Answer:
30 meters
Step-by-step explanation:
when converting from scale to actual drawing:
find a way of removing the cm by
10cm × (3m/1cm)
look the cm cancels out
10×3m=30m
Find the difference of the two squares x2-49
Answer:
It is (x - 7)(x + 7)
Step-by-step explanation:
[tex] {x}^{2} - 49 \\ = {x}^{2} - {7}^{2} [/tex]
from the "difference of two squares"
[tex]( {a}^{2} - {b}^{2} ) = (a - b)(a + b)[/tex]
take;
a » x
b » 7
substitute:
[tex]( {x}^{2} - {7}^{2} ) = (x - 7)(x + 7)[/tex]
HELP PLSSSS!!! To _[blank 1) a number, break it up into parts that you can _[blank 2] together to get the original number. If you know one factor of a number, you can find another using _[blank 3] - Match each blank with the option that correctly fills in that blank. - blank1 blank 3 blank 2 :: factor :: division :: multiplication :: divide :: multiply :: factoring
Answer:
1. Factor
2. Multiply
3. Division
Step-by-step explanation:
Which of these represents a whole number?
3.2 , 4, 8/4, 4/7
Answer:
4
Step-by-step explanation:
a whole number is a number with no fraction
4 is a whole number.
What is whole number?
Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.
A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.
Hence, 4 is a whole number.
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Use #1-9 to identify each property below.
A. ab?.0=0
B. (7 + 5) + 1 = 7 + (5 + 1)
C. 6 = 6
D. 7(x – 3) = 7x - 21
E. x + (-x) = 0
F. if y = 3, then 3 = y
G. (a + b) + 0 = 0 + (a + b)
H. if x = -1, and -1 = z, then x = 2
I, 4x.1=4r
Here we need to see which axioms or properties are used in each case.
A: ab²×0 = 0
Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.
B: (7 + 5) + 1 = 7 + (5 + 1)
This is the associative property of addition, which says that we can perform the addition in any order we want.
C: 6 = 6
This is the reflexive property of equality, which says that every number is equal to itself.
D: 7(x – 3) = 7x - 21
This is the distributive property, which says that:
C*(A + B) = C*A + C*B
We can see that if we apply it to the left side we get:
7(x - 3) = 7x - 7*3 = 7x - 21
E: x + (-x) = 0
This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:
N + A = 0
Particularly, in the real set, we can see that A = -N
G: (a + b) + 0 = 0 + (a + b)
Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:
A + B = B + A
So the elements in the sum can commute.
H: if x = -1, and -1 = z, then x = z
This is the transitive property, we can apply it in the next way:
x = -1 = z
then x = z
So if both variables are equal to the same number, then the variables are equal.
I: 4x×1 = 4x
This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:
X*A =X
Particularly, A = 1.
X*1 = X.
If you want to learn more, you can read:
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Answer:
Step-by-step explanation: I also need help
Which shape fits the description below?
A six-sided figure with three pairs of parallel sides.
X.
Y.
Z.
OA. The shape is nonexistent.
ОВ.
Y
OC. Z
D. X
More math for the experts!
Crsytal and meghan shared a sum of money 8:3 , Crystal received $135 more than Meghan. How much money was shared ?
Answer:
$2,295
Step-by-step explanation:
Meghan = x
Crystal = x + 135
[tex] \frac{8}{3} = \frac{x}{x + 135} [/tex]
[tex]8 \times (x + 135) = 3x[/tex]
[tex]8x + 1.080 = 3x[/tex]
[tex]1.080 = x[/tex]
Meghan got $1,080
[tex]1.080 + 135 = 1.215[/tex]
Crystal got $1,215
[tex]1.080 + 1.215 = 2.295[/tex]
$2,295 money was shared.
2(k+ 4) = 3(k-2)
HELP PLEASE
Answer:
k = 14
Step-by-step explanation:
k = 14 because if you isolatethe variable by dividing each side by factor that dosent contain the variable
Answer:
k=14I'm pretty sure this is the correct answer hope it helps :)
If cosine theta equals two over three, what are the values of sin θ and tan θ?
Answer:
what
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 then
sin²x = 1 - cos²x
sin x = ± [tex]\sqrt{1-cos^2x}[/tex]
Given cos θ = [tex]\frac{2}{3}[/tex] , then
sinθ = ± [tex]\sqrt{1-(\frac{2}{3})^2 }[/tex] = ± [tex]\sqrt{1-\frac{4}{9} }[/tex] = ± [tex]\sqrt{\frac{5}{9} }[/tex] = ± [tex]\frac{\sqrt{5} }{3}[/tex]
Also
tanθ = [tex]\frac{sin0}{cos0}[/tex]
= [tex]\frac{\frac{\sqrt{5} }{3} }{\frac{2}{3} }[/tex]
= [tex]\frac{\sqrt{5} }{3}[/tex] × [tex]\frac{3}{2}[/tex] = ± [tex]\frac{\sqrt{5} }{2}[/tex]
The length of a rectangle is 2 ft longer than its width.
If the perimeter of the rectangle is 56 ft, find its length and width.
Hi! I'm happy to help!
To solve this, we first need to look at the perimeter equation:
P=2L+2W
We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:
56=2x+(2(x-2))
Let's simplify what the width is by multiplying:
56=2x+2x-4
Now, let's combine our 2xs
56=4x-4
Now, we just need to solve for x in order to find our length and width.
First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:
56=4x-4
+4 +4
60=4x
Now, all we have to do is divide both sides by 4 and x will be fully isolated:
60=4x
÷4 ÷4
15=x
Now that we know x, let's plug this into our previous equations:
L=x=15
L=15
W=x-2=15-2=13
W=13
To verify our answers, we can plug this into our perimeter equation:
56=2(15)+2(13)
56=30+36
56=56
After double checking our answers, we know that our length is 15 and our width is 13.
I hope this was helpful, keep learning! :D
Write an equation of a line that is perpendicular to the line x - 4y = 12 and passes through the point (2,3)
Answer:
y = - 4x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 4y = 12 ( subtract x from both sides )
- 4y = - x + 12 ( divide terms by - 4 )
y = [tex]\frac{1}{4}[/tex] x - 3 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
To find c substitute 2, 3 ) into the partial equation
3 = - 8 + c ⇒ c = 3 + 8 = 11
y = - 4x + 11 ← equation of perpendicular line
The equation y + 4x = 11 is the equation of a line that is perpendicular to the line x-4y = 12 and passes through the point (2,3).
By rearranging x - 4y = 12 in the form, y = mx + c;
we have; y = (x/4) - 3
The slope, m1 from here is (1/4)
The product of the slopes of two perpendicular lines is;
m1 × m2 = -1Therefore slope, m2 = -1/(1/4)Slope, m2 = -4Therefore, the equation of the line whose slope is -4 and passes through the point (2,3) is;
-4 = (y - 3)/ (x - 2)By cross product; we have;
-4x + 8 = y - 3y + 4x = 11.
Read more;
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f(x) = 2x2 – 7x – 6. Find f(6)
Answer:
hello, your name similarty to my name
Step-by-step explanation:
put 6 from x and to find function
f(6)= 72-42-6=24
Which function describes the granh below?
Answer:
second one Step-by-step explanation:
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. The height s of the ball in feet is given by the equation s =-27t2 + 50t+ 6.5, where t is the number of seconds after the ball was thrown
a) what is the initial height of the projectile?
b) what is the maximum height of the projectile? ( round to the nearest foot)
c) after how many second is the ball 12 feet above the moons surface? ( round to the nearest foot)
d) how long will it take for the ball to hit the moons surface?( round to the nearest hundredth)
Answer:
please answer me binary number multiply 11010 multiply 101
The difference between 7 and -14.
Numerical expression
Answer:
7-(-14)
7+14=21
Step-by-step explanation:
- and - = +
What’s the answer to this? Please send help
Answer:
C
Step-by-step explanation:
PLEASE HELP PLEASE!!!!!
Answer:
60x^4y^6
Step-by-step explanation:
(5xy^2)×(12x^3y^4)
=60x^(1+3)y^(2+4)
=60x^4y^6
Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function
Answer:
h is an odd funtion
Step-by-step explanation:
this is because h(-x)=h(x)
Answer: A
Step-by-step explanation:
A sum of odd functions is a odd function
Proof:
[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]
[tex]\frac{9}{20} + 2\frac{9}{10}[/tex]
Answer:
3 7/20
Step-by-step explanation:
9/20 + 2 9/10 = 9/20 + 2 18/20
= 2 + 27/20
= 2 + 1 7/20
= 3 7/20
Hello!
✥ Answer ✥
9/20 + 2 9/10 = 67/20
❀ Step-by-step explanation: ❀
1. Calculate:
9/20 + 2 9/10
9/20 + 29/10 (We amplify by 2)
9/20 + 58/20
67/20
Good luck!
Find the values of a and b that complete the mapping diagram
Answer:
A=0
B=1
Step-by-step explanation:
Just did it (:
Answer: A = 0, and B = 1.
Step-by-step explanation: I put 0, and 1, and it was the perfect answer.
PLEASE HELP COMPARING RATIOS
Step-by-step explanation:
lena=45/5=9 laps per min
ann= 40/4=10 laps per min
Carmen=56/8= 7 laps per min
the fastest = ANN
If y=3x + 5 what is the value of y when x= 12?
is 5.15 x 6√7 rational or irrational
Answer:
81,75
Step-by-step explanation:
you will use BODMAD
Which means in case you will divide first the 6 by 7 in division form .after getting the answer you will then multiply the answer by the 5.15.and get the final answer
How many solutions are there to the equation below?
14x + 5 = 14x-19
A. 1
B. infinitely many
C. 0
Answer:
0
Step-by-step explanation:
the slope is the same and the intercepts are different
how many zeros are in the product of any nonzero whole number less than 10 and 500?
Answer:
The product of 500 and any of these number will contain 2zeros
integers
simplify
17-{19-2(1+3)}
Answer:
6
Step-by-step explanation:
Use PEMDAS
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
Problem: 17 - {19 - 2(1 + 3)}
Step 1:
17 - {19 - 2(1 + 3)} = 17 - {19 - 2 x 4}
Step 2:
17 - {19 - 2 x 4} = 17 - {19 - 8}
Step 3:
17 - {19 - 8} = 17 - 11
Step 4:
17 - 11 = 6
If this is correct please give me brainliest.
Hello!
Im beginning year 11 this year and I recently did really bad in my Mocks! I really need some help and advice for all of my subjects because I truly dont know how to revise effectively and because I keep Procrastinating!
Any advice would be appreciated or if u have links to videos and helpful websites I would appreciate it
Here are my results :
Maths : 4
Eng Language : 4
Eng Lit : 4
Chemistry : 4
Physics : 3
Biology : 3
RE: 4
Health and Social care : Level 2 Pass
History : 4
Food Tech : 4
Spanish : 4
Thank u!
Answer:
if you need help with some subjects you can come here in brainly it helps me a lot i just started grad 6 so yeah
like if you have a math question just go to ask question you and someone will help
and also explain so yeah hope i helped a littleGiving Brainliest
what is 4(5+2) divided by 2?
Answer:
[tex] \frac{4(5 + 2)}{2} = \frac{20 + 8}{2} = \frac{28}{2} = 14[/tex]
I hope I helped you^_^
Tìm nghiệm và vẽ đường thẳng biểu diễn tập nghiệm của nó
a 2x+y=6
Answer:
1111111111111111111111111111111111111111
Step-by-step explanation:
Mario is 68.5 inches tall. Tyler is 63.25 inches tall. How much taller is Mario than Tyler
Answer:
5.25inches
Step-by-step explanation:
difference in height = 68.5-63.25 =5.25
Height of Mario Hm = 68.5 inches
Height of Tyler Ht = 63.25 inches
Evidently, Hm > Ht
Now difference = Hm - Ht = 68.5 - 63.25
= 5.25 inches
Answer: Mario is 5.25 inches taller than Tyler.