Answer:
D(1,4) - the fourth vertex, the area is equal to 12
Step-by-step explanation:
A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)
xo= (xA+xc)/2 x0= (-2+4)/2=1
y0=(yA+yC)/2 y0= (1+3)/2=2
0(1,2)
O is the midpoint of BD, so let's find the vertex D
X0= (xB+xD)/2 1= (1+xD)/2 xD=1
y0= (yB+yD)/2 2= (0+yD)/2 yD=4
D(1,4)
the vector DA is (-2-1, 1-4)= (-3,-3)
the vector DC is (4-1, 3-4)= (3,-1)
The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)
The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)
cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5
sinD= sqrt (1- 1/5)=2/ sqrt5
S=3sqrt2*sqrt10*2/sqrt5= 12
Is the following rational or irrational?
Square root 16
Square root 12
12/5
0.36274959282619
Answer:
rational
irrational
rational
rational
Step-by-step explanation:
Square root 16 = 4 rational since it can be written as a fraction of integers
Square root 12 = 2 * sqrt(3) irrational since sqrt(3) is irrational
12/5 rational since it is a fraction of integers
0.36274959282619 rational since it is a terminating decimal
Find the perimeter and area of the figure.
5 cm
The perimeter of the figure is
centimeters
The area of the figure is
square centimeters.
PS: I got it wrong and I need help :)
Answer:
The perimeter is 20 cm.
The area is 25 cm^2.
Step-by-step explanation:
The perimeter is the distance around the figure.
This is a square, so each side is the same length.
There are four sides, so
5 + 5 + 5 + 5 = 20 cm
The area of the figure is
s^2
where s is a side
so 5 * 5 = 25 cm^2
Simplify each expression completely.
7[3+2(x-4)-6(x-4)]
Answer:
21 + 14x - 56 - 42x + 168
= 133 - 28x
Step-by-step explanation:
Answer:
19 - 4x
Step-by-step explanation:
[tex]3 + 2(x - 4) - 6(x - 4)[/tex]
[tex]3 + 2x - 8 - 6(x - 4)[/tex]
[tex]3 + 2x - 8 - 6x + 24[/tex]
[tex]19 + 2x - 6x[/tex]
[tex]19 - 4x[/tex]
Ray has gone 3/5 of a kilometre. How many metres has he gone?
Step-by-step explanation:
3/5 of a kilometre
=3/5×1000 meters
=3000/5 meters
=600 meters
Answer:
600 metres
Step-by-step explanation:
1 kilometre equals 1,000 metres.
[tex]\frac{3}{5}[/tex](1000) = 600 metres
If you need more clarification, ask me in the comments. Thanks!
Need help with these 3
Answer For Number 4: The distance between the two points is five.
Step-by-step explanation:
First outline the triangle, draw lines connecting the two points and form a right angle triangle. Use the graph to count the distance between point A and point B ( the one at the bottom point A, and the one towards the top point B ). Sorry, Imma stop explaining this because I suck at wording, I’ll show how to solve with picture.
Round your answer to the nearest hundredth
Answer:
200
Step-by-step explanation:
90-35=125
180-125=55
55x4=220
220= 200
Simplify by using the law of exponent (3/7)2 * (3/7)
Answer:
7^3 or 343
Step-by-step explanation:
2*3=6
7×7×7×7×7×7=117649
7^3=7×7×7=343
117649/343=343 or 7^3
Y=8x use this calculate y when x = 30
Answer: y is 240
Step-by-step explanation:
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $2000?
A. 90
B. 80
C. 100
Answer:
100
Step-by-step explanation:
if the pattern continues it looks like the equation f(x)=10x+1000 so you would need 100 hours to make 2000 dollars
3x-2=9x+10-6x
I need help ASAP pls
Answer:
[ no solution ]
Step-by-step explanation:
[tex]3x - 2 = 9x + 10 - 6x[/tex]
group x terms together and constants together:
[tex]3x - 9x + 6x = 10 + 2[/tex]
factorise out x on the left hand side :
[tex] x(3 - 9 + 6) = 12 \\ x(0) = 12[/tex]
since coefficient of x is 0, there is no solution.
In a three-person tug-of-war, three ropes are tied at a point. Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, and Levi is pulling the third rope. The knot in the middle is not moving. What is the magnitude of Levi's effort?
A) 34.7 Newtons
B) 55.3 Newtons
C) 550 Newtons
D) 790.6 Newtons
Answer:
Its D) 790.6
Step-by-step explanation:
All I can say is that I aced the test so.
The answer to the question what is the magnitude of Levi's effort is D 790.6 N
Since Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, the force due to Levi will be equal to the resultant force from Gary and June.
Since both Gary and June pull due East and due North respectively and these directions are perpendicular to each other, their resultant force is
R = √[(650 N)² + (450 N)²]
R = √[422500 N² + 202500 N²]
R = √[625000 N²]
R = 790.57 N
R ≅ 790.6 N
Since the resultant force due to Gary and June is 790.6 N, this is equal to the magnitude of Levi's effort since the knot does not move.
So, the magnitude of Levi's effort is 790.6 N
So, the answer to the question what is the magnitude of Levi's effort is D 790.6 N
Learn more about magnitude of resultant force here:
https://brainly.com/question/21444383
- Judy wrote a check for $63, then made a deposit
of $ 110. What was the overall chang to her
Account.
Answer:
$47
Step-by-step explanation:
110-63=47
Answer:
+$47
Step-by-step explanation:
As you are calculating for change, assume that the bank account has $0.
Judy wrote a check for $63, or she withdrew $63:
0 - 63 = -63.
Next, she deposited $110, or she added $110:
-63 + 110 = 47
The over all change to her account is a net profit of +$47.
~
What letter stays the same when reflected over the x-axis
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:
which of the following are geometric sequences?
a: 5,10,20,40,80,160
b: 3,6,9,12,15,18
c: 10,5,2.5,1.25,0.625,0.3125
d:1,3,9,27,81
Answer:
A, C, D
Step-by-step explanation:
This is because the ratio between te consecutive terms are constant, that is ×2, ×0.5 and ×3 respectively
Hi, I need help on the question that is listed on the photograph below: Thanks In Advance!
Answer:
first ma 8x+4y and bic ma 6x +5y last ma -2x+y
10 +6.1n 8 + 6.3n
What is N
Answer:
30.4n
Step-by-step explanation:
10+8+6.3n+6.1n
18+12.4n
30.4n
Explain the properties of following shapes in detail -
(a) Parallelogram
(b) Trapezium
(c) Rhombus
Satisfied answerer will get thanks and brainliest.
Answer:
The Properties of parallelogram are
a) Opposite sides are equal
b) All angles are not 90°
The Properties of trapezium are
a) One pair of opposite side is parallel
b) side of adjacent angle and non parallel side
of trapezium is 180°
The Properties of rhombus are
a) All sides are equal
b) All angles are not 90°
What is the GCF of 48&72
Answer:
24 is GCF
Step-by-step explanation:
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors they have in common: 1, 2, 3, 4, 6, 8, 12, 24
24 is the greatest factor they have in common; therefore, 24 is the greatest common factor, or GCF
Work out the value of (312 ÷ 35) ÷ (32 × 3)
Answer:
[tex](312 \div 35) \div (32 \times 3) \\ \\ 8.914 \div 96 \\ \\ = 0.09[/tex]
Can you please answer this?
Step-by-step explanation:
plan a 40dollars
plan b 30 dollars
plan b cost less
Mark me brainliest plsss
Which function is graphed?
Answer:
B.
Step-by-step explanation:
ik just trust because first one is less than so its undefined and the other is less then or equal to
pls I need clear workings.
(A.)evaluate without tables
1.)3log2+log20-log1.6
2.)log√2/log9
3.)log0.2/log25
4.)if logx-log(2x-1)=1,find x?
Answer:
1)2.602
3)-2.007
4)x=10/19
Step-by-step explanation:
steps are in the picture.
Note:if you need to ask question,I'll answer it
how many numbers are there between 256 and 789 that are divisible by 7
Answer:
76
Step-by-step explanation:
How many numbers are between 256 and 789 are divisible by 7 ?
Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.
a) let n1 be the lowest integer >=A such that n1 is divisible by M.
If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.
n1 will be the first number of the sequence of numbers divisible by M.
b) let n2 be the highest integer <=B such that n2 is divisible by M.
Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .
n2 w
A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:
x−y7−1
Let’s do it:
252 is the largest number less than 256 divisible by 7. y = 252
791 is the smallest number greater than 789 that’s divisible by 7.
Thus, our answer is 113-36–1 = 76.
Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).
Hope it helped you!!
Pls mark me the brainliest :)
2/3 divided by 1 3/7
Answer:0.46
Step-by-step explanation:
Taylor has a bank account earning 5 percent interest compounded annally. If her initial deposit was a 1,000, and she makes a withdrawal of $200 after 3 years, which of the following represents the total amount in her account after 7 years.
(A) 1,000 (1.05)^7- 200
(B) 1,000 (1.05)^3 + 800(1.05)^4
(C) 1,000 (1.05)^3 -200( 1.05)^4
(D) 1,000(1.05)^7 - 200(1.05)^4
what is the fraction 3/5 written as a Percent
A. 6%
B. 30%
C. 60%
D. 167%
Answer:
60%
Step-by-step explanation:
percent means out of 100
3/5 * 20/20
60/100
60 %
Answer:
C. 60%
Step-by-step explanation:
of
Use>,<, or = to solve the
inequality below
4/1___5/2
Answer:
4/1>5/2 because
when solved 4>2.5
Help please I truly appreciate it
Answer:
-12
Explanation:
2x + 8y
x = -7 and y = -1/4
plug in values of x and y
2(-7) + 8(-1/4)
multiply 2 and -7
-14 + 8(1/4)
multiply 8 and 1/4
-14 + 2
add
=-12
Answer:
2(-7)=8(1/4)
-14+8x1/4
-14+8/4
-14+2
-12
Step-by-step explanation:
Find the last three digits of the sum A=11!+12!+13!+...+2006!
Answer:
996
Step-by-step explanation:
n = 2006-11+1 = 1996
the sum A = 1996/2 × (11+2006)
= 2,012,996
so, the last 3 digits : 996
-5n-4(-7-4n)=36+7n
What is N?
Answer:
n=2
Step-by-step explanation:
-5n-4(-7-4n)=36+7n
Distribute
-5n +28 +16n = 36+7n
Combine like terms
11n +28 = 36+7n
Subtract 7n from each side
11n+28-7n = 36+7n-7n
4n+28 = 36
Subtract 28 from each side
4n+28-28 = 36-28
4n = 8
Divide by 4
4n/4 = 8/2
n=2