9514 1404 393
Answer:
u, AB6.4arctangent51°MN has the opposite direction of NMa ray has infinite length; a vector has finite lengthStep-by-step explanation:
1. The problem preamble gives you the two ways to name the vector. You can use either its name, or the two end points. (The starting point is named first, as it is with a ray.)
The vector shown can be referred to by the names ...
u or AB
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2. The right triangle has legs 4 and 5, so the length is ...
length = √(4² +5²) = √41
length ≈ 6.4
__
3. Typically, you're given the leg lengths. The ratio of these is the tangent of the angle. The angle can be found using the inverse tangent function.
__
4. The tangent of the angle is the slope of the vector:
tan(A) = 5/4
A = arctan(5/4) ≈ 51°
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5. The first letter named is the starting point of the vector. Vector MN starts at point M and ends at point N. Vector NM starts at N and ends at M. The directions of the two vectors are opposites.
__
6. A ray is like a vector of infinite length. The name of a ray includes a point on the ray. The name of a vector includes both end points. It is of finite length.
_____
Additional comment
A lot of math is invented to describe how things work in the real world. A vector is often used to represent velocity or force and other things that can be described by a magnitude and direction in the real world. A ray is more often used in problems in geometry, where that abstract concept serves a useful purpose.
shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation
the total sale was neither a profit nor loss , 0%
Step-by-step explanation:
1st table :
100%-> 9900
110%-> 10890
10890-9900=990(earned)
------------------------------------------
2nd table :
100%->9900
90%-> 8910
9900-8910=990(lost)
990-990=0
hence the total sale was neither a profit nor loss , 0%
Please help! Thanks!
Step-by-step explanation:
Put the what given of y in equation 2 to equation of 1
So you get
[tex] \frac{4}{5} x + \frac{2}{5} x - 7 = - 4 \\ \frac{6}{5} x = 3 \\ x = \frac{15}{6 } \\ x = \frac{5}{2} [/tex]
Then put the value of x in second equation
You will get
[tex]y = - \frac{2}{5} \times \frac{5 }{2} + 7 \\ \\ y = 6[/tex]
A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.
Answer:D
Step-by-step explanation:
Will mark brainliest if ur right! if not, u wont get it.
Answer:
(-4,4)
Step-by-step explanation:
I believe that's it
- 10x - 5y = 5 - 4x + 5y = 23
The given polygons are similar. Find the value of x.
Answer:
x= 10 hope it helps have a nice day
Answer:
x=10
Step-by-step explanation:
[tex]\frac{8}{12} =\frac{x}{15}[/tex]
8×15=12x
120=12x
120/12=x
10=x
x=10
Hope this helps! :)
The candy of a lolipop is in the shape of a sphere with a diameter of 4 cm. The
cylindrical stick inside the candy is the same height as the sphere and has a radius of
0.5 cm. What is the composite volume of the candy? Round to the nearest tenth, if
necessary.
Can someone please answer my question Geometric Sequence:
3, 6, 12, 24, …
Answer:
48
Step-by-step explanation:
You multiply by 2 each time
I believe it is multiplying by 2 each time.
3 x 2 = 6
6 x 2 = 12
12 x 2 = 24
So if this was true to continue we would just multiply by 2....
24 x 2 = 48
48 x 2 = 96
96 x 2 = 192
192 x 2 = 384
384 x 2 = 768
and continue for as long as you need to go....
Hope this helped!Subtract (-3f - 4g + 9) - (2 - 6f + 5g).
Answer:
Step-by-step explanation:
Remove the brackets. Watch out for that minus sign. It affects all three terms in the right bracket.
(-3f - 4g + 9) - (2 - 6f + 5g)
-3f - 4g + 9 - 2 + 6f - 5g
+3f - 9g + 7 is your answer.
Answer:
3f−9g+7
Step-by-step explanation:
(−3f−4g+9)−(2−6f+5g)
To find the opposite of 2−6f+5g, find the opposite of each term.
−3f−4g+9−2−(−6f)−5g
The opposite of −6f is 6f.
−3f−4g+9−2+6f−5g
Subtract 2 from 9 to get 7.
−3f−4g+7+6f−5g
Combine −3f and 6f to get 3f.
3f−4g+7−5g
Combine −4g and −5g to get −9g.
3f−9g+7
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Answer:
5 yr and 39 yr
Step-by-step explanation:
Let x = the age of the younger
then 7x + 4 = the age of the older
Now x + 7x + 4 = 44
8x + 4 = 44
8x = 40
x = 5
7x + 4 = 7(5) + 4 = 35 + 4 = 39
Check: 5 + 39 = 44
Please help I really need this tysm to who answers this.
solve the inequality y - 8 > 13
pls help Kerry cut an $8$ -foot-long board into $6$ pieces that are equal in length.
Answer:
Kerry should cut it into 1 1/3 pieces
Step-by-step explanation:
divide the total by the parts you want to get the length of a part
8/6=4/3
Will mark BRAINlIEST!!!
What is 2/7+ (−4/7)
Answer:
- 2/7
Step-by-step explanation:
+ and - becomes -
2/7 - 4/7 = - 2/7
PLEASE MARK BRAINLIEST!!! <3
Answer:
6/9 yeah that's it I looked It, up.
Step-by-step explanation:
-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D
Answer:
Step-by-step explanation:
Please answer ASAP i need this immediately
Answer:
2/3 is less than 1 1/15
Step-by-step explanation:
2/3 * 1 3/5 = 1 1/15
2/3 < 1 1/15
Answer:
>
Step-by-step explanation:
2 over 3 is less than 1 and 3 over 5
For what value of x does f(x) = -3? *
.
Answer:
3
Step-by-step explanation:
Help me find y intercept, slope, and linear function
Answer:
y=5 m=3
Step-by-step explanation:
i mean it shows you the y intercept and the slope and the linear function all in that one picture
Answer:
y-intercept = 5
slope = -1/3
Step-by-step explanation:
Animal Nutrition Kevin's dog Amadeus likes two kinds of canned dog food. Gourmet Dog costs 40 cents a can and
has 20 units of a vitamin complex; the calorie content is 75 calories. Chow Hound costs 32 cents a can and has 35 units of vitamins and 50 calories. Kevin likes Amadeus to have at least 1175 units of vitamins a month and at least
2375 calories during the same time period. Kevin has space to store only 60 cans of dog food at a time. How much of each kind of dog food should Kevin buy each month to minimize his cost?
Answer:
The answer should be 15 cans GD and 25 cans CH
Step-by-step explanation:
A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
У.
B (27, 30)
Point A has coordinates (3, 2)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.
Answer:
The coordinates of C are (15,16)
Step-by-step explanation:
As we can see, point C lies half the distance of AB
So we can use the midpoint formula to get the coordinates of C
we have this as:
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,2)
(x2,y2) = (27,30)
Thus, we have
(x,y) = (3 + 27)/2, (30 + 2)/2
(x,y) = 30/2 , 32/2
(x,y) = (15,16)
rewrite the equation:
0=x^2+4x+1
Answer:
-x^2-4x-1=0
plz mark as brainliest
Step-by-step explanation:
Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.
Answer:
Area=36.66 cm^2
Step-by-step explanation:
First, you need the height.
Use the Pythagorean theorem:
hypotenuse^2=height^2+(1/2 base)^2
It's one-half base because it's an equilateral triangle.
1/2 base =4.6
(9.2)^2-4.6^2=height^2
84.64-21.16=height^2
height^2=63.48
height=7.97
Area=(1/2)(base)(height)
Area=(1/2)(9.2)(7.97)=36.66 cm^2
Please help marking brainiest
Answer:
can you blow the image up or tell me what it says
Step-by-step explanation:
Can someone please help me solve these?
9514 1404 393
Answer:
(c) h(x) = (3x +4)(2x +1)
Step-by-step explanation:
The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.
The middle term (11x) is only created by the third choice:
(3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)
= 6x^2 +3x +8x +4
= 6x^2 +11x +4 . . . . matches the given h(x)
2,6,18,54 what is the 10th term of the sequence
Answer:
78
Step-by-step explanation:
I'm really good at these
Answer:
Step-by-step explanation:
This is a geometric sequence with common ratio 3.
10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366
Find the missing value to the nearest hundredth.
Cos = 5/36
Answer:
Step-by-step explanation:
"cos" by itself is meaningless. It needs an argument.
cos(x°) = 5/36
x° = arccos(5/36) ≅ 82.2°
Linear system
x-y=9
X+2y=27
Factorize completely
80p2 - 180r2
Answer:
80p2 - 180r2
20(4p²-9r²)
20(2p+3r)(2p-3r)
Answer:
20(2p - 3r)(2p + 3r)
Step-by-step explanation:
Given
80p² - 180r² ← factor out 20 from each term
= 20(4p² - 9r²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b)
4p² - 9r²
= (2p)² - (3r)² ← with a = 2p and b = 3r
= (2p - 3r)(2p + 3r)
Thus
80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form
Is the ordered pair (4,-3) a solution for the following system of linear inequalities?
x+y<+1 y<5x-2
Answer:
no
Step-by-step explanation:
(4, -3) when plugged into the inequality x + y < 1 is not true
4 + (-3) < 1 is not true because 1 is not less than 1
please help if your able to (:
Answer:
4/9
Step-by-step explanation:
(2/3)^2 is another way of writing:
2/3*2/3
Which is 4/9
Hope this helps
Answer:
2/3*2/3 4/3
Step-by-step explanation: