to
the expression 5x - 2x + 7?
Answer:
The commutative property.
The medians of △DEF are DK, EL, and FJ. They meet at a single point M. (In other words, M is the centroid of △DEF.) Suppose EM=12, FJ=60, and MK=11. Find the following lengths.
Given:
In [tex]\Delta DE F,EM=12,FJ=60,MK=11[/tex].
M is the centroid of the triangle DEF.
To find:
The lengths of MJ, DM and EL.
Solution:
We know that the centroid is the intersection points of medians of a triangle and centroid divides each median in 2:1.
M is the centroid of the triangle DEF. It means DK, EL, FJ are medians and M divides these segments in 2:1.
It is given that [tex]FJ=60[/tex].
[tex]MJ=\dfrac{1}{2+1}FJ[/tex]
[tex]MJ=\dfrac{1}{3}(60)[/tex]
[tex]MJ=20[/tex]
Therefore, the length of MJ is 20 units.
Let DM and MK are 2a and a. It is given that, [tex]MK=11[/tex]. Then
[tex]a=11[/tex]
Now,
[tex]DM=2a[/tex]
[tex]DM=2(11)[/tex]
[tex]DM=22[/tex]
So, the length of DM is 22 units.
Let EM and ML are 2a and a. It is given that, [tex]EM=12[/tex]. Then
[tex]2a=12[/tex]
[tex]a=\dfrac{12}{2}[/tex]
[tex]ML=6[/tex]
Now,
[tex]EL=EM+ML[/tex]
[tex]EL=12+6[/tex]
[tex]EL=18[/tex]
So, the length of EL is 18 units.
Can someone help! I think Ik what the answer is but the answer sheet says something different.
Jesse is planting a vegetable garden. The area of the garden is 16 square yards. Each vegetable plant will need 1/9 of a square yard to grow in. How many vegetable plants will Jesse be able to plant in her garden?
Answer:
its 144
Step-by-step explanation:
3/8 + 2 1/2
pls help!!! make sure to show work. thanks :)
Answer:
2 7/8
Step-by-step explanation:
Let's convert to common denominator
3/8 = 3/8
2 1/2 = 2 4/8
3/8 + 2 4/8 = 2 7/8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
help please!
integrate the following:
[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2a) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
Answer:
[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following integration:
[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2 \alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
notice that you can simplify the integrand
recall that,
[tex] \displaystyle \cos(2 \theta) = 2 \cos(\theta) ^{2} - 1[/tex]
thus substitute:
[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - \{2\cos ^{2} (\alpha ) - 1 \} }{ \cos(x) - \cos( \alpha ) } dx[/tex]
remove parentheses:
[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - 2\cos ^{2} (\alpha ) + 1}{ \cos(x) - \cos( \alpha ) } dx[/tex]
[tex]\displaystyle \int \frac{ 2\cos^{2} (x) - 2\cos ^{2} (\alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
factor out 2:
[tex]\displaystyle \int \frac{ 2(\cos^{2} (x) - \cos ^{2} (\alpha )) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
we can use algebraic identity i.e
a²-b²=(a+b)(a-b) to factor the denominator
[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cos(x) - \cos( \alpha ) ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]
reduce fraction:
[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cancel{\cos(x) - \cos( \alpha ) ) }}{ \cancel{\cos(x) - \cos( \alpha ) }} dx[/tex]
[tex] \displaystyle \int 2( \cos(x) + \cos( \alpha ) )dx[/tex]
distribute:
[tex] \displaystyle \int 2 \cos(x) + 2\cos( \alpha ) dx[/tex]
use sum integration formula:
[tex] \rm \displaystyle \int 2 \cos(x) dx+ \int2\cos( \alpha ) dx[/tex]
recall integration rules:
[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) [/tex]
and we of course have to add constant of integration
[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]
Consider the net of a prism below. Describe the prism that the net models.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the net of the prism is not shown.
However, I will give a general explanation on how to determine the net of the three popular prisms.
(1) Rectangular prism.
It is made up of 6 rectangles
(2) Triangular prism
It consists of 3 rectangles and 2 triangles
(3) Square prism
It is made up of 6 squares
See attachment for the net of each prism
Find the missing measurement round answer to nearest tenth
Answer:
hope this helps you out five is a little harder to read sorry
what is the slope of a line passing through (-3,-7) and (1,4)
solution,
slope(m) = y2-y1/ x2-x1
= 4+7/1+3
=11/4
I hope this is correct, the formula can be wrong so pls double check if u have formula.
1. How many terms are in the expression
4a + a² + 6a²?
A 3
B 4
C 5
D 7
Answer: A.3
Step-by-step explanation:
pls help i need it asap
Answer: y = 4x - 4
Step-by-step explanation:
The line goes through -4 on the y axis meaning its y intercept is -4
and the line goes up by 4 ( that being the slope )
Can you guys help me with a math problem
If Jacob had an allowance for 20 every 2 weeks how much money will he have saved up after 17 months
Please help I am on a timer
Answer:
680.. that is if we are only doing 4 weeks = a month but yeah :)
Step-by-step explanation:
Answer:
about 680
Step-by-step explanation:
17 months rounds up to 68 weeks so divide by 2 and it would make 34 since jacob is getting the allowance every two weeks then multiply it by 20 which makes 680
i don't know if this is correct but I hope it helps
Scarlett's math teacher finds that there's roughly a linear relationship between the
amount of time students spend on their homework and their weekly quiz scores. This
relationship can be represented by the equation y = 60 + 8x, where y represents
the expected quiz score and x represents hours spent on homework that week. What
is the meaning of the x-value when y = 89?
Answer:
.
Step-by-step explanation:
Find c.
Round to the nearest tenth:
8 cm
82
55°
b
c = [? ]cm
Law of Sines:
sin A
sin C
sin B
b
Please help asap
Answer:
9.7cm
Step-by-step explanation
According to the sine rule;
a/sinA = c/sinC
8/sin55 = c/sin82
Cross multiply
csin55 = 8sin82
c(0.8192) = 8(0.9903)
c = 8(0.9903)/0.8192
c = 7.9221/0.8192
c = 9.67
Hence the value of c to the nearest tenth is 9.7cm
Rami designed a small pond for a restaurant. The diagram below shows the measurements of the pond. How many cubic feet of water are needed to fill the pond?
Answer:
426
Step-by-step explanation:
Which of the following has zero width and an infinite length? A. a point B. a line segment C. a line D. a plane
Answer:line
Step-by-step explanation: the section between any two points on a line is called a line segment a line segment can be very long or very short or somewhere in between the difference between a line and a line segment is that a line segment has two endpoints and a line goes on forever
HELP 5TH GRADE MATH EASY
Answer:
the area is 24 (8 x 3)
and the perimeter is 22 (8 + 8 + 3 + 3)
Step-by-step explanation:
Answer:
Area: 24
Perimeter: 22
Step-by-step explanation:
To solve the area, the equation is l*w, or in this case 3*8, which is 24.
To solve the perimeter, the equation is 2l + 2w, or in this case (3*2)+(8*2).
The triangle and the trapezoid share a 15 inch base and height of 10 inches.
The area of the trapezoid is less than twice the area of the triangle. Find the value of x. Explain your reasoning.
Can the area of the trapezoid be exactly twice the area of the triangle? Explain your reasoning.
Answer:
15 ; yes
Step-by-step explanation:
Base = 15 inches
Height = 10 inches
Area of triangle = 1/2* base * height
Area of triangle = 0.5 * 15 * 10
Area of triangle = 75 in²
Area of trapezium < 2(75)
Area of trapezium, A
A = 1/2*(x+b)h
x = top base ; b = bottom base ; h = 10
1/2*(x + 15)10 < 150
5x + 75 < 150
5x < 150 - 75
5x < 75
x < 15
Hence, Area of trapezoid :
A = 1/2 * (15 + 15)10
A = 1/2 * (30)10
A = 1/2 * 300
A = 150
Hence, Area of trapezium can be twice the area of triangle.
2(75) = 150
please helppppppppppp
Answer:
RQ = 5 cm
ST = 8 cm