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.
10=|m+2| solve the equation
Answer:
8 = m -12 =m
Step-by-step explanation:
10=|m+2|
There are two solutions to the absolute value equation, one positive and one negative
10 = m+2 -10 = m+2
Subtract 2 from each side
10-2 = m+2-2 -10-2 = m+2-2
8 = m -12 =m
Answer:
8, -12
Step-by-step explanation:
use a online calculator
Here is a picture of a Ferris wheel. It has a diameter of 80 meters.
About how far does a rider travel in one complete rotation around the Ferris wheel? Round your answer to the nearest whole number. Use 3.14 for π.
Enter your answer in the box below.
_____ meters
Answer:
251.2 m
Step-by-step explanation:
Circumference = 2 x π x r
C = 2 x 3.14 x 40
C = 251.2
Circumference of a circle
The path or the boundary that encircles any shape is defined by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's outline is. The circle's perimeter is measured in this way. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.
We take radius of the circle and pi to calculate the circumference of circle.
The formula of circumference of circle is 2πr.
R is radius of the circle and π is mathemetical constant which value approx 3.14
In the question it is given that the diameter of a wheel is 80m. So, radius is half of diameter, 40m.
So, the circumference = 2πr
= 2 × 3.14 × 40 = 251.2m
Rider has to travel 251.2m to cover one complete rotation.
To know more about circumference of circle click the link below.
https://brainly.com/question/20489969
#SPJ2
Evaluate 5(6) -c ifc=7
Answer:
The answer should be 23.
Step-by-step explanation:
If C=7, then you just need to plug 7 into the equation.
5(6) - 7
From there, you just need to multiply 5 times 6 which is 30. After that you have 30-7 which gets you 23.
Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y > 4.
O (2, -1) satisfies the inequality, but (- 4, 2) does not.
Both (2, -1) and (-4, 2) satisfy the inequality.
(-4,2) satisfies the inequality, but (2, - 1) does not.
Neither (2, - 1) nor (- 4,2) satisfies the inequality.
Answer:
Both
Step-by-step explanation:
The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
(2, - 1) and (-4, 2) and inequality 2x – 3y > 4
Now, (2, -1)
2(2) - 3(-1)
4 + 3
7>4
and, take (-4, 2)
2(-4) - 3(2)
= -8 -6
= -14 < 4
Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.
Learn more about Inequality here:
https://brainly.com/question/28823603
#SPJ5
Find the value of x from this question
Answer:
45 degrees
Method: Parallel
How do I solve this 4x-2y=8 y=3/2x-2
Answer:
y=1 and x= .5
Step-by-step explanation:
distribute
the x has to be solved
they when got the answer
input the answer you got for x into the y and subtract and divide
the answer is one for x
directly with the number of tickets suppose seven tickets cost 126 how much would 12 tickets cost
Answer:
$216
Step-by-step explanation:
126 ÷ 7 = $18
18 × 12 = $216
The number 16 has two square roots: 4 and _
Answer:
4
Step-by-step explanation:
4 times 4 = 16
Answer:
sqrt(16) = +4 and -4
Step-by-step explanation:
A square root has a positive and a negative square root
sqrt(16) = +4 and -4
NEED HELP. as soon as possible
An electrician charges $15 per hour and spends $30 a day on gasoline. At the
end of the day, he is left with $105. Represent his earnings for one day using
a mathematical statement if he works for "x" hours in a day.
Which is the equation of the graphed line written in standard form?
A. y=x
B. x-1/2y=0
C. x-y=0
D. y=1/2x
Answer:
The standard for of this equation is x – y = 0
Firstly, options A and D are not in standard form, so they are not options.
To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).
x – y = 0
2 - 2 = 0
0 = 0
This is true for option C. Therefore, it is correct.
hope this helps
Plz help me it’s emergency
Answer:
idk
Step-by-step explanation:
1/4 can also be written as .25
1 divided by 4 is .25
114 times .25 = answer
154 times .25 = answer
14 weeks is expressed as a percentage of 50 weeks is?
Answer:
28%
Step-by-step explanation:
Fraction= 14 out of 50 weeks
To find percentage multiply the fraction by 100
14/50 * 100
= 1400/50
= 28 percent
Answer:
28%
Step-by-step explanation:
50 ws ................ 100%
14 ws ......................x%
x = 14*100/50 = 14*2 = 28%
Factor completely 40xy2 − 36x2y. (4 points)
4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)
Answer:
4xy(10y - 9x).
Step-by-step explanation:
40xy2 − 36x2y
The Greatest Common Factor (GCF) of 40 and 36 is 4.
GCF of x and x^2 is x,
GCF of y^2 and t is y.
So GCF = 4xy.
and the factors are:
4xy(10y - 9x).
Please answerrrrrrr !!!! please
I don’t know how to label the sides as “opposite, adjacent, hypotenuse” so I’m not sure which formula to use
Step-by-step explanation:
The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)
I'll explain a bit more below using the some of the questions.
Q1) The given angle here is 27°.
X is facing the given angle hence it is the opposite side.
The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.
tanθ= opp/adj
tan27°= x/ 10
x= 10(tan 27°)
x= 5.1 units (nearest tenth)
Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.
cosθ= adj/hyp
cos39°= x/7
x= 7(cos39°)
x= 5.4 units (nearest tenth)
Q4) x is the hypotenuse and the opposite side is 8 units long.
sinθ= opp/hyp
sin46°= 8/x
x(sin46°)= 8
x= 8/ sin46°
x= 11.1 units (nearest tenth)
Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.
tanθ= opp/adj
tan23°= x/6
x= 6(tan 23°)
x= 2.5 units (nearest tenth)
Feel free to ask if you still do not understand any concepts :)
sinθ= opp/hyp
cosθ= adj/hyp
tanθ= opp/adj
What is the product of -2.49 and 2.24?
Answer:
-5.5776
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
Answer:
Hey!
Your answer is -5.5776!
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
That is your solution!
HOPE THIS HELPS!!
Graph the inequality.
3x + 4y <4
In the box below, describe the graph.
Answer:
y < 1 - (3x)/4
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y < 1 − 3 x /4
the graph is partially shaded. the shade crosses through (0,1) and (1,0). I hope you can figure that out :)
15 POINTS!!!
Solve 3(−3−3x)+4=−5.
The solution is x=___
To convert a distance of 4500 yards to miles, which ratio could you multiply
by?
O A.
1760 miles
1 yard
B.
5280 feet
1 mile
C.
1760 yard's
1 mile
D.
1 mile
1760 yards
SUBMIT
60 miles/1 hour * 5380/1 mile * 1 hour/60 min * 1 min/60 seconds
Answer:
Don't understand this
A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?
Answer:
t = 2 sec
Step-by-step explanation:
h = – 2t²– 6t + 20
When the rocket hits the ground. h = 0 ft.
– 2t²– 6t + 20 = 0 /: (-2)
t² + 3t - 10 = 0
(t + 5)(t - 2)=0
t = - 5, t = 2
Time can be only positive.
Which statement can be represented by the equation 18+m-7.2?
A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.
Answer:
Eighteen decreased by a number, m, is seven point two.
Step-by-step explanation:
18+m=7.2
m=7.2-18
m= -10.8
18+(-10.8)
18-10.8=7.2
Eighteen decreased by a number m is seven point two
The statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.
HOW TO ANALYZE WORD PROBLEM?Word problem are used in mathematical solutions to create a word out of mathematical expressions and vice versa.
According to this question, the following expression is given: 18+m = 7.2
The mathematical expression can also be written as m = 7.2 - 18
Therefore, the statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.
Learn more about word problems at: https://brainly.com/question/468645
The graph of a quadratic equation opens down when the value of is negative.
Answer:
given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value
Step-by-step explanation:
PLEASE HELP! I'M STRUGGLING! WILL GIVE BRAINLIEST
Consider the letters of the word STRIVE are written on individual cards are placed in a box.
What is the complement to randomly choosing an R?
Answer:
1/6
Step-by-step explanation:
Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)
Answer: 5/6
The complement of an event is basically the complete opposite.
If you define event A to be the event of selecting an R, then the complement of event A is not selecting R.
The probability of selecting R is 1/6 because there is 1 letter R out of 6 letters total. The complement of this is 5/6. You could count out 5 letters that aren't R, out of 6 total, or you can subtract 1/6 from 1 to get
1 - (1/6) = (6/6) - (1/6) = (6-1)/6 = 5/6
The triangles below are similar because of the:
4
Z
х
12
6
2
Y
A
B
9
0000
AA similarity postulate.
SSS similarity theorem.
SAS similarity theorem.
The triangles are not similar.
Insufficient evidence. Would you please send a screenshot or a picture of the paper?
help me please <3 thank youu
Answer:
7,2,3
D
Step-by-step explanation:
Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x,y) → (-x, -y)?
у
6
5
Z
Y'
4
3
X
2
1
х
1. 2. 3. 4. 5. 6
6.-5.4-3-2-11
-2
5
LE
Ty
Answer:
W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)
Step-by-step explanation:
In the figure attached, the quadrilateral W'X'Y'Z' is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:
W'(2, 3) -> W(-2, -3)
X'(6, 3) -> X(-6, -3)
Y'(6, 4) -> Y(-6, -4)
Z'(3, 5) -> Z(-3, -5)
Answer:
the answer is A
Step-by-step explanation:
Mark me brainliest
A cylinder has a volume of 24 cubic feet. Which of the following could have the same radius and height as the cylinder? A A cone with a volume of 32 cubic feet B A sphere with a volume of 18 cubic feet C A cone with a volume of 72 cubic feet D A cone with a volume of 8 cubic feet
Answer:
A. a cone with a volume of 32 cubic feet
Step-by-step explanation:
A museum opened at 8:00 a.m. In the first hour, 350 people purchased admission tickets. In the second hour, 20% more people purchased admission tickets than in the first hour. Each admission ticket cost $17.50.What was the total amount of money paid for all the tickets purchased in the first two hours? Show your work.
Answer: $13,475
Step-by-step explanation:
1st hour = 350
2nd hour = 420
Total 770 x $17.50 = $13475
