Answer:
The parking lot does not form a rectangle.
Step-by-step explanation:
Given: One pair of opposite sides of parking lot are 100 yards long. The other two sides are 60 yards long.
The distance from one end of the longer side to the opposite end of the shorter side is 120 yards.
To find: If the distances given form a right triangle?
Also, to find the hypotenuse and the numbers which represent the two sides.
Solution:
In a triangle, if the square of the length of the longest side is equal to the sum of the squares of the other two sides, then the triangle is said to be a right angled triangle.
[tex](60)^2+(100)^2=3600+10000=13600\\(120)^2=14400\\\therefore (60)^2+(100)^2\neq (120)^2[/tex]
So, the triangle is not a right angled triangle.
So, none of the angles of the parking lot forming a quadrilateral is equal to [tex]90^{\circ}[/tex].
Hence, the parking lot is not a rectangle although the opposite sides are equal.
(A quadrilateral in which opposite sides are equal such each angle is [tex]90^{\circ}[/tex] is a rectangle )
The distances given do not form a right triangle.
Help please I need the answer
____________________________________
Hey!!
Solution,
Diameter (d)=17 cm
Radius(r)=17/2=8.5 cm
Circumference of circle=?
Now,
Circumference of circle=2 pi r
=2*3.14*8.5
=53.38 cm
The right answer is 53.4cm
Hope it helps
Good luck on your assignment
_________________________________
For question 25 please pick 1,2,3 or 4
Answer:
4.
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
Step-by-step explanation:
[tex]18x^2-24x+87=0[/tex]
Using Quadratic Formula
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]
Solving the discriminant:
[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]
[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]
[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]
Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]
[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]
Dividing the denominator and numerator by 6
[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]
Now rewrite it:
[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]
[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]
or
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
3 Euros can be exchanged for 22.41 Kroners. How many Euros can be exchanged for 100 Kroners?
Answer:
13.39 Euros
Step-by-step explanation:
The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.
Answer:
one dollar 75 cents
Step-by-step explanation:
lets write the original equation again
5v+7f=28.70
now, lets put in the cost of the fruit to find cost of veggies
5v+7(2.85)=28.70
5v+19.95=28.70
5v=8.75
5=1.75
Answer:
Answer: $1.75
Step-by-step explanation:
Each pint of fruit = $2.85
7 pints of fruit = 2.85 x 7 = 19.95
5 pints of veggies will cost
28.70 - 19.95 = 8.75
Each pint of veggies = 8.75 / 5 = 1.75
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train
travels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?
Do not do any rounding.
Answer:
2.4 hours
Step-by-step explanation:
after an hour the distance between them will be 80+70=150 miles
1 hour .......150 m
x hours .......360 m
x*150=360
x=360/150
x=2.4 hours
Answer: 2.4 hours
Step-by-step explanation:
Distance = speed x time
1st train = 80t
2nd train = 70t
80t + 70t = 360
t = 360/150 = 2.4 hours
I need help please, I will give whoever answers this gets brainliest
Hey!!
H (2,1),(4,3),(6,5),(2,7) is not a function.
please see the attached picture
Hope it helps
Good luck on your assignment
Please help as quick as possible
Answer:
4/81
Step-by-step explanation:
1/4, 1/6, 1/9, 2/27 series
1/6÷1/4= 1/6×4= 2/31/9÷1/6=1/9×6= 2/32/27÷1/9=2/27×9= 2/3So the common ratio is 2/3
2/27*2/3= 4/81 is the next termWHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)
Answer: $47.83
Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...
6% ⇒ 0.06
0.06 * $50.88 = $3.05
$50.88 - $3.05 = $47.83
Remember x = price before tax...
x = $47.83
for an angle 0 with the point (-5,-12) on its terminating side, what is the value of cosine?
A. -5
B. -12
C. -5/13
D. -12/13
Answer:
We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.
pls help thus is due tmr pls help.
Answer:
4. 30m; the coefficient is 30.
Step-by-step explanation:
According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.
Analyze the graphed function to find the local minimum and the local maximum for the given function. Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0.
Answer:
Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.
Step-by-step explanation:
Answer:
B,C,D
Step-by-step explanation:
If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.
============================================================
Explanation:
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value, so the answer is confirmed.
The equation that connects x and y, is, y = 12/(x^2).
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value,
Hence, The equation that connects x and y, is, y = 12/(x^2).
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
Given a= -3, b= 4 and c= -5, evaluate ab + C.
-4
-17
07
Answer:
a= -3, b= 4 and c= -5
ab + c = (-3)4+(-5) = -12 -5 = -17
Answer:
answer is -17
Step-by-step explanation:
all you have to do for this question is to plug the values for a, b, and c in the question.
ab + c would be
(-3)*4+(-5)
-12+(-5)
= -17
therefore the answer is -17
At East Middle School 28% of the students are in the band.If 168 students are in the band,how many students go to East Middle School?
Plz Help me.I will give you max points
Answer:
600
Step-by-step explanation:
% of students in the band = 28%
No. of students who are in the band = 168
Let us take the total no. of students as x
So, 28/100×x=168
= 600
Solve d = rt if r = 46 and t = 5
Hey!!
r=46
t=5
now,
D=RT
= 46*5
=230
the value of d is 230
hope it helps..
Answer:
230 is the answer
Step-by-step explanation:
Since r and t are given in the question as
r=46 and t=5
Substitute the value of r and t which is given in the polynomial
So it'll be,
d=rt
d = 46 x 5
= 230
Therefore d is 230 units
Hope this helps!
Mrs. Linda has 17.16 cups of brownie mix. If each
brownie uses 0.33 cups of mix, how many
brownies can Mrs. Linda make?
Answer:
52 brownies
Step-by-step explanation:
If you divide 17.16 by 0.33, you get 52
The figure below is made of two identical triangular prisms. What is the volume of the figure?
Answer:
Please post the figure or image of the triangular prisms.
Step-by-step explanation:
ΔFGH, the measure of ∠H=90°, the measure of ∠F=15°, and GH = 57 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
FG-220.2 feet
Step-by-step explanation:
The base of the triangle is FH
The perpendicular of the triangle GH=57 feet
The hypotenuse of the triangle is FG
We know that
sin∠F=Perpendicular/Hypotenuse
Hypotenuse= Perpendicular/sin∠F
Hypotenuse= 57/sin∠15
Hypotenuse=220.23109
Round of to nearest tenth
Hypotenuse=220.2 feet
Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?
A. 0.003
B. 0.3
C. 0.0003
D. 0.03
Answer:
A. 0.003
Step-by-step explanation:
When using decimals to represent a percentage it goes as follows:
100% = 1
75% = 0.75
50% = 0.5
25% = 0.25
1% = 0.01
And in the case of this problem: 0.3% = 0.003
Help please!! Anyone??
Answer:
38
Step-by-step explanation:
180-142=38
Answer:
180-142 (supplementary angles)
38
If you cut a 12-inch loaf of bread into -inch slices, you would have ______
slices of bread.
Answer:
12 divided by 1/2 = 24
Step-by-step explanation:
7. The temperature in Springfield at 10:00 a.m. was 78°F. During the day, it dropped to 56°F. Write and solve an equation to
find the decrease in temperature.
Answer:
78-56=22 degrees
Step-by-step explanation:
You wanna take away 56 degrees from 78 degrees and you will get ....
What's the center of the circle with the equation
(x−9)^2+(x+16)^2=25?
(9,−16)
(−9,16)
(3,−4)
(−3,4)
Answer:
Center = (9, -16)
Step-by-step explanation:
So you already have the center in the equation.
The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
Center = (9, -16)
Find the value of n.
n = -1.-7
Answer:
n = 7
Step-by-step explanation:
n = (-1) x (-7)
Simplify:
When two minus signs appear in the product of two numbers, you can cancel them out.
Therefore:
n = (1) x (7) = 7
Hope this helps!
:)
pls help help me need help!!
Answer:
50 feet
Step-by-step explanation:
[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]
Hope this helps!
Answer:
50 feet
Step-by-step explanation:
hope this helps
A serving tray is in the shape of a rectangular prism without a top. The dimensions of the tray are 8 inches by 10 inches by 2 inches. What is the surface area of the tray?
A: 152 square inches
B: 212 square inches
C: 216 square inches
D: 232 square inches
Answer:
it's a 152
Step-by-step explanation:
The surface area of the rectangular prism is S = 232 inches²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
A serving tray is in the shape of a rectangular prism without a top.
And , dimensions of the tray are 8 inches by 10 inches by 2 inches.
So , surface area A = 2(80) + 2(16) + 2(20)
A = 160 + 32 + 40
A = 232 square inches
Hence , the surface area is 232 inches²
To learn more about surface area of prism click :
https://brainly.com/question/9183590
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The diameter of a circle is 20m. Find its area in terms of pie(urgent)
Answer:
100 pie m^2
[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]
Answer:
[tex]= 100\pi {m}^{2} \\ [/tex]
Step-by-step explanation:
[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]
[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]
hope this helps
the diagram shows the diiferance between my home h and two towns
Answer:
a. 20 mins
b. 30 mins
c. 4mph
Answer:
a)30
b)40
c)36
Step-by-step explanation:
Could you plz help me with this one question
Answer:
90 degrees.
Step-by-step explanation:
Add all of the degrees together 270 plus 90 its makes a 360 degree.
U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help
Answer:
6
Step-by-step explanation:
60 mins ÷5= 12. 12 x2=24
60 mins ÷6=10. 10x3=30
30-24=6
