Answer:
AB = 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(6, 3) and (x₂, y₂ ) = B(- 1, 4)
AB = [tex]\sqrt{(-1-6)^2+(4-3)^2}[/tex]
= [tex]\sqrt{(-7)^2+1^2}[/tex]
= [tex]\sqrt{49+1}[/tex]
= [tex]\sqrt{50}[/tex]
= 5[tex]\sqrt{2}[/tex] ← exact value
≈ 7.07 ( to 2 dec. places )
How to find 0.50% of 5 mentally
Answer:
Hi it is me again :)
Step-by-step explanation:
multiply the numbers
Is this independent or dependent
Answer:
2nd one - independent
3rd one - Dependent
4th one - independent
Step-by-step explanation:
Pls help with this. I will mark BRAINLIEST!
How can an area model help you set
up an equation for a problem situation?
Answer: In mathematics, an area model is a rectangular diagram or model used for multiplication and division problems, in which the or the and define the length and width of the rectangle.
We can break one large of the rectangle into several smaller boxes, using number bonds, to make the calculation easier. Then we add to get the area of the whole, which is the or quotient.
Step-by-step explanation:
For example, you can find the product 23 × 37 by finding the area of a rectangle with a width of 23 and a length of 37: Of course, there is little gained if you simply multiply 23 × 37! What makes the area model useful is that area is a conserved quantity.
2 3/5 divided by 7/9?As a Multiplication fraction
Answer:
it will be 13/5 x 9/7
Step-by-step explanation:
2 3/5 / 7/9
2 x 5 = 10
10 + 3 = 13
13/5
flip 7/9 to 9/7
Write two equivalent expressions for the following expression: 3x-12
Answer:
3(1x-4) and (2x+1)-(6+6)
Step-by-step explanation:
Pls help!!!!
30 cm = m
Answer:
I assume that "m" means meters. If so it would be 0.3 meters
Step-by-step explanation:
The ratio of red to blue marbles in a bag is 3:2. If there are 18 red marbles in the bag, how many
blue marbles are in the bag?
A 27
B 24
C36
D 12
Mathematics:
Which is a better deal and why? Giant: $19.50 for 2.75 pounds beef chuck OR
Sam’s Club: $35 for 5 pounds of beef chuck
hi, I need help plz
Answer:
TABLE 1:
88
80
65
57
50
41
45
28
14
4
TABLE 2:
176
164
132
108
90
81
60
28
11
2
Step-by-step explanation:
When two angles are complementary they add up to 90 degrees
so for example if angle 1 is 2 angle two must equal 88 (they have to add up to 90)
When two angles are supplementary they must add up to 180 (so it's the same process as table 1 but instead of adding to 90 it's 180)
Answer:
m<2 88,80, 65, 57, 50, 41, 35, 28, 14, 4
m<4 176, 164, 132, 108, 90, 81, 60,28, 11, 2
Step-by-step explanation:
complementary means they add up to 90°
m<2 88,80, 65, 57, 50, 41, 35, 28, 14, 4
supplementary means they add up to 180°
m<4 176, 164, 132, 108, 90, 81, 60,28, 11, 2
(timed test)
Which equation is represented by the graph?
A) y=(1/3)^x
B) y=(1/3)^x +2
C) y=(1/3)^x +3
D) y=3(1/3)^x
Answer:
the answer should be A
Step-by-step explanation:
Help me with this!!!!!
Answer: it would be y=-4x+2
Answer:
the second option (y= -4x + 2)
Step-by-step explanation:
Which statements are true about expressions? Select all that apply.
A Expressions have no equal signs.
B
Letters are called variables.
C
An expression has only 2 terms.
D
A number without a variable is called a constant.
A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of fence, whats the maximum area he can enclose?
The dimensions of the rectangular pigpen with the largest possible area are 50 ft×25 ft.
The area and perimeter of a rectangle in the study of differential calculus, specifically in optimization problems are functions of two variables that depending on what is requested in these problems can be objective functions or link functions between the variables.
We use what we know about the perimeter of the rectangle to find a condition equation that expresses the length a in terms of the width b.
P(a, b)=a+2b [Perimeter of the fence of the rectangular pigpen]
p(a, b)=2a+3b [Substitute P(a, b)=100]
100=a+2b
a=100-2b
We must find the largest area. Using the condition equation, find the area as a function of the variable b.
A(a, b)=ab [total area of the rectangular pigpen]
A(a, b)=(100-2b)b [Replace a=100-2b]
A(a, b) = 100b-2b²
Objective function Domain
A(a, b) = 100b-2b²
D={b∈R : b>0} [Domain of the objective function]
To find the extremes of the function we have to look for the critical points of the function and apply the second derivative test.
A(a, b) = 100b-2b²
A'(a, b) =100-4b [First derivative of the objective function]
A'(b)=0
100-4b=0
4b=100
b=25 [Critical point]
Applying sufficient condition for extremes
A'(b)=100-4b [First derivative of the objective function]
A''(b)=-4 [Second derivative of the objective function]
A''(b)=-4 [A''(b)<0∀b∈D]
b=25 [Maximum point of the objective function]
Calculate the dimension of the rectangular pigpen
b=25 [Width of the rectangular pigpen]
a=100-2(25)=50 [Length of the rectangular pigpen]
Therefore, the dimensions of the rectangular pigpen with the largest possible area are 50 ft×25 ft.
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Answer true/false. If false, give a counterexample
11. Perfect squares are closed under multiplication
Answer:
That is true because squares are also closed for multiplication.
A construction worker fills a mold with concrete. This solid figure represents the mold.
What is the volume of the concrete that fills the mold?
Answer:
volume = 338 x 20 = 6760 cm^3
Step-by-step explanation:
large rectangular top area = 14 x 22 = 308 cm^2
small rectangular top area = 6x5 = 30 cm^2
total top area = 308 + 30 = 338 cm^2
volume = 338 x 20 = 6760 cm^3
A line that has a slope of 1/3 and passes through the point (-9,5)
Answer:
[tex]y = \frac{1}{3}x + 8[/tex]
Step-by-step explanation:
using the slope-intercept formula, u have this so far as an equation (just knowing the slope): [tex]y = \frac{1}{3}x + b[/tex]
To find the y-intercept, substitute in the values of the coordinates given to solve for b:
[tex]y = \frac{1}{3}x + b\\5 = \frac{1}{3}(-9) + b\\5 = -3 + b\\8 = b[/tex]
so u can just put 8 into your slope-intercept formula ([tex]y = \frac{1}{3}x + 8[/tex]) and that's it! hope this helps!
Find the volume of the cone 3ft and 2 ft. Round your answer to the nearest tenth if necessary. Use 3.14 for pie
Answer:
37.68 ft^3
Step-by-step explanation:
The parameters used in describing a cone is radius and height
Hence
Radius= 3ft
Height = 2 ft
The volume of a cone is given as
[tex]v=\frac{1}{3} \pi r^2 h[/tex]
substitute
[tex]v=\frac{1}{3}*3.14*3^2*2^2\\\\v=\frac{1}{3}*3.14*9*4\\\\v=\frac{1}{3}*113.04\\\\v=37.68 ft^3[/tex]
Hence the volume is 37.68 ft^3
please solve this.
[tex]log(n + 2) = log({n}^{2} - 70)[/tex]
Answer:
n=9
S-B-S explanation: /Strikethrough/ - this means you can cut these parts out because they are not needed.
/log/(n+2) = /log/(n^2-70)
/n+2/ = n^2-70
/-n-2/____-n-2
------------------------------
= (0=n^2--n--72)
(n-9) =0 ______ (n+8) =0
n-9= 0 _______ n+8= 0
+9= +9 ________ -8= -8
-------------________-------------
__n=9___________ /n=-8/
The table shows some points on the graph of a quadratic function. Which equation represents the same relationship?
A. y = -4x + 4
B. y = x^2 - 4x
C. y = x - 4
D. y = x^2 - 4
Answer:
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help? mathhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
a + 20 = 7*12 (multiplied both sides by 12)
a + 20 = 84 (calculated 7*12)
a = 84 - 20 (subtracted 20 on both sides)
a = 64 (calculated 84-20)
Mark was thinking of a number mark halves the number and gets an answer of 53.2 form an equations with x from the information
Answer: The number is 106.4
Step-by-step explanation:
Let the number be x
Mar halves the number becomes = x x 1/2 to get 53.2
The equation to solve this problem is x/ 2 = 53.2
Such that to find x
x/2= 53.2
x = 2 x 53.2= 106.4
The number is 106.4
if 9 out of 25 people are left-handed what percent are right-handed
Answer:
64% people are right handed
Step-by-step explanation:
let the total be 100%.
(9/25 x 100) left handed
36% are left handed.
100% - 36% = 64% are right handed.
Thank you and
please Mark me as brainlist .
sam buys a box of markers for 2.85, but he has a coupon for 20% off. how much does he save with the coupon?
Answer:
85 cents
Step-by-step explanation:
i belive
Kate plans to use four triangles like the one shown to form a diamond
shape.
For her plan to work, the triangle must be a right triangle.
Determine whether the triangle is a right triangle.
Answer:
The triangle is a right triangle.
Step-by-step explanation:
In the given triangle, three sides are given.
First side = 15 cm
Second side = 17 cm
Third side = 8 cm
We need to determine whether the triangle is a right triangle. For a triangle to be a right angle, it must follow the Pythagoras theorem.
The hypotenuse is the longest side of a right triangle. Let 17 cm be the hypotenuse. So,
[tex]17^2=15^2+8^2[/tex]
Now solving RHS,
[tex]15^2+8^2=225+64\\\\=289[/tex]
Now solving LHS, 17² = 289
It implies, LHS = RHS
Hence, the triangle is a right triangle.
A car depreciated $1000 the first year it was owned and driven. In years 2 and
3, it depreciated $700 and $500, respectively. What type of depreciation is
this?
A. Accelerated depreciation
B. Flat depreciation
C. Straight-line depreciation
D. Curved-line depreciation
AAnswer:
Step-by-step explanation:
Answer:
accelerated depreciation
Step-by-step explanation:
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There are 144 microscopes in boxes at a school. Each box has 24 microscopes. Which equation could be used to find b, the number of boxes of microscopes at this school?
A. 24 + 144 = b
B. 144 - B = 24
C. B divided 24 = 144
D. 24 x b = 144
Answer:
i think that the answer would be C
Step-by-step explanation:
I need help with my math so this is the question this is 5th grade math im have trouble with it so this is what it is 1- 3/4 x 2- 1/6 What are the steps i need help
Answer:
[tex]\dfrac{-2}{3}[/tex]
Step-by-step explanation:
Given that:
[tex]1 - \dfrac{3}{4} \times 2 - \dfrac{1}{6}[/tex]
[tex]\text{using BODMAS}[/tex]
[tex]\text{we first find the multiplication before subtracting the values}[/tex]
[tex]\text{So;}[/tex]
[tex]1 - \dfrac{3}{2} - \dfrac{1}{6}[/tex]
[tex]\text{now we look for the lowest common multiple L.C.M}[/tex]
[tex]= \dfrac{6 - 9 - 1}{6}[/tex]
[tex]= \dfrac{-4}{6}[/tex]
[tex]= \dfrac{-2}{3}[/tex]
Which is the x coordinate of the point on the graph ?
Answer:
-5
Step-by-step explanation:
Cuz it lines up to -5 on x-axis
im begging yall please help me!please someone
Answer:
2.5
Step-by-step explanation:
Which value is closest to the perimeter of the window?
WITH EXPLANATION HOW YOU GOT IT!!!!
3.93 ft
0 6.43 ft
07.85 ft
10.85 ft
The perimeter of the window is 3.93 feet.
What is perimeter?
Perimeter is the total length of the sides of a two-dimensional shape.
Formula for perimeter of the semicircle:perimeter = πr
Where, r is the radius of the circle
And, π = 3.14
According to the given question.
The window is in the shape of semicircle.
Radius of the window = [tex]\frac{2.5}{2} = 1.25 feet[/tex]
Therefore, the perimeter of the window
= π × 1.25 ft
= 3.14 × 1.25
= 3.925
= 3.93 feet
Hence, the perimeter of the window is 3.93 feet.
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