Answer:
Perimeter = 28 yards
Area = 49 square yards.
Step-by-step explanation:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).
Using distance formula, we get
[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]
Similarly,
[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]
[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]
[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]
It is conclude that, [tex]AB=BC=CD=AD[/tex].
From the given points it is clear that all sides lie on either vertical or horizontal lines.
Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.
Perimeter of square floor is
[tex]P=4a=4(7)=28\text{ yards}[/tex]
Area of square floor is
[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]
Therefore, the perimeter is 28 yards and the area is 49 square yards.
Which is greater 8/25 or 0.32
[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.
This means that these two are equal. hope this helps!
8/25 is equal to 0.32
let me know if u need explanation
Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3
Answer:
y = -1/3x+3
Step-by-step explanation:
use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer. y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
The equation that represents the graphed function would be; y = -1/3x+3
We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.
Now plug in the values and get the answer.
y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 3-2) / ( 0-3)
m = -1/3
The equation will be y=-1/3x+3
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Help please.....anyone
Answer:
200 dollars
Step-by-step explanation:
Write the equation of the line with the following characteristics.
a)Parallel to y=7x+2 through the point (0,0)
b)Slope of 2 through the point (0,−3)
c)A horizontal line through the point (0,3)
d)A vertical line through the point (−2,0)
PLZZZZ HELP VERY URGENT
Answer:
y = 7x
y = 2x -3
y = 3
x = -2
Step-by-step explanation:
Slope-intercept form: y= mx+bParallel lines have same slopea)Parallel to y=7x+2 through the point (0,0)
This line will have a form:
y= 7x + bConsidering the given point of (0,0), to find the value of b:
0= 7*0+b ⇒ b =0The line is:
y = 7xb)Slope of 2 through the point (0,−3)
Solving as above:
y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3c)A horizontal line through the point (0,3)
A horizontal line will have constant value for y for any value of x:
y = 3d)A vertical line through the point (−2,0)
A vertical line will have constant value of x for any value of y:
x= -2Which number is rational?
Answer:
D
Step-by-step explanation:
0.333... is rational because it can be lined up to the fraction 1/3.
Answer:
D.
Step-by-step explanation:
The definition of a rational number is a number that can be expressed as the ratio of two integers.
We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.
We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.
I hope this helps!
what is the absolute value of l 10 - 11 l =
Answer:
1
Step-by-step explanation:
l 10 - 11 l = |-1|= 1
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]\left|10-11\right|[/tex]
[tex]\left|-1\right|[/tex]
[tex]=1[/tex]
Evaluate the following expression.
(5x)"
1
Answer:
1
Step-by-step explanation:
Anything to the power of zero is one
someone plz help i need it in like 3 minutes
Answer:
B
Step-by-step explanation:
A: -(3/-2)=-(-3/2)=3/2
B:3/-2=-3/2
C:-(-3/2)=3/2
D:-3/-2=3/2
what is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.
Answer:
Step-by-step explanation:
r = 8 in
h = 5 in
Volume of cylinder = πr²h
= π * 8 * 8* 5
= 320π in³
Answer:
v=hpir^2
h=5
r=8
v=5pi8^2
v=5pi64
v=320pi cubic inches
Step-by-step explanation:
Find the slope of a linear function passes through the points (3,2) and (-4,1)
Answer:
1/7
Step-by-step explanation:
We can use the slope formula(k=y₁-y₂/x₁-x₂) to solve this problem
k = 2-1/3-(-4) = 1/7
Find the lateral surface area of the rectangular prism in centimeters.
A)
196 cm2
B)
218 cm2
C)
232 cm2
D)
240 cm2
The lateral surface area of the rectangular prism is: D. 240 cm²
What is the Lateral Surface Area of a Rectangular Prism?The lateral surface area of rectangular prism = 2(l + w)h.
Given the following:
Length (l) = 9 cmWidth (w) = 6 cmHeight (h) = 8 cmPlug in the values into the formula
Lateral surface area of the rectangular prism = 2(9 + 6)8
Lateral surface area of the rectangular prism = 240 cm²
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An object has a mass of 35.0 grams. On Anthony’s balance, it weighs 38.5 grams. What is the percent error of his balance?
Answer:
10%
Step-by-step explanation:
35 ÷ 100 = 0.35
38.5 - 35 = 3.5
3.5 ÷ 0.35 = 10%
What is this angle ?
A.It is an adjacent angle.
B.It is a right angle.
C.It is a vertical angle.
D.It is a supplementary angle.
Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)
Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)
Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.
This may be a little confusing, so don't be afraid to ask for clarification, but great luck!
What is the common ratio for this geometric sequence? 64, 16, 4, 1, … A. B. 4 C. D. 8
Answer:
1/4
Step-by-step explanation:
Each term is a fourth of the term before.
So, each term is the previous term multiplied by 1/4
Answer:
1/4
Step-by-step explanation:
−2⋅f(−6)−7⋅g(−7) = ?
Answer: +12f +49g
-2f(-6)-7g(-7)
No if your looking for the graph answer on Khan academy then it's 11
What is the volume of a hemisphere with a radius of 40.7 in, rounded to the nearest tenth of a cubic inch?
Answer:
[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]
[tex]\pi =3.14[/tex]
[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]
[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]
Step-by-step explanation:
1. Volume of sphere
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
2. Volume of hemisphere
[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]
The volume of hemisphere is 1,41,130.7 cubic inch.
What is hemisphere?The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.
Given the radius of hemisphere = 40.7 inches
to find the volume,
volume of hemisphere = 2/3πr³
volume of hemisphere = 2/3(3.14)(40.7)³
volume of hemisphere = 2/3(3.14)(67419.143)
volume of hemisphere = 1,41,130.7 cubic inch.
Hence the volume is 1,41,130.7 cubic inch.
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Which of these graphs do not represent constant rates of change? Check all that apply.
Answer:
A,D
Step-by-step explanation:
I'm taking the test
The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.
Hence, option A and option D are correct.
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I’m confuse I need help
Answer:
f(-5) = -5/4
Step-by-step explanation:
Answer:
Answer is -1/20
Step-by-step explanation:
Hope this helps.
Please answer the attachment below and say which number goes in the first or second, etc.
Answer:
use calculator
Step-by-step explanation:
1/500=0.002
3 2/25=308%
2.6=2 6/10
0.25%=0.0025
Answer:
They are actually in the correct order left to right !
Step-by-step explanation:
1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.
1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.
In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!
As stated above when displaying percentages in decimal form:
100% = 1,
25% = 0.25,
1% = 0.01,
0.25% = 0.0025!
What is the volume of the shed?
Answer:
38 m^3
Step-by-step explanation:
The shape of the shed is a prism.
volume = area of base * height
The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.
area of base = area of rectangle + area of triangle
The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m
area of base = LW + (1/2)bh
area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)
area of base = 15 m^2 + 4 m^2
area of base = 19 m^2
height of prism = 2 m
volume = area of base * height
volume = 19 m^2 * 2 m
volume = 38 m^3
Question 4(Multiple Choice Worth 1 points)
(06.04 MC)
A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters:
(x − 4)(3x − 1)
Which of the following simplified expressions represents the area of the floor of the conference room in square meters?
x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4
Answer:
[tex]3x^2-13x+4[/tex]
Step-by-step explanation:
[tex](x - 4)(3x - 1)[/tex]
[tex]3x^2-1x-12x+4[/tex]
[tex]3x^2-13x+4[/tex]
Rewrite each of the following questions as a statistical question. I WILL GIVE BRAINLIEST!!
a. How many pets does your teacher have?
b. How many points did the high school soccer team score in its last game?
c. How many pages are in our math book?
d. Can I do a handstand?
Answer:
How many pets do my teachers have?
How many points did the high school soccer team score in its last few games?
Which of our school books has the most pages?
How many handstands can I do in 10 mins?
Step-by-step explanation:
To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.
The Statistical question are:
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?What is Statistical Question?A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.
A statistical question is one that can be answered by gathering varying amounts of data.
Make the question so that you can collect more than one piece of data to convert it into a statistical query.
So, the Conversion into statistical question are
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?Learn more about Statistical Question here:
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The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:
Answer:
Step-by-step explanation:
Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
What is Cramer's rule?Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.
Given that,
[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]
solution by Cramer's rule
[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A = -320[/tex]
[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A_1 = 7210[/tex]
[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]
[tex]A_2=-10135[/tex]
[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]
[tex]A_3=-2770[/tex]
[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]
[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]
[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]
[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]
Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
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Pls do 4,5 for 7 points.
Answers:
6-5please see the attached picture for full solution
hope it helps
Good luck on your assignment...
4x + 7y= 60
- 4x + 7y= -4
O A. (1,0)
O B. (4,7)
O C. (8,4)
OD. (2,4)
Answer:
C. (8, 4)
Step-by-step explanation:
I graphed it
Answer:
(8,4)
Step-by-step explanation:
4x + 7y= 60
- 4x + 7y= -4
Add the two equations together to eliminate x
4x + 7y= 60
- 4x + 7y= -4
-----------------------
14y = 56
Divide each side by 14
14y/14 = 56/14
y = 4
Now find x
4x +7y = 60
4x +7(4) = 60
4x+28 = 60
Subtract 28 from each side
4x = 60-28
4x= 32
Divide by 4
4x/4 = 32/4
x =8
Pls Help!!!
Just an example of how to do it pls!
10m + n^2/4
m = 5
n = 4
We can now substitute numbers in for the variables.
10(5) + (4)^2/4
50 + 4^2/4
50 + (4 * 4)/4
50 + 16/4
50 + 4
= 54
Answer:
Its 54 guys explanation in COMMENTS
Heres rule for 2nd term
x^n/x^(n-1) = x
Please help me asap ty
Step-by-step explanation:
First, I would work out the missing angle:
25° + 90° (right-angle) = 115°
180° - 115° = 65°
The missing angle is 65°.
-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit
Answer:
Side AB = 4.41
There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP
Answer: Yes
if the selection is randomly picked and it's within the statistical population.
Step-by-step explanation:
Sampling is the random selection of objects within the statistical data or population.
This random selected individual will represent the whole population.
If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.
Do masks increase or decrease the sales of breath mints?
completely factor -6x^3+11x^2+10x
Answer:
-x (2 x - 5) (3 x + 2)
Step-by-step explanation:
Factor the following:
-6 x^3 + 11 x^2 + 10 x
Factor -x out of -6 x^3 + 11 x^2 + 10 x:
-x (6 x^2 - 11 x - 10)
Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):
-x 2 x (3 x + 2) - 5 (3 x + 2)
Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):
Answer: -x (2 x - 5) (3 x + 2)
